Mathematics and Statistics - Science and Engineering |
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The Department of Mathematics and Statistics offers BA, Honours BA, BSc and Honours BSc degree programs in seven subject areas. Students in the BSc and Honours BSc programs must take courses in laboratory sciences.
- applied mathematics
- computational mathematics (Honours BSc only)
- mathematics
- mathematics for commerce (BA and Honours BA only)
- mathematics for education
- statistics
- international dual degree program (mathematics and statistics) (BSc and Honours BSc only)
The 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.
All Honours degree candidates must complete the mathematics/statistics core: SC/MATH 1021 3.00; SC/MATH 1131 3.00; SC/MATH 1200 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00; SC/MATH 2022 3.00; SC/MATH 2030 3.00; SC/MATH 2310 3.00 (refer to program specifications below).
Bachelor of Arts
All BA and Honours BA degree candidates must comply with the general education requirement: 24 credits from humanities, modes of reasoning, natural science and social science (refer to the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section).
All BA and Honours BA degree candidates, in accordance with their declared programs, must comply with general regulation 5 or 6 (refer to the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section) and, in so doing, must also satisfy the course, credit and standing requirements specified below.
Bachelor of Arts Program (BA)
To graduate in a bachelor program. A minimum cumulative overall grade point average of 4.00 (C) is required in order to be eligible to graduate with a BA degree (bachelor program).
Bachelor of Arts Honours Programs (Honours BA)
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 5.00 (C+) over all courses completed.
Applied Mathematics BA Programs
Bachelor Program (BA)
Specialized Honours BA Program
- The mathematics/statistics core;
- SC/CSE 1560 3.00;
- SC/MATH 2001 3.00; SC/MATH 2041 3.00; SC/MATH 2270 3.00;
- SC/MATH 3001 3.00; SC/MATH 3241 3.00; SC/MATH 3242 3.00; SC/MATH 3410 3.00;
- SC/MATH 3260 3.00 or SC/MATH 3170 6.00;
- at least 12 additional credits selected from mathematics courses without second digit 5 at the 4000 level, for an overall total of at least 60 credits from major mathematics courses;
- additional elective credits, as required for an overall total of at least 120 credits, of which at least 36 credits are at the 3000 level or higher, at least 18 of which must be at the 4000 level.
The Honours Major in applied mathematics may be taken standalone or combined with an Honours Major in another subject area in an Honours Double Major BA or with an Honours Minor in another subject area in an Honours Major/Minor BA program. The double major or major/minor BA may be taken with approved major degree programs in the Faculties of Environmental Studies, Fine Arts, Health, Liberal Arts and Professional Studies or Science and Engineering. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
- 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, of which at least 36 credits are at the 3000 level or higher, at least 18 of which must be at the 4000 level.
Honours Major BA Program
- The mathematics/statistics core;
- SC/CSE 1560 3.00;
- SC/MATH 2041 3.00; SC/MATH 2270 3.00;
- SC/MATH 3241 3.00; one of SC/MATH 3242 3.00 or SC/MATH 3260 3.00 or SC/MATH 3170 6.00;
- 12 credits at the 4000 level, selected from mathematics courses without second digit 5, for an overall total of at least 48 credits from major mathematics courses.
Honours Minor BA Program
The Honours Minor in applied mathematics consists of:
- SCCSE 1560 3.00;
- SC/MATH 1021 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- SC/MATH 2310 3.00;
- six credits chosen from the following: SC/MATH 2041 3.00, SC/MATH 2270 3.00, either SC/MATH 2022 3.00 or SC/MATH 2222 3.00;
- at least 12 additional credits from mathematics courses without second digit 5 at the 3000 level or higher, including at least one of SC/MATH 3170 6.00 or SC/MATH 3241 3.00 or SC/MATH 3260 3.00.
Mathematics BA Programs
Bachelor Program (BA)
- SC/CSE 1560 3.00;
- SC/MATH 1300 3.00 or equivalent; SC/MATH 1310 3.00 or equivalent; SC/MATH 1021 3.00 or equivalent;
- three credits chosen from: SC/MATH 1019 3.00, SC/MATH 1090 3.00, SC/MATH 1190 3.00, SC/MATH 1200 3.00, SC/MATH 2030 3.00 or SC/MATH 2320 3.00;
- SC/MATH 2022 3.00 or equivalent; SC/MATH 2310 3.00;
- 12 additional credits in mathematics courses without second digit 5 at the 3000 level or higher, for an overall total of at least 30 credits in major mathematics courses;
- additional elective credits, as required for an overall total of at least 90 credits, of which at least 18 credits are at the 3000 level or higher, including at least 12 credits in the major.
