Download a PDF of this section: The Faculty of Science Print this page Email this page

Mathematics

The Department of Mathematics offers opportunities for study leading to doctoral, master's, and bachelor's degrees. For information on the Bachelor of Arts in Mathematics, see Arts Mathematics. For information on advanced degrees, see graduate Mathematics.

Students should note that the first digit in the number of a course is intended to convey the level of mathematical maturity at which the course is conducted rather than the year in which it must be taken.

Co-operative Education

Detailed information is available from the Mathematics Department or Co-operative Education.

Major

The Department offers a large selection of courses in various areas of pure and applied mathematics and requiring various levels of mathematical sophistication. The student is advised to consult a Mathematics advisor during the second year or when considering a Major in Mathematics in order to design a coherent program of study suitable to the student's interests and abilities.

Major (0456): Mathematics (MATH)

First Year
Communication Requirement1,2 6
MATH 100 or 102 or 104 (or 120 or 180 or 184)3,4,5 3
MATH 101 or 103 or 105 (or 121)4,5 3
PHYS 101 or 1075,6 3
CPSC 110 or 111 4
Laboratory and physical sciences requirements4,5,7,8 3
BIOL9 3
Electives2,4,5,6,10,11 5
Total Credits5 30
Second Year
MATH 200 (or 226)12 3
MATH 22012 3
MATH 221 (or 223), 21513 6
CPSC 210 or 211 or MATH 210 4,14 3
Electives2,4,5,10,11 15
Total Credits5 30
Third and Fourth Years
MATH courses numbered 300 or higher 24
MATH, STAT, or CPSC courses numbered 300 or higher13 6
Electives2,4,5,10,11 30
Total Credits 60
Total Credits for Degree 120
1 6 credits of coursework are required to meet the Communication Requirement. ENGL 112 is recommended. 3 credits of ENGL 100-level may be deferred until second year. For a full list of acceptable courses see Communication Requirement.
2 SCIE 113 can be used toward the Communication requirement but does not count toward the degree requirement of 18 credits from the Faculty of Arts.
3 See UBC-SFU-UVIC-UNBC Calculus Examination Certificate. Also, MATH 110 may substitute for any of the specified courses by decreasing the electives by 3 credits.
4 If a four-credit choice is used to fulfill a specified three-credit requirement, the extra credit for that course will count towards the elective credits. Students are permitted to move extra elective credits between years.
5 Students who earn more than 30 credits in first year may reduce the number of unrestricted electives taken in later years.
6 Students without credit for Physics 12 must take PHYS 100 before PHYS 101 or PHYS 107. Qualified students are encouraged to take PHYS 107.
7 Students without credit for Chemistry 12 must take CHEM 111.
8 See Lower-Level Requirements for details.
9 Students with credit for Biology 11 or 12 may substitute 3 credits of ASTR, EOSC, or GEOB.
10 Electives must be chosen to ensure that all Faculty of Science requirements are met: a) at least 48 credits must be from courses at the 300-level or above; b) at least 72 credits must be from the Faculty of Science, of which at least 30 credits must be from courses at the 300-level or above; c) at least 18 credits must be from the Faculty of Arts, which may include ENGL credits used to satisfy the Communication requirement; d) 18 credits may be from a faculty other than Science or Arts (optional); e) See footnote 11. See General Degree Requirements.
11 At least 9 credits must be chosen from outside the field of the major, i.e., outside MATH, STAT, and CPSC. See Science, Arts and Breadth Requirements.
12 Students obtaining 68% or higher in MATH 226 may replace MATH 220 with 3 credits of electives. In order to be promoted to third year, students must complete one of MATH 220, 226.
13 MATH 215 may be deferred until third year.
14 MATH 210 may not be offered every year.

