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2002-2003 Calendar

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Faculty of Arts
 
Faculty of Education
 
Faculty of Environmental Studies
 
Faculty of Fine Arts
 
Faculty of Pure and Applied Science
 
Atkinson Faculty of Liberal and Professional Studies
 
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Schulich School of Business
 
Courses of Instruction
 
Glendon College

Mathematics and Statistics

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

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

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

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

  • 12 credits from SC/BIOL 1010 6.0 or SC/BIOL 1410 6.0, SC/CHEM 1000 3.0 and SC/CHEM 1001 3.0, SC/EATS 1010 3.0 and SC/EATS 1011 3.0, SC/MATH 2041 3.0 and SC/MATH 2042 3.0, SC/PHYS 1410 6.0 or SC/PHYS 1010 6.0;
  • additional 1000-level science credits (excluding SC/CHEM 1500 4.0, SC/MATH 1510 6.0, SC/MATH 1515 3.0, SC/PHYS 1510 4.0 and all natural science courses) - as required for a total of at least 24 1000-level science credits;
  • 12 general education credits (see General Education Requirements in the Faculty of Pure and Applied Science Regulations Governing Undergraduate Degree Requirements section of this Calendar).

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

Bachelor Programs

To Graduate in a Bachelor Program. For students admitted to York University for 2001-2002 and subsequent years, the Senate of York University requires a minimum overall grade point average of 4.0 (C) in order to be eligible to graduate with a BSc degree (bachelor program).

Honours Programs

To declare Honours requires successful completion of at least 24 credits and a minimum cumulative credit-weighted grade point average of 5.0 (C+) over all courses completed, subject to the exceptions in the notes below.

To proceed in each year of an Honours program requires a minimum cumulative credit-weighted grade point average of 5.0 (C+) over all courses completed, subject to the exceptions in the notes below.

To graduate in an Honours program requires successful completion of all Faculty requirements and departmental required courses and a minimum cumulative credit-weighted grade point average of 5.0 (C+) over all courses completed, subject to the exceptions in the notes below.

Notes:

1. In addition, a minimum cumulative credit-weighted grade point average of 6.0 (B) over all science (SC) courses completed is required to declare, proceed and graduate in (i) the Honours Double Major program where biology is the other major, and (ii) the Honours Major/Minor program where biology is the major. (The minimum 6.0 (B) science grade point average is not required where biology is the minor.)

2. Students admitted to York University prior to 1999-2000 may declare Honours and proceed and graduate in Honours programs according to the academic standards of the year in which they were admitted.

Additional Notes:

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

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

I. Applied Mathematics Programs

All BSc and BSc Honours degree candidates must complete the program core: SC/COSC 1540 3.0 or SC/COSC 2031 3.0; SC/MATH 1013 3.0; SC/MATH 1014 3.0; SC/MATH 1016 1.0; SC/MATH 1017 1.0; SC/MATH 1021 3.0; SC/MATH 2015 3.0; SC/MATH 2018 1.0; SC/MATH 2041 3.0; SC/MATH 2270 3.0; SC/MATH 3241 3.0.

In addition, all degree candidates must select a number of credits (depending on their program) from the following list.

List 1: SC/MATH 3110 3.0, SC/MATH 3131 3.0, SC/MATH 3170 6.0, SC/MATH 3242 3.0, SC/MATH 3260 3.0, SC/MATH 3271 3.0, SC/MATH 3410 3.0, SC/MATH 4000 3.0/4000 6.0 (projects in Applied Mathematics only), SC/MATH 4141 3.0, SC/MATH 4142 3.0, SC/MATH 4160 3.0, SC/MATH 4170 6.0, SC/MATH 4240 3.0, SC/MATH 4241 3.0, SC/MATH 4270 3.0, SC/MATH 4271 3.0, SC/MATH 4430 3.0, SC/MATH 4431 3.0, SC/MATH 4470 3.0, SC/MATH 4830 3.0.

Bachelor Program

  • the program core;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • one of SC/MATH 2022 3.0, SC/MATH 2030 3.0, SC/MATH 2222 3.0, SC/MATH 2320 3.0;
  • at least 12 credits selected from list 1 courses, for an overall total of at least 39 credits from major SC/MATH courses;
  • additional elective credits, as required for an overall total of at least 90 credits, including at least 66 credits from science courses and at least 18 credits at the 3000 or higher level.

Specialized Honours Program

  • the program core;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • SC/MATH 2022 3.0; SC/MATH 2030 3.0;
  • SC/MATH 3110 3.0; SC/MATH 3210 3.0; SC/MATH 3242 3.0; SC/MATH 3410 3.0;
  • at least 21 additional credits selected from list 1 courses (including SC/MATH 3260 3.0 or SC/MATH 3170 6.0, and at least 12 credits at the 4000 level), for an overall total of at least 63 credits from major SC/MATH courses;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Double Major and Honours Major/Minor Programs

An Honours Major in applied mathematics may be combined with an Honours Major in another subject area in a BSc Honours Double Major degree program or with an Honours Minor in another subject area in a BSc Honours Major/Minor degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Pure and Applied Science Undergraduate Degree and Certificate Programs section of this Calendar.

