Introduction

Mathematics teaches you to think, analytically and creatively. It is a foundation for advanced careers in a knowledge-based economy. Students who develop strong backgrounds in mathematics often have distinct advantages in other fields such as physics, computer science, economics, and finance.

The past century has been remarkable for discovery in mathematics. From space and number to stability and chaos, mathematical ideas evolve in the domain of pure thought. But the relationship between abstract thought and the real world is itself a source of mathematical inspiration. Problems in computer science, economics and physics have opened new fields of mathematical inquiry. And discoveries at the most abstract level lead to breakthroughs in applied areas, sometimes long afterwards.

The University of Toronto has the top mathematics department in Canada, and hosts the nearby Fields Institute (an international centre for research in mathematics. The Department offers students excellent opportunities to study the subject and glimpse current research frontiers. The Department offers three mathematical Specialist programs - Mathematics, Applied Mathematics, Mathematics and its Applications - as well as Major and Minor programs and several joint Specialist programs with other disciplines (for example, with Computer Science, Economics, Philosophy, Physics and Statistics.

The Specialist program in Mathematics is for students who want a deep knowledge of the subject. This program has been the main training-ground for Canadian mathematicians. A large proportion of our Mathematics Specialist graduates gain admission to the world’s best graduate schools.

The Specialist program in Applied Mathematics is for students interested in the fundamental ideas in areas of mathematics that are directed towards applications. The mathematics course requirements in the first two years are the same as in the Mathematics Specialist program; a strong student can take the courses needed to get a degree in both Specialist programs.

These programs are challenging, but small classes with excellent professors and highly-motivated students provide a stimulating and friendly learning environment.

The Specialist program in Mathematics and its Applications is recommended to students with strong interests in mathematics and with career goals in areas such as teaching, computer science, the physical sciences and finance. The program is flexible; there is a core of courses in mathematics and related disciplines, but you can choose among several areas of concentration. The mathematics courses required for the program are essentially the same as those required for a Major in Mathematics. (They are less intense than the courses required for the Specialist programs above.) If you are interested in mathematics and are contemplating a double Major in Mathematics and in another discipline (let us take Computer Science, as an example), you should consider the advantages of fulfilling the requirements for a Specialist degree in Mathematics and its Applications with a computer science concentration. In this way, you can also get a Major in Computer Science; the difference in course requirements with a double majors that, among the courses you can choose for a Computer Science Major, you will be required to take some of a more mathematical nature. You might even consider choosing your options to fulfil the requirements for a double Specialist degree, in both Mathematics and its Applications and in the other discipline.

The Professional Experience Year program ("PEY": see also Page 21) is available to eligible, full-time Specialist students after their second year of study. The PEY program is an optional 16 month work term providing industrial experience; its length often allows students to have the rewarding experience of initiating and completing a major project.

The Department operates a non-credit summer course, PUMP, limited to students admitted to the University. It is designed for students who require additional pre-university mathematics background. Details can be found at www.math.utoronto.ca/pump

Associate Chair for Undergraduate Studies:

Professor J.W. Lorimer, Sidney Smith Hall, 100 St. George Street, Room 4072 (416-978-5164)

Student Counselling:

Sidney Smith Hall, Room 4072

Mathematics Aid Centres:

Sidney Smith Hall, Room 1071; University College, Room UC48

Departmental Office:

Sidney Smith Hall, Room 4072 (416-978-3323)

MATHEMATICS PROGRAMS

APPLIED MATHEMATICS (Hon.B.Sc.)

Consult Professor J.W. Lorimer, Associate Chair, Department of Mathematics

Specialist program:

(12 full courses or their equivalent, including at least one 400-series course)

First Year:

MAT 157Y1, 240H1

First or Second Year:

CSC 260H1

Second Year

: MAT 247H1, 257Y1, 267H1; STA 257H1

Third and Fourth Years:



1. APM 351Y1; MAT 327H1, 354H1, 357H1, 363H1

2. At least 2.5 courses chosen from 400-level APM courses and MAT 301H1/347Y1, 468H1; STA 347H1

3. At least 2 courses, including at least one full course equivalent at the 400-level chosen from options above not already selected and
CSC 350H1, 351H1, 446H1, 456H1; MAT 344H1, 454H1, 457Y1, 464H1, 477H1; STA 348H1, 352Y1, 457H1

NOTE: The Department recommends that students acquire a reading knowledge of French.

MATHEMATICS (B.Sc.)

Consult Professor J.W. Lorimer, Associate Chair, Department of Mathematics

Specialist program (Hon.B.Sc.):

(11.5 full courses or their equivalent, including at least one 400-series course)

First Year:

MAT 157Y1, 240H1

Second Year:

MAT 247H1, 257Y1, 267H1

Third and Fourth Years:



1. MAT 327H1, 347Y1, 354H1, 357H1, 477H1

2. One of: APM 351Y1, MAT 457Y1

3. Three of: APM 461H1, MAT 309H1, 363H1, 365H1, 415H1/417H1, 454H1

4. At least 2.5 APM/MAT courses including at least 1.5 at the 400-level (these may include options above not already chosen)

NOTE: The Department recommends that PHY 140Y1 be taken in First Year, that CSC 148H1/150H1/260H1 and STA 257H1 be taken during the
program, and that students acquire a reading knowledge of French.