Recommendations

The Department makes the following recommendations:

  1. Mathematically able students are encouraged to take the honours stream MATH 120, 121, 223, 226, and 227.
  2. In second year, MATH 221 should be taken in Term 1. It is possible to take (with appropriate prerequisites) some of MATH 307, 308, 312, 317, 340, and MATH/STAT 302 (as well as MATH 300) in the second year.
  3. Students interested in pursuing statistics to some depth should take STAT 200 and MATH/STAT 302 in the second year. This will prepare them for more advanced statistics courses such as STAT 305, 306, 404, and 405.
  4. Major students should consider taking some of MATH 300, 320, 322.
  5. MATH 302 and MATH 307 are courses which are useful in many areas of mathematics.
  6. Students interested in operations research should take MATH 340, 441, 442, and 443. They are also advised to take MATH 303, STAT 305, and 306, and some advanced computer science courses.
  7. Students interested in teaching are advised to take MATH 308, 309, 312, 313, 414, 446.
  8. Students interested in becoming actuaries can make substantial progress toward this career goal while majoring in mathematics or statistics. These students should consult the actuarial advisors in the Mathematics and/or Statistics Departments for detailed advice on course selection and advice on taking the Society of Actuaries' exams.
  9. Students interested in the physical sciences should take MATH 317 which is important for MATH 300, 316.
  10. Students interested in economics should consider taking ECON 420 and 421, and should consult an advisor in the Vancouver School of Economics for other appropriate economics courses. A joint Major in Mathematics and Economics is available. See below.
  11. In selecting electives, students should consider pursuing an area of application of mathematics in some depth. They should also ensure that they fulfil all the graduation requirements of the Faculty of Science.

Major in Mathematical Sciences

The Major in Mathematical Sciences is offered with Departments of Computer Science and Statistics.

Major (0185): Mathematical Sciences (MASC)

First Year
Communication Requirement1,2 6
CPSC 110, 121 8
MATH 100 or 102 or 104 (or 120 or 180 or 184)3,4,5 3
MATH 101 or 103 or 105 (or 121)4,5 3
PHYS 101 or 1076 3
BIOL, ASTR, EOSC, GEOB7 3
Laboratory and physical sciences requirements4,5,6,7,8,9 3
Electives2,3,4,5,6,7,10 1
Total Credits11 30
Second Year
CPSC 210, 213, 22112 12
MATH 200 (or 22613), 221 (or 223) 6
MATH 22013 3
MATH/STAT 302 3
STAT 200 3
Electives2,4,5,10,11 3
Total Credits11 30
Third and Fourth Years
Three courses from CPSC 302, 303, 310, 313, 319, 32012 9
Three courses from MATH 215, 30314, 307, 340 9
Two courses from STAT 305, 306, 404 6
Two additional courses from CPSC 302, 303, 310, 313, 319, 32012, MATH 215, 30314, 307, 340, STAT 305, 306, 404 6
Electives2,4,5,10,11 30
Total Credits 60
Total Credits for Degree 120
1 A total of 6 credits of coursework is required to meet the Communication Requirement. ENGL 112 is recommended. 3 credits of ENGL 100-level may be deferred until second year. For a full list of acceptable courses see Communication Requirement in the Faculty of Science.
2 SCIE 113 may be used toward the Communication Requirement but does not count toward the degree requirement of 18 credits from the Faculty of Arts.
3 See UBC-SFU-UVIC-UNBC Calculus Examination Certificate. Also, MATH 110 may substitute for any of the specified courses by decreasing the electives by 3 credits.
4 If a 4-credit choice is used to fulfill a 3-credit requirement, the extra credit for that course will count towards the electives credits.
5 Students are permitted to move electives credits between years.
6 Students without credit for Physics 12 must take PHYS 100 before PHYS 101 or 107. Qualified students are encouraged to take PHYS 107.
7 Students without credit for Biology 11 or 12 must take 100-level BIOL.
8 Students without credit for Chemistry 12 must take CHEM 111 and one of CHEM 113 or PHYS 102. These students may delay 3 credits of CHEM or PHYS until second year.
9 See Lower-Level Requirements for details.
10 Electives must be chosen to ensure that all Faculty of Science requirements are met. See General Degree Requirements and Science, Arts, and Breadth Requirements in the Faculty of Science.
11 Students who earn more that 30 credits in first year may reduce the number of unrestricted electives taken in later years.
12 Students should note that some CPSC courses have enrolment restrictions. Registration in the specialization does not guarantee access to these courses.
13 Students obtaining 68% or higher in MATH 226 may replace MATH 220 with 3 credits of electives. In order to be promoted to third year, students must complete one of MATH 220, 226.
14 MATH 418 may be substituted for Math 303.

