2003-2004
Undergraduate
Calendar
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Faculty of Arts |
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Faculty of Education |
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Faculty
of Environmental Studies |
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Faculty
of Fine Arts |
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Faculty
of Pure and Applied Science |
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Atkinson Faculty of Liberal
and Professional Studies |
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Osgoode Hall Law School |
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Schulich School of Business
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Courses
of Instruction |
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Glendon
College |
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Mathematics and Statistics
The Department of Mathematics and Statistics
offers BSc and BSc Honours degree programs in four subject areas:
The BSc and BSc Honours degree programs in each
subject area are listed separately below. A student should choose
one of these subject areas based on interest and employment goals,
but it is possible to change subject areas provided the requirements
of the desired subject area can be met.
i) All BSc and BSc Honours degree candidates
must complete a program core (see program specifications below).
ii) All BSc and BSc Honours degree candidates
must comply with general regulation 4 (see the Faculty of Pure
and Applied Science Regulations Governing Undergraduate Degree
Requirements section of this Calendar) by completing the following
(in addition to the 1000-level COSC and MATH requirements specified
for their program):
- 12 credits from SC/BIOL 1010 6.0 or SC/BIOL
1410 6.0, SC/CHEM 1000 3.0 and SC/CHEM 1001 3.0, SC/EATS 1010
3.0 and SC/EATS 1011 3.0, SC/ MATH 2041 3.0 and SC/MATH 2042
3.0, SC/PHYS 1410 6.0 or SC/PHYS 1010 6.0;
- additional 1000-level science credits (excluding
SC/CHEM 1500 4.0, SC/MATH 1510 6.0, SC/MATH 1515 3.0, SC/PHYS
1510 4.0 and all natural science courses) - as required for a
total of at least 24 1000-level science credits;
- 12 general education credits (see General
Education Requirements in the Faculty of Pure and Applied Science
Regulations Governing Undergraduate Degree Requirements section
of this Calendar).
iii) All BSc and BSc Honours degree candidates,
in accordance with their declared programs, must comply with general
regulation 5 or 6 (see the Faculty of Pure and Applied Science
Regulations Governing Undergraduate Degree Requirements section
of this Calendar) and, in so doing, must satisfy the course, credit
and standing requirements specified below.
Bachelor Programs
To Graduate in a Bachelor Program. For
students admitted to York University for 2001-2002 and subsequent
years, the Senate of York University requires a minimum overall
grade point average of 4.0 (C) in order to be eligible to graduate
with a BSc degree (bachelor program).
Honours Programs
To declare Honours requires successful completion
of at least 24 credits and a minimum cumulative credit-weighted
grade point average of 5.0 (C+) over all courses completed, subject
to the exceptions in the notes below.
To proceed in each year of an Honours program
requires a minimum cumulative credit-weighted grade point average
of 5.0 (C+) over all courses completed, subject to the exceptions
in the notes below.
To graduate in an Honours program requires successful
completion of all Faculty requirements and departmental required
courses and a minimum cumulative credit-weighted grade point average
of 5.0 (C+) over all courses completed, subject to the exceptions
in the notes below.
Notes:
1. In addition, a minimum cumulative credit-weighted
grade point average of 6.0 (B) over all science (SC) courses completed
is required to declare, proceed and graduate in (i) the Honours
Double Major program where biology is the other major, and (ii)
the Honours Major/Minor program where biology is the major. (The
minimum 6.0 (B) science grade point average is not required where
biology is the minor.)
2. Students admitted to York University prior
to 1999-2000 may declare Honours and proceed and graduate in Honours
programs according to the academic standards of the year in which
they were admitted.
Additional Notes:
1. For the purpose of satisfying departmental
degree requirements, the following minimum numbers of credits must
be completed within the Department of Mathematics and Statistics:
18 for the bachelor program, 21 for the Honours Double Major program,
30 for the Specialized Honours program.
2. For BA and BA Honours degree programs in
mathematics and statistics, see the Faculty of Arts Programs of
Study section of this Calendar.
I. Applied Mathematics Programs
All BSc and BSc Honours degree candidates must
complete the program core: SC/COSC 1540 3.0 or SC/COSC 2031 3.0;
SC/MATH 1013 3.0; SC/MATH 1014 3.0; SC/MATH1016 1.0; SC/MATH 1017
1.0; SC/MATH 1021 3.0; SC/MATH 2015 3.0; SC/MATH 2018 1.0; SC/MATH
2041 3.0; SC/MATH 2270 3.0; SC/MATH 3241 3.0.
In addition, all degree candidates must select
a number of credits (depending on their program) from SC/ MATH
courses without second digit 5 at the 3000 level or higher.
