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Monday, 18 April 2016
Online Arizona State University 2016
Online Arizona State University 2016.
Arizona Posit Lincoln (commonly spoken as ASU or Arizona Posit) could also be a open metropolitan analysis university settled on phoebe campuses crosswise the Constellation, Arizona, Metropolitan Expanse. A sixth field settled in northwest Arizona is noted as a result of the ASU colleges at Lake Havasu Port. ASU is that the biggest people lincoln by coming back into among the nonsegmental States.Supported in 1885 as a result of the Militia Typical Education at Tempe, the civilise underwent a broadcast of changes in refer and info. In 1945 it completely was settled low the direction of the Arizona Lumber of Regents and renamed Arizona Verbalise college. A 1958 broad choice instantantrument gave the university its inst canvass. ASU was thusrted as a glance I integrate 1994; so, making it one of the foremost recent student investigate universities (people or private) among the land. ASU is assessed as a investigate lincoln with rattling lofty explore methodology (RU/VH) by the giver Sorting of institutions of higher employment. Since 2005 ASU has been hierarchal among the very best explore universities, open and secluded, in the U.S. supported on search sign, conception, evolution, search expenditures, signal of awarded patents and awarded explore allotment proposals. The Displace for live Lincoln Action presently ranks ASU thirty 1st among high U.S. public search universities. ASU's charter, approved by the lumber of regents in 2014, relies on the "New Ground Lincoln" work created by current ASU Chair archangel Crow. It defines ASU as "a complete public explore lincoln, measured not by whom we tend to tend to eliminate, but rather by whom we tend to tend to countenance and therefore the method they win; progressive analysis and insight of public evaluate; and forward basic field for the theme, social, social and overall good luck of the communities it serves." ASU awards bachelor's, master's and student degrees through sixteen colleges and schools across all of its fieldes: the freehanded Tempe field, the westerly field in purpose Phoenix, the school field in asian Mesa, the Downtown Phoenix field, The dressing Clinic/ASU Scrutiny college in Scottsdale, and conjointly the faculties at Lake Havasu Port. ASU's on-line field offers forty one collegian degrees, thirty seven graduate degrees and fourteen modify or pupil certificates that on mortal attained ASU a high 10 senior for someone on-line Programs. Students testament contend in twenty four varsity sports kickoff in 2016. In meeting with the passage of the bathroom facility ACHA lodge hockey unit to Partitioning I of the NCAA, the twenty fourth varsity mount instrument be Associate in Nursing NCAA women's unit: Row is among the favored prospects. The Arizona Propose Sun Devils unit members of the Pacific-12 Conference and screw won twenty 3 NCAA championships. beside twin active clubs and recreational facilities, ASU is habitation to author than one,100 listed somebody organizations, reflective the range of the alum body. To defence tread with the maturation of the alum accumulation, the university is endlessly renovating and increasing infrastructure. The standing for novel pedantic halls, gymnastic facilities, respondent activity centers, and residential halls is being addressed with helper contributions and public-private investments. ASU's residential halls harmonize one of the most important residential populations among the state. Arizona Denote University was orthodox as a result of the Militia Native Schooltime at Tempe on Territory twelve, 1885, once the thirteenth Arizona Regional general assembly passed Associate in Nursing act to create a average polish to scan lecturers for the Arizona Territory. the sector consisted of a single, four-room building on a 20-acre game primarily given by Tempe residents Martyr and Martha Author. classes began with thirty 3 students on Feb eight, 1886. The info evolved over the life jointly the} refer was changed individual nowadays; the establishment was conjointly excellent as Arizona Reserves Formula college (1889-1896), Arizona Average Cultivate (1896-1899), Average Civilize of Arizona (1899-1901), and Tempe Average Civilise (1901-1925). The civilise recognised every municipality awarded belief certificates to those who complete the wants. In 1923 the education stopped content swollen college courses and a lot of a screaky polish credentials to the admissions desires. In 1925 the education became the Tempe Land college and offered four-year Man of Teaching degrees similarly as biennial school of thought certificates. In 1929, the assembly sanctioned Bachelor of Arts in employment degrees as recovered, and conjointly the school was renamed the Arizona Utter college. Low the 30-year tenure of chairperson President John Matthews the building was given all-college presidency, six unit noneffervescent presently in use. Matthews unreal Associate in Nursing "tracheophyte field," with several shrubs delivered to the sector, and implemented the planting of Tree Path, presently a juncture of the Tempe field. His heritage is being continuing to this day with the primary field having been professed a nationwide recognized installation. throughout the key Depression, Ralph W. Swetman was used as workplace for a three-year term. tho' entry redoubled by nearly 100 proportion throughout his incumbency due to the impression, some module were terminated and school salaries were cut.
Boston University
Boston University
Boston University is also a charity that was established in 1839. it's associate combination collegian term of term of enlistment of eighteen,165, its setting is urban, and so the grounds size is 100 thirty 5 sections of land. It uses a semester-based scholastic timetable. Bean city University's positioning inside the 2015 unhitch of Best colleges is National Universities, 42. Its educational worth and charges unit of measurement $46,664 (2014-15).
Boston University is one all told the most important free, not-for-profit colleges inside the state. The BU Terriers have over twenty NCAA Division I varsity sports. BU's hockey cluster has won varied NCAA national titles. BU additionally has concerning 5 hundred understudy clubs, running from Ski sport to the Juggling Association. BU created one all told the first study abroad comes, and presently supports over ninety world comes. initial year recruits unit of measurement obliged to live on grounds, and around eighty maximize school understudies live to inform the story the basic Bean city grounds, that lies on the Charles.
Boston University's exceptionally positioned master's level faculty incorporate the varsity of Law, school of Management, school of medication, faculty of Engineering and school of Education. BU's school of medication is that the country's at the beginning joined malignancy analysis and instructing work. BU is likewise the first faculty to open all divisions to female understudies in 1872. Eminent graduated class incorporate Dr. theologizer King, Jr.; performers Julianne Moore and Geena Davis; TV character Bill O'Reilly; radio host Howard Stern; and Tipper Gore, previous husband of V.P.. Another attention-grabbing truth: the BU Bridge is that the most spot inside the U.S. where a plane can fly over associate automobile rolling over a train going over a pontoon, tired the in the meantime.
School mission and unforgettable qualities (as gave by the school):
Seek once learning and grasp potential outcomes at Bean city University.
Whatever your advantage, you may notice varied all the plenty of in our sixteen colleges and universities, still as extraordinarily positioned smart colleges of prescription, law, correspondence, building, and administration. Study at a lower place a staff that comes with newspaper publisher Prize, Nobel prize, and general Foundation ???Genius??? Honor champs. Gracious, did we have a tendency to ar speech our low 13:1 understudy/staff proportion? perhaps you???ll take associate interest in AN extremely zone of study that produces U.S. one all told the world???s driving examination foundations. Actually, BU is that the initial private faculty since 1995 welcome to hitch the celebrated Association of yank Universities. You???ll probably appreciate the persistent, energetic city of Bean city with its abundance of diversion, social, and skilled open doors.
Be that as a result of it might, whereas Bean city is our name, our compass is certainly worldwide. Our 33,000 understudies hail from fifty states and 143 nations. Also, BU takes associate interest in further than four hundred examination, administration, and instruction programs on every ground on the world.
At Bean city University, the conceivable outcomes for action unit of measurement boundless. be a region of our system of graduated class world organisation agency kind, serve, and enhance the world.
New York University 2016
New York University 2016
New York University (NYU) may be a private, ecumenic yank analysis faculty settled in manhattan town. NYU's elementary grounds is found at territory in Lower Manhattan. Established in 1831, NYU is one in every of the foremost important personal charitable foundations of american advanced education.
NYU was chosen to the Association of american Universities in 1950. NYU numbers thirty five honour champs, 3 Abel Prize victors, ten National palm of Science beneficiaries, publisher Prize victors, in over thirty honour champs, four Putnam Competition victors, Russ Prize, Gordon Prize, and monger Prize victors, Turing Award victors, and Emmy, Grammy, and Tony Award champs among its workers and graduated category. NYU likewise has general Associate in Nursingd Guggenheim Fellowship holders and conjointly National Academy of Sciences and National Academy of Engineering components among its over an oversized span of a while graduates and hands.
NYU is sorted out into over twenty colleges, universities, and institutions, noticed in six focuses for the amount of Manhattan and Downtown borough, and conjointly over twelve absolutely completely totally different destinations over the world, with arrangements for any extension. As indicated by the Institute of International Education, NYU sends an excellent larger type of understudies to ascertain abroad than in spite of completely totally different USA faculty or faculty, and in addition the college Board reports immeasurable on-line hunt by universal understudies down "NYU" than for in spite of completely totally different college.
Since the first 2000s, NYU has created new offices on and around its Washington sq. field. The Kimmel Center for University Life was inherent 2003 as a results of the essential house for the college's understudy administrations business locales. It likewise homes the Skirball Center for the topic, the Rosenthal marquee, the Eisner & Lubin area, and in addition the Loeb center. the varsity of Law factory-made Furman Hall in 2004, modification of integrity parts of 2 noteworthy structures into the new front, one in every of that had been possessed by creator King of nice kingdom Allan author.[72]
In 2005, NYU reportable the advancement of another science point on Waverly Place, the primary new NYU science building since the gap of Meyer Hall in 1971.[73] In solar calendar month 2005, NYU open7 arrangements to assemble a 26-story, 190,000-square-foot (18,000 m2) home passageway on twelfth Street. The system lobby, named "Originators Hall", suits provide or take 700 students associated contains Associate in Nursing assembly of varied understudy offices. it's as of presently the tallest building among the East Village.
Colleges Abroad
Tisch faculty of the humanities, Asia was NYU's initial limb grounds abroad. The aftereffect of a corporation between Tisch faculty of the humanities and in addition the Singapore Government, it offered Master of Fine Arts degrees in activity and advanced expressions, sensational composition, film and world media making. The grounds opened in fall 2007 with the attempt to enlist pretty nearly 250 understudies. foretold entrance figures weren't earned to, fund irregularities were declared and President Pari Sara Shirazi was free from her post by NYU in solar calendar month 2011. She on these lines declared her attempt to begin legitimate incidents against NYU declarative wrongful finish and maligning. during a} very letter to the Tisch Asia cluster dated solar calendar month eight, 2012, Dean Virgin mother politico knowledgeable reportable that the grounds would shut once 2014 with action and affirmation of latest understudies suspended with prompt result.