Combined Major (1135): Mathematics and Economics (MATH, ECON)16

First Year
Communication requirement1,2 6
ECON 101, 1023 6
MATH 104 (or one of 100, 102, 120, 180, 184)4,5,6 3
MATH 105 (or one of 101, 103, 121)5,6 3
PHYS 101 or 1076,7 3
CPSC 110 (or 111) 4
Laboratory and physical sciences requirements5,6,8,9 3
Electives2,5,6,7,10 2
Total Credits6 30
Second Year
ECON 200- or 300-level11 6
MATH 200 (or 22612), 215, 22012, 221 (or 223) 12
BIOL13 3
CPSC 210 (or 211) or MATH 21014 3
Electives5,10 6
Total Credits 30
Third and Fourth Years
ECON 301, 302, 325, 326, 49014 15
ECON courses numbered 300 or higher 3
MATH courses numbered 300 or higher15 18
Science courses numbered 300 or higher 12
Electives2,5,6,10 12
Total Credits 60
Total Credits for Degree 120
1 6 credits of course work are required to meet the Communication requirement. ENGL 112 is recommended. 3 credits of ENGL 100-level may be deferred until second year. For a full list of acceptable courses see Communication Requirement.
2 SCIE 113 can be used toward the Communication requirement but does not count toward the degree requirement of 18 credits from the Faculty of Arts.
3 This requirement can also be satisfied by taking ECON 307 and 3 additional credits of economics numbered 300 or above.
4 See UBC-SFU-UVIC-UNBC Calculus Examination Certificate. Also, MATH 110 may substitute for any of the specified courses by decreasing the electives by 3 credits.
5 If a four-credit choice is used to fulfill a specified three-credit requirement, the extra credit for that course will count towards the elective credits. Students are permitted to move extra elective credits between years.
6 Students who earn more than 30 credits in first year may reduce the number of unrestricted electives taken in later years.
7 Students without credit for Physics 12 must take PHYS 100 before PHYS 101 or PHYS 107. Qualified students are encouraged to take PHYS 107.
8 Students without credit for Chemistry 12 must take CHEM 111.
9 See Lower-Level Requirements for details.
10 Electives must be chosen to ensure that all Faculty of Science requirements are met: a) at least 48 credits must be from courses at the 300-level or above ; b) at least 72 credits must be from the Faculty of Science, of which at least 30 credits must be from courses at the 300-level or above; c) at least 18 credits must be from the Faculty of Arts, which may include ENGL credits used to satisfy the Communication requirement; d) 18 credits may be from a faculty other than Science or Arts (optional). See General Degree Requirements.
11 ECON 320 cannot be used to fulfil these requirements.
12 Students obtaining 68% in MATH 226 may replace MATH 220 with 3 credits of electives. In order to be promoted to third year, students must complete one of MATH 220, 226.
13 Students with credit for Biology 11 or 12 may substitute 3 credits of ASTR, EOSC, or GEOB.
14 STAT 200 can substitute for ECON 325.
15 Suitable electives include MATH 302, 303, 320, 321, 402, 403, 418, 419, 443. MATH 320 would be valuable for graduate study in economics.
16 Students interested in the Combined Major must be accepted to the specialization by the Department of Mathematics and the Vancouver School of Economics. To enter the specialization, students apply to be admitted as a major in mathematics for second year by using the on-line process administered by the Faculty of Science and enrol in the courses for the Combined Major for second year. Near the end of second year, continuing students will need to finish the application by contacting the Department of Economics in the Faculty of Arts to apply for the Combined Major for third year.

Combined Major (1429): Computer Science and Mathematics

Students admitted to this program must satisfy the admission and continuation requirements for majors students in both the Department of Mathematics and the Department of Computer Science.

