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, and the physical sciences. 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.) In many cases it is possible to complete a Specialist program in Mathematics and its applications with a given concentration along with a major in the other subject without taking many extra courses. You might even consider choosing your options to fulfill the requirements for a double Specialist degree, in both Mathematics and its Applications and in the other discipline.

The Specialist program in Mathematical Applications in Economics and Finance is recommended to students with career aspirations in any form of the financial sector. Furthermore, the program is an excellent preparation for an MBA and an MMF.

The Professional Experience Year program (“PEY”: see index) 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 R. Jerrard, Bahen Building, 40 George Street, room 6236

Student Counselling: Bahen Building, room 6190

Mathematics Aid Centres: Sidney Smith Hall, room 1071

Departmental Office: Bahen Building, room 6290 (416-978-3323)

Mathematics Programs

Enrolment in the Mathematics programs requires completion of four courses; no minimum GPA is required.

Applied Mathematics (Science program)

Consult Professor R. Jerrard, Associate Chair, Department of Mathematics

Specialist program:

(13 full courses or their equivalent, including at least ONE 400- level course)

First Year:
MAT157Y1, MAT240H1, MAT247H1, CSC148H1/CSC150H1
Second Year:
MAT257Y1, MAT267H1; CSC260H1; STA257H1
Third and Fourth Years:
1. APM351Y1; MAT327H1, MAT347Y1, MAT354H1, MAT357H1, MAT363H1; STA347H1
2. At least 2 full courses chosen from: MAT332H1, MAT344H1, MAT454H1, MAT457Y1, MAT464H1, MAT477Y1; STA302H1, STA352Y1, STA438H1, STA457H1; CSC350H1, CSC351H1, CSC446H1, CSC456H1
3. Three courses from: APM421H1, 426H1, 461H1, 462H1, 466H1

NOTE: The Department recommends that PHY140Y1 be taken in First Year. If you do not have a year course in programming from high school, the Department strongly recommends that you take CSC107H1/CSC108H1 before attempting CSC148H1/CSC150H1.

Mathematics (Science program)

Consult the Associate Chair for Undergraduate Studies, Department of Mathematics

Specialist program:

(12.0 full courses or their equivalent, including at least ONE 400- level course)

First Year:
MAT157Y1, MAT240H1, MAT247H1
Second Year:
MAT257Y1, MAT267H1
Third and Fourth Years:
1. MAT327H1, MAT347Y1, MAT354H1, MAT357H1, MAT477Y1
2. One of: APM351Y1, MAT457Y1
3. Three of: APM461H1, MAT309H1, MAT363H1, ANY 400-level APM/MAT
4. At least 2.5 APM/MAT including at least 1.5 at the 400-level (these may include options above not already chosen)

NOTE: The Department recommends that PHY140Y1 be taken in First Year, that CSC148H1/CSC150H1/CSC260H1 and STA257H1 be taken during the program. If you do not have a year course in programming from high school, the Department strongly recommends that you take CSC107H1/CSC108H1 before attempting CSC148H1/CSC150H1.

Major program:

(7 full courses or their equivalent)

First Year:
MAT135Y1/MAT136Y1/MAT137Y1, MAT223H1/MAT240H1
Second Year:
MAT224H1/MAT247H1, MAT235Y1/MAT237Y1, MAT244H1, MAT246H1
NOTE:
MAT224H1 may be taken in first year
Higher Years:
1. MAT301H1, MAT309H1, MAT334H1
2. One half course or equivalent at the 200+level from: ACT, APM, MAT, STA
3. MAT401H1/MAT402H1; one half course at 300+level from: APM, MAT, HPS390H1, HPS391H1, PSL431H1, PSL432H1, 433H1, PHL346H1, PHL349H1

Minor program:

(4 full courses or their equivalent)

1. MAT135Y1/MAT136Y1/MAT137Y1, MAT235Y1/MAT237Y1, MAT223H1,MAT224H1/MAT244H1/APM236H1
2. ONE 300+-level full course or combination from: any APM, MAT, HPS390H1, HPS391H1, PSL431H1, PSL432H1, 433H1
Note: in all programs, higher kevels courses within the same topic are acceptable substitutions.