NYU has associate assemblage of outdoor offices used for study abroad comes, alluded to as world tutorial Centers. beginning 2012, NYU works fourteen learned destinations – each degree-allowing exploration faculty grounds and study abroad locales – in continent, Asia and in addition the realm, Australia, Europe, North America, and South America, additionally as pupil scholastic year and summer examine abroad comes in manhattan town, Florence, London, Paris, Prague, Berlin, Accra, Madrid, Shanghai, capital of Argentina, Tel Aviv, Abu Dhabi, Sydney, and Washington, D.c. A standout amongst the foremost giant is that the 57-section of land (230,000 m2) grounds of NYU Florence Villa Lapietra in European nation, gave by the late Sir Harold Acton to NYU in 1994.
In fall 2010, NYU United Arab Emirates's capital (NYUAD) opened as a results of the college's initial abroad "Entrance Campus" with associate inaugural category of one hundred fifty understudies. Not in any respect like NYU's completely totally different study abroad focuses, NYUAD works as an exact liberal expressions faculty among a university, providing complete degree involves understudies conceded squarely to NYUAD. NYUAD initiates understudies from everyplace throughout the world and portrays itself as a results of the "World's Honor College". The principle grounds for NYUAD is at a lower place development on Saadiyat Island and is planned to open in 2014. till then the varsity works from a grounds found in downtown United Arab Emirates's capital. The grounds development and operational expenses unit altogether supported by the United Arab Emirates's capital government.
In 2011, NYU reportable arrangements to open associate alternate entree grounds, manhattan University Shanghai, for the autumn semester of 2013. it utterly was settled to possess around three,000 faculty understudies, the larger an area of whom would be Chinese. it utterly was supported by the Ministry of Education of the People's Republic of China in January 2011. NYU's near helper ar about to be East China ancient University (ECNU). ECNU's leader Yu Lizhong ar about to be the chancellor and assume a true zero.5 in government relations whereas Jeffrey S. Lehman, previous president of Cornell among absolutely completely totally different positions, can operate unhealthy habit chancellor and have "free rein in scholastic illicit relationships".
University Of Duke
University Of Duke
Duke University might even be a private analysis university that is found in Durham, North country of us. it absolutely was supported in 1838 by Methodists and Quakes at intervals this city of Trinity, the varsity rapt to city in 1892. In 1924, James B. Duke established The Duke Endowment and jointly the establishment modified its name to honor his shrivelled father, Washington Duke.
The university is unfold across 8600 acres on 3 contiguous campuses in Durham collectively} as in marine geographic point in Beaufort together. In 2012, Duke analysis expenditure and it absolutely was $1.01 billion that is that the seventh largest at intervals the state.
Duke was started in 1938 as a personal subscription school in Randolph Country. In 1841, organized by Union Institute Society Brown’s construction became Union Institute Academy once North country issued a charter. sweetsop in 1924, Washington Duke’s son James B. Duke with a $40 million fund established the Duke Endowment and jointly the aim of the fund was to be distributed to orphanages, Protestant denomination, hospitals and 4 colleges still as Trinity faculty. The president of Trinity, William Preston Few emphasize that the establishment be renamed as university to honor the family’s generosity and build it utterly wholly completely different from the choice colleges and Universities.
Duke University is cover 8170 acres on 3 contiguous fieldes in Durham and Dukes main field is cover fifty five acres. of late Duke has wide developed and jointly the Duke’s growth and tutorial focus have contributed to continuity the schools name as a look powerhouse and tutorial. Duke library stands in high 10 library system. In 2005, university established a partnership with the national university of Singapore to develop a joint medical program and improve the standard education.
Duke University has served each graduate and student students with ten utterly wholly completely different colleges and colleges. university runs to a lower place semester based mostly wholly educational calendar. It offers a singular education system along a comprehensive teaching and analysis university.

Edison State Thomas College
Edison State Thomas College,
Thomas Edison State school school is associate open foundation of advanced education placed in capital school of recent Jersey, New Jersey. one amongst New Jersey's eleven state funded colleges schools and universities, artificer State school offers degrees at the scholar and graduate level.
Thomas Edison State school school was supported by the New Jersey Board of Education in Dec 1971 at school, and secured on vacation, 1972. the varsity was named out of appreciation for Thomas Alva artificer, the designer organisation exaggerated complete learning of assorted branches of information through sped up toward oneself learning school.
Thomas Edison State school school enraptured into downtown capital of recent Jersey school in Sept 1979, school throughout associate era once completely utterly utterly completely different organizations were going urban communities.
The 7-year-old school, that had place in 3 years at the Forrestal Center outside of Princeton, school needed house for development. within the within the in the meantime, the state was finding out academic degree correct person for the aim of interest Kelsey Building found contiguous New Jersey's State House difficult then the State House architecturally vital house, whereas city tried to shield the building's noteworthy use as a school.
Behind the Kelsey Building and Townhouses is Petty's Run (now being unearthed as a district of a state-subsidized venture), that streams to the watercourse. inside the center 1730s, Petty's Run burning a plating plant, school and by midcentury drove a steel heater.
Implicit 1911 by A. Henry Cooper Kelsey, the Kelsey Building is one in every of the structural historic points of city. It housed three utterly utterly completely different schools before serving as a results of the central station for discoverer State school.
The building variety of the Kelsey Building is meant to stay with a metropolis royal residence, the Palazzo Strozzi. the basic structure was created public in 1910 by wide acclaimed draftsman designer (architect of latest House of House of folk City's man of affairs Building). In 2011, the Kelsey Building praised its one hundredth day of remembrance.
The school's grounds of school has extended throughout the years and presently incorporates the Kelsey Building, the Townhouse difficult , the middle for Learning and Technology, and Kuser Mansion, all on West State Street on West State Street, then the tutorial Center and Canal Banks Building on West Hanover Street.
Thomas Edison State school school has been dynamic in restoring some notable structures of downtown capital of recent Jersey, safeguarding the quintessence of the city's unbelievable past and revitalis financial improvement.
Thursday, 14 April 2016
Life Insurance
Exactly what is Everyday life coverage Insurance arrangements?
An extra security approaches strategy can be an arrangement by having a protection supplier. In return for great installments, the protection supplier gives a singular amount installment, regularly called a demise advantage, to recipients upon the guaranteed's Loss of life.
Usually, everyday living protection arrangement approaches is settled on with respect to the wishes and alternatives around the proprietor. Expression lifestyle scope strategy ordinarily conveys wellbeing for your perceived stretch out of time, however durable protection arrangement, which join full and basic every day living, gives life time assurance. It is significant to note that Lack of lifetime Rewards from each sort of presence scope are for the most part profit charge Totally completely free.
You can discover a few sorts of every day living protection arrangement approach. Huge numbers of the parcels extra ordinary assortments are discussed underneath.
Express lifestyle scope
Expression lifetime protection arrangement get ready is intended to offer cash security for a chose measure of time, similar to ten or 20 years. With customary expression scope, the top brilliant installment general stays precisely the same for the scope time span you settle on. After that period, techniques could offer you progressing security, Usually inside an altogether more significant top quality installment stage. Expression way of life protection arrangement is Usually reasonable than endless lifetime protection strategy scope.
Needs it might likewise get together with: Expression presence insurance continues can be utilized to exchange drop plausible money all through Running numerous years. This may give you a dependability Internet inside of your recipients and may likewise guarantee the wife or spouse and youngsters' budgetary techniques will Yet be met—points like contributing off a home loan advance individual credit, attempting to keep a firm working, and being compelled to buy college.
It is imperative to note that, Although expression presence might just be made utilization of to change lacking probability benefits, presence protection approaches rules Pros are paid out at 1 time within a single amount, not in standard installments like paychecks.
Ordinary presence protection approach
Basic presence protection approaches project is usually a type of long-Long enduring every day living protection scope intended to offer ordinary living time security. Dislike entire presence scope, incessant way of life protection strategy security protection scope rules are utilitarian and may empower you to hoist or brought down your top quality installment or scope amounts by means of your lifetime time. Also, resulting from its life traverse safeguard, regular life time ordinarily has more prominent superb installments than expression.
Might want it can fulfill: Typical lifetime protection arrangement methodology is most every now and again utilized as A part of an adaptable bequest arranging framework to help keep up success to get exchanged to recipients. One more regular use is durable benefits substitution, where the need expands more remote than Functioning different decades. Some regular presence protection arrangement assurance arrangements outlines focus on giving both of those Loss of ordinary living prize insurance and building assets advantage Although some Middle on giving affirmed Demise benefit scope.
Complete Life style scope
Complete life time scope is for the most part a sort of enduring Way of extra security arrangement planned to give regular living traverse safeguard. A consequence of the life traverse insurance interim, complete life traverse much of the time has bigger brilliant installments than expression day by day life. Approach best great quality installments are frequently settled, and, in spite of term, entire day by day living has a hard dollars advantage, which capacities remaining a value funds part and may collect duty conceded tailing some time.
Requests it will get together with: Total presence can be utilized being a bequest booking Computer programming to help you keep up the riches you propose to exchange inside of your recipients.
An extra security approaches strategy can be an arrangement by having a protection supplier. In return for great installments, the protection supplier gives a singular amount installment, regularly called a demise advantage, to recipients upon the guaranteed's Loss of life.
Usually, everyday living protection arrangement approaches is settled on with respect to the wishes and alternatives around the proprietor. Expression lifestyle scope strategy ordinarily conveys wellbeing for your perceived stretch out of time, however durable protection arrangement, which join full and basic every day living, gives life time assurance. It is significant to note that Lack of lifetime Rewards from each sort of presence scope are for the most part profit charge Totally completely free.
You can discover a few sorts of every day living protection arrangement approach. Huge numbers of the parcels extra ordinary assortments are discussed underneath.
Express lifestyle scope
Expression lifetime protection arrangement get ready is intended to offer cash security for a chose measure of time, similar to ten or 20 years. With customary expression scope, the top brilliant installment general stays precisely the same for the scope time span you settle on. After that period, techniques could offer you progressing security, Usually inside an altogether more significant top quality installment stage. Expression way of life protection arrangement is Usually reasonable than endless lifetime protection strategy scope.
Needs it might likewise get together with: Expression presence insurance continues can be utilized to exchange drop plausible money all through Running numerous years. This may give you a dependability Internet inside of your recipients and may likewise guarantee the wife or spouse and youngsters' budgetary techniques will Yet be met—points like contributing off a home loan advance individual credit, attempting to keep a firm working, and being compelled to buy college.
It is imperative to note that, Although expression presence might just be made utilization of to change lacking probability benefits, presence protection approaches rules Pros are paid out at 1 time within a single amount, not in standard installments like paychecks.