First Year
Communication Requirement1,2 6
CPSC 110 4
CPSC 1213 4
MATH 100 or 102 or 104 (or 120 or 180 or 184)4,5,10 3
MATH 101 or 103 or 105 (or 121)5,10 3
PHYS 101 or 1076 3
Laboratory and physical sciences requirements5,6,7,8,10 3
BIOL, ASTR, EOSC, GEOB9 3
Electives2,3,4,5,6,7,10,11 1
Total Credits12 30
Second Year
CPSC 210 4
CPSC 213, 221 8
MATH 200 (or 22613) 3
MATH 22013 3
MATH 221 (or 223), 21514 6
Electives2,5,10,11,12,15 6
Total Credits12 30
Third and Fourth Years
CPSC 310, 313, 320 10
CPSC 302 or 303 3
One of CPSC 402, 403, 406, 420, 421 3
CPSC courses numbered 300 or higher 3
CPSC courses numbered 400 or higher 3
MATH courses numbered 300 or higher 21
Electives2,5,10,11,12,15 17
Total Credits12 60
Total Credits for Degree 120
1 A total of 6 credits of coursework is required to meet the Communication Requirement. ENGL 112 is recommended. 3 credits of ENGL 100-level may be deferred until second year. For a full list of acceptable courses see Communication Requirement in the Faculty of Science.
2 SCIE 113 may be used toward the Communication Requirement but does not count toward the degree requirement of 18 credits from the Faculty of Arts.
3 Students pursuing a Co-op option are advised to add CPSC 210 to their course selections in first year.
4 See UBC-SFU-UVIC-UNBC Calculus Examination Certificate. Also, MATH 110 may substitute for any of the specified courses by decreasing the electives by 3 credits.
5 If a 4-credit choice is used to fulfill a specified 3-credit requirement, the extra credit for that course will count towards the electives credits.
6 Students without credit for Physics 12 mus take PHYS 100 before PHYS 107 (or 101).
7 Students without credit for Chemistry 12 must take CHEM 111 and one of CHEM 113 and PHYS 102. These students may delay 3 credits of CHEM or PHYS until second year.
8 See Lower-Level Requirements for details.
9 Students without credit for Biology 11 or 12 must take 100-level BIOL.
10 Students are permitted to move electives credits between years.
11 Electives must be chosen to ensure that all Faculty of Science requirements are met, including the Arts Requirement, Breadth Requirement, and Upper-Level Requirement. See General Degree Requirements in the Faculty of Science and Science, Arts, and Breadth Requirements in the Faculty of Science.
12 Students who earn more than 30 credits in first year may reduce the number of unrestricted electives taken in later years.
13 Students obtaining 68% or higher in MATH 226 may replace MATH 220 with 3 credits of electives. In order to be promoted to third year, students must complete one of MATH 220, 226.
14 MATH 215 may be deferred until third year.
15 STAT 200 is recommended.

Dual Degree Program in Mathematics and Education

The Dual Degree program in Mathematics and Education offers qualified students the opportunity to earn a B.Sc. degree in Mathematics (Major) and a B.Ed. degree in Secondary Education, in five winter sessions with some academic requirements in Term 1 of the Summer sessions. After completing all the requirements, students are normally eligible for a British Columbia Professional Teaching Certificate. Admission to the Dual Degree program requires application in the fall of second year and successful completion of a teaching practicum at the end of second year. See the Dual Degree Program in Science and Education for more information on admission and continuation requirements.

Dual Degree Program: B.Sc. (Mathematics), B.Ed. (Secondary)

