Mathematics has evolved to a discipline that is mainly characterized by its method of proof, its concern for a progressive broadening of its concepts, and by the search for mathematical entities and operations that represent aspects of reality. It is a subject that is pursued by many for its own sake, and regarded as part of the mainstream of human culture. Mathematics pervades modern society with an impact which, already immense, is rapidly growing.
The two principal divisions of mathematics are pure mathematics and applied mathematics. The pure mathematician is interested in abstract mathematical structures and in mathematics as an intellectual enterprise. The primary concern may not be with its utilitarian aspects or with the current needs of science and technology, although many problems in pure mathematics have developed from the sciences.
The applied mathematician is more interested in how mathematics can be used to study some aspects of the world. Mathematicians are engaged in the creation, study and application of advanced mathematical methods relevant to scientific problems. Statistical science and methodology today is concerned with phenomena in which there is a background of uncertainty arising from inherent variability and the investigator is obliged to arrive at decisions from limited data. A key tool in statistics is probability.
Some of the fields in which pure mathematicians work are algebra, analysis, geometry, topology, number theory and foundations. Applied mathematics, which once referred to the application of mathematics to such disciplines as mechanics and fluid dynamics, has currently assumed a much broader meaning and embraces such diverse fields as communication theory, theory of optimization, theory of games and numerical analysis.
Mathematics offers many vocational possibilities. Such fields as teaching, computing, applied statistics and actuarial science offer opportunities for B.Sc. graduates. Opportunities to do original research in pure and applied mathematics are available in universities and research institutions. Employment is to be found in financially or technologically oriented business firms. The Department of Mathematics and Statistics through its various programs attempts to provide courses to suit the diverse interests within mathematics and statistics.
The Honours Program demands of the student a talent for abstraction in addition to a high level of competence in the use of mathematical tools. This program is intended for students who plan to work in an area where mathematical innovations may be needed. It is almost essential for students contemplating a career in mathematical research.
The Major Program involves the same subjects as the Honours Program but is less demanding in terms of abstraction. It is designed primarily for students who will need mathematical tools in their work but whose creative activity will involve applications of mathematics to other areas. Within the framework of the Mathematics Major, various combinations of courses are suggested to meet the needs of different students. These include course suggestions for secondary school teachers, careers in management, and for careers in industry, government or actuarial sciences.
It is possible for Major students to include a number of Honours courses in their programs. This will be an advantage for those students who plan to use their mathematics in graduate studies.
Students interested in a Mathematics program linked to other disciplines are advised to consider the B.Sc. Liberal Program with a core component in Mathematics or Statistics, or our joint programs with Computer Science, Physiology and Physics.
In planning their programs, students are advised to seriously consider developing some depth in another discipline – preferably one for which mathematics has some relevance and use. Mathematics has been closely linked to areas such as computer science, physics and engineering but has recently come to play an increasingly important role in fields such as biology, linguistics, management and psychology. Students should consider completing the requirements for Minor programs such as those available in Cognitive Science, Computer Science and Statistics.
Students considering programs in Mathematics and Statistics should contact the Department to arrange for academic advising.
The student's attention is called to the fact that a B.Com. degree with a Major in Mathematics is available from the Desautels Faculty of Management. In addition, the Schulich School of Music offers the B.Mus. degree with Honours in Theory with Mathematics Option.
Students who want to get practical experience in industry before graduation are encouraged to participate in one of the following internship programs:
For more information on these programs, consult Industrial Practicum (IP) and Internship Year in Science (IYS).
