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2006-2007 Undergraduate Calendar
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Mathematics and Statistics - Science and Engineering

The Department of Mathematics and Statistics offers BSc and BSc Honours degree programs in five subject areas:

  • applied mathematics
  • computational mathematics (BSc Honours only)
  • mathematics
  • statistics
  • international dual degree program (mathematics and statistics)

The BSc and BSc Honours degree programs in each subject area are listed separately below. A student should choose one of these subject areas based on interest and employment goals, but it is possible to change subject areas provided the requirements of the desired subject area can be met.

i) All BSc and BSc Honours degree candidates must complete a program core (see program specifications below).

ii) All BSc and BSc Honours degree candidates must comply with general regulation 4 (see the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section of this calendar) by completing the following (in addition to the 1000-level CSE and MATH requirements specified for their program):

Note: Special regulations apply for the international dual degree program in Mathematics and Statistics.

iii) All BSc and BSc Honours degree candidates, in accordance with their declared programs, must comply with general regulation 5 or 6 (see the Faculty of Science and Engineering Regulations Governing Undergraduate Degree Requirements section of this calendar) and, in so doing, must satisfy the course, credit and standing requirements specified below.

Bachelor Programs

To Graduate in a Bachelor Program. A minimum overall grade point average of 4.0 (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 5.0 (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 6.0 (B) over all science (SC) courses completed is required to declare, proceed and graduate in (i) the Honours Double Major program where biology is the other major, and (ii) the Honours Major/Minor program where biology is the major. (The minimum 6.0 (B) science grade point average is not required where biology is the minor.)

Additional Notes:

1. For the purpose of satisfying departmental degree requirements, the following minimum numbers of credits must be completed within the Department of Mathematics and Statistics: 18 for the bachelor program, 21 for the Honours Double Major program, 30 for the Specialized Honours program.

2. For BA and BA Honours degree programs in mathematics and statistics, see the Faculty of Arts Programs of Study section of this calendar.

I. Applied Mathematics Programs

All BSc and BSc Honours degree candidates must complete the program core: SC/CSE 1540 3.00 or SC/CSE 2031 3.00; SC/MATH 1013 3.00; SC/MATH 1014 3.00; SC/MATH 1016 1.00; SC/MATH 1017 1.00; SC/MATH 1021 3.00; SC/MATH 2015 3.00; SC/MATH 2018 1.00; SC/MATH 2041 3.00; SC/MATH 2270 3.00; SC/MATH 3241 3.00.

In addition, all degree candidates must select a number of credits (depending on their program) from science mathematics courses without second digit 5 at the 3000 level or higher.

Bachelor Program

  • the program core;
  • the Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
  • one of SC/MATH 2022 3.00, SC/MATH 2030 3.00, SC/MATH 2222 3.00, SC/MATH 2320 3.00;
  • at least 12 credits selected from science mathematics courses without second digit 5 at the 3000 level or higher, for an overall total of at least 39 credits from major science 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.

Specialized Honours Program

  • the program core;
  • the Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
  • SC/MATH 2022 3.00; SC/MATH 2030 3.00;
  • SC/MATH 3110 3.00 (if SC/MATH 1010 3.00 has not been passed); SC/MATH 3210 3.00; SC/MATH 3242 3.00; SC/MATH 3410 3.00;
  • at least 21 additional credits selected from science mathematics courses without second digit 5 at the 3000 level or higher (these 21 credits must include SC/MATH 3260 3.00 or SC/MATH 3170 6.00, and at least 12 credits at the 4000 level), for an overall total of at least 63 credits from major science 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.

Note: If SC/MATH 1014 3.00 is replaced by SC/MATH 1010 3.00 then SC/MATH 3110 3.00 is not required and must be replaced with additional three credits in MATH courses without second digit 5 at the 3000 level or higher.

Honours Major, Honours Double Major and Honours Major/Minor Programs

An Honours major in applied mathematics may be taken stand-alone or combined with an Honours major in another subject area in a BSc Honours Double Major degree program or with an Honours minor in another subject area in a BSc Honours Major/Minor degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section of this calendar.

  • 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 Major

  • the program core;
  • SC/MATH 3242 3.00 or SC/MATH 3170 6.00;
  • 12 credits at the 4000 level, selected from science mathematics courses without second digit 5, for an overall total of at least 39 credits from major science mathematics courses.

Honours Minor

II. Computational Mathematics Program

Specialized Honours Program

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

Applied and Industrial Mathematics

Financial Mathematics

Actuarial Mathematics

III. Mathematics Programs

Bachelor Program

Note: Mathematics Honours core courses SC/MATH 1000 3.00, SC/MATH 1010 3.00 may replace SC/MATH 1300 3.00, SC/MATH 1310 3.00 respectively.