Bachelor Program
- the program core;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- one of SC/MATH 2022 3.0, SC/MATH 2030 3.0,
SC/MATH 2222 3.0, SC/MATH 2320 3.0;
- at least 12 credits selected from SC/MATH
courses without second digit 5 at the 3000 level or higher, for
an overall total of at least 39 credits from major SC/MATH courses;
- additional elective credits, as required
for an overall total of at least 90 credits, including at least
66 credits from science courses and at least 18 credits at the
3000 or higher level.
Specialized Honours Program
- the program core;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- SC/MATH 2022 3.0; SC/MATH 2030 3.0;
- SC/MATH 3110 3.0; SC/MATH 3210 3.0; SC/MATH
3242 3.0; SC/MATH 3410 3.0;
- at least 21 additional credits selected from
SC/MATH courses without second digit 5 at the 3000 level or higher
(these 21 credits must include SC/MATH 3260 3.0 or SC/MATH 3170
6.0, and at least 12 credits at the 4000 level), for an overall
total of at least 63 credits from major SC/MATH courses;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level
Honours Double Major and Honours Major/Minor
Programs
An Honours Major in applied mathematics may
be combined with an Honours Major in another subject area in a
BSc Honours Double Major degree program or with an Honours Minor
in another subject area in a BSc Honours Major/Minor degree program.
Possible subject combinations are listed under Undergraduate Degree
Programs in the Faculty of Pure and Applied Science Undergraduate
Degree and Certificate Programs section of this Calendar.
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above and including courses appropriate for the second major
or the minor;
- the applied mathematics Honours Major requirements
below;
- the course requirements for the second major
or the minor;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level.
Honours Major
- the program core;
- SC/MATH 3242 3.0 or SC/MATH 3170 6.0;
- 12 credits at the 4000 level, selected from
SC/MATH courses without second digit 5, for an overall total
of at least 39 credits from major SC/MATH courses.
Honours Minor
- SC/COSC 1540 3.0;
- SC/MATH 1013 3.0; SC/MATH 1014 3.0; SC/MATH
1021 3.0;
- SC/MATH 2015 3.0; two of SC/MATH 2041 3.0,
SC/MATH 2222 3.0 (or SC/MATH 2022 3.0), SC/MATH 2270 3.0;
- at least nine more credits, including at
least one of SC/MATH 3170 6.0 or SC/MATH 3241 3.0 or SC/MATH
3260 3.0, and the remaining credits from SC/MATH courses without
second digit 5 at the 3000 level or higher, for an overall total
of at least 27 credits from major SC/MATH courses.
II. Computational Mathematics
Program
Specialized Honours Program
- SC/COSC 1020 3.0; SC/COSC 1030 3.0; SC/COSC
2031 3.0; SC/COSC 2041 3.0
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- SC/MATH 1013 3.0; SC/MATH 1014 3.0; SC/MATH
2015 3.0 or approved equivalents
- SC/MATH 1021 3.0; SC/MATH 2022 3.0;
- SC/MATH 2030 3.0; SC/MATH1131 3.0;
- SC/MATH 1016 1.0; SC/MATH 1017 1.0; SC/MATH
2018 1.0; or SC/MATH 2131 3.0; SC/MATH 1190 3.0
- SC/MATH 3090 3.0; SC/MATH4090 3.0;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level.
In addition, students must choose from one of
three areas of concentration, and in each case complete the courses
listed:
Applied and Industrial Mathematics
- SC/MATH 2270 3.0; SC/MATH 2042 3.0; SC/MATH 3241 3.0; SC/MATH
3242 3.0; SC/MATH 4141 3.0; SC/MATH 4142 3.0.
Financial Mathematics
- SC/MATH 2280 3.0; SC/MATH 3170 6.0;
- AS/ECON 1000 3.0; AS/ECON 1010 3.0;
- three credits from 4000 level SC/MATH courses
in financial mathematics.
Actuarial Mathematics
- SC/MATH 2280 3.0; SC/MATH 3280 3.0; SC/MATH 3033 3.0; SC/MATH
4280 3.0; SC/MATH 4430 3.0; SC/MATH 4431 3.0; three credits from
4000- level SC/MATH courses in financial mathematics.
III. Mathematics Programs
Bachelor Program
- SC/COSC 1520 3.0; SC/COSC 1530 3.0 or SC/MATH
2041 3.0; or equivalents;
- SC/MATH 1021 3.0; SC/MATH 1300 3.0 and SC/MATH
1310 3.0, or equivalents;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- SC/MATH 1090 3.0 or SC/MATH 1190 3.0 or SC/MATH
2090 3.0 or SC/MATH 2320 3.0;
- SC/MATH 2022 3.0; SC/MATH 2310 3.0;
- at least 12 credits from major (i.e. without
second digit 5) SC/MATH courses, or approved or equivalent courses,
at the 3000 level or higher, for a total of at least 30 credits
from major SC/MATH courses;
- additional elective credits, as required
for an overall total of at least 90 credits, including at least
66 credits from science courses and at least 18 credits at the
3000 or higher level.