Ordinary presence protection approach
Basic presence protection approaches project is usually a type of long-Long enduring every day living protection scope intended to offer ordinary living time security. Dislike entire presence scope, incessant way of life protection strategy security protection scope rules are utilitarian and may empower you to hoist or brought down your top quality installment or scope amounts by means of your lifetime time. Also, resulting from its life traverse safeguard, regular life time ordinarily has more prominent superb installments than expression.
Might want it can fulfill: Typical lifetime protection arrangement methodology is most every now and again utilized as A part of an adaptable bequest arranging framework to help keep up success to get exchanged to recipients. One more regular use is durable benefits substitution, where the need expands more remote than Functioning different decades. Some regular presence protection arrangement assurance arrangements outlines focus on giving both of those Loss of ordinary living prize insurance and building assets advantage Although some Middle on giving affirmed Demise benefit scope.
Complete Life style scope
Complete life time scope is for the most part a sort of enduring Way of extra security arrangement planned to give regular living traverse safeguard. A consequence of the life traverse insurance interim, complete life traverse much of the time has bigger brilliant installments than expression day by day life. Approach best great quality installments are frequently settled, and, in spite of term, entire day by day living has a hard dollars advantage, which capacities remaining a value funds part and may collect duty conceded tailing some time.
Requests it will get together with: Total presence can be utilized being a bequest booking Computer programming to help you keep up the riches you propose to exchange inside of your recipients.
Car Insurance
Which protections Are you keen on for your own auto from the US?
One of a few all the more amazing inconveniences about auto or truck or truck scope is normally that it isn't crucial in a couple states, e.g. Alabama, Iowa, Mississippi, New Hampshire, Pennsylvania, et cetera. These states have 'fiscal responsibility' rules, requesting you to post a bond, income store or authorized self-protection scope framework Together with the show to oversee harms in the occasion you're included with an impact.
Drivers in states wherever mechanized vehicle protection arrangement is Obligatory ought to supply proof of scope at time of auto enlistment and can be needed it inside their autos constantly. Obtaining collision protection strategy approaches is a considerable measure harder in the US than in almost all of different countries and will fuse the ensuing sorts of shelter:
Lawful responsibility Insurance arrangements assurance
Approved obligation protection arrangement approach characteristics substantial own damage risk, i.e. mishaps you give heading off to some other individual, and property hurt legitimate responsibility, which comes to fruition being harm actuated to another specific individual's home, alongside different autos. For a few states, legitimate obligation engine protection arrangement is Obligatory, While it doesn't consequently incorporate things, for example, boundless lawful obligation. Most states have regulations environment slightest amount levels for legitimate obligation protection security, yet these more often than not are woefully deficient. "Commitment" limits are set up by Each individual point out for Dying or wounds to no short of what one specific individual or female, Demise or harm to more than one individual, and property devastation in irregular of a specific measure of money.
In the occasion the approved obligation taking after a crash surpasses your number of protection arrangement approach and you have unmistakable property, These are usual to fork out harms, if fundamental, until in the long run sooner or later you're bankrupt.
Claims usually keep running into a unimaginable measure of bucks and prosecution lawful experts are among the wealthiest legal vultures. Legitimate obligation limitations can commonly be lifted altogether for only a humble substantially more premium. To ensure all alone against cosmic harms, You should simply get out a private legitimate obligation umbrella framework which supports your lawful responsibility limits into a level that locations Just about any occasion.
No-flaw Insurance arrangement strategies
All-inside and out a quarter century and in like manner the District of Columbia have some sort of private Harm Safety (PIP) or no-issue protection arrangement program law. This implies just on the off chance that you're connected to an impact, it is achievable to assert (about particular limits) from a have insurance agency for private decimation managed in an exceptionally disaster, in lieu of look at court docket and Check out to confirm that One more event was at issue. In states and not utilizing a no-flaw enactment, the sufferer information documents a proclaim contrasted with the option driver, regardless of whether or not the main impetus is guaranteed, that is paid out gave that it would be demonstrated that the other driver was responsible for that episode. Do you need to weren't capable and might avow it by method for witnesses or perhaps a police arraignment of the other driver, make certain your protection scope administration supplier is taught, or you may kill your noteworthy driver (no-sureties) marked down.
The position important, PIP protection scope arrangement is by and large Obligatory and addresses real mischief just set up of auto devastation. All those safeguarded not as much as PIP security get brief installment from their own one of a kind private scope administration supplier, yet their satisfactory to sue for ordinary harms is by and large constrained. Drivers guaranteed in states with risk approved rules unquestionably should be specific that their scope strategy addresses them when going in states without the need of obtaining issue laws. Most protection approaches organizations rapidly extend their proposals to join states without-flaw limitations.
PIP go over could repeat protection arrangements framework outfitted by general wellbeing or inadequacy assurance methods. PIP protection scope supplies Gains for Qualified clinical and facility uses (the degree depends upon your security), Additionally deficient with regards to wages or income continuation, substitute/basic organizations, survivors' decrease/Dying advantage, and burial service costs. Missing wages and substitution answers are payable around a biggest amount for max terms.
PIP Experienced proficient medicinal Charges Insurance plan
It's conceivable to obtain Personal Injury Protection go around for prosperity pertinent costs as it were. PIP human services charges pays the Qualified wellbeing related costs of any one injured when going in your auto, it doesn't make a difference issue. Contingent upon your assurance, it could likewise spend your social insurance charges after you or your family are going in Several other specific individual's auto, or from the capacity you're strike by an auto or truck While walking. Dislike other All round health pointers, the clinical installments An A part of a car scope pays for all expert restorative rates acquired, without overabundances (deductibles) or co-installments (frequently called 'first greenback guard').
On the off chance that you have generous All round wellbeing protection arrangement security, you won't covet this insurance, Despite the way that What's more, it handles any one going inside your engine vehicle. In beyond any doubt states, you can pick your PIP wellbeing protection strategies methodology supplier, who'll be some person notwithstanding your vehicle insurance agency, e.g. your manager's wellbeing protection strategies supplier.
Calamitous Expert restorative Expenses Coverage scope
Some protection arrangements arrangement companies give you disastrous wellbeing care expenses manage, guarding you from anomalous more prominent doctor's visit expenses. Regardless of whether you have this kind of protection arrangement framework is chosen by the degree in your wellbeing protection approaches. In the event that It can be gained confinements, you're urged to get calamitous social insurance bills go over.
Uninsured Motorist Insurance arrangement protection strategies
To shield without anyone else's input contrary to episodes with uninsured drivers and strike-and-run setbacks (regardless of regardless of if driving or likely for strolls), you should have uninsured driver protection arrangement. Uninsured driver proposals are truly sanctioned in a few states, requesting protection assurance partnerships to incorporate of their crucial scope spread from hurt by virtue of drivers who aren't safeguarded. Uninsured driver incorporate things like will probably be identical over the base fiscal commitment limits demonstrated by a point out and it is Compulsory in a couple states. On the off chance that you have impact scope, you generally don't require uninsured driver protection approaches scope.
In a significant number of states, the punishments for driving without scope are derisory, and there may be no punishment in any respect Until in the end you will have an impact. On the other hand, after the unimportant cash punishments are when put next with the frequently critical protection arrangements costs, it's barely constantly amazing that there are different uninsured drivers. When you have an incident including An unmistakable engine vehicle, the chance with the main thrust staying uninsured are truly essential in a few towns, so it's important to figure the financial repercussions of a mischance including a uninsured driver.
Underneath guaranteed Motorist Insurance arrangement scope
This is similar to uninsured driver handle and handles you when Yet one more driver is at risk, yet has lacking scope to adapt to the occurrences or harm to living arrangement (Regardless that, on the off chance that he has enough property, you may However sue him).
Impact Insurance arrangement scope
Impact secure is for harmed as a result of you to your own special individual engine vehicle or truck, paying little heed to who was liable for that pulverization. Crash monitor often has an excess (deductible); the upper the overflow, the reduce your high caliber. Regardless of whether it's required (or insightful) to acquire crash shield normally relies on upon the value of one's car. Impact and finish incorporate for the most part are needed by an auto individual credit Or possibly a renting Firm. With crash protection arrangements security, you more often than not don't need uninsured driver protection scope.
Top to bottom Insurance arrangements arrangement
Top to bottom manage is for loss of the auto coming about because of hearth, robbery, vandalism, impacts with creatures, storms, surges, riots, blasts, seismic tremors, slipping items, Additionally unintentional glass breakage, e.g. from a stone hurled by Yet another auto. It doesn't handle you towards incidents including different autos or articles, for which you bring for impact go over. Complete manage more often than not has a lessen great than crash tackle.
Different Included Protection
This safeguards you against a scope of costs, for occasion a rental vehicle Once your car is getting set, and towing and work In the bash of an impact or breakdown (likewise supplied via auto golf hardware). On the off chance that you frequently utilize leased cars and vehicles, you may have an interest within a scope that incorporates impact pulverization waiver (CDW) for leased engine vehicles, which may likewise be sans given by a charge card.
Rates
Protection strategies scope rates are excellent, perceptibly for men underneath 27 and the individuals who dwell in inside towns, precisely where driving infirmities have a tendency to be significantly more unsafe and anyplace auto burglary is endemic. A great deal of variables affect the cost of auto scope, alongside.
Saturday, 9 April 2016
Kent State University History
Kent State University could be an open examination school facilitated in 1910. The University of the main foundation of an accomplice get arranged school, put in Kent, Ohio, US.
One of Ohio's most prominent school, offers a spread of degree exercises in extra than 280 collegian degree assignments, and degree endeavors and degree study programs. Understudies will take the degree stretches out as per the centers of each through the schools that square quantify totally possible, moreover the administrators of Technology, The joined examiner Richard Rodgers and Krauthead Silver-man school of Fashion style, Hugh A Glaser school of Music, staff of system and Environmental style, and workforce obviously of activity and Pharmacy.
In spite of the course that at this school programs sensible majors fields of concentrate, despite its a favored structure at this school is Fashion style, prenursing and flying development (through the administrators of Technology). By then, other than as flight illuminating structure, its prime level setup style majors that gives programs in Florence, port and New York town and has Affiliations in Paris and London.
With a zone of field around basically 1000 zones of zone, the school offers a free bicycle offering system understudies level mates allows An in a general sense open and routinely neighborly in context of get round the sprawling,
Particular accomplishments and prizes that are proficient by this school, one among that is inside the field of redirection. wherever this school squad, the living being "Impact" the Aquila Chrysostom, have won either the general season or competition title in fourteen out of the fifteen seasons. Moreover for school kids WHO need to add to their capacities, and show accomplishments inside the field of amusements, will be a touch of the school redirections packs. Since, this school distractions social attempts fight in NCAA Division I Mid-American Conference.