Honours Programs

Mathematics Honours Core

The core courses below are required in all Honours mathematics programs:

Note: Students may substitute non-Honours versions of the sequence SC/MATH 1000/1010, but any student who does not complete SC/MATH 1010 3.00 must take SC/MATH 3110 3.00 above and beyond the normal Honours requirements. If one or more of SC/MATH 1021 3.00 or SC/MATH 2022 3.00 is replaced by other linear algebra courses and if the grades obtained were less than A, then SC/MATH 2090 3.00 or SC/MATH 2320 3.00 must be taken above and beyond the normal Honours requirements.

Specialized Honours Program

  • the mathematics Honours core;
  • SC/CSE 1520 3.00; SC/CSE 1530 3.00 or SC/MATH 2041 3.00; or equivalents;
  • the Faculty of Science and Engineering general education and 1000-level science requirements, as specified in ii) above;
  • at least six additional credits from major science mathematics courses at the 4000 level (these must include either SC/MATH 4010 6.00 or SC/MATH 4020 6.00 if neither was taken as part of the mathematics Honours core);
  • at least 24 additional credits from major (i.e. without second digit 5) science mathematics courses, or approved or equivalent courses, for a total of at least 66 credits from major science 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 Programs

An Honours major in mathematics may be taken stand-alone or combined with an Honours major in another subject area in a BSc Honours Double Major degree program or with an Honours minor in another subject area in a BSc Honours Major/Minor degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section of this calendar.

  • SC/CSE 1520 3.00; SC/CSE 1530 3.00 or SC/MATH 2041 3.00; or equivalents;
  • 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 90* credits from science courses and at least 42 credits at the 3000 or higher level.

* or at least 66 credits from science courses if the minor is in a fine arts subject area.

Honours Major

  • the mathematics Honours core;
  • at least six additional major (i.e. without second digit 5) science mathematics credits at the 4000 level, for a total of at least 42 credits from major science mathematics courses.

Honours Minor

Note: Mathematics Honours core courses SC/MATH 1000 3.00 and SC/MATH 1010 3.00 may replace SC/MATH 1300 3.00 and SC/MATH 1310 3.00 respectively.

IV. Statistics Programs

Bachelor Program

*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.

Specialized Honours Program

Honours Double Major Program

An Honours Major in statistics may be combined with an Honours Major in another subject area in a BSc Honours Double Major degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section of this calendar.

  • 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 BSc Honours Double Major programs) below;
  • the course requirements for the second major;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Major (BSc Honours Double Major Programs)

*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.

Honours Major/Minor Programs

An Honours major in statistics may be combined with an Honours minor in another subject area in a BSc Honours Major/Minor degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Science and Engineering Undergraduate Degree and Certificate Programs section of this calendar.

  • 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 BSc Honours Major/Minor programs) below;
  • the course requirements for the minor;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Major (for BSc Honours Major/Minor Programs)

*Note: For calculus and linear algebra, the courses SC/MATH 1013 3.00, SC/MATH 1014 3.00, SC/MATH 1300 3.00, SC/MATH 1310 3.00, 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.

Honours Minor

*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.

V. International Dual Degree in Mathematics and Statistics

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 complete the program core: SC/CSE 1520 3.00; SC/CSE 1540 3.00; SC/PHYS 1410 6.00 or SC/PHYS 1010 6.00; SC/MATH 1190 3.00; SC/MATH 1000 3.00 or SC/MATH 1013 3.00; SC/MATH 1010 3.00 or SC/MATH 1014 3.00; SC/MATH 1021 3.00; SC/MATH 2022 3.00; SC/MATH 2030 3.00; SC/MATH 2131 3.00; SC/MATH 2320 3.00; SC/MATH 2310 3.00 or SC/MATH 2015 3.00; SC/MATH 2041 3.00; SC/MATH 2042 3.00; SC/MATH 2270 3.00; SC/MATH 2280 3.00; SC/MATH 3241 3.00; SC/MATH 3242 3.00; SC/MATH 3410 3.00; SC/MATH 3271 3.00; SC/MATH 3170 6.00; SC/MATH 4430 3.00 or SC/MATH 4431 3.00; or equivalent.

Notes:

1. SC/MATH 1190 3.00 may be replaced by SC/MATH 1019 3.00, in which case SC/MATH 2320 3.00 must be replaced by another 2000- or 3000-level SC/MATH course not already contained in the program core, preferably by SC/MATH 3260 3.00.

2. For an up-to-date list of equivalent courses offered at the University of L'Aquila, contact the Department of Mathematics and Statistics.

All BSc and BSc Honours 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: AS/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, AS/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; AS/HUMA 1220 9.00 or equivalent.

Bachelor Program

  • the program core;
  • the specified general education requirement;
  • additional elective credits for an overall total of at least 90 credits.

Specialized Honours Program

  • the program core;
  • the specified general education requirement;
  • 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.

 
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