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Science and Engineering – Mathematics and Statistics

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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 foundational science.

  • 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 requirements: 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 regulations specified in 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

Honours Major, Honours Double Major and Honours Major/Minor BA Program

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

Honours Minor BA Program

The Honours Minor in applied mathematics consists of:

Mathematics BA Programs

Bachelor Program (BA)

Note: students who have taken SC/MATH 1530 3.00 and SC/MATH 1540 3.00  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

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

Honours Minor BA Program

The Honours Minor in mathematics requires:

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:

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.

Specialized Honours BA Program

Honours Major, Honours Double Major or Honours Major in a Major/Minor BA Program

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 (24 credits);
  • SC/CSE 1560 3.00;
  • SC/MATH 2031 1.00;
  • SC/MATH 3050 6.00 or SC/MATH 3052 6.00;
  • SC/MATH 4100 3.00;
  • at least 12 additional mathematics credits without second digit 5, at the 3000 or 4000 level. At least nine of these additional mathematics credits must be at the 4000 level. SC/MATH 4400 6.00 and one of SC/MATH 3090 3.00 or SC/MATH 4090 3.00 are recommended.
  • a total of 46 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.

Honours Minor BA Program

Statistics BA Programs

Bachelor Program (BA)

Note: Students who have taken SC/MATH 1530 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

Honours BA Program

Honours Double Major BA Program

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:

Notes:

Bachelor of Science Programs

The mathematics/statistics honours core is defined as (24 credits): 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.

Applied Mathematics BSc Programs

Bachelor Program (BSc)

A. General education:

B.  Major requirements:

C.  Science breadth:  a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements;

D.  Upper level:  a minimum of 18 credits must be at the 3000 level or above;

E..  Additional elective credits, as required, for an overall total of 90 credits.

F.  Standing requirement:  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).

Specialized Honours BSc Program

A.  General education:

B.  Major requirements:

C.  Science breadth:  a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements;
 
D.  Upper level: a minimum of 42 credits must be at the 3000 level or above;

E.  Additional elective credits, as required, for an overall total of 120 credits for the Honours program. 

F.  Standing requirements:  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. 

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. Students should consult with a departmental advisor to plan their studies in order to meet the requirements for both majors and their prerequisites.

  • the applied mathematics Honours Major requirements below;
  • the course requirements for the second major or the minor;

Honours BSc Major

A.  General education:

B.  Major requirements:

C.  Science breadth:  a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements.  Not required if the second major or the minor is another science discipline.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements: 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 following exception.  In addition, a minimum cumulative credit-weighted grade point average of 5.00 (C+) over all biology courses completed is required to graduate in an Honours Double Major program where biology is the other major.

Honours Minor

Computational Mathematics BSc Program

Specialized Honours BSc Program

A. General education:

B. Major requirements:

In addition, students must choose from one of two areas of concentration, and in each case complete the courses listed:

Applied and Industrial Mathematics concentration

Financial Mathematics concentration

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Fifteen of these 24 credits, including three at the 2000 level, are satisfied by the above requirements.

D.  Upper level: a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements:  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.

Mathematics BSc Programs

Bachelor Program (BSc)

A.  General education:

B.  Major requirements:

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements.

D.  Upper level:  a minimum of 18 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 90 credits.

F. Standing requirements:  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

Specialized Honours BSc Program

A.  General education:

B.  Major requirements:

C.  Science breadth:  a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirement:   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.

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.  Students should consult with a departmental advisor to plan their studies in order to meet the requirements for both majors and their prerequisites.

Honours BSc Major

A.  General education:

B.  Major requirements:

C.  Science breadth:  a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements. Not required if the second major or the minor is another science discipline.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements:  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 following exception.  In addition, a minimum cumulative credit-weighted grade point average of 5.00 (C+) over all biology courses completed is required to graduate in an Honours Double Major program where biology is the other major. 

Honours Minor

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.

Specialized Honours BSc Program

A.  General education:

B. Major requirements:

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements:  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.

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.  Students should consult with a departmental advisor to plan their studies in order to meet the requirements for both majors and their prerequisites.

Honours BSc Major

A.  General education:

B. Major requirements:

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements. Not required if the second major or the minor is another science discipline.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements:  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 following exception.  In addition, a minimum cumulative credit-weighted grade point average of 5.00 (C+) over all biology courses completed is required to graduate in an Honours Double Major program where biology is the other major.

Honours Minor

Statistics BSc Programs

Bachelor Program (BSc)

A.  General education:

B.  Major requirements:

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above. Nine of these 24 credits are satisfied by the above requirements.

D.  Upper level:  a minimum of 18 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 90 credits.

F.  Standing requirements:  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).

Specialized Honours BSc Program

A.  General education:

B.  Major requirements:

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements:  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. 

Honours Major, Honours Double Major and Honours Major/Minor BSc Program

An Honours Major in statistics 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.  Students should consult with a departmental advisor to plan their studies in order to meet the requirements for both majors and their prerequisites.

Honours BSc Major

A.  General education:

B.  Major requirements:

C.  Science breadth: a total of 24 credits in science disciplines outside the major, of which at least three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the above requirements. Not required if the second major or the minor is another science discipline.

D.  Upper level:  a minimum of 42 credits must be at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits .

F.  Standing requirements:  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 following exception.  In addition, a minimum cumulative credit-weighted grade point average of 5.00 (C+) over all biology courses completed is required to graduate in an Honours Double Major program where biology is the other major.

Honours Minor

*Note: SC/MATH 1025 3.00 will be accepted in this program, but is 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 non-science requirement in lieu of the non-science requirements of the Faculty of Science and Engineering, as follows. For students whose home university is York, the specified non-science 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 non-science 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 non-science requirements of the Faculty of Science and Engineering). For students whose home university is the University of L’Aquila, the specified non-science 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)

A. General education:

B.  Major requirements:

C.  Science breadth:  at least 24 credits in science disciplines outside the major, of which three credits must be at the 2000 level or above.  Nine of these 24 credits are satisfied by the General Education requirement.

D.  Upper level requirement:  a minimum of 18 credits at the 3000 level or above (satisfied by the above requirements).

E.  Additional elective credits, as required, for an overall total of 90 credits.

F.  Standing requirements: A minimum overall grade point average of 4.00 is required in order to be eligible to graduate with a BSc degree (bachelor program).

Specialized Honours BSc Program

A.  General Education:

B.  Major requirements:

C.  Science breadth: at least 24 credits in science disciplines outside the major, of which three credits must be at the 2000 level or above. Nine of these 24 credits are satisfied by the General Education requirement. 

D.  Upper level requirement: a minimum of 42 credits at the 3000 level or above.

E.  Additional elective credits, as required, for an overall total of 120 credits.

F.  Standing requirements: to graduate in a Specialized 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.

Note: for an up-to-date list of equivalent courses offered at the University of L’Aquila, contact the Department of Mathematics and Statistics.

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