|Michael Barr; A.B., Ph.D.(Penn.) (Peter Redpath Emeritus Professor of Pure Mathematics)|
|Marta Bunge; M.A., Ph.D.(Penn.)|
|Jal R. Choksi; B.A.(Cant.), Ph.D.(Manc.)|
|Ian Connell; B.Sc., M.Sc.(Manit.), Ph.D.(McG.)|
|Paul Koosis; B.A., Ph.D.(Calif., Berk.)|
|Joachim Lambek; M.Sc., Ph.D.(McG.), F.R.S.C. (Peter Redpath Emeritus Professor of Pure Mathematics)|
|Sherwin A. Maslowe; B.Sc.(Wayne State), M.Sc., Ph.D.(Calif.)|
|Arak M. Mathai; M.Sc.(Kerala), M.A., Ph.D.(Tor.)|
|Karl Peter Russel; Vor.Dip.(Hamburg), Ph.D.(Calif.)|
|Georg Schmidt; B.Sc.(Natal), M.Sc.(S.Af.), Ph.D.(Stan.)|
|V. Seshadri; B.Sc., M.Sc.(Madr.), Ph.D.(Okla.)|
|George P.H. Styan; M.A., Ph.D.(Col.)|
|Kwok Kuen Tam; M.A., Ph.D.(Tor.)|
|John C. Taylor; B.Sc.(Acad.), M.A.(Qu.), Ph.D.(McM.)|
|Sanjo Zlobec; M.Sc.(Zagreb), Ph.D.(N'western)|
|William J. Anderson; B.Eng., Ph.D.(McG.)|
|William G. Brown; M.A.(Col.), B.A., Ph.D.(Tor.)|
|Henri Darmon; B.Sc.(McG.), Ph.D.(Harv.), F.R.S.C. (James McGill Professor)|
|Stephen W. Drury; M.A., Ph.D.(Cant.)|
|Eyal Z. Goren; B.A., M.S., Ph.D.(Hebrew)|
|Kohur GowriSankaran; B.A., M.A.(Madr.), Ph.D.(Bom.)|
|Pengfei Guan; B.Sc.(Zhejiang), M.Sc., Ph.D.(Prin.)|
|Jacques C. Hurtubise; B.Sc.(Montr.), Ph.D.(Oxf.), F.R.S.C.|
|Dmitry Jakobson; B.Sc.(MIT), Ph.D.(Prin.) (William Dawson Scholar)|
|Vojkan Jaksic; B.S.(Belgrade), Ph.D.(Caltech)|
|Niky Kamran; B.Sc., M.Sc.(Brussels), Ph.D.(Wat.), F.R.S.C. (James McGill Professor)|
|Olga Kharlampovich; M.A.(Ural State), Ph.D.(Leningrad), Dr.Sc.(Steklov Institute)|
|Michael Makkai; M.A., Ph.D.(Bud.) (Peter Redpath Professor of Pure Mathematics)|
|Charles Roth; M.Sc.(McG.), Ph.D.(Hebrew)|
|F. Bruce Shepherd; B.Sc.(Vic., Tor.), M.Sc., Ph.D.(Wat.) (James McGill Professor)|
|David A. Stephens; B.Sc., Ph.D.(Nott.)|
|John A. Toth; B.Sc., M.Sc.(McM.), Ph.D.(MIT) (William Dawson Scholar)|
|Daniel T. Wise; B.A.(Yeshiva), Ph.D.(Prin.)|
|David Wolfson; M.Sc.(Natal), Ph.D.(Purd.)|
|JianJu Xu; B.Sc., M.Sc.(Beijing), M.Sc., Ph.D.(Renss.)|
|Masoud Asgharian; B.Sc.(Shahid Beheshti), M.Sc., Ph.D.(McG.)|
|Peter Bartello; B.Sc.(Tor.), M.Sc., Ph.D.(McG.) (joint appoint. with Atmospheric and Oceanic Sciences)|
|Antony Humphries; B.A., M.A.(Camb.), Ph.D.(Bath)|
|Wilbur Jonsson; M.Sc.(Manit.), Dr.Rer.Nat.(Tübingen)|
|Ivo Klemes; B.Sc.(Tor.), Ph.D.(Calif. Tech.)|
|James G. Loveys; B.A.(St. Mary's), M.Sc., Ph.D.(S. Fraser)|
|Neville G.F. Sancho; B.Sc., Ph.D.(Belf.)|
|Russell Steele; B.S., M.S.(Carn. Mell), Ph.D.(Wash.)|
|Alain Vandal; B.Sc., M.Sc.(McG.), Ph.D.(Auck.)|
|Adrian Vetta; B.Sc., M.Sc.(LSE), Ph.D.(MIT) (joint appoint. with Computer Science)|
|Louigi Addario-Berry; B.Sc., M.Sc., Ph.D.(McG.)|
|Jayce Getz; A.B.(Harv), Ph.D.(Wis.)|
|Abbas Khalili; B.S., M.S.(Esfahan), Ph.D.(Wat.)|
|Johanna Neslehova; Vor.Dip.(Prague), Dip.(Hamburg), Ph.D.(Oldenburg)|
|Gantumur Tsogtgerel; B.Sc.(Mongolia), M.Sc.(Netherlands), Ph.D.(Utrecht)|
|Xiao-Wen Chang (Computer Science)|
|Luc P. Devroye (Computer Science)|
|P.R.L. Dutilleul (Plant Science)|
|Eliot Fried (Mechanical Engineering)|
|Leon Glass (Physiology)|
|James A. Hanley (Epidemiology & Biostatistics)|
|Lawrence Joseph (Epidemiology & Biostatistics)|
|Michael Mackey (Physiology)|
|Lawrence A. Mysak (A.O.S.)|
|Christopher Conway Paige (Computer Science)|
|Prakash Panangaden (Computer Science)|
|Robert W. Platt (Pediatrics)|
|James O. Ramsay (Psychology)|
|George Alexander Whitmore (Management)|
|Christina Wolfson (Epidemiology & Biostatistics)|
|Vasek Chvatal; M.A.(Charles U., Prague), Ph.D.(Wat.)|
|Donald A. Dawson; B.Sc., M.Sc.(McG.), Ph.D.(MIT)|
|Martin J. Gander; M.S.(ETH), M.S., Ph.D.(Stan.)|
|Andrew Granville; B.A., CASM(Camb.), Ph.D.(Qu.)|