Note: students who have taken SC/MATH 1530 3.00 and SC/MATH 1540 3.00 or SC/MATH 1550 6.00 may not take SC/MATH 1300 3.00, but will be considered to have credit for SC/MATH 1300 3.00 and may take SC/MATH 1310 3.00.
Specialized Honours BA Program
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2001 3.00;
- SC/MATH 3001 3.00; SC/MATH 3010 3.00; either SC/MATH 3020 6.00 or both SC/MATH 3131 3.00 and SC/MATH 3132 3.00;
- six credits chosen from the following: SC/MATH 4000 3.00, SC/MATH 4000 6.00 (projects in pure mathematics), SC/MATH 4001 6.00, SC/MATH 4020 6.00, SC/MATH 4030 3.00, SC/MATH 4080 6.00, SC/MATH 4110 3.00, SC/MATH 4120 3.00, SC/MATH 4130 3.00, SC/MATH 4140 3.00, SC/MATH 4150 3.00, SC/MATH 4160 3.00, SC/MATH 4170 6.00, SC/MATH 4210 3.00, SC/MATH 4230 3.00, SC/MATH 4250 6.00, SC/MATH 4280 3.00, SC/MATH 4290 3.00, SC/MATH 4300 3.00, SC/MATH 4300 6.00, SC/MATH 4430 3.00, SC/MATH 4431 3.00, SC/MATH 4630 3.00, SC/MATH 4730 3.00;
- at least six additional credits in mathematics courses without second digit 5 at the 4000 level (these must include either SC/MATH 4001 6.00 or SC/MATH 4020 6.00 if neither was taken above);
- and 15 additional credits in mathematics courses without second digit 5 for a total of at least 66 credits from major mathematics;
- additional elective credits, as required for an overall total of at least 120 credits, of which at least 36 credits are at the 3000 level or higher, at least 18 of which must be at the 4000 level.
Honours Major, Honours Double Major and Honours Major/Minor BA Program
The Honours Major in mathematics may be taken standalone or combined with an Honours Major in another subject area in a Honours Double Major BA or with an Honours Minor in another subject area in a Honours Major/Minor BA program. The double major or major/minor may be taken with approved major degree programs in the Faculties of Environmental Studies, Fine Arts, Health, Liberal Arts and Professional Studies or Science and Engineering. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
The Honours BA program in Mathematics may be linked with any Honours Double Major Interdisciplinary BA program in the Faculty of Liberal Arts and Professional Studies. These are: African studies, European studies, Latin American and Caribbean studies, social and political thought, South Asian studies. Students must take at least 42 credits in mathematics and at least 36 credits in the interdisciplinary program. Courses taken to meet mathematics requirements cannot also be used to meet the requirements of the interdisciplinary program. Students in these interdisciplinary programs must take a total of at least 18 credits at the 4000 level, including at least 12 credits in mathematics and six credits in the interdisciplinary program.
Honours BA Program
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2001 3.00;
- SC/MATH 3001 3.00; SC/MATH 3010 3.00; SC/MATH 3020 6.00 or both SC/MATH 3131 3.00 and SC/MATH 3132 3.00;
- six credits chosen from the following: SC/MATH 4000 3.00, SC/MATH 4000 6.00 (projects in pure mathematics), SC/MATH 4001 6.00, SC/MATH 4020 6.00, SC/MATH 4030 3.00, SC/MATH 4080 6.00, SC/MATH 4110 3.00, SC/MATH 4120 3.00, SC/MATH 4130 3.00, SC/MATH 4140 3.00, SC/MATH 4150 3.00, SC/MATH 4160 3.00, SC/MATH 4170 6.00, SC/MATH 4210 3.00, SC/MATH 4230 3.00, SC/MATH 4250 6.00, SC/MATH 4280 3.00, SC/MATH 4290 3.00, SC/MATH 4300 3.00, SC/MATH 4300 6.00, SC/MATH 4430 3.00, SC/MATH 4431 3.00, SC/MATH 4630 3.00, SC/MATH 4730 3.00;
- six additional credits in mathematics courses without second digit 5 at the 4000 level for a total of 51 credits from major mathematics courses;
- additional elective credits, as required for an overall total of at least 120 credits, of which at least 36 credits are at the 3000 level or higher, at least 18 of which must be at the 4000 level.
Honours Minor BA Program
The Honours Minor in mathematics requires:
- SC/MATH 1021 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- three credits chosen from: SC/MATH 1019 3.00, SC/MATH 1090 3.00, SC/MATH 1190 3.00, SC/MATH 1200 3.00, SC/MATH 2030 3.00 or SC/MATH 2320 3.00;
- SC/MATH 2022 3.00; SC/MATH 2310 3.00;
- 12 additional credits in mathematics courses without second digit 5 at the 3000 level or higher for a total at least 30 credits in mathematics courses.