Note: Mathematics Honours core courses SC/MATH
1000 3.0, SC/MATH 1010 3.0 may replace SC/MATH 1300 3.0, SC/MATH
1310 3.0 respectively.
Honours Programs
Mathematics Honours Core
The core courses below are required in all Honours
mathematics programs:
- SC/MATH 1000 3.0; SC/MATH 1010 3.0;
- SC/MATH 1021 3.0; SC/MATH 2022 3.0;
- SC/MATH 1090 3.0 or SC/MATH 1190 3.0 or SC/MATH
2090 3.0 or SC/MATH 2320 3.0;
- SC/MATH 2310 3.0; SC/MATH 3010 3.0;
- SC/MATH 3020 6.0, or both SC/MATH 3131 3.0
and SC/MATH 3132 3.0;
- SC/MATH 3210 3.0;
- six credits from SC/MATH 4000 3.0/4000 6.0
(projects in pure mathematics), SC/MATH 4010 6.0, SC/MATH 4020
6.0, SC/MATH 4030 3.0, SC/MATH 4080 6.0, SC/MATH 4110 3.0, SC/MATH
4120 3.0, SC/MATH 4130 3.0, SC/MATH 4140 3.0, SC/MATH 4150 3.0,
SC/MATH 4160 3.0, SC/MATH 4170 6.0, SC/MATH 4230 3.0, SC/MATH
4250 6.0, SC/MATH 4280 3.0, SC/MATH 4290 3.0, SC/MATH 4430 3.0,
SC/MATH 4630 3.0, SC/MATH 4730 3.0.
Note: Students may substitute non-Honours versions
of the sequence SC/MATH 1000/1010, but any student who does not
complete SC/MATH 1010 3.0 must take SC/MATH 3110 3.0 above and
beyond the normal Honours requirements. If one or more of SC/MATH
1021 3.0 or SC/MATH 2022 3.0 is replaced by other linear algebra
courses and if the grades obtained were less than A, then SC/MATH
2090 3.0 or SC/MATH 2320 3.0 must be taken above and beyond the
normal Honours requirements.
Specialized Honours Program
- the mathematics Honours core;
- SC/COSC 1520 3.0; SC/COSC 1530 3.0 or SC/MATH
2041 3.0; or equivalents;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- at least six additional credits from major
SC/MATH courses at the 4000 level (these must include either
SC/MATH 4010 6.0 or SC/MATH 4020 6.0 if neither was taken as
part of the mathematics Honours core);
- at least 24 additional credits from major
(i.e. without second digit 5) SC/MATH courses, or approved or
equivalent courses, for a total of at least 66 credits from major
SC/MATH courses;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level.
Honours Double Major and Honours Major/Minor
Programs
An Honours Major in mathematics may be combined
with an Honours Major in another subject area in a BSc Honours
Double Major degree program or with an Honours Minor in another
subject area in a BSc Honours Major/Minor degree program. Possible
subject combinations are listed under Undergraduate Degree Programs
in the Faculty of Pure and Applied Science Undergraduate Degree
and Certificate Programs section of this Calendar.
- SC/COSC 1520 3.0; SC/COSC 1530 3.0 or SC/MATH
2041 3.0; or equivalents;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above and including courses appropriate for the second major
or the minor;
- the mathematics Honours Major requirements
below;
- the course requirements for the second major
or the minor;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90* credits from science courses and at least 42 credits at the
3000 or higher level.
* or at least 66 credits from science courses
if the minor is in a fine arts subject area
Honours Major
- the mathematics Honours core;
- at least six additional major (i.e. without
second digit 5) SC/MATH credits at the 4000 level, for a total
of at least 42 credits from major SC/MATH courses.
Honours Minor
- SC/MATH 1300 3.0; SC/MATH 1310 3.0;
- SC/MATH 1021 3.0; SC/MATH 2022 3.0;
- SC/MATH 1090 3.0 or SC/MATH 1190 3.0 or SC/MATH
2090 3.0 or SC/MATH 2320 3.0;
- SC/MATH 2310 3.0;
- at least 12 credits from major (i.e. without
second digit 5) SC/MATH courses, or approved or equivalent courses,
at the 3000 or higher level, for an overall total of at least
30 SC/MATH credits.
Note: Mathematics Honours core courses SC/MATH
1000 3.0 and SC/MATH 1010 3.0 may replace SC/MATH 1300 3.0 and
SC/MATH 1310 3.0 respectively.