Primary Education Consists of Six to Eight years
Essential (or basic) instruction comprises of the initial five to seven years of formal, organized training. When all is said in done, essential instruction comprises of six to eight years of educating beginning at five years old or six, despite the fact that this shifts between, and at times inside of, nations. Comprehensively, around 89% of youngsters matured six to twelve are selected in essential training, and this extent is rising.
Under the Education For All projects driven by UNESCO, most nations have focused on accomplishing general enlistment in essential instruction by 2015, and in numerous nations, it is necessary. The division in the middle of essential and optional instruction is to some degree subjective, however it for the most part happens at around eleven or twelve years old. Some instruction frameworks have separate center schools, with the move to the last phase of optional training occurring at around the age of fourteen. Schools that give essential instruction, are for the most part alluded to as grade schools or primary schools. Grade schools are regularly subdivided into newborn child schools and junior school.
In India, for instance, mandatory training ranges more than twelve years, with eight years of rudimentary instruction, five years of essential educating and three years of upper essential educating. Different states in the republic of India give 12 years of necessary school instruction taking into account a national educational modules structure planned by the National Council of Educational Research and Training.
Secondary Education Comprises the Formal Education
In most contemporary instructive frameworks of the world, optional training involves the formal instruction that happens amid puberty. It is described by move from the commonly mandatory, thorough essential training for minors, to the discretionary, particular tertiary, "postsecondary", or "higher" instruction (e.g. college, professional school) for grown-ups. Contingent upon the framework, schools for this period, or an a portion of it, might be called optional or secondary schools, exercise rooms, lyceums, center schools, universities, or professional schools.
The definite significance of any of these terms changes starting with one framework then onto the next. The definite limit in the middle of essential and auxiliary training likewise differs from nation to nation and even inside of them, however is by and large around the seventh to the tenth year of educating. Auxiliary instruction happens for the most part amid the adolescent years.
In the United States, Canada and Australia, essential and auxiliary training together are here and there alluded to as K-12 instruction, and in New Zealand Year 1–13 is utilized. The reason for auxiliary instruction can be to give basic learning, to get ready for advanced education, or to prepare straightforwardly in a calling.
Optional training in the United States did not develop until 1910, with the ascent of expansive enterprises and propelling innovation in manufacturing plants, which required gifted specialists. Keeping in mind the end goal to take care of this new occupation demand, secondary schools were made, with an educational programs concentrated on useful employment aptitudes that would better get ready understudies for salaried or gifted hands on work. This demonstrated helpful for both bosses and representatives, since the enhanced human capital brought down expenses for the business, while talented workers got a higher wages.
Optional instruction has a more drawn out history in Europe, where linguistic use schools or institutes date from as right on time as the sixteenth century, as state funded schools, expense paying schools, or magnanimous instructive establishments, which themselves date much further back.
Junior colleges offer another alternative at this transitional phase of instruction. They give nonresidential junior school courses to individuals living in a specific territory.
Training and innovation in creating nations
Innovation assumes an inexorably noteworthy part in enhancing access to instruction for individuals living in ruined territories and creating nations. Foundations like One Laptop for every Child are devoted to giving bases through which the burdened may get to instructive materials.
The OLPC establishment, a gathering out of MIT Media Lab and upheld by a few noteworthy partnerships, has an expressed mission to build up a $100 portable PC for conveying instructive programming. The portable workstations were generally accessible starting 2008. They are sold at expense or given away in light of gifts.
In Africa, the New Partnership for Africa's Development (NEPAD) has propelled an "e-school system" to give every one of the 600,000 essential and secondary schools with PC hardware, learning materials and web access inside of 10 years.[38] An International Development Agency venture called nabuur.com,[39] began with the backing of previous American President Bill Clinton, utilizes the Internet to permit co-operation by people on issues of social improvement.
India is creating advances that will sidestep land-based phone and Internet base to convey separation adapting specifically to its understudies. In 2004, the Indian Space Research Organization propelled EDUSAT, an interchanges satellite giving access to instructive materials that can achieve a greater amount of the nation's populace at a significantly decreased expense.
Private versus open financing in creating nations
Research into LCPS (minimal effort tuition based schools) found that more than 5 years to July 2013, wrangle around LCPSs to accomplishing Education for All (EFA) targets was enraptured and discovering developing scope in universal arrangement.
The polarization was because of debate around whether the schools are moderate for poor people, achieve hindered bunches, give quality training, bolster or undermine equity, and are fiscally practical. The report analyzed the fundamental difficulties experienced by improvement associations which bolster LCPSs.
Studies propose these sorts of schools are extending crosswise over Africa and Asia. This achievement is ascribed to abundance request. These reviews discovered sympathy toward:
Value: This worry is generally found in the writing, proposing the development in ease private educating might be fueling or propagating effectively existing imbalances in creating nations, in the middle of urban and rustic populaces, lower-and higher-salary families, and in the middle of young ladies and young men. The report discoveries recommend that young ladies might be underrepresented and that LCPS are achieving low-wage families in littler numbers than higher-pay families.
Quality and instructive results: It is hard to make speculations regarding the nature of tuition based schools.
While most accomplish preferred results over government partners, even after their social foundation is considered, a few studies locate the inverse. Quality as far as levels of educator nonattendance, showing action, and understudy to instructor proportions in a few nations are preferred in LCPSs over in government schools.
Decision and moderateness for poor people: Parents can pick non-public schools in light of impression of better-quality educating and offices, and an English dialect guideline inclination. All things considered, the idea of "decision" does not have any significant bearing in all connections, or to all gatherings in the public eye, somewhat in view of constrained reasonableness (which prohibits the majority of the poorest) and different types of avoidance, identified with standing or societal position.
Taken a toll adequacy and money related
manageability: There is proof that non-public schools work requiring little to no effort by keeping educator compensations low, and their money related circumstance might be shaky where they are dependent on charges from low-wage family units.
The report demonstrated a few instances of effective voucher and appropriation programs; assessments of universal backing to the division are not widespread.[41] Addressing administrative inadequacy is a key test. Developing methodologies stretch the significance of comprehension the political economy of the business sector for LCPS, particularly how connections of force and responsibility between clients, government, and private suppliers can create better instruction results for poor people.
Instructive hypothesis
Singular purposes for seeking after instruction can differ. Understanding the objectives and method for instructive socialization procedures may likewise contrast as per the sociological worldview utilized.
The early years of educating by and large center around creating essential interpersonal correspondence and proficiency abilities. This establishes a framework for more unpredictable aptitudes and subjects. Later, instruction more often than not moves in the direction of picking up the learning and abilities expected to make esteem and build up a livelihood.
Individuals additionally seek after instruction for its own particular purpose to fulfill intrinsic interest, out of enthusiasm for a particular subject or aptitude, or for general individual development.Instruction is frequently comprehended as a method for overcoming handicaps, accomplishing more prominent balance, and securing riches and status for all (Sargent 1994). Instruction is additionally frequently seen as a spot where kids can create as indicated by their extraordinary needs and potentials,with the reason for building up each person to their maximum capacity.
Some claim that there is training disparity since youngsters did not surpass the instruction of their parents.This instruction imbalance is then connected with pay imbalance.
Albeit basic intuition is an objective of training, feedback and fault are regularly the unintended by results of our current instructive procedure. Understudies frequently accuse their instructors and their course readings, notwithstanding the accessibility of libraries and the web. When somebody tries to enhance training, the instructive foundation itself every so often gives the individual feedback instead of gratitude. Better by results of an instructive framework would be appreciation and determination.
Created nations have individuals with more assets (lodging, nourishment, transportation, water and sewage treatment, doctor's facilities, medicinal services, libraries, books, media, schools, the web, training, and so on.) than the majority of the world's populace.
One just needs to see through travel or the media what number of individuals in the undeveloped nations live to sense this. Be that as it may, one can likewise utilize financial information to increase some understanding into this. Yet feedback and fault are basic among individuals in the created nations.
Appreciation for every one of these assets and the determination to create oneself would be more beneficial than feedback and accuse in light of the fact that the assets are promptly accessible and on the grounds that, in the event that you accuse others, there is no requirement for you to accomplish something other than what's expected tomorrow or for you to change and make strides. Where there is a will, there is a way.
Individuals in created nations have the will and the best approach to do numerous things that they need to do. They some of the time require more determination and will to enhance and to teach themselves with the assets that are bounteously accessible. They once in a while require more appreciation for the assets they have, including their educators and their course readings. The whole web is likewise accessible to supplement these instructors and course readings.
Friday, 8 April 2016
Study in Latin America
Vibrant cultures, incredible natural landscapes, relatively low costs, and a growing number of internationally ranked universities: all of this makes study in Latin America a highly attractive option.
Stretching from the Mexico-US border to the southern tip of Argentina, the Latin American region is as varied as it is vast. The top universities in Latin America are spread throughout the region, with particularly strong offerings from the higher education systems of Brazil, Chile, Mexico, Colombia, Argentina and Peru. A total of 20 countries feature in the latest QS University Rankings: Latin America.
Explore the rich possibilities of study in Latin America with our student-focused country guides, listed below.
Planning to study in Europe
Planning to study in Europe? Get started here...
With a long history of pioneering higher education, Europe is home to many of the world’s oldest and most prestigious universities – and many of the most exciting and attractive student cities.
European countries, and their universities, are of course all very different – in terms of language, lifestyle and living costs. However, under the Bologna Process, European universities are working to standardize degree systems. For EU students, choosing to study in Europe outside your home country should be relatively straightforward, with tuition fees charged at local rates and no visa requirements.
Click on the links below to find out more about studying in a range of European countries, including details of top universities, student cities, costs, visas, applications and more.
TOP UNIVERSITIES Course Guides Natural Sciences Degrees
Life Sciences & Medical Degrees
Looking at living things in great detail, life sciences and medical degrees cover some of the most challenging subjects out there. They are also some of the most exciting and rewarding, with breakthroughs occuring every day.
And for those looking to make a genuinely positive contribution to the world, there can be few better (or more prestigious) options than medical degrees! Want to know more? Then read our life sciences and medical degree guides.