Notes:
- In all Honours Mathematics programs, SC/MATH 1021 3.00 and/or SC/MATH 2022 3.00 may be replaced by other linear algebra courses, but if the grade obtained in any such replacement course is below A then one of the following courses must be taken in addition to the Honours requirements noted in each program above: SC/MATH 1019 3.00, SC/MATH 1090 3.00, SC/MATH 1190 3.00 or SC/MATH 2320 3.00.
- In order to obtain an Honours BA (120 credits), students must take a total of at least 18 credits at the 4000 level, including at least 12 credits at the 4000 level in each Honours Major or Specialized Honours major.
Mathematics for Commerce Programs
Bachelor Program (BA)
Students must complete the following courses or approved substitutes:
Note: SC/MATH 3033 3.00 may be taken instead of SC/MATH 3330 3.00.
Specialized Honours BA Program
The Specialized Honours BA program in Mathematics for Commerce has only the Actuarial Stream. In comparison to the Honours Actuarial Stream, the emphasis is on preparing students to attain the designation of Associate of the Canadian Institute of Actuaries (CIA), the Society of Actuaries (SOA) and the Casualty Actuarial Society (CAS).
Actuarial Stream
* This course is part of the ‘Applied Statistics’ Validation by Educational Experience (VEE) requirements of the Canadian Institute of Actuaries. In addition to it, students should take the following courses as electives: AP/ECON 1000 3.00, AP/ECON 1010 3.00 for the ‘Economics’ VEE and AP/ECON 2300 3.00, AP/ECON 2350 3.00, AP/ECON 4400 3.00, AP/ECON 4410 3.00 for the ‘Corporate Finance’ VEE. Note that to be granted VEE credit from the Canadian Institute of Actuaries, students must achieve a grade of B or higher in each VEE requirement.
Honours BA Program
The Honours BA program in Mathematics for Commerce has two streams, and students must complete the requirements of one of the streams. The Operations Research Stream (industrial optimization) and the Actuarial Stream (insurance) require more intensive calculus courses than the BA program in Mathematics for Commerce, starting in first year.
Operations Research Stream
Actuarial Stream
Honours Minor BA Program
Students must complete the following courses or approved substitutes:
Note: in order to obtain an Honours BA (120 credits), students must take a total of at least 18 credits at the 4000 level, including at least 12 credits at the 4000 level in each Honours Major or Specialized Honours major.
Mathematics for Education BA Programs
This is a mathematics program focusing on the needs of students interested in concurrent education or consecutive education with mathematics as a teachable subject.
All Honours BA degree candidates (except Honours Minor) must complete the mathematics/statistics core and SC/CSE 1560 3.00, SC/MATH 4100 3.00.
Specialized Honours BA Program
- one of SC/MATH 2001 3.00, SC/MATH 2131 3.00, SC/MATH 2270 3.00, SC/MATH 2280 3.00;
- SC/MATH 3090 3.00, SC/MATH 3050 6.00;
- SC/MATH 4400 6.00;
- nine additional mathematics credits without second digit 5, at the 3000 level or above, including at least three credits at the 4000 level, for a total of 54 credits in mathematics, of which at least 12 are at the 4000 level;
- additional elective credits, as required for an overall total of at least 120 credits, of which at least 36 credits are at the 3000 level or higher, at least 18 of which must be at the 4000 level.
The Honours Major in mathematics for education may be taken standalone or combined with an Honours Major in another subject area in an Honours Double Major BA or with an Honours Minor in another subject area in an Honours Major/Minor BA program. The double major may be taken with approved major degree programs in the Faculties of Health, Liberal Arts and Professional Studies or Science and Engineering. The major/minor may be taken with approved major degree programs in the Faculties of Environmental Studies, Fine Arts, Health, Liberal Arts and Professional Studies or Science and Engineering. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
- The mathematics/statistics core;
- SC/CSE 1560 3.00;
- SC/MATH 4100 3.00;
- at least 18 additional mathematics credits without second digit 5, at the 3000 or 4000 level. SC/MATH 3050 6.00, SC/MATH 4400 6.00 and one of SC/MATH 3090 3.00 or SC/MATH 4090 3.00 are recommended. At least nine of these additional mathematics credits must be at the 4000 level;
- a total of 45 credits in mathematics is required, of which at least 12 will be at the 4000 level;
- additional elective credits, as required for an overall total of at least 120 credits, of which at least 36 credits are at the 3000 level or above, at least 18 of which must be at the 4000 level.