IV. Statistics Programs
Bachelor Program
- SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or
SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or
equivalents;
- six credits from 1000-level major (i.e. without
second digit 5) SC/MATH courses in calculus;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
- SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH
2131 3.0;
- SC/MATH 2310 3.0 or SC/MATH 2015 3.0
- SC/MATH 3033 3.0 or SC/MATH 3330 3.0; SC/MATH
3131 3.0;
- at least three additional credits from 3000-
or 4000-level SC/MATH courses with third digit 3 for a total
of at least 33 credits from major SC/MATH courses;
- additional elective credits, as required
for an overall total of at least 90 credits, including at least
66 credits from science courses and at least 18 credits at the
3000 or higher level.
*Note: SC/MATH 1025 3.0, SC/MATH 2221 3.0 and
SC/MATH 2222 3.0 will be accepted in this program, but are not
recommended.
Specialized Honours Program
- SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or
SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or
equivalents;
- SC/MATH 1000 3.0; SC/MATH 1010 3.0; SC/MATH
1021 3.0; SC/MATH 1131 3.0;
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above;
- SC/MATH 2022 3.0; SC/MATH 2310 3.0
- SC/MATH 2030 3.0; SC/MATH 2131 3.0;
- SC/MATH 3010 3.0; SC/MATH 3210 3.0;
- SC/MATH 3033 3.0 or SC/MATH 3330 3.0; SC/MATH
3034 3.0; SC/MATH 3131 3.0; SC/MATH 3132 3.0; SC/MATH 3430 3.0;
- 12 credits from 4000-level SC/MATH courses
with third digit 3;
- nine additional credits from major (second
digit not 5) SC/MATH courses, for a total of at least 66 credits
from major SC/MATH courses;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level.
Honours Double Major Program
An Honours Major in statistics may be combined
with an Honours Major in another subject area in a BSc Honours
Double Major degree program. Possible subject combinations are
listed under Undergraduate Degree Programs in the Faculty of Pure
and Applied Science Undergraduate Degree and Certificate Programs
section of this Calendar.
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above and including courses appropriate for the second major;
- the statistics Honours Major requirements
(for BSc Honours Double Major programs) below;
- the course requirements for the second major;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level.
Honours Major (for BSc Honours Double Major
Programs)
- SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or
SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or
equivalents;
- six credits from 1000-level major (i.e. without
second digit 5) SC/MATH courses in calculus;
- SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
- SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH
2131 3.0;
- SC/MATH 2015 3.0, or SC/MATH 2310 3.0;
- SC/MATH 3033 3.0 or SC/MATH 3330 3.0; SC/MATH
3131 3.0;
- nine additional credits from 3000- or 4000-level
SC/MATH courses with third digit 3 for an overall total of at
least 39 credits from major SC/MATH courses.
*Note: SC/MATH 1025 3.0, SC/MATH 2221 3.0 and
SC/MATH 2222 3.0 will be accepted in this program, but are not
recommended.
Honours Major/Minor Programs
An Honours Major in Statistics may be combined
with an Honours Minor in another subject area in a BSc Honours
Major/Minor degree program. Possible subject combinations are listed
under Undergraduate Degree Programs in the Faculty of Pure and
Applied Science Undergraduate Degree and Certificate Programs section
of this Calendar.
- the Faculty of Pure and Applied Science general
education and 1000-level science requirements, as specified in
ii) above and including courses appropriate for the minor;
- the statistics Honours Major requirements
(for BSc Honours Major/Minor programs) below;
- the course requirements for the minor;
- additional elective credits, as required
for an overall total of at least 120 credits, including at least
90 credits from science courses and at least 42 credits at the
3000 or higher level.
Honours Major (for BSc Honours Major/Minor
Programs)
- SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or
SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or
equivalents;
- SC/MATH 1000 3.0*; SC/MATH 1010 3.0*;
- SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
- SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH
2131 3.0;
- SC/MATH 2015 3.0 or SC/MATH 2310 3.0;
- SC/MATH 3033 3.0 or SC/MATH 3330 3.0; one
of SC/MATH 3034 3.0 or SC/MATH 3430 3.0;
- SC/MATH 3131 3.0; SC/MATH 3132 3.0;
- 12 credits from 4000-level SC/MATH courses
with third digit 3, for an overall total of at least 48 credits
from major SC/MATH courses.
*Note: For calculus and linear algebra, the
courses SC/MATH 1013 3.0, SC/MATH 1014 3.0, SC/MATH 1300 3.0, SC/MATH
1310 3.0, SC/MATH 1025 3.0, SC/MATH 2221 3.0 and SC/MATH 2222 3.0
will be accepted in this program, but are not recommended.
Honours Minor
- first-year calculus (six credits at the 1000
level without second digit 5);
- SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
- SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH
2131 3.0;
- nine additional credits from 2000- or higher-level
SC/MATH courses with third digit 3, for an overall total of at
least 30 SC/MATH credits.
* Note: SC/MATH 1025 3.0, SC/MATH 2221 3.0 and
SC/MATH 2222 3.0 will be accepted in this program, but are not
recommended.
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