First Year (Winter)
Communication Requirement1,2 6
CPSC 110 4
MATH 100 or 102 or 104 (or 120 or 180 or 184)3,4,5 3
MATH 101 or 103 or 105 (or 121)4,5 3
PHYS 101 or 1076 3
Laboratory and physical sciences requirements6,7,8 3
BIOL, ASTR, EOSC, GEOB9 3
Electives2,4,5,10,11 5
Total Credits5 30
Second Year (Winter)
MATH 200 (or 226)12 3
MATH 22012 3
MATH 221 (or 223), 21513 6
CPSC 210 or MATH 2104,14 3
Electives2,4,5,10,11 15
Total Credits1,5 30
Second Year (Summer)
EDUC 31915 1
Total Credits 1
Third Year (Winter)
EDST 403 1
EDST 401 2
LLED 360 3
MATH courses numbered 300 or higher16 15
Electives2,4,5,10,11 9
Total Credits 30
Third Year (Summer)
EDUC 39915 1
Total Credits 1
Fourth Year (Winter)
EDCP 342 3
EPSE 308 3
EDCP 441 3
MATH 414 3
MATH courses numbered 300 or higher16 3
MATH, STAT, or CPSC courses numbered 300 or higher 6
Electives2,4,5,10,11 9
Total Credits 30
Fourth Year (Summer)
LLED 361 3
EPSE 317 3
EDST 402 1
EDST 404 1
EDUC 440 3
Electives2,4,5,10,11 3
Total Credits 14
Fifth Year (Winter)17
EDUC 315 2
EDUC 421 12
EDUC 450 3
EDUC 451 3
EPSE 310 2
EPSE 311 1
MATH courses numbered 300 or higher16 3
Electives2,4,5,10,11 3
Total Credits 29
Fifth Year (Summer)
EDUC 452 3
Total Credits 3
Total Credits for Dual Degree 168
1 A total of 6 credits of coursework is required to meet the Communication Requirement. ENGL 112 is recommended. Three credits of ENGL 100-level may be deferred until second year. For a full list of acceptable courses see Communication Requirement.
2 The Faculty of Education does not accept SCIE 113 or APSC 176 to meet their English requirement, but they do accept ASTU 100, ASTU 150, WRDS 150 to be equivalent to ENGL 112. However students are required to take a minimum of 3 credits of literature coursework from ENGL 100, 110, 111, 120, 121. Some of the acceptable courses are not available for students enrolled in the Faculty of Science but might have already been taken by students that transferred to the Faculty of Science.
3 See UBC-SFU-UVIC-UNBC Calculus Examination Certificate. Also, MATH 110 may substitute for any of the specified courses by decreasing the electives by 3 credits.
4 A 4-credit course may substitute for a 3-credit course to satisfy a specified requirement by decreasing the electives in any year by 1 credit.
5 Students who earn more than 30 credits in first year may reduce the number of unrestricted electives taken in later years. MATH 110 may substitute for the 100-level differential calculus requirement by decreasing the electives in any year by 3 credits.
6 Students without credit for Physics 12 must take PHYS 100 before PHYS 101 or 107. Qualified students are encouraged to take PHYS 107.
7 Students without credit for Chemistry 12 must take CHEM 111.
8 See Lower-Level Requirements for details.
9 Students without credit for Biology 11 or 12 must take 100-level BIOL.
10 Electives must be chosen to ensure that all Faculty of Science requirements are met: a) sufficient Science credits; b) sufficient upper-level credits; c) sufficient credits from the Faculty of Arts, excluding Arts credits used to satisfy the Communication Requirement; d) see footnote 11. See General Degree Requirements.
11 At least 9 credits must be chosen from outside the field of the major, i.e., outside MATH, STAT, and CPSC. See Science, Arts, and Breadth Requirements.
12 Students obtaining 68% or higher in MATH 226 may replace MATH 220 with 3 credits of electives. In order to be promoted to third year, students must complete one of MATH 220, 226.
13 MATH 215 may be deferred until third year.
14 MATH 210 may not be offered every year.
15 EDUC 319 and EDUC 399 are one-week and two-week teaching practica respectively during the month of May in Year 2 and Year 3. Successful completion of EDUC 319 and EDUC 399 are normally required to continue the B.Ed. program.
16 Must fulfil Faculty of Education breadth requirements (MATH 308, 309, 312, 313, 446 recommended).
17 Note that in fifth year, only Term 1 is available for non-education courses because Term 2 includes education courses that preclude time for other courses.

Honours

Students planning to take a Bachelor of Science with Honours in Mathematics, or in Mathematics combined with another subject, should note the following:

  1. To be admitted into an Honours Mathematics specialization, a student must obtain at least 68% in MATH 121 or average at least 80% in 6 credits of 100-level MATH courses. Honours degree candidates are expected to maintain an overall 68% average, complete all courses attempted, and complete at least 30 credits in every winter session.
  2. The courses MATH 120, 121, 223, 226, and 227 provide a firmer foundation for advanced study than the alternatives shown in parentheses.
  3. Students are encouraged to choose electives that result in studying another subject to substantial depth.
  4. For students who plan to work in mathematics, study in French, German, or Russian is recommended.