ENGenious Wins Gold
The 2015 issue of ENGenious has won a gold award from the Council for Advancement and Support of Education (CASE) District VII in the Awards of Excellence category of Annual Magazines. The award is given by the CASE District VII Board of Directors and the Awards of Excellence Committee to "superior magazines published once a year." First published in 2001, ENGenious is a publication for alumni and friends of the Caltech Division of Engineering and Applied Science (EAS). The goal of the publication is to highlight the contributions of the EAS faculty, students, and alumni in research, education, and industry. [ENGenious]
National Security Science and Engineering Faculty
National Security Science and Engineering Faculty, Professor of Applied and Computational Mathematics, has been chosen as a 2016 class of National Security Science and Engineering Faculty Fellow. The program awards grants to outstanding scientists and engineers at U.S. universities to conduct long-term, unclassified, basic research of strategic importance to the Defense Department. Professor Bruno will conduct research in the area of Applied Math/Electromagnetism. [U.S. Department of Defense Press Release]
Course Descriptions
ACM 11. Introduction to Matlab and Mathematica. 6 units (2-2-2); third term. Prerequisites: Ma 1 abc. CS 1 or prior programming experience recommended. Matlab: basic syntax and development environment; debugging; help interface; basic linear algebra; visualization and graphical output; control flow; vectorization; scripts, and functions; file i/o; arrays, structures, and strings; numerical analysis (topics may include curve fitting, interpolation, differentiation, integration, optimization, solving nonlinear equations, fast Fourier transform, and ODE solvers); and advanced topics (may include writing fast code, parallelization, object-oriented features). Mathematica: basic syntax and the notebook interface, calculus and linear algebra operations, numerical and symbolic solution of algebraic and differential equations, manipulation of lists and expressions, Mathematica programming (rule-based, functional, and procedural) and debugging, plotting, and visualization. The course will also emphasize good programming habits and choosing the appropriate language/software for a given scientific task. Instructors: Staff.
ACM 95/100 ab. Introductory Methods of Applied Mathematics for the Physical Sciences. 12 units (4-0-8); second, third terms. Prerequisites: Ma 1 abc, Ma 2 or equivalents. Complex analysis: analyticity, Laurent series, contour integration, residue calculus. Ordinary differential equations: linear initial value problems, linear boundary value problems, Sturm-Liouville theory, eigenfunction expansions, transform methods, Green’s functions. Linear partial differential equations: heat equation, separation of variables, Laplace equation, transform methods, wave equation, method of characteristics, Green’s functions. Instructors: Meiron, Pierce.
ACM 101 ab. Methods of Applied Mathematics. 12 units (4-0-8); first, second, terms. Prerequisites: Math 2/102 and ACM 95ab. First term: brief review of the elements of complex analysis and complex-variable methods. Asymptotic expansions, asymptotic evaluation of integrals (Laplace method, stationary phase, steepest descents), perturbation methods, WKB theory, boundary-layer theory, matched asymptotic expansions with first-order and high-order matching. Method of multiple scales for oscillatory systems. Second term: applied spectral theory, special functions, Hilbert spaces and linear operators, generalized eigenfunction expansions, convergence theory. Transform methods, distributions, Fourier Transform and Sobolev Spaces. Eigensystems and spectral theory for self-adjoint second order operators with variable coefficients in n-dimensional domains. Integral equations, Fredholm theorem, application to Laplace and Maxwell’s equations, harmonicity at infinity, Kelvin transform, conditions of radiation at infinity. Instructor: Bruno.
CMS/ACM 104. Linear Algebra and Applied Operator Theory. 12 units (3-0-9); first term. Prerequisites: Undergraduate prerequistes: Ma 1 abc (analytic track), Ma 2, and ACM 95 ab; or instructor’s permission. This course introduces the theory and applications of linear algebra and linear analysis. Lectures and homework will require the ability to understand and produce mathematical proofs. Theoretical topics may include topology of metric spaces, structure of Banach and Hilbert spaces, examples of normed spaces, duality, structure of linear operators, spectral theory, functional calculus for linear operators, and calculus in Banach spaces. Applications will be drawn from signal processing, numerical analysis, optimization, approximation, differential equations, control, and other areas. Emphasis will be placed on geometry and convexity. Instructors: Tropp.
ACM 105. Applied Real and Functional Analysis. 9 units (3-0-6); second term. Prerequisite: ACM 100 ab or instructor’s permission. Lebesgue integral on the line, general measure and integration theory; Lebesgue integral in n-dimensions, convergence theorems, Fubini, Tonelli, and the transformation theorem; normed vector spaces, completeness, Banach spaces, Hilbert spaces; dual spaces, Hahn-Banach theorem, Riesz-Frechet theorem, weak convergence and weak solvability theory of boundary value problems; linear operators, existence of the adjoint. Self-adjoint operators, polar decomposition, positive operators, unitary operators; dense subspaces and approximation, the Baire, Banach-Steinhaus, open mapping and closed graph theorems with applications to differential and integral equations; spectral theory of compact operators; LP spaces, convolution; Fourier transform, Fourier series; Sobolev spaces with application to PDEs, the convolution theorem, Friedrich’s mollifiers. Instructor: Tropp.
ACM 106 ab. Introductory Methods of Computational Mathematics. 12 units (3-0-9); second, third terms. Prerequisites: Ma 1 abc, Ma 2, Ma 3, ACM 11, ACM 95/100 ab or equivalent. The sequence covers the introductory methods in both theory and implementation of numerical linear algebra, approximation theory, ordinary differential equations, and partial differential equations. The linear algebra parts covers basic methods such as direct and iterative solution of large linear systems, including LU decomposition, splitting method (Jacobi iteration, Gauss-Seidel iteration); eigenvalue and vector computations including the power method, QR iteration and Lanczos iteration; nonlinear algebraic solvers. The approximation theory includes data fitting; interpolation using Fourier transform, orthogonal polynomials and splines; least square method, and numerical quadrature. The ODE parts include initial and boundary value problems. The PDE parts include finite difference and finite element for elliptic/parabolic/hyperbolic equation. Stability analysis will be covered with numerical PDE. Programming is a significant part of the course. Instructor: Hou.
CMS/ACM 113. Mathematical Optimization. 9 units (3-0-6); first term. Prerequisites: ACM 95/100 ab, ACM 11, or instructor’s permission. Corequisite: It is suggested that students take CMS/ACM 104 concurrently. This class studies mathematical optimization from the viewpoint of convexity. Topics covered include duality and representation of convex sets; linear and semidefinite programming; connections to discrete, network, and robust optimization; relaxation methods for intractable problems; as well as applications to problems arising in graphs and networks, information theory, control, signal processing, and other engineering disciplines. Instructors: Chandrasekaran.
ACM/CS 114 ab. Parallel Algorithms for Scientific Applications. 9 units (3-0-6); second, third term. Prerequisites: ACM 11, 106 or equivalent. Introduction to parallel program design for numerically intensive scientific applications. Parallel programming methods; distributed-memory model with message passing using the message passing interface; shared-memory model with threads using open MP, CUDA; object-based models using a problem-solving environment with parallel objects. Parallel numerical algorithms: numerical methods for linear algebraic systems, such as LU decomposition, QR method, CG solvers; parallel implementations of numerical methods for PDEs, including finite-difference, finite-element; particle-based simulations. Performance measurement, scaling and parallel efficiency, load balancing strategies. Not offered 2015–16.
CMS/ACM 116. Introduction to Stochastic Processes and Modeling. 9 units (3-0-6); first term. Prerequisites: Ma 2, Ma 3 or instructor’s permission. Introduction to fundamental ideas and techniques of stochastic analysis and modeling. Random variables, expectation and conditional expectation, joint distributions, covariance, moment generating function, central limit theorem, weak and strong laws of large numbers, discrete time stochastic processes, stationarity, power spectral densities and the Wiener-Khinchine theorem, Gaussian processes, Poisson processes, Brownian motion. The course develops applications in selected areas such as signal processing (Wiener filter), information theory, genetics, queuing and waiting line theory, and finance. Instructors: Owhadi.
AM/ACM 127. Calculus of Variations. 9 units (3-0-6); third term. Prerequisites: ACM 95/100. First and second variations; Euler-Lagrange equation; Hamiltonian formalism; action principle; Hamilton-Jacobi theory; stability; local and global minima; direct methods and relaxation; isoperimetric inequality; asymptotic methods and gamma convergence; selected applications to mechanics, materials science, control theory and numerical methods. Not offered 2015–16.
Ma/ACM 142. Ordinary and Partial Differential Equations. 9 units (3-0-6); second term. Prerequisite: Ma 108; Ma 109 is desirable. The mathematical theory of ordinary and partial differential equations, including a discussion of elliptic regularity, maximal principles, solubility of equations. The method of characteristics. Instructor: Frank.
Ma/ACM 144 ab. Probability. 9 units (3-0-6); first, second terms. Prerequisites: For 144a, Ma 108b is strongly recommended; for 144b, 108b and 144a are prerequisite. Overview of measure theory. Random walks and the Strong law of large numbers via the theory of martingales and Markov chains. Characteristic functions and the central limit theorem. Poisson process and Brownian motion. Topics in statistics. Instructors: Makarov, Fathizadeh.
ACM/EE 170. Mathematics of Signal Processing. 12 units (3-0-9); third term. Prerequisites: CMS/ACM 104, CMS/ACM 113, and CMS/ACM 116; or instructor’s permission. This course covers classical and modern approaches to problems in signal processing. Problems may include denoising, deconvolution, spectral estimation, direction-of-arrival estimation, array processing, independent component analysis, system identification, filter design, and transform coding. Methods rely heavily on linear algebra, convex optimization, and stochastic modeling. In particular, the class will cover techniques based on least-squares and on sparse modeling. Throughout the course, a computational viewpoint will be emphasized. Not offered 2015–16.
ACM 190. Reading and Independent Study. Units by arrangement. Graded pass/fail only.
ACM 201 ab. Partial Differential Equations. 12 units (4-0-8); first, second terms. Prerequisite: ACM 11, 101 abc or instructor’s permission. Fully nonlinear first-order PDEs, shocks, eikonal equations. Classification of second-order linear equations: elliptic, parabolic, hyperbolic. Well-posed problems. Laplace and Poisson equations; Gauss’s theorem, Green’s function. Existence and uniqueness theorems (Sobolev spaces methods, Perron’s method). Applications to irrotational flow, elasticity, electrostatics, etc. Heat equation, existence and uniqueness theorems, Green’s function, special solutions. Wave equation and vibrations. Huygens’ principle. Spherical means. Retarded potentials. Water waves and various approximations, dispersion relations. Symmetric hyperbolic systems and waves. Maxwell equations, Helmholtz equation, Schrödinger equation. Radiation conditions. Gas dynamics. Riemann invariants. Shocks, Riemann problem. Local existence theory for general symmetric hyperbolic systems. Global existence and uniqueness for the inviscid Burgers’ equation. Integral equations, single- and double-layer potentials. Fredholm theory. Navier-Stokes equations. Stokes flow, Reynolds number. Potential flow; connection with complex variables. Blasius formulae. Boundary layers. Subsonic, supersonic, and transonic flow. Not offered 2015–16.