Note: at least three credits within the choices above must be from the list: SC/MATH 2001 3.00, SC/MATH 3050 6.00, SC/MATH 3020 6.00, SC/MATH 3140 6.00, SC/MATH 3260 3.00 or SC/MATH 4160 3.00.
Honours Minor BA Program
- Three credits of computer science, SC/CSE 1560 3.00 is recommended;
- SC/MATH 1021 3.00; SC/MATH 1131 3.00; SC/MATH 1200 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- SC/MATH 2022 3.00; SC/MATH 2030 3.00;
- at least nine credits of mathematics without second digit 5 at the 3000 or 4000 level, including at least six credits at the 4000 level, to include:
- SC/MATH 4100 3.00 or SC/MATH 4400 6.00
- at least three credits above should be chosen from proof-based courses approved by the director, such as SC/MATH 2001 3.00, SC/MATH 3050 6.00, SC/MATH 3020 6.00, SC/MATH 3140 6.00, SC/MATH 3260 3.00, SC/MATH 4160 3.00.
- a total of 33 credits in mathematics without second digit 5 is required, of which at least six will be at the 4000 level.
Statistics BA Programs
Bachelor Program (BA)
- SC/CSE 1560 3.00;
- SC/MATH 1021 3.00; SC/MATH 1131 3.00; SC/MATH 1200 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- SC/MATH 2022 3.00; SC/MATH 2030 3.00; SC/MATH 2131 3.00; SC/MATH 2310 3.00;
- SC/MATH 3033 3.00 or SC/MATH 3330 3.00; SC/MATH 3131 3.00;
- at least three additional credits in mathematics courses at the 3000 or 4000 level with third digit 3, and three additional credits at the 3000 level in mathematics without second digit 5, for a total of at least 39 credits from major mathematics courses;
- additional elective credits, as required for an overall total of at least 90 credits, of which at least 18 credits are at the 3000 level or higher, including at least 12 credits in the major.
Notes:
- In the BA program, SC/MATH 2222 3.00 will be accepted as a replacement for SC/MATH 2022 3.00, but it is not recommended.
- Students who have taken SC/MATH 1530 3.00 and SC/MATH 1540 3.00 or SC/MATH 1550 6.00 may not take SC/MATH 1300 3.00, but will be considered to have credit for SC/MATH 1300 3.00 and may take SC/MATH 1310 3.00.
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2001 3.00; SC/MATH 2131 3.00;
- SC/MATH 3001 3.00; SC/MATH 3033 3.00 or SC/MATH 3330 3.00; SC/MATH 3034 3.00; SC/MATH 3131 3.00; SC/MATH 3132 3.00; SC/MATH 3430 3.00;
- 12 credits in mathematics courses at the 4000 level with third digit 3;
- six additional credits in mathematics courses without second digit 5, for an overall total of at least 66 credits from major mathematics courses;
- additional elective credits, as required for an overall total of at least 120 credits, of which at least 36 credits are at the 3000 level or higher, at least 18 of which must be at the 4000 level.
Honours BA Program
Note: in the Honours BA program, SC/MATH 2222 3.00 will be accepted as a replacement for SC/MATH 2022 3.00, but is not recommended.
The Honours BA program described above may be pursued jointly with any other Honours bachelor’s degree programs in the Faculties of Environmental Studies, Fine Arts, Health, Liberal Arts and Professional Studies or Science and Engineering. For further details on requirements, refer to the listings for specific Honours programs that may be pursued jointly with other Faculties.
The Honours BA program in Statistics may be linked with any Honours Double Major interdisciplinary BA program in the Faculty of Liberal Arts and Professional Studies. Students must take at least 42 credits in mathematics and at least 36 credits in the interdisciplinary program. Courses taken to meet mathematics requirements cannot also be used to meet the requirements of the interdisciplinary program. Students in these interdisciplinary programs must take a total of at least 18 credits at the 4000 level, including at least 12 credits in mathematics and six credits in the interdisciplinary program.
Honours Major/Minor BA Program
The Honours BA program described above may be pursued jointly with any Honours Minor bachelor’s degree program in the Faculties of Environmental Studies, Fine Arts, Health, Liberal Arts and Professional Studies or Science and Engineering. For further details on requirements, refer to the listings for specific Honours programs that may be pursued jointly with other Faculties.
Honours Minor BA Program
The Honours Minor in statistics requires:
- first-year calculus (six credits at the 1000 level without second digit 5);
- SC/MATH 1021 3.00; SC/MATH 1131 3.00;
- SC/MATH 2022 3.00; SC/MATH 2030 3.00; SC/MATH 2131 3.00;
- nine credits in mathematics courses at the 2000 level or higher with third digit 3, for an overall total of at least 30 credits in major mathematics courses.
