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The '''University of Toronto''' (UofT), in [[Toronto]], [[Ontario]], [[Canada]] is the largest university in Canada with about 50,000 students.
In [[mathematics]], especially [[abstract algebra]], a [[binary operation]] * on a [[set]] <i>S</i> is '''commutative''' if, for all <i>x</i> and <i>y</i> in <i>S</i>, <i>x</i> * <i>y</i> = <i>y</i> * <i>x</i>.


The University was established on [[March 15]], [[1827]], when King's College in York (Toronto) was granted its [[Royal Charter]]; King's College became the University of Toronto in [[1849]]. The University today is composed of seven federated colleges at its main campus in downtown Toronto: [[University College, U of T|University College]] (est. [[1853]]); the University of [[St. Michael's College, U of T|St. Michael's College]] (est. [[1852]], affiliated with UofT [[1881]], full federation [[1910]]); [[Victoria University in the University of Toronto|Victoria College]] (est. [[1836]], federated [[1892]]); [[Trinity College, Toronto|Trinity College]] (est. [[1851]], federated [[1904]]); [[New College, U of T|New College]] (est. [[1962]]); [[Innis College]] (est. [[1964]]); and [[Woodsworth College]] (est. [[1974]]).
The most commonly known examples of commutativity are [[addition]] and [[multiplication]] of [[natural number]]s; for example:
In 1911, the cornerstone of Burwash Hall, the university's greatest residence was laid. The hall consisted of 4 houses, the most noted being [[Gate House]].In [[1965]], the University expanded into a new campus in [[Scarborough, Ontario|Scarborough]], a [[suburb]] of Toronto. In [[1967]], with the establishment of Erindale College, a third campus was added in [[Mississauga, Ontario]], also a Toronto suburb.


The University of Toronto is now widely acknowledged to be Canada's top school. It attracts the best students from Ontario and the rest of Canada, and has a growing number of international students. It once boasted that it had produced more [[Rhodes Scholar]]s than any other Canadian university, but that distinction now falls upon [[McGill University]]. This quality had much to do with UofT having far more money than any other university, having a two billion dollar endowment.
* 3 + 4 = 4 + 3 (since both [[expression]]s evaluate to 7)
* 2 × 3 = 3 × 2 (since both expressions evaluate to 6)


==Complete List of Colleges and Divisions==
Further examples of commutative binary operations include addition and multiplication of [[real number|real]] and [[complex number]]s, addition of [[vector space|vectors]], and [[intersection (sets)|intersection]] and [[union (sets)|union]] of [[set]]s.
Important non-commutative operations are the multiplication of [[matrix (math)|matrices]] and the composition of [[function]]s.


'''Arts and Science Colleges'''
An [[Abelian group]] is a [[group (math)|group]] whose operation is commutative.
*[[Victoria University in the University of Toronto|Victoria College]]
*[[University College, U of T|University College]]
*[[Trinity College, Toronto|Trinity College]]
*[[St. Michael's College, U of T|St. Michael's College]]
*[[New College, U of T|New College]]
*[[Innis College]]
*[[Woodsworth College]]
*[[Massey College]] (graduate)
*[[University of Toronto at Scarborough]]
*[[University of Toronto at Mississauga]]


'''Professional Faculties'''
A [[ring (algebra)|ring]] is called commutative if its multiplication is commutative, since the addition is commutative in any ring.
*[[Faculty of Engineering, U of T|Faculty of Engineering]]
*[[Faculty of Music, U of T|Faculty of Music]]
*[[Faculty of Physical Education, U of T|Faculty of Physical Education]]
*[[University of Toronto Law School]]
*[[Ontario Institute for Studies in Education]]
*[[Faculty of Pharmacy, U of T|Faculty of Pharmacy]]
*[[Faculty of Nursing, U of T|Faculty of Nursing]]
*[[University of Toronto Medical School]]
*[[Faculty of Dentistry, U of T|Faculty of Dentistry]]
*[[Rotman School of Management]]