Major program (B.Sc.):

(7.5 full courses or their equivalent)

First Year:

MAT 135Y1/136Y1/137Y1

Second Year:

MAT 223H1/240H1, 224H1/247H1, 235Y1/237Y1, 246Y1/(CSC 238H1, PHL 245H1), MAT 244H1

NOTE: MAT 223H1, 224H1, 240H1 may be taken in first year

Higher Years:



1. MAT 301H1/302H1, 334H1

2. One full course combination or equivalent at the 200+level in ACT, APM, CSC, MAT or STA

3. One full course combination or equivalent at the 300-level from Humanities/Social Sciences/Sciences

Minor program (B.Sc.):

(4 full courses or their equivalent)

1. 3 full courses in MAT/APM, or 2.5 full courses in MAT/APM plus.5 from ACT/CSC/STA

2. One 300-level course in MAT/APM or combination

NOTE: MAT 329Y1 may not be counted towards the requirements of this program

MATHEMATICS AND ITS APPLICATIONS (Hon.B.Sc.)

Consult Professor J.W. Lorimer, Associate Chair, Department of Mathematics

Specialist program:

(10.5 - 11.5 full courses or their equivalent including one full course at the 400-level)

The program requirements are the core courses below, together with the courses in one of the following areas of concentration. If you get a
specialist degree in Mathematics and its Applications, your transcript and degree will indicate also your area of concentration. Please be careful to
check course prerequisites in choosing your program.

CORE COURSES:

First Year:

CSC 148H1/150H1/260H1; MAT 135Y1/136Y1/137Y1/157Y1 (MAT 137Y1 strongly recommended), 223H/240H

Second Year:

MAT 224H1/247H1, 235Y1/237Y1/257Y1 (MAT 237Y1 strongly recommended),
MAT 246Y1/(CSC 238H1, PHL 245H1) (waived for students taking MAT 257Y1), MAT 244H1/267H1

Second or Third Years:

STA 257H1

Third Year:

MAT 301H1/302H1, 334H1

AREAS OF CONCENTRATION:

Teaching Concentration:

1. MAT 301H1, 302H1, 315H1, 329Y1, 344H1

2. Three of APM 261H1, 346H1; MAT 309H1, 335H1, 337H1, 363H1, 365H1

3. Two 300/400-level APM or STA half-courses

This program addresses an increasing need for highly qualified mathematics teachers. Students planning to apply for admission to a B.Ed. pro-
gram are encouraged also to get practical teaching experience at a level of their interests. Students successfully completing the Teaching Concen-
tration and having practical experience will be highly competitive for admission to initial teaching programs at OISE/UT.

Computer Science Concentration:

1. CSC 209H1/228H1/260H1, 258H1, 270H1; MAT 344H1

2. Three of APM 461H1; CSC 350H1, 351H1, 354H1, 364H1, 378H1, 438H1, 446H1, 456H1, 465H1, 478H1, 487H1

3. Two 300/400-level CSC half-courses

NOTE: In order to take the Computer Science concentration, you will be required to register also for a Computer Science Major. (The latter is a
restricted enrolment program and has certain admission requirements; please see the Computer Science program description.)

Finance Concentration:

APM 346H1, 466H1; two of: CSC 270H1, 350H1, 351H1, 446H1; MAT 337H1; STA 347H1, 457H1

NOTE: The stated prerequisites for STA 457H1, though recommended, can be waived for students in the Finance concentration.

Physical Sciences Concentration:

1. PHY 140Y1 (in first year); APM 346H1/351Y1; AST 221H1, 222H1

2. Two of PHY 251H1, 252H1, 255H1, 256H1

3. Two of APM 421H1, 436H1, 441H1, 446H1; AST 320H1, 325H1; MAT 337H1; PHY 307H1, 309H1, 315H1, 351H1, 352H1, 353H1, 355H1, 357H1, 358H1

Probability/Statistics Concentration:

1. CSC 350H1; APM 346H1/351Y1/361H1; MAT 337H1; STA 302H1, 347H1, 352Y1

2. Two of STA 422H1, 437H1, 438H1, 442H1, 447H1, 457H1

Design-Your-Own Concentration:

Nine half-courses of which at least six must be at the 300+level, to be approved by the Department no later than the beginning of your third year.

MATHEMATICS AND COMPUTER SCIENCE — See COMPUTER SCIENCE

MATHEMATICS AND ECONOMICS — See ECONOMICS

MATHEMATICS AND PHILOSOPHY (Hon.B.Sc.)

Consult the Undergraduate Coordinators of the Departments of Mathematics and Philosophy.

Specialist program:

(13 full courses or their equivalent including one full course at the 400-level)

First Year:

MAT 157Y1, 240H1; PHL245H1

Higher Years:



1. PHL245H1 (if not taken in First Year)

2. MAT 247H1, 257Y1, 327H1, 347Y1, 354H1/357H1

3. CSC 364H1, 438H1/MAT 309H1/PHL 344H1

4. Four of: PHL 246H1, 346H1, 347H1, 349H1, 480H1

5. One course in epistemology and/or philosophy of science

6. 3.5 additional PHL courses, preferably including two in the history of philosophy and one in ethics or social/political philosophy

MATHEMATICS AND PHYSICS (Hon.B.Sc.)

Consult Professor J.W. Lorimer, Associate Chair, Department of Mathematics, and the
Associate Chair, Department of Physics.

Specialist program:

(13.5 full courses or their equivalent, including at least one 400-series course)

First Year:

MAT 157Y1, 240H1; PHY 140Y1

Second Year:

MAT 247H1, 257Y1, 267H1; PHY 225H1, 251H1, 252H1, 255H1, 256H1

Third Year:

APM 351Y1, MAT 327H1, 354H1, 357H1, 363H1; PHY 351H1, 352H1, 355H1

Fourth Year:

APM 421H1, 426H1; PHY 457H1; APM 446H1/PHY 459H1/460H1

MATHEMATICS AND STATISTICS — See STATISTICS