Notes:
- Students who have taken SC/MATH 1530 3.00 and SC/MATH 1540 3.00 or SC/MATH 1550 6.00 may not take SC/MATH 1300 3.00, but will be considered to have credit for SC/MATH 1300 3.00 and may take SC/MATH 1310 3.00.
- SC/MATH 2221 3.00 and SC/MATH 2222 3.00 are not recommended, but will be accepted as course exclusions for SC/MATH 1021 3.00 and SC/MATH 2022 3.00.
- In order to obtain an Honours BA (120 credits), students must take a total of at least 18 credits at the 4000 level, including at least 12 credits at the 4000 level in each Honours Major or Specialized Honours major.
Bachelor of Science Programs
ii) All BSc and Honours BSc degree candidates must comply with general regulation 4 (refer to the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section) by completing the following (in addition to the 1000-level CSE and MATH requirements specified for their program):
- 12 credits from SC/BIOL 1010 6.00, SC/CHEM 1000 3.00 and SC/CHEM 1001 3.00, SC/EATS 1010 3.00 and SC/EATS 1011 3.00, SC/MATH 2041 3.00 and SC/MATH 2042 3.00, SC/PHYS 1410 6.00 or SC/PHYS 1010 6.00;
- additional 1000-level science credits (excluding SC/CHEM 1500 4.00, SC/MATH 1510 6.00, SC/MATH 1515 3.00, SC/MATH 1520 3.00, SC/PHYS 1510 4.00 and all natural science courses) - as required for a total of at least 24 1000-level science credits;
- 12 general education credits (refer to General Education Requirements in the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section).
Note: special regulations apply for the international dual degree program in Mathematics and Statistics.
iii) All BSc and Honours BSc degree candidates, in accordance with their declared programs, must comply with general regulation 5 or 6 (refer to the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section) and, in so doing, must satisfy the course, credit and standing requirements specified below.
Bachelor Programs
To graduate in a bachelor program. A minimum overall grade point average of 4.00 (C) is required in order to be eligible to graduate with a BSc degree (bachelor program).
Honours Programs
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 5.00 (C+) over all courses completed, subject to the exception in the note below.
Note: in addition, a minimum cumulative credit-weighted grade point average of 6.00 (B) over all biology 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 6.00 (B) biology grade point average is not required where biology is the minor.)
Applied Mathematics BSc Programs
Bachelor Program (BSc)
- The Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- SC/CSE 1560 3.00;
- SC/MATH 1021 3.00; SC/MATH 1131 3.00; SC/MATH 1200 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- SC/MATH 2022 3.00; SC/MATH 2030 3.00; SC/MATH 2041 3.00; SC/MATH 2270 3.00; SC/MATH 2310 3.00;
- SC/MATH 3241 3.00; SC/MATH 3260 3.00 or SC/MATH 3170 6.00;
- 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 BSc Program
- The mathematics/statistics core;
- the Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- SC/CSE 1560 3.00;
- SC/MATH 2001 3.00; SC/MATH 2041 3.00; SC/MATH 2270 3.00;
- SC/MATH 3001 3.00; SC/MATH 3241 3.00; SC/MATH 3242 3.00; SC/MATH 3260 3.00 or SC/MATH 3170 6.00; SC/MATH 3410 3.00;
- at least 12 additional credits selected from mathematics courses without second digit 5 at the 4000 level, for an overall total of at least 60 credits from major mathematics 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 Major, Honours Double Major and Honours Major/Minor BSc Programs
An Honours Major in applied mathematics may be taken standalone or combined with an Honours Major in another subject area in an Honours Double Major BSc degree program or with an Honours Minor in another subject area in an Honours Major/Minor BSc degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
- The Faculty of Science and Engineering 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 BSc Major
- The mathematics/statistics core;
- SC/CSE 1560 3.00;
- SC/MATH 2041 3.00; SC/MATH 2270 3.00;
- SC/MATH 3241 3.00; one of SC/MATH 3242 3.00, SC/MATH 3260 3.00 or SC/MATH 3170 6.00;
- 12 credits at the 4000 level, selected from mathematics courses without second digit 5, for an overall total of at least 48 credits from major mathematics courses.
