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 worlds
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.) 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 major is
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 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 MBA and
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 6166
Mathematics Aid Centres: Sidney Smith Hall, Room 1071; University
College, Room UC48
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-series
course)
First Year:
MAT157Y1, MAT240H1, MAT247H1, CSC148H1/CSC150H1
Second Year:
MAT257Y1, MAT267H1; CSC260H1; STA257H1
Third and Fourth Years:
1. APM351Y1; MAT327H1, MAT354H1, MAT347Y1, MAT357H1, MAT363H1; STA347H1
2. At least 2 full courses chosen from: MAT344H1, MAT454H1, MAT457Y1, MAT464H1,
477Y1; STA302H1, STA352Y1, STA438H1, STA457H1; CSC350H1, CSC351H1, CSC446H1, CSC456H1
3. Three courses from: APM421H1, APM426H1, APM461H1, APM462H1, APM466H1
NOTE: The Department recommends that PHY 140Y1 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 Professor R. Jerrard, Associate Chair, Department of Mathematics
Specialist program:
(11.5 full courses or their equivalent, including at least one
400-series 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 PHY 140Y1 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
Second Year:
MAT224H1/MAT247H1, MAT235Y1/MAT237Y1, MAT246H1, MAT244H1
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,
PSL 431H1, PSL432H1, 433H1
Note: in all programs, higher kevels courses within
the same topic are acceptable substitutions.
Mathematics
and Its Applications (Science program)
Specialist program:
(10.5 - 11.5 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:
CSC 107H1/CSC108H1, MAT135Y1/MAT136Y1/MAT137Y1/MAT157Y1 (MAT137Y1 strongly
recommended), MAT223H1/MAT240H1
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 the 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, 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. CSC207H1,CSC165H1, CSC258H1, CSC209H1; APM461H1, MAT344H1
2. Two of
:APM461H1; CSC350H1, CSC351H1, CSC354H1, 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; please
see the Computer
Science program description.)
Physical Sciences Concentration:
1. PHY
140Y1/(PHY 151H1, 152H1); APM346H1/APM351Y1; AST221H1, AST222H1
2. Two of PHY251H1, PHY252H1, PHY255H1, PHY256H1
3. Two of APM421H1, APM436H1, APM441H1, APM446H1, AST320H1, AST325H1, MAT337H1, PHY307H1, PHY309H1, PHY315H1, PHY351H1, PHY352H1, PHY353H1, PHY355H1, PHY357H1, PHY358H1
Probability/Statistics Concentration:
1. APM346H1/APM351Y1/APM462H1; 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 Professor
R. Jerrard, Associate
Chair,
Department
of Mathematics
Specialist program:
(12 full courses
or their equivalent
including one
full course at the
400-level)
Firtst Year:
ECO100Y1, MAT137Y1, MAT223H1, MAT224H1
Second Year:
ECO206Y1, MAT237Y1, MAT244H1, MAT246H1, STA257H1, STA261H1
Higher Years:
APM346H1, APM462H1, APM466H1, ECO358H1, MAT337H1, STA302H1/ECO327Y1/(375H1, 367H1), STA347H1, STA457H1
Two of: ECO359H1, MAT315H1, 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:
(13
full courses
or their
equivalent including
one full
course at
the 400-level)
First
Year:
MAT157Y1, MAT240H1, MAT247H1; PHL245H1
Higher
Years:
1. PHL245H1 (if
not taken
in First
Year)
2. MAT
257Y1, 327H1, 347Y1, 354H1/357H1
3. PHL346H1/349H1, MAT309H1/PHL344H1/345H1
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(Science
program)
Consult
Professor R.
Jerrard, 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:
MAT157Y1, MAT240H1, MAT247H1; PHY 140Y1/(151H1, 152H1)
Second
Year:
MAT257Y1, MAT267H1; PHY225H1, PHY251H1, PHY252H1, PHY255H1, PHY256H1
Third
Year:
APM351Y1, MAT327H1, MAT354H1, MAT357H1, MAT363H1; PHY351H1, PHY352H1, PHY355H1
Fourth
Year:
APM421H1, APM426H1; PHY457H1; APM446H1/PHY459H1/PHY460H1
Mathematics
and Statistics:
see Statistics
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