|Adrian Iovita; B.S.(Buc.), Ph.D.(Boston)|
|Ming Mei; B.Sc., M.Sc.(Jiangxi Normal University), Ph.D.(Kanazawa)|
|Alexei Miasnikov; M.Sc.(Novosibirsk), Ph.D., Dr.Sc.(Leningrad)|
|M. Ram Murty; B.Sc.(Car.), Ph.D.(MIT), F.R.S.C.|
|Vladimir Remeslennikov; M.Sc.(Perm, Russia), Ph.D.(Novosibirsk)|
|Robert A. Seely; B.Sc.(McG.), Ph.D.(Cant.)|
|Thomas Wihler; M.S., Ph.D.(ETH)|
|Jose A. Correa; M.Sc.(Wat.), Ph.D.(Car.)|
|Axel Hundemer; M.Sc., Ph.D.(Munich)|
|Armel Djivede Kelome; M.Sc.(Benin), M.Sc.(McG.), Ph.D.(Georgia Tech.)|
The Minor may be taken in conjunction with any primary program in the Faculty of Science (other than programs in Mathematics). Students should declare their intention to follow the Minor Mathematics at the beginning of the penultimate year and should obtain approval for the selection of courses to fulfil the requirements for the Minor from the Departmental Chief ...
For more information, see Minor Mathematics (24 credits).
The Minor may be taken in conjunction with any primary program in the Faculty of Science. Students should declare their intention to follow the Minor Statistics at the beginning of the penultimate year and must obtain approval for the selection of courses to fulfil the requirements for the Minor from the Departmental Chief Adviser (or delegate). All courses ...
For more information, see Minor Statistics (24 credits).
For more information, see Liberal Program - Core Science Component Mathematics (45 credits).
For more information, see Liberal Program - Core Science Component Statistics (45 credits).
For more information, see Major Mathematics (54 credits).
For more information, see Major Mathematics and Computer Science (72 credits).
This program provides students with a solid training in both computer science and statistics together with the necessary mathematical background. As statistical endeavours involve ever increasing amounts of data, some students may want training in both disciplines.
For more information, see Major Statistics and Computer Science (72 credits).
For more information, see Honours Mathematics (60 credits).
Applied mathematics is a very broad field and students are encouraged to choose a coherent program of complementary courses. Most students specialize in "continuous" or "discrete" applied mathematics, but there are many sensible combinations of courses, and the following informal guidelines should be discussed with the student's advisor. Also, aside from seeking ...
For more information, see Honours Applied Mathematics (60 credits).
For more information, see Honours Probability and Statistics (64 credits).
Students may complete this program with a minimum of 72 credits or a maximum of 75 credits depending on whether or not they are exempt from taking COMP 202.
For more information, see Honours Mathematics and Computer Science (75 credits).
This is a challenging program providing students with a solid training in both computer science and statistics suitable for entry into graduate school in either discipline. Students may complete this program with a minimum of 76 credits or a maximum of 79 credits depending on whether or not they are exempt from taking COMP 202.
For more information, see Honours Statistics and Computer Science (79 credits).
For more information, see Biology (BIOL) > Bachelor of Science (B.Sc.) - Major Biology and Mathematics (76 credits).
For more information, see Physiology (PHGY) > Bachelor of Science (B.Sc.) - Major Physiology and Mathematics (77 credits).
For more information, see Physics (PHYS) > Bachelor of Science (B.Sc.) - Honours Mathematics and Physics (81 credits).