Honours Minor
- SC/CSE 1560 3.00;
- SC/MATH 1021 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- SC/MATH 2310 3.00; two of SC/MATH 2041 3.00, SC/MATH 2022 3.00 (or SC/MATH 2222 3.00), SC/MATH 2270 3.00 (six credits);
- at least 12 more credits, including at least one of SC/MATH 3170 6.00 or SC/MATH 3241 3.00 or SC/MATH 3260 3.00, and the remaining credits from mathematics courses without second digit 5 at the 3000 level or higher, for an overall total of at least 30 credits from major mathematics courses.
Computational Mathematics BSc Program
- SC/CSE 1020 3.00; SC/CSE 1030 3.00; SC/CSE 2031 3.00; SC/MATH 2041 3.00;
- the Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- the mathematics/statistics core;
- SC/MATH 2131 3.00; SC/MATH 2270 3.00;
- SC/MATH 3090 3.00; SC/MATH 3241 3.00; SC/MATH 3242 3.00; SC/MATH 3271 3.00; SC/MATH 4090 3.00;
- 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 two areas of concentration, and in each case complete the courses listed:
Applied and Industrial Mathematics
Financial Mathematics
Mathematics BSc Programs
Bachelor Program (BSc)
- The Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- SC/CSE 1560 3.00;
- SC/MATH 1021 3.00 or equivalent; SC/MATH 1300 3.00 and SC/MATH 1310 3.00 or equivalents;
- one of SC/MATH 1019 3.00, SC/MATH 1090 3.00, SC/MATH 1190 3.00, SC/MATH 1200 3.00, SC/MATH 2030 3.00 or SC/MATH 2320 3.00;
- SC/MATH 2022 3.00 or equivalent; SC/MATH 2310 3.00;
- at least 12 credits from major (i.e. without second digit 5) mathematics courses, at the 3000 level or higher, for a total of at least 30 credits from major mathematics 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.
Honours Programs
Specialized Honours BSc Program
- The mathematics/statistics core;
- the Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- SC/CSE 1560 3.00;
- SC/MATH 2001 3.00;
- SC/MATH 3001 3.00; SC/MATH 3010 3.00; either SC/MATH 3020 6.00 or both SC/MATH 3131 3.00 and SC/MATH 3132 3.00;
- six credits from: SC/MATH 4000 3.00/SC/MATH 4000 6.00 (projects in pure mathematics), SC/MATH 4001 6.00, SC/MATH 4020 6.00, SC/MATH 4030 3.00, SC/MATH 4080 6.00, SC/MATH 4110 3.00, SC/MATH 4120 3.00, SC/MATH 4130 3.00, SC/MATH 4140 3.00, SC/MATH 4150 3.00, SC/MATH 4160 3.00, SC/MATH 4170 6.00, SC/MATH 4210 3.00, SC/MATH 4230 3.00, SC/MATH 4250 6.00, SC/MATH 4280 3.00, SC/MATH 4290 3.00, SC/MATH 4300 3.00, SC/MATH 4300 6.00, SC/MATH 4430 3.00, SC/MATH 4431 3.00, SC/MATH 4630 3.00, SC/MATH 4730 3.00;
- at least six additional credits from major mathematics courses at the 4000 level (these must include either SC/MATH 4001 6.00 or SC/MATH 4020 6.00 if neither was taken above);
- at least 15 additional credits from major (i.e. without second digit 5) mathematics courses, or approved or equivalent courses, for a total of at least 66 credits from major mathematics 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 Major, Honours Double Major and Honours Major/Minor BSc Programs
An Honours Major in mathematics may be taken stand-alone or combined with an Honours Major in another subject area in an Honours Double Major BSc degree program or with an Honours Minor in another subject area in an Honours Major/Minor BSc degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
- The Faculty of Science and Engineering 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 901 credits from science courses and at least 42 credits at the 3000 or higher level.
Honours BSc Major
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2001 3.00;
- SC/MATH 3001 3.00; SC/MATH 3010 3.00; either SC/MATH 3020 6.00 or both SC/MATH 3131 3.00 and SC/MATH 3132 3.00;
- six credits from: SC/MATH 4000 3.00/SC/MATH 4000 6.00 (projects in pure mathematics), SC/MATH 4001 6.00, SC/MATH 4020 6.00, SC/MATH 4030 3.00, SC/MATH 4080 6.00, SC/MATH 4110 3.00, SC/MATH 4120 3.00, SC/MATH 4130 3.00, SC/MATH 4140 3.00, SC/MATH 4150 3.00, SC/MATH 4160 3.00, SC/MATH 4170 6.00, SC/MATH 4210 3.00, SC/MATH 4230 3.00, SC/MATH 4250 6.00, SC/MATH 4280 3.00, SC/MATH 4290 3.00, SC/MATH 4300 3.00, SC/MATH 4300 6.00, SC/MATH 4430 3.00, SC/MATH 4431 3.00, SC/MATH 4630 3.00, SC/MATH 4730 3.00;
- at least six additional major (i.e. without second digit 5) mathematics credits at the 4000 level, for a total of at least 51 credits from major mathematics courses.