ACM 204. Topics in Convexity. 9 units (3-0-6); second term. Prerequisites: CMS/ACM 104 and CMS/ACM 113; or instructor’s permission. The content of this course varies from year to year among advanced subjects in linear algebra, convex analysis, and related fields. Specific topics for the class include matrix analysis, operator theory, convex geometry, or convex algebraic geometry. Lectures and homework will require the ability to understand and produce mathematical proofs. Not overed 2015–16.
ACM 210 ab. Numerical Methods for PDEs. 9 units (3-0-6); second, third terms. Prerequisite: ACM 11, 106 or instructor’s permission. Finite difference and finite volume methods for hyperbolic problems. Stability and error analysis of nonoscillatory numerical schemes: i) linear convection: Lax equivalence theorem, consistency, stability, convergence, truncation error, CFL condition, Fourier stability analysis, von Neumann condition, maximum principle, amplitude and phase errors, group velocity, modified equation analysis, Fourier and eigenvalue stability of systems, spectra and pseudospectra of nonnormal matrices, Kreiss matrix theorem, boundary condition analysis, group velocity and GKS normal mode analysis; ii) conservation laws: weak solutions, entropy conditions, Riemann problems, shocks, contacts, rarefactions, discrete conservation, Lax-Wendroff theorem, Godunov’s method, Roe’s linearization, TVD schemes, high-resolution schemes, flux and slope limiters, systems and multiple dimensions, characteristic boundary conditions; iii) adjoint equations: sensitivity analysis, boundary conditions, optimal shape design, error analysis. Interface problems, level set methods for multiphase flows, boundary integral methods, fast summation algorithms, stability issues. Spectral methods: Fourier spectral methods on infinite and periodic domains. Chebyshev spectral methods on finite domains. Spectral element methods and h-p refinement. Multiscale finite element methods for elliptic problems with multiscale coefficients. Not offered 2015–16.
ACM 213. Topics in Optimization. 9 units (3-0-6); third term. Prerequisites: CMS/ACM 104, CMS/ACM 113. Material varies year-to-year. Example topics include discrete optimization, convex and computational algebraic geometry, numerical methods for large-scale optimization, and convex geometry. Instructors: Chandrasekaran.
ACM 216. Markov Chains, Discrete Stochastic Processes and Applications. 9 units (3-0-6); second term. Prerequisite: ACM/EE 116 or equivalent. Stable laws, Markov chains, classification of states, ergodicity, von Neumann ergodic theorem, mixing rate, stationary/equilibrium distributions and convergence of Markov chains, Markov chain Monte Carlo and its applications to scientific computing, Metropolis Hastings algorithm, coupling from the past, martingale theory and discrete time martingales, rare events, law of large deviations, Chernoff bounds. Instructor: Owhadi.
ACM 217 ab. Advanced Topics in Stochastic Analysis. 9 units (3-0-6); third term. Prerequisite: ACM 216 or equivalent. The topic of this course changes from year to year and is expected to cover areas such as stochastic differential equations, stochastic control, statistical estimation and adaptive filtering, empirical processes and large deviation techniques, concentration inequalities and their applications. Examples of selected topics for stochastic differential equations include continuous time Brownian motion, Ito’s calculus, Girsanov theorem, stopping times, and applications of these ideas to mathematical finance and stochastic control. Not offered 2015–16.
ACM/CS/EE 218. Statistical Inference. 9 units (3-0-6); third term. Prerequisites: CMS/ACM 104 and CMS/ACM/EE 116, or instructor’s permission. Fundamentals of estimation theory and hypothesis testing; Bayesian and non-Bayesian approaches; minimax analysis, Cramer-Rao bounds, shrinkage in high dimensions; Kalman filtering, basics of graphical models; statistical model selection. Throughout the course, a computational viewpoint will be emphasized. Not offered 2015–16.
Ae/ACM/ME 232 abc. Computational Fluid Dynamics. 9 units (3-0-6); first, second terms. Prerequisites: Ae/APh/CE/ME 101 abc or equivalent; ACM 100 abc or equivalent. Development and analysis of algorithms used in the solution of fluid mechanics problems. Numerical analysis of discretization schemes for partial differential equations including interpolation, integration, spatial discretization, systems of ordinary differential equations; stability, accuracy, aliasing, Gibbs and Runge phenomena, numerical dissipation and dispersion; boundary conditions. Survey of finite difference, finite element, finite volume and spectral approximations for the numerical solution of the incompressible and compressible Euler and Navier-Stokes equations, including shock-capturing methods. Not offered 2015–2016.
ACM 256 ab. Special Topics in Applied Mathematics. 9 units (3-0-6); first term. Prerequisite: ACM 101 or equivalent.Introduction to finite element methods. Development of the most commonly used method—continuous, piecewise-linear finite elements on triangles for scalar elliptic partial differential equations; practical (a posteriori) error estimation techniques and adaptive improvement; formulation of finite element methods, with a few concrete examples of important equations that are not adequately treated by continuous, piecewise-linear finite elements, together with choices of finite elements that are appropriate for those problems. Homogenization and optimal design. Topics covered include periodic homogenization, G- and H-convergence, Gamma-convergence, G-closure problems, bounds on effective properties, and optimal composites. Not offered 2015–16.
ACM 257. Special Topics in Financial Mathematics. 9 units (3-0-6); third term. Prerequisite: ACM 95/100 or instructor’s permission. A basic knowledge of probability and statistics as well as transform methods for solving PDEs is assumed. This course develops some of the techniques of stochastic calculus and applies them to the theory of financial asset modeling. The mathematical concepts/tools developed will include introductions to random walks, Brownian motion, quadratic variation, and Ito-calculus. Connections to PDEs will be made by Feynman-Kac theorems. Concepts of risk-neutral pricing and martingale representation are introduced in the pricing of options. Topics covered will be selected from standard options, exotic options, American derivative securities, term-structure models, and jump processes. Not offered 2015–16.
ACM 270. Advanced Topics in Applied and Computational Mathematics. Hours and units by arrangement; second, third terms. Advanced topics in applied and computational mathematics that will vary according to student and instructor interest. May be repeated for credit. Instructor: Staff.
ACM 300. Research in Applied and Computational Mathematics. Units by arrangement.
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Computer Science Courses
CS 1. Introduction to Computer Programming. 9 units (3-4-2); first term. A course on computer programming emphasizing the program design process and pragmatic programming skills. It will use the Python programming language and will not assume previous programming experience. Material covered will include data types, variables, assignment, control structures, functions, scoping, compound data, string processing, modules, basic input/output (terminal and file), as well as more advanced topics such as recursion, exception handling and object-oriented programming. Program development and maintenance skills including debugging, testing, and documentation will also be taught. Assignments will include problems drawn from fields such as graphics, numerics, networking, and games. At the end of the course, students will be ready to learn other programming languages in courses such as CS 11, and will also be ready to take more in-depth courses such as CS 2 and CS 4. Instructor: Vanier.
CS 2. Introduction to Programming Methods. 9 units (2-6-1); second term. Prerequisites: CS 1 or equivalent. CS 2 is a demanding course in programming languages and computer science. Topics covered include data structures, including lists, trees, and graphs; implementation and performance analysis of common algorithms; algorithm design principles, in particular recursion and dynamic programming; concurrency and network programming; basic numerical computation methods. Heavy emphasis is placed on the use of compiled languages and development tools, including source control and debugging. The course includes weekly laboratory exercises and written homework covering the lecture material and program design. The course is intended to establish a foundation for further work in many topics in the computer science option. Instructors: Barr, Desbrun.
CS 3. Introduction to Software Engineering. 9 units (2-4-3); third term. Prerequisites: CS 2 or equivalent. CS 3 is a practical introduction to software engineering with an emphasis on understanding and minimizing risk in large software projects. Students will work in teams on a course-long project. Topics covered include revision control, code reviews, testing and testability, code readability, API design, refactoring, and documentation. The course provides opportunities to present your work to the class, and emphasizes working with other people’s code, both that of classmates and pre-existing frameworks. Not offered 2015–16.
CS 4. Fundamentals of Computer Programming. 9 units (3-4-2); second term. Prerequisite: CS 1 or instructor’s permission.This course gives students the conceptual background necessary to construct and analyze programs, which includes specifying computations, understanding evaluation models, and using major programming language constructs (functions and procedures, conditionals, recursion and looping, scoping and environments, compound data, side effects, higher-order functions and functional programming, and object-oriented programming). It emphasizes key issues that arise in programming and in computation in general, including time and space complexity, choice of data representation, and abstraction management. This course is intended for students with some programming background who want a deeper understanding of the conceptual issues involved in computer programming. Instructor: Vanier.
Ma/CS 6 abc. Introduction to Discrete Mathematics. 9 units (3-0-6); first, second, third terms. Prerequisite: for Ma/CS 6 c, Ma/CS 6 a or Ma 5 a or instructor’s permission. First term: a survey emphasizing graph theory, algorithms, and applications of algebraic structures. Graphs: paths, trees, circuits, breadth-first and depth-first searches, colorings, matchings. Enumeration techniques; formal power series; combinatorial interpretations. Topics from coding and cryptography, including Hamming codes and RSA. Second term: directed graphs; networks; combinatorial optimization; linear programming. Permutation groups; counting nonisomorphic structures. Topics from extremal graph and set theory, and partially ordered sets. Third term: elements of computability theory and computational complexity. Discussion of the P=NP problem, syntax and semantics of propositional and first-order logic. Introduction to the Gödel completeness and incompleteness theorems. Instructors: Scheffer, Lupini.
CS 9. Introduction to Computer Science Research. 1 unit (1-0-0); first term. This course will introduce the research areas of the computer science faculty, through weekly overview talks by the faculty aimed at first-year undergraduates. Others may wish to take the course to gain an understanding of the scope of the field. Graded pass/fail. Instructor: Desbrun.
CS 11. Computer Language Shop. 3 units (0-3-0); first, second, third terms. Prerequisite: CS 1 or instructor’s permission. A self-paced lab that provides students with extra practice and supervision in transferring their programming skills to a particular programming language; the course can be used for any language of the student’s choosing, subject to approval by the instructor. A series of exercises guide the student through the pragmatic use of the chosen language, building his or her familiarity, experience, and style. More advanced students may propose their own programming project as the target demonstration of their new language skills. CS 11 may be repeated for credit of up to a total of nine units. Instructors: Pinkston, Vanier.