Mathematics and Its Applications (Science program)

Specialist program:

(12.0 full courses or their equivalent, including one full course at 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:
CSC108H1/CSC148H1/CSC150H1, MAT135Y1/MAT136Y1/MAT137Y1/MAT157Y1 (MAT137Y1 or MAT157Y1 is strongly recommended), MAT223H1/MAT240H1
NOTE:
CSC148H1/CSC150H1 is required for the Computer Science concentration. Many students will find it necessary to take CSC108H1 before taking CSC148H1
Second Year:
MAT224H1/MAT247H1, MAT235Y1/MAT237Y1/MAT257Y1 (MAT237Y1 strongly recommended), MAT246H1(waived for students taking MAT257Y1), MAT244H1/MAT267H1, STA257H1
Higher Years:
MAT301H1, MAT334H1, at least 0.5 course at 400-level from APM/MAT

Areas of Concentration

Teaching Concentration:

It may be to students’ advantage to keep in mind that OISE requires students to have a second teachable subject.
1. MAT329Y1, HPS/MAT390H1, HPS/MAT391H1, MAT401H1/MAT402H1
2. Two of: MAT309H1, MAT315H1, MAT332H1, MAT335H1, MAT337H1, MAT344H1, MAT363H1
3. Two half courses at 300+ level from APM, STA

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

Computer Science Concentration:

1. CSC148H1/CSC150H1, CSC207H1,CSC165H1, CSC258H1, CSC209H1, MAT332H1, MAT344H1, APM461H1
2. Two of: CSC350H1, CSC351H1, 354H1, CSC363H1, 378H1, CSC438H1, CSC446H1, CSC456H1, CSC465H1, CSC487H1
3. Two CSC half courses at 300+level.

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 and higher fees; please see the Computer Science program description.)

Physical Sciences Concentration:

1. PHY140Y1/PHY151H1, PHY152H1; APM346H1/351Y1; AST221H1, AST222H1
2. Two of PHY251H1, PHY252H1, 255H1, PHY256H1
3. Two of APM421H1, 436H1, 441H1, 446H1, AST320H1, AST325H1, MAT337H1, PHY307H1, 309H1, 315H1, 351H1, 352H1, PHY353H1, 355H1, PHY357H1, PHY358H1

Probability/Statistics Concentration:

1. APM346H1/351Y1/462H1; MAT337H1; STA302H1, STA347H1, STA352Y1, plus one additional full credit at 300+ level from APM/MAT/STA
2. Two of: STA422H1, STA437H1, STA438H1, STA442H1, STA447H1, STA457H1

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.

Mathematical Applications in Economics and Finance (Science Program)

Consult the Associate Chair for Undergraduate Studies, Department of Mathematics

Specialist program:

(11.5 - 12 full courses or their equivalent including one full course at the 400-level)

First Year:
ECO100Y1, MAT137Y1/MAT157Y1, MAT223H1, MAT224H1
Second Year:
ECO206Y1, MAT237Y1, MAT244H1, MAT246H1, STA257H1, STA261H1
Higher Years:
APM346H1, 462H1, 466H1, ECO358H1, MAT337H1, STA302H1/ECO327Y1/(ECO375H1, ECO376H1), STA347H1, STA457H1
Two of: ECO359H1, MAT332H1, MAT344H1, MAT334H1

Mathematics and Computer Science: see Computer Science

Mathematics and Economics: see Economics

Mathematics and Philosophy (Science program)

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

Specialist program:

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

First Year:
MAT157Y1, MAT240H1, MAT247H1; PHL245H1
Higher Years:
1. MAT257Y1, MAT327H1, MAT347Y1, MAT354H1/MAT357H1
2. PHL345H1/H5, MAT309H1/PHL348H1/5
3. Four of: PHL246H1/H5, PHL346H1/5, PHL347H1/H5, PHL349H1, PHL451H1/H5, PHL480H1
4. One full course from PHL200Y1/PHL205H1/PHL206H1/PHL210Y1
5. PHL265H1/PHL275H1
6. 2 additional PHL or MAT courses to a total of 12.0

NOTE:
The logic component of this program is offered jointly with the Department of Philosophy at the University of Toronto Mississauga. Students enrolling in this program must be prepared to travel to the UTM campus in order to complete program requirements with an H5 designation.

Mathematics and Physics(Science program)

Consult the Associate Chairs, Department of Mathematics and Department of Physics.

Specialist program:

(13.5 full courses or their equivalent, including at least ONE 400- level course)

First Year:
MAT157Y1, MAT240H1, MAT247H1; PHY140Y1/(PHY151H1, PHY152H1)
Second Year:
MAT257Y1, MAT267H1; PHY225H1, 251H1, PHY252H1, 255H1, PHY256H1
Third Year:
APM351Y1, MAT327H1, MAT354H1, MAT357H1, MAT363H1; PHY351H1, 352H1, 355H1
Fourth Year:
APM421H1, 426H1; PHY457H1; APM446H1/PHY459H1/PHY460H1

Mathematics and Statistics: see Statistics