Honours Minor
- SC/MATH 1021 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- one of SC/MATH 1019 3.00, SC/MATH 1090 3.00, SC/MATH 1190 3.00, SC/MATH 1200 3.00, SC/MATH 2030 3.00 or SC/MATH 2320 3.00;
- SC/MATH 2022 3.00; SC/MATH 2310 3.00;
- at least 12 credits from major (i.e. without second digit 5) mathematics courses, or approved or equivalent courses, at the 3000 or higher level, for an overall total of at least 30 mathematics credits.
Note: in all Mathematics Honours programs, SC/MATH 1021 3.00 and/or SC/MATH 2022 3.00 may be replaced by other linear algebra courses, but if the grade obtained in any such replacement course is below A then one of the following courses must be taken above and beyond the normal Honours requirements: SC/MATH 1019 3.00, SC/MATH 1090 3.00, SC/MATH 1190 3.00, SC/MATH 2320 3.00.
Mathematics for Education BSc Programs
This is a mathematics program focusing on the needs of students interested in concurrent education or consecutive education with mathematics as a teachable subject.
All Honours BSc degree candidates (except Honours Minor) must complete the mathematics/statistics core and SC/CSE 1560 3.00, SC/MATH 4100 3.00.
Specialized Honours BSc Program
- One of SC/MATH 2001 3.00, SC/MATH 2131 3.00, SC/MATH 2280 3.00, or SC/MATH 2270 3.00;
- SC/MATH 3050 6.00; SC/MATH 3090 3.00;
- SC/MATH 4400 6.00;
- nine additional credits from mathematics courses (i.e. without second digit 5) at the 3000 or higher level
- 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, Honours Double Major and Honours Major/Minor BSc Programs
An Honours Major in mathematics for education may be taken stand-alone or combined with an Honours Major in another subject area in an Honours Double Major BSc degree program or with an Honours Minor in another subject area in an Honours Major/Minor BSc degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
Honours BSc Major
- 18 additional credits selected from SC/MATH courses (without second digit 5) at the 3000 level or higher (SC/MATH 4400 6.00, SC/MATH 3050 6.00 and one of SC/MATH 3090 3.00 or SC/MATH 4090 3.00 recommended);
- proof-based course requirement: at least three credits, which may be within the choices above, selected from the list: SC/MATH 2001 3.00, SC/MATH 3001 3.00, SC/MATH 3020 6.00, SC/MATH 3050 6.00, SC/MATH 3140 6.00, SC/MATH 3260 3.00, SC/MATH 4160 3.00;
- 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 Minor
- three credits of computer science (SC/CSE 1560 3.00 recommended);
- SC/MATH 1021 3.00, SC/MATH 1131 3.00, SC/MATH 1200 3.00, SC/MATH 1300 3.00, SC/MATH 1310 3.00;
- SC/MATH 2022 3.00, SC/MATH 2030 3.00;
- at least nine credits from major (i.e. without second digit 5) mathematics courses at the 3000 or higher level including SC/MATH 4100 3.00 or SC/MATH 4400 6.00;
- three credits, which may be among the choices above, selected from proof-based courses approved by the director (such as SC/MATH 3020 6.00, SC/MATH 3050 6.00, SC/MATH 3140 6.00, SC/MATH 3260 3.00, SC/MATH 4160 3.00).
Statistics BSc Programs
- The Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- SC/CSE 1560 3.00;
- SC/MATH 1021 3.00; SC/MATH 1131 3.00; SC/MATH 1200 3.00; SC/MATH 1300 3.00; SC/MATH 1310 3.00;
- SC/MATH 2022 3.00*; SC/MATH 2030 3.00; SC/MATH 2131 3.00; SC/MATH 2310 3.00;
- SC/MATH 3033 3.00 or SC/MATH 3330 3.00; SC/MATH 3131 3.00;
- at least three additional credits from 3000- or 4000-level mathematics courses with third digit 3 for a total of at least 36 credits from major mathematics 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 2222 3.00 will be accepted in lieu of SC/MATH 2022 3.00 in this program, but is not recommended.