CS 21. Decidability and Tractability. 9 units (3-0-6); second term. Prerequisite: CS 2 (may be taken concurrently). This course introduces the formal foundations of computer science, the fundamental limits of computation, and the limits of efficient computation. Topics will include automata and Turing machines, decidability and undecidability, reductions between computational problems, and the theory of NP-completeness. Instructor: Umans.
CS 24. Introduction to Computing Systems. 9 units (3-3-3); third term. Prerequisites: Familiarity with C equivalent to having taken the CS 11 C track. Basic introduction to computer systems, including hardware-software interface, computer architecture, and operating systems. Course emphasizes computer system abstractions and the hardware and software techniques necessary to support them, including virtualization (e.g., memory, processing, communication), dynamic resource management, and common-case optimization, isolation, and naming. Instructor: Pinkston.
CS 38. Introduction to Algorithms. 9 units (3-0-6); third term. Prerequisites: CS 2; Ma/CS 6 a or Ma 121 a; and CS 21 or CS/EE/Ma 129 a. This course introduces techniques for the design and analysis of efficient algorithms. Major design techniques (the greedy approach, divide and conquer, dynamic programming, linear programming) will be introduced through a variety of algebraic, graph, and optimization problems. Methods for identifying intractability (via NP-completeness) will be discussed. Instructor: Schulman.
EE/CS 51. Principles of Microprocessor Systems. 12 units (4-5-3); first term. The principles and design of microprocessor-based computer systems. Lectures cover both hardware and software aspects of microprocessor system design such as interfacing to input and output devices, user interface design, real-time systems, and table-driven software. The homework emphasis is on software development, especially interfacing with hardware, in assembly language. Instructor: George.
EE/CS 52 ab. Microprocessor Systems Laboratory. units (3-6-0) second term; 6 units (1-5-0) third term; second, third terms. Prerequisites: EE/CS 51 or equivalent. The student will design, build, and program a specified microprocessor-based system. This structured laboratory is organized to familiarize the student with electronic circuit construction techniques, modern development facilities, and standard design techniques. The lectures cover topics in microprocessor system design such as display technologies, interfacing with analog systems, and programming microprocessors in high-level languages. Instructors: George.
EE/CS 53. Microprocessor Project Laboratory. 12 units (0-12-0); first, second, third terms. Prerequisites: EE/CS 52 ab or equivalent. A project laboratory to permit the student to select, design, and build a microprocessor-based system. The student is expected to take a project from proposal through design and implementation (possibly including PCB fabrication) to final review and documentation. May be repeated for credit. Instructor: George.
CS/EE/ME 75 abc. Introduction to Multidisciplinary Systems Engineering. 3 units (2-0-1) , 6 units (2-0-4), or 9 units (2-0-7) first term; 6 units (2-3-1), 9 units (2-6-1), or 12 units (2-9-1) second term; 12 units (2-9-1), 15 units (2-12-1), or 18 units (2-15-1), with instructor’s permission, third term. This course presents the fundamentals of modern multidisciplinary systems engineering in the context of a substantial design project. Students from a variety of disciplines will conceive, design, implement, and operate a system involving electrical, information, and mechanical engineering components. Specific tools will be provided for setting project goals and objectives, managing interfaces between component subsystems, working in design teams, and tracking progress against tasks. Students will be expected to apply knowledge from other courses at Caltech in designing and implementing specific subsystems. During the first two terms of the course, students will attend project meetings and learn some basic tools for project design, while taking courses in CS, EE, and ME that are related to the course project. During the third term, the entire team will build, document, and demonstrate the course design project, which will differ from year to year. Freshmen must receive permission from the lead instructor to enroll. Instructors: Blanquart, Murray.
CS 80 abc. Undergraduate Thesis. 9 units; first, second, third terms. Prerequisite: instructor’s permission, which should be obtained sufficiently early to allow time for planning the research. Individual research project, carried out under the supervision of a member of the computer science faculty (or other faculty as approved by the computer science undergraduate option representative). Projects must include significant design effort. Written report required. Open only to upperclass students. Not offered on a pass/fail basis. Instructor: Staff.
CS 81 abc. Undergraduate Projects in Computer Science. Units are assigned in accordance with work accomplished. Prerequisites: Consent of supervisor is required before registering. Supervised research or development in computer science by undergraduates. The topic must be approved by the project supervisor, and a formal final report must be presented on completion of research. This course can (with approval) be used to satisfy the project requirement for the CS major. Graded pass/fail. Instructor: Staff.
CS 90. Undergraduate Reading in Computer Science. Units are assigned in accordance with work accomplished. Prerequisites: Consent of supervisor is required before registering. Supervised reading in computer science by undergraduates. The topic must be approved by the reading supervisor, and a formal final report must be presented on completion of the term. Graded pass/fail. Instructor: Staff.
CS 101 abc. Special Topics in Computer Science. Units in accordance with work accomplished; offered by announcement. Prerequisites: CS 21 and CS 38, or instructor’s permission. The topics covered vary from year to year, depending on the students and staff. Primarily for undergraduates.
CS 102 abc. Seminar in Computer Science. 3, 6, or 9 units as arranged with the instructor. Instructor’s permission required.
CS 103 abc. Reading in Computer Science. 3, 6, or 9 units as arranged with the instructor. Instructor’s permission required.
ACM/CS 114. Parallel Algorithms for Scientific Applications. 9 units (3-0-6); second, third term. Prerequisites: ACM 11, 106 or equivalent. Introduction to parallel program design for numerically intensive scientific applications. Parallel programming methods; distributed-memory model with message passing using the message passing interface; shared-memory model with threads using open MP, CUDA; object-based models using a problem-solving environment with parallel objects. Parallel numerical algorithms: numerical methods for linear algebraic systems, such as LU decomposition, QR method, CG solvers; parallel implementations of numerical methods for PDEs, including finite-difference, finite-element; particle-based simulations. Performance measurement, scaling and parallel efficiency, load balancing strategies. Not offered 2015–16.
CS 115. Functional Programming. 9 units (3-4-2); third term. Prerequisites: CS 1 and CS 4. This course is a both a theoretical and practical introduction to functional programming, a paradigm which allows programmers to work at an extremely high level of abstraction while simultaneously avoiding large classes of bugs that plague more conventional imperative and object-oriented languages. The course will introduce and use the lazy functional language Haskell exclusively. Topics include: recursion, first-class functions, higher-order functions, algebraic data types, polymorphic types, function composition, point-free style, proving functions correct, lazy evaluation, pattern matching, lexical scoping, type classes, and modules. Some advanced topics such as monad transformers, parser combinators, dynamic typing, and existential types are also covered. Instructor: Vanier.
CS 116. Reasoning about Program Correctness. 9 units (3-0-6); first term. Prerequisite: CS 1 or equivalent. This course presents the use of logic and formal reasoning to prove the correctness of sequential and concurrent programs. Topics in logic include propositional logic, basics of first-order logic, and the use of logic notations for specifying programs. The course presents a programming notation and its formal semantics, Hoare logic and its use in proving program correctness, predicate transformers and weakest preconditions, and fixed-point theory and its application to proofs of programs. Instructor: Staff.
Ma/CS 117 abc. Computability Theory. 9 units (3-0-6); first, second, third terms. Prerequisite: Ma 5 or equivalent, or instructor’s permission. Various approaches to computability theory, e.g., Turing machines, recursive functions, Markov algorithms; proof of their equivalence. Church’s thesis. Theory of computable functions and effectively enumerable sets. Decision problems. Undecidable problems: word problems for groups, solvability of Diophantine equations (Hilbert’s 10th problem). Relations with mathematical logic and the Gödel incompleteness theorems. Decidable problems, from number theory, algebra, combinatorics, and logic. Complexity of decision procedures. Inherently complex problems of exponential and superexponential difficulty. Feasible (polynomial time) computations. Polynomial deterministic vs. nondeterministic algorithms, NP-complete problems and the P = NP question. Not offered 2015–16.
CS 118. Logic Model Checking for Formal Software Verification. 9 units (3-3-3); second term. An introduction to the theory and practice of logic model checking as an aid in the formal proofs of correctness of concurrent programs and system designs. The specific focus is on automata-theoretic verification. The course includes a study of the theory underlying formal verification, the correctness of programs, and the use of software tools in designs. Not offered 2015–16.
CS 119. Reliable Software: Testing and Monitoring. 9 units (3-3-3); third term. Prerequisites: CS 1 or equivalent; CS 116 and CS 118 are recommended. The class discusses theoretical and practical aspects of software testing and monitoring. Topics include finite state machine testing algorithms, random testing, constraint-based testing, coverage measures, automated debugging, logics and algorithms for runtime monitoring, and aspect-oriented approaches to monitoring. Emphasis is placed on automation. Students will be expected to develop and use software testing and monitoring tools to develop reliable software systems. Not offered 2015–16.
CS 121. Introduction to Relational Databases. 9 units (3-0-6); first term. Prerequisites: CS 1 or equivalent. Introduction to the basic theory and usage of relational database systems. It covers the relational data model, relational algebra, and the Structured Query Language (SQL). The course introduces the basics of database schema design and covers the entity-relationship model, functional dependency analysis, and normal forms. Additional topics include other query languages based on the relational calculi, data-warehousing and dimensional analysis, writing and using stored procedures, working with hierarchies and graphs within relational databases, and an overview of transaction processing and query evaluation. Extensive hands-on work with SQL databases. Instructor: Pinkston.
CS 122. Database System Implementation. 9 units (3-3-3); second term. Prerequisites: CS2, CS38, CS 121 and familiarity with Java, or instructor’s permission. This course explores the theory, algorithms, and approaches behind modern relational database systems. Topics include file storage formats, query planning and optimization, query evaluation, indexes, transaction processing, concurrency control, and recovery. Assignments consist of a series of programming projects extending a working relational database, giving hands-on experience with the topics covered in class. The course also has a strong focus on proper software engineering practices, including version control, testing, and documentation. Not offered 2015–16.
CS 123. Projects in Database Systems. 9 units (0-0-9); third term. Prerequisites: CS121 and CS122. Students are expected to execute a substantial project in databases, write up a report describing their work, and make a presentation. Not offered 2015–16.
CS 124. Operating Systems. (3-0-6); Second term. Prerequisites: CS 24. This course explores the major themes and components of modern operating systems, such as kernel architectures, the process abstraction and process scheduling, system calls, concurrency within the OS, virtual memory management, and file systems. Students must work in groups to complete a series of challenging programming projects, implementing major components of an instructional operating system. Most programming is in C, although some IA32 assembly language programming is also necessary. Familiarity with the material in CS 24 is strongly advised before attempting this course. Instructor: Pinkston.