Honours (0166): Mathematics (MATH)

First Year
Communication Requirement1,2 6
MATH 120 (or 100 or 102 or 104 or 180 or 184)3,4 4
MATH 121 (or 101 or 103 or 105)4 4
PHYS 107 (or 101)5 3
CPSC 110 4
Laboratory and physical sciences requirements5,6,7 4
BIOL, ASTR, EOSC, or GEOB8 3
Electives2,4,5,7,9,10 5
Total Credits11 33
Second Year
MATH 223 (or 221) 3
MATH 226 (or 200) 12 3
MATH 227 (or 317) 3
MATH 21513 3
CPSC 210 or MATH 2104,14 4
Electives9 17
Total Credits11 33
Third and Fourth Years
MATH 300, 320, 321, 322, 323 15
15 credits from MATH 400-406, 412, 416-429, 433-440, 443, 449, 450 15
Mathematics courses numbered 300 or higher 9
Electives 27
Total Credits11 66
Total Credits for Degree 132
1 6 credits of course work are required to meet the Communication Requirement. ENGL 112 is recommended. 3 credits of ENGL 100-level may be deferred until second year. For a full list of acceptable courses see Communication Requirement in Faculty of Science.
2 SCIE 113 may be used toward the Communication Requirement but does not count toward the degree requirement of 18 credits from the Faculty of Arts.
3 See UBC-SFU-UVIC-UNBC Calculus Examination Certificate. Also, MATH 110 may substitute for any of the specified courses by decreasing the electives by 3 credits.
4 If any 3-credit MATH course is taken in place of a 4-credit course, the missing credit must be made up as electives.
5 Students without credit for Physics 12 must take PHYS 100 in addition to any PHYS course(s) that may be taken to satisfy the Lower-Level Requirements.
6 See Lower-Level Requirements for details.
7 Students without credit for Chemistry 12 must take CHEM 111 in addition to any CHEM course(s) that may be taken to satisfy the lower-level requirements.
8 Students without credit for Biology 11 or 12 must take 100-level BIOL.
9 Students are permitted to move extra electives credits between years.
10 Electives must be chosen to ensure that all Faculty of Science requirements are met: see General Degree Requirements and Science, Arts, and Breadth Requirements in Faculty of Science.
11 Honours specializations require a minimum overall 68% average in each academic session, the completion of all attempted courses, and at least 30 credits in each Winter Session. See Introduction to Degree Options in the Faculty of Science for details.
12 Students who take MATH 200 or who obtain less than 68% in MATH 226 must take MATH 220 and obtain 80% or higher in order to take the required course MATH 320.
13 MATH 215 may be deferred until third year.
14 MATH 210 may not be offered every year.

Combined Honours (0206): Chemistry and Mathematics

See Chemistry.

Combined Honours (0021): Computer Science and Mathematics

See Computer Science.

Combined Honours (0014): Physics and Mathematics

See Physics.

Combined Honours (0550): Mathematics and Statistics

See Statistics.

Combined Honours: Mathematics (MATH) with Another Subject

First Year
Same as Mathematics Honours.
Second Year
Same as Mathematics Honours.
Third and Fourth Years
MATH 320, 321 6
9 credits from MATH 300, 301, 316, 322, 323, 331 9
12 credits from MATH 400-406, 412, 416-429, 433-440, 443, 449, 450 12
Electives1 39
Total Credits2 66
Total Credits for Degree 132
1 Including courses as specified by the other department, but not exceeding 30 credits in third and fourth year.
2 Honours programs require a minimum overall 68% average in each academic session, the completion of all attempted courses, and at least 30 credits in each Winter Session. Details are given at Introduction to Degree Options in Faculty of Science.

a place of mind, The University of British Columbia

Student Services
Vancouver Campus
1874 East Mall
Vancouver, BC Canada V6T 1Z1

Emergency Procedures | Accessibility | Contact UBC | © Copyright The University of British Columbia