Specialized Honours BSc Program
- The Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2001 3.00; SC/MATH 2131 3.00;
- SC/MATH 3001 3.00; SC/MATH 3033 3.00 or SC/MATH 3330 3.00; SC/MATH 3034 3.00; SC/MATH 3131 3.00; SC/MATH 3132 3.00; SC/MATH 3430 3.00;
- 12 credits from 4000-level mathematics courses with third digit 3;
- six additional credits from major (second digit not 5) mathematics courses, for a total of at least 66 credits from major mathematics 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 BSc Program
An Honours Major in statistics may be combined with an Honours Major in another subject area in an Honours Double Major BSc degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
- The Faculty of Science and Engineering 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 Honours Double Major BSc 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 (Honours Double Major BSc Programs)
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2131 3.00;
- SC/MATH 3033 3.00 or SC/MATH 3330 3.00; SC/MATH 3131 3.00; SC/MATH 3132 3.00;
- six additional credits from 3000- or 4000-level mathematics courses with third digit 3 for an overall total of at least 42 credits from major mathematics courses.
Honours Major and Honours Major/Minor BSc Programs
An Honours Major in statistics may be taken standalone or combined with an Honours Minor in another subject area in an Honours Major/Minor BSc degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section.
- The Faculty of Science and Engineering 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 Honours Major/Minor BSc 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 Honours Major BSc and Major/Minor BSc Programs)
- SC/CSE 1560 3.00;
- the mathematics/statistics core;
- SC/MATH 2131 3.00;
- SC/MATH 3033 3.00 or SC/MATH 3330 3.00; one of SC/MATH 3034 3.00 or SC/MATH 3430 3.00;
- SC/MATH 3131 3.00; SC/MATH 3132 3.00;
- 12 credits from 4000-level mathematics courses with third digit 3, for an overall total of at least 51 credits from major mathematics courses.
- First-year calculus (six credits at the 1000 level without second digit 5);
- SC/MATH 1021 3.00*; SC/MATH 1131 3.00;
- SC/MATH 2022 3.00*; SC/MATH 2030 3.00; SC/MATH 2131 3.00;
- nine additional credits from 2000- or higher-level mathematics courses with third digit 3, for an overall total of at least 30 mathematics credits.
*Note: SC/MATH 1025 3.00, SC/MATH 2221 3.00 and SC/MATH 2222 3.00 will be accepted in this program, but are not recommended.
International Dual Degree in Mathematics and Statistics (BSc and Honours BSc)
In collaboration with the Dipartimento di Matematica Pura ed Applicata at the University of L’Aquila (Italy), the Department of Mathematics and Statistics offers an International Dual Degree program Mathematics and Statistics (BSc and Specialized Honours BSc only). This program is particularly demanding and will be of interest to students with academic performances of B average and better. Students in the program, after two years of study at York, but before the completion of the York degree requirements, will be eligible to study as York international exchange students for up to one year at the University of L’Aquila, earn York credits for specified courses taken at L’Aquila towards their York degree program, and at the same time fulfill the degree requirements for the Laurea di primo livello at L’Aquila, the Italian equivalent of a 90-credit BSc. All exchanges under this program are administered by York International in collaboration with the Ufficio Internazionale at the University of L’Aquila.
Upon completion of the York degree requirements, students of the University of L’Aquila studying as exchange students at York are eligible to earn a York degree in this program.
All BSc and Honours BSc degree candidates must satisfy a specified general education requirement in lieu of the general education requirements of the Faculty of Science and Engineering, as follows. For students whose home university is York, the specified general education requirement consists of: AP/IT 1000 6.00 or equivalent; the course Lingua e Cultura Italiana offered by the University of L’Aquila (three York credits) or equivalent; three more credits, in accordance with the general education requirements of the Faculty of Science and Engineering. (Note in particular that for York students in the program, AP/IT 1000 6.00 is exempted from Restriction 2 in the general education requirements of the Faculty of Science and Engineering). For students whose home university is the University of L’Aquila, the specified general education requirement consists of: Lingua Inglese 1, 2 offered by the University of L’Aquila (six York credits) or equivalent; AP/HUMA 1220 9.00 or equivalent.
Bachelor Program (BSc)
Specialized Honours BSc Program
- The specified general education requirement;
- SC/CSE 1530 3.00; SC/CSE 1560 3.00;
- SC/PHYS 1410 6.00;
- the mathematics/statistics core;
- SC/MATH 2001 3.00; SC/MATH 2270 3.00; SC/MATH 2320 3.00;
- SC/MATH 3020 6.00; SC/MATH 3170 6.00; SC/MATH 3241 3.00; SC/MATH 3271 3.00; SC/MATH 3410 3.00;
- at least nine additional credits from SC/MATH courses at the 4000 level;
- 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.
Note: for an up-to-date list of equivalent courses offered at the University of L’Aquila, contact the Department of Mathematics and Statistics.
1. Or at least 66 credits from science courses if the minor is in a fine arts subject area.
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