EE/Ma/CS 126 ab. Information Theory. 9 units (3-0-6); first, second terms. Prerequisites: Ma 2. Shannon’s mathematical theory of communication, 1948-present. Entropy, relative entropy, and mutual information for discrete and continuous random variables. Shannon’s source and channel coding theorems. Mathematical models for information sources and communication channels, including memoryless, first- order Markov, ergodic, and Gaussian. Calculation of capacity and rate-distortion functions. Kolmogorov complexity and universal source codes. Side information in source coding and communications. Network information theory, including multiuser data compression, multiple access channels, broadcast channels, and multiterminal networks. Discussion of philosophical and practical implications of the theory. This course, when combined with EE 112, EE/Ma/CS 127, EE 161, and/or EE 167 should prepare the student for research in information theory, coding theory, wireless communications, and/or data compression. Instructor: Effros.
EE/Ma/CS 127. Error-Correcting Codes. 9 units (3-0-6); second term. Prerequisites: Ma 2. This course develops from first principles the theory and practical implementation of the most important techniques for combating errors in digital transmission or storage systems. Topics include algebraic block codes, e.g., Hamming, BCH, Reed-Solomon (including a self-contained introduction to the theory of finite fields); and the modern theory of sparse graph codes with iterative decoding, e.g. LDPC codes, turbo codes, fountain coding. Emphasis will be placed on the associated encoding and decoding algorithms, and students will be asked to demonstrate their understanding with a software project. Instructor: Kostina.
CS/EE/Ma 129 abc. Information and Complexity. 9 units (3-0-6), first and second terms; (1-4-4) third term. Prerequisite: basic knowledge of probability and discrete mathematics. A basic course in information theory and computational complexity with emphasis on fundamental concepts and tools that equip the student for research and provide a foundation for pattern recognition and learning theory. First term: what information is and what computation is; entropy, source coding, Turing machines, uncomputability. Second term: topics in information and complexity; Kolmogorov complexity, channel coding, circuit complexity, NP-completeness. Third term: theoretical and experimental projects on current research topics. Not offered 2015–16.
ME/CS 132 ab. Advanced Robotics: Navigation and Vision. 9 units (3-6-0); second, third terms. Prerequisite: ME 115 ab. The course focuses on current topics in robotics research in the area of autonomous navigation and vision. Topics will include mobile robots, multilegged walking machines, use of vision in navigation systems. The lectures will be divided between a review of the appropriate analytical techniques and a survey of the current research literature. Course work will focus on an independent research project chosen by the student. Not offered 2015–16.
EE/CS/EST 135. Power System Analysis. 9 units (3-3-3); second term. Prerequisites: EE 44, Ma 2, or equivalent. Phasor representation, 3-phase transmission system, per-phase analysis; power system modeling, transmission line, transformer, generator; network matrix, power flow solution, optimal power flow; Swing equation, stability, protection; demand response, power markets. Instructors: Low.
CS 138. Computer Algorithms. 9 units (3-0-6); third term. Prerequisites: CS 21 and CS 38, or instructor’s permission. Design and analysis of algorithms. Techniques for problems concerning graphs, flows, number theory, string matching, data compression, geometry, linear algebra and coding theory. Optimization, including linear programming. Randomization. Basic complexity theory and cryptography. Instructor: Schulman.
CMS/CS 139. Analysis and Design of Algorithms. 12 units (3-0-9); second term. Prerequisites: Ma 2, Ma 3, Ma/CS 6a, CS 21, CS 38/138, CMS/ACM/EE 116, or instructor’s permission. This course covers advanced topics in the design and analysis of algorithms. Topics are drawn from approximation algorithms, randomized algorithms, online algorithms, streaming algorithms, and other areas of current research interest in algorithms. Instructors: Vidick.
CS 142. Distributed Computing. (3-0-6); third term. Prerequisites: CS 24, CS 38. Programming distributed systems. Mechanics for cooperation among concurrent agents. Programming sensor networks and cloud computing applications. Applications of machine learning and statistics by using parallel computers to aggregate and analyze data streams from sensors. Not offered 2015–16.
CS/EE 143. Communication Networks. 9 units (3-3-3); first term. Prerequisites: Ma 2, Ma 3, CS 24 and CS 38, or instructor permission. This course introduces the basic mechanisms and protocols in communication networks, and mathematical models for their analysis. It covers topics such as digitization, switching, switch design, routing, error control (ARQ), congestion control, layering, queuing models, optimization models, basics of protocols in the Internet, wireless networks, and optical networks. Instructor: Low.
CMS/CS/EE 144. Networks: Structure Economics. 12 units (3-3-6); second term. Prerequisites: Ma 2, Ma 3, Ma/CS 6a, and CS 38, or instructor permission. Social networks, the web, and the internet are essential parts of our lives and we all depend on them every day, but do you really know what makes them work?This course studies the “big” ideas behind our networked lives. Things like, what do networks actually look like (and why do they all look the same)? How do search engines work? Why do memes spread the way they do? How does web advertising work? For all these questions and more, the course will provide a mixture of both mathematical analysis and hands-on labs. The course assumes students are comfortable with graph theory, probability, and basic programming. Instructors: Wierman.
CS/EE 145. Projects in Networking. 9 units (0-0-9); third term. Prerequisites: Either CMS/CS/EE 144 or CS 141 b in the preceding term, or instructor permission. Students are expected to execute a substantial project in networking, write up a report describing their work, and make a presentation. Instructor: Wierman.
CS/EE 146. Advanced Networking. 9 units (3-3-3); third term. Prerequisites: CS/EE 143 or instructor’s permission. This is a research-oriented course meant for undergraduates and beginning graduate students who want to learn about current research topics in networks such as the Internet, power networks, social networks, etc. The topics covered in the course will vary, but will be pulled from current research topics in the design, analysis, control, and optimization of networks, protocols, and Internet applications. Usually offered in alternate years. Not offered 2015–16.
EE/CNS/CS 148. Selected Topics in Computational Vision. 9 units (3-0-6); third term. Prerequisites: undergraduate calculus, linear algebra, geometry, statistics, computer programming . The class will focus on an advanced topic in computational vision: recognition, vision-based navigation, 3-D reconstruction. The class will include a tutorial introduction to the topic, an exploration of relevant recent literature, and a project involving the design, implementation, and testing of a vision system. Instructors: Perona.
SS/CS 149. Introduction to Algorithmic Economics. 9 units (3-0-6); first term. Prerequisites: Ma 3, CS 24 and CS 38, or instructor permission. This course will equip students to engage with current topics of active research at the intersection of social and information sciences, including: algorithmic mechanism design; auctions; existence and computation of equilibria; and learning and games. Not offered 2015–16.
CS 150. Probability and Algorithms. 9 units (3-0-6); second term. Prerequisites: CS 38 a and Ma 5 abc. Elementary randomized algorithms and algebraic bounds in communication, hashing, and identity testing. Game tree evaluation. Topics may include randomized parallel computation; independence, k-wise independence and derandomization; rapidly mixing Markov chains; expander graphs and their applications; clustering algorithms. Not offered 2015–16.
CS 151. Complexity Theory. 12 units (3-0-9); third term. Prerequisites: CS 21 and CS 38, or instructor’s permission. This course describes a diverse array of complexity classes that are used to classify problems according to the computational resources (such as time, space, randomness, or parallelism) required for their solution. The course examines problems whose fundamental nature is exposed by this framework, the known relationships between complexity classes, and the numerous open problems in the area. Not offered 2015–16.
CS/SS 152. Introduction to Data Privacy. 9 units (3-0-6); first term. Prerequisites: Ma 3, CS 24 and CS 38, or instructor’s permission. How should we define privacy? What are the tradeoffs between useful computation on large datasets and the privacy of those from whom the data is derived? This course will take a mathematically rigorous approach to addressing these and other questions at the frontier of research in data privacy. We will draw connections with a wide variety of topics, including economics, statistics, information theory, game theory, probability, learning theory, geometry, and approximation algorithms. Not offered 2015–16.
CS 153. Current Topics in Theoretical Computer Science. 9 units (3-0-6); second term. Prerequisites: CS 21 and CS 38, or instructor’s permission. May be repeated for credit, with permission of the instructor. Students in this course will study an area of current interest in theoretical computer science. The lectures will cover relevant background material at an advanced level and present results from selected recent papers within that year’s chosen theme. Students will be expected to read and present a research paper. Instructor: Umans.
CMS/CS/CNS/EE 155. Machine Learning Data Mining. 12 units (3-3-6); second term. Prerequisites: background in algorithms and statistics (CS/CNS/EE/NB 154 or CS/CNS/EE 156 a or instructor’s permission). This course will cover popular methods in machine learning and data mining, with an emphasis on developing a working understanding of how to apply these methods in practice. This course will also cover core foundational concepts underpinning and motivating modern machine learning and data mining approaches. This course will be research-oriented, and will cover recent research developments. Instructors: Yue.
CS/CNS/EE 156 ab. Learning Systems. 9 units (3-0-6); first, third terms. Prerequisites: Ma 2 and CS 2, or equivalent.Introduction to the theory, algorithms, and applications of automated learning. How much information is needed to learn a task, how much computation is involved, and how it can be accomplished. Special emphasis will be given to unifying the different approaches to the subject coming from statistics, function approximation, optimization, pattern recognition, and neural networks. Not offered 2015–16.
CS/CNS/EE 159. Advanced Topics in Machine Learning. 9 units (3-0-6); third term. Prerequisites: CS 155; strong background in statistics, probability theory, algorithms, and linear algebra; background in optimization is a plus as well. This course focuses on current topics in machine learning research. This is a paper reading course, and students are expected to understand material directly from research articles. Students are also expected to present in class, and to do a final project. Instructors: Yue.
CS/CNS 171. Introduction to Computer Graphics Laboratory. 12 units (3-6-3); first term. Prerequisites: Ma 2 and extensive programming experience. This course introduces the basic ideas behind computer graphics and its fundamental algorithms. Topics include graphics input and output, the graphics pipeline, sampling and image manipulation, three-dimensional transformations and interactive modeling, basics of physically based modeling and animation, simple shading models and their hardware implementation, and fundamental algorithms of scientific visualization. Students will be required to perform significant implementations. Instructor: Barr.
CS/CNS 174. Computer Graphics Projects. 12 units (3-6-3); third term. Prerequisites: Ma 2 and CS/CNS 171 or instructor’s permission. This laboratory class offers students an opportunity for independent work covering recent computer graphics research. In coordination with the instructor, students select a computer graphics modeling, rendering, interaction, or related algorithm and implement it. Students are required to present their work in class and discuss the results of their implementation and any possible improvements to the basic methods. May be repeated for credit with instructor’s permission. Instructor: Barr.
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