'''Theological Colleges'''
See also: [[Associativity]], [[Distributive property]]
*[[Emmanuel College, U of T|Emmanuel College]], ([[United Church of Canada]])
*[[Wycliffe College, U of T|Wycliffe College]], ([[Low Anglican]]
*[[Regis College, U of T|Regis College]], ([[Jesuit]]
*[[Knox College, U of T|Knox College]], ([[Presbyterian]])
*[[St. Michael's College Faculty of Theology]] ([[Basilian]])
*[[Trinity College Faculty of Divinity]], ([[High Anglican]])


'''Other'''
[[fr:Commutativité]] [[ja:&#20132;&#25563;&#27861;&#21063;]] [[nl:Commutativiteit]]
*[[Robarts Library]]
*[[University of Toronto Schools]]
*[[Pontifical Institute for Medieval Studies]]
*[[Royal Ontario Museum]]
*[[Royal Conservatory of Music (Toronto)|Royal Conservatory of Music]]

== Noted Graduates and Faculty==

*[[Lester B. Pearson]], Prime Minister
*[[William Lyon Mackenzie King]], Prime Minister
*[[Bob Rae]], [[NDP]] premier of [[Ontario]]
*[[Arthur Meighen]], Prime Minister
*[[Vincent Massey]], First Canadian born [[Governor General]]
*[[Gordon Graydon]] leader of [[Progressive Conservative Party]]
*[[Ed Broadbent]] NDP leader
*[[Adrienne Clarkson]], governor general
*[[Paul Martin Jr.]], future Prime Minister
*[[Vaira Vike-Freiberga]], President of [[Latvia]]

*[[Frederick Banting]], developed insulin
*[[Charles Best]], developed insulin
*[[John James Richard Macleod]], nobel laureate
*[[Steve Mann]], computers
*[[Gerald Bull]] artillery expert assasinated by [[Mossad]]
*[[John Polanyi]], developed the chemical laser, nobel laureate
*[[Roberta Bondar]], first Canadian female astronaut

*[[John Kenneth Galbraith]], economist
*[[Northrop Frye]], scholar
*[[Marshall McLuhan]], communications theorist
*[[Allan Bloom]], [[Plato]] scholar

*[[Frank Gehry]], architect
*[[Daniel Liebskind]], architect

*[[Margaret Atwood]], author
*[[Robertson Davies]], author
*[[Christian Bok]], poet
*[[Morley Callaghan]], author
*[[Jeffrey Simpson]], journalist and author
*[[Michael Ondaatje]], author
*[[Michael Ignatieff]], author
*[[Stephen Leacock]], humour writer
*[[Rohinton Mistry]], author
*[[John McCrae]], doctor and poet

*[[Norman Jewison]], director
*[[Donald Sutherland]], actor

''[http://www.utoronto.ca/ Official university website]''

Revision as of 02:52, 7 October 2003

The University of Toronto (UofT), in Toronto, Ontario, Canada is the largest university in Canada with about 50,000 students.

The University was established on March 15, 1827, when King's College in York (Toronto) was granted its Royal Charter; King's College became the University of Toronto in 1849. The University today is composed of seven federated colleges at its main campus in downtown Toronto: University College (est. 1853); the University of St. Michael's College (est. 1852, affiliated with UofT 1881, full federation 1910); Victoria College (est. 1836, federated 1892); Trinity College (est. 1851, federated 1904); New College (est. 1962); Innis College (est. 1964); and Woodsworth College (est. 1974). In 1911, the cornerstone of Burwash Hall, the university's greatest residence was laid. The hall consisted of 4 houses, the most noted being Gate House.In 1965, the University expanded into a new campus in Scarborough, a suburb of Toronto. In 1967, with the establishment of Erindale College, a third campus was added in Mississauga, Ontario, also a Toronto suburb.

The University of Toronto is now widely acknowledged to be Canada's top school. It attracts the best students from Ontario and the rest of Canada, and has a growing number of international students. It once boasted that it had produced more Rhodes Scholars than any other Canadian university, but that distinction now falls upon McGill University. This quality had much to do with UofT having far more money than any other university, having a two billion dollar endowment.

Complete List of Colleges and Divisions

Arts and Science Colleges

Professional Faculties

Theological Colleges

Other

Noted Graduates and Faculty

Official university website

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