  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above and including courses appropriate for the second major or the minor;
  • the applied mathematics Honours Major requirements below;
  • the course requirements for the second major or the minor;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Major

  • the program core;
  • SC/MATH 3242 3.0 or SC/MATH 3170 6.0;
  • 12 credits at the 4000 level, selected from list 1 courses, for an overall total of at least 39 credits from major SC/MATH courses.

Honours Minor

  • SC/COSC 1540 3.0;
  • SC/MATH 1013 3.0; SC/MATH 1014 3.0; SC/MATH 1021 3.0;
  • SC/MATH 2015 3.0; two of SC/MATH 2041 3.0, SC/MATH 2222 3.0 (or SC/MATH 2022 3.0), SC/MATH 2270 3.0;
  • at least nine more credits, including at least one of SC/MATH 3170 6.0 or SC/MATH 3241 3.0 or SC/MATH 3260 3.0, and the remaining credits from list 1 courses, for an overall total of at least 27 credits from major SC/MATH courses.

II. Computational Mathematics Program

Specialized Honours Program

  • SC/COSC 1020 3.0; SC/COSC 1030 3.0; SC/COSC 2031 3.0; SC/COSC 2041 3.0
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • SC/MATH 1013 3.0; SC/MATH 1014 3.0; SC/MATH 2015 3.0 or approved equivalents
  • SC/MATH 1021 3.0; SC/MATH 2022 3.0;
  • SC/MATH 2030 3.0; SC/MATH1131 3.0;
  • SC/MATH 1016 1.0; SC/MATH 1017 1.0; SC/MATH 2018 1.0; or SC/MATH 2131 3.0; SC/MATH 1190 3.0
  • SC/MATH 3090 3.0; SC/MATH4090 3.0;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

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

Applied and Industrial Mathematics

  • SC/MATH 2270 3.0; SC/MATH 2042 3.0; SC/MATH 3241 3.0; SC/MATH 3242 3.0; SC/MATH 4141 3.0; SC/MATH 4142 3.0.

Financial Mathematics

  • SC/MATH 2280 3.0; SC/MATH 3170 6.0;
  • AS/ECON 1000 3.0; AS/ECON 1010 3.0;
  • three credits from 4000 level SC/MATH courses in financial mathematics.

Actuarial Mathematics

  • SC/MATH 2280 3.0; SC/MATH 3280 3.0; SC/MATH 3033 3.0; SC/MATH 4280 3.0; SC/MATH 4430 3.0; SC/MATH 4431 3.0; three credits from 4000-level SC/MATH courses in financial mathematics.

III. Mathematics Programs

Bachelor Program

  • SC/COSC 1520 3.0; SC/COSC 1530 3.0 or SC/MATH 2041 3.0; or equivalents;
  • SC/MATH 1021 3.0; SC/MATH 1300 3.0 and SC/MATH 1310 3.0, or equivalents;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • SC/MATH 1090 3.0 or SC/MATH 1190 3.0 or SC/MATH 2090 3.0 or SC/MATH 2320 3.0;
  • SC/MATH 2022 3.0; SC/MATH 2310 3.0;
  • at least 12 credits from major (i.e. without second digit 5) SC/MATH courses, or approved or equivalent courses, at the 3000 level or higher, for a total of at least 30 credits from major SC/MATH courses;
  • additional elective credits, as required for an overall total of at least 90 credits, including at least 66 credits from science courses and at least 18 credits at the 3000 or higher level.

Note: Mathematics Honours core courses SC/MATH 1000 3.0, SC/MATH 1010 3.0 and SC/MATH 2010 3.0 may replace SC/MATH 1300 3.0, SC/MATH 1310 3.0 and SC/MATH 2310 3.0, respectively.

Honours Programs

Mathematics Honours Core

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

  • SC/MATH 1000 3.0; SC/MATH 1010 3.0;
  • SC/MATH 1021 3.0; SC/MATH 2022 3.0;
  • SC/MATH 1090 3.0 or SC/MATH 1190 3.0 or SC/MATH 2090 3.0 or SC/MATH 2320 3.0;
  • SC/MATH 2010 3.0; SC/MATH 3010 3.0;
  • SC/MATH 3020 6.0, or both SC/MATH 3131 3.0 and SC/MATH 3132 3.0;
  • SC/MATH 3210 3.0;
  • six credits from SC/MATH 4000 3.0/4000 6.0 (projects in pure mathematics), SC/MATH 4010 6.0, SC/MATH 4020 6.0, SC/MATH 4030 3.0, SC/MATH 4080 6.0, SC/MATH 4110 3.0, SC/MATH 4120 3.0, SC/MATH 4130 3.0, SC/MATH 4140 3.0, SC/MATH 4150 3.0, SC/MATH 4160 3.0, SC/MATH 4170 6.0, SC/MATH 4230 3.0, SC/MATH 4250 6.0, SC/MATH 4280 3.0, SC/MATH 4290 3.0, SC/MATH 4430 3.0, SC/MATH 4630 3.0, SC/MATH 4730 3.0.

Note: Students may substitute non-Honours versions of the sequence SC/MATH 1000/1010/2010, but any student who does not complete SC/MATH 1010 3.0 must take SC/MATH 3110 3.0 above and beyond the normal Honours requirements. If one or more of SC/MATH 1021 3.0 or SC/MATH 2022 3.0 is replaced by other linear algebra courses and if the grades obtained were less than A, then SC/MATH 2090 3.0 or SC/MATH 2320 3.0 must be taken above and beyond the normal Honours requirements.

Specialized Honours Program

  • the mathematics Honours core;
  • SC/COSC 1520 3.0; SC/COSC 1530 3.0 or SC/MATH 2041 3.0; or equivalents;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • at least six additional credits from major SC/MATH courses at the 4000 level (these must include either SC/MATH 4010 6.0 or SC/MATH 4020 6.0 if neither was taken as part of the mathematics Honours core);
  • at least 24 additional credits from major (i.e. without second digit 5) SC/MATH courses, or approved or equivalent courses, for a total of at least 66 credits from major SC/MATH courses;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Double Major and Honours Major/Minor Programs

An Honours Major in mathematics may be combined with an Honours Major in another subject area in a BSc Honours Double Major degree program or with an Honours Minor in another subject area in a BSc Honours Major/Minor degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Pure and Applied Science Undergraduate Degree and Certificate Programs section of this Calendar.

  • SC/COSC 1520 3.0; SC/COSC 1530 3.0 or SC/MATH 2041 3.0; or equivalents;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above and including courses appropriate for the second major or the minor;
  • the mathematics Honours Major requirements below;
  • the course requirements for the second major or the minor;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90* credits from science courses and at least 42 credits at the 3000 or higher level.

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

Honours Major

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

Honours Minor

  • SC/MATH 1300 3.0; SC/MATH 1310 3.0;
  • SC/MATH 1021 3.0; SC/MATH 2022 3.0;
  • SC/MATH 1090 3.0 or SC/MATH 1190 3.0 or SC/MATH 2090 3.0 or SC/MATH 2320 3.0;
  • SC/MATH 2310 3.0;
  • at least 12 credits from major (i.e. without second digit 5) SC/MATH courses, or approved or equivalent courses, at the 3000 or higher level, for an overall total of at least 30 SC/MATH credits.

Note: Mathematics Honours core courses SC/MATH 1000 3.0, SC/MATH 1010 3.0 and SC/MATH 2010 3.0 may replace SC/MATH 1300 3.0, SC/MATH 1310 3.0 and SC/MATH 2310 3.0, respectively.

IV. Statistics Programs

Bachelor Program

  • SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or equivalents;
  • six credits from 1000-level major (i.e. without second digit 5) SC/MATH courses in calculus;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
  • SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH 2131 3.0;
  • SC/MATH 2310 3.0 or SC/MATH 2015 3.0 or both SC/MATH 2010 3.0 and SC/MATH 3010 3.0;
  • SC/MATH 3033 3.0; SC/MATH 3131 3.0;
  • at least three additional credits from 3000- or 4000-level SC/MATH courses with third digit 3 (excluding SC/MATH 3330 3.0), for a total of at least 33 credits from major SC/MATH courses;
  • additional elective credits, as required for an overall total of at least 90 credits, including at least 66 credits from science courses and at least 18 credits at the 3000 or higher level.

* Note: SC/MATH 1025 3.0, SC/MATH 2221 3.0 and SC/MATH 2222 3.0 will be accepted in this program, but are not recommended.

Specialized Honours Program

  • SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or equivalents;
  • SC/MATH 1000 3.0; SC/MATH 1010 3.0; SC/MATH 1021 3.0; SC/MATH 1131 3.0;
  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above;
  • SC/MATH 2010 3.0; SC/MATH 2022 3.0;
  • SC/MATH 2030 3.0; SC/MATH 2131 3.0;
  • SC/MATH 3010 3.0; SC/MATH 3210 3.0;
  • SC/MATH 3033 3.0; SC/MATH 3034 3.0; SC/MATH 3131 3.0; SC/MATH 3132 3.0; SC/MATH 3430 3.0;
  • 12 credits from 4000-level SC/MATH courses with third digit 3;
  • nine additional credits from major (second digit not 5) SC/MATH courses, for a total of at least 66 credits from major SC/MATH courses;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Double Major Program

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

  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above and including courses appropriate for the second major;
  • the statistics Honours Major requirements (for BSc Honours Double Major programs) below;
  • the course requirements for the second major;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Major (for BSc Honours Double Major Programs)

  • SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or equivalents;
  • six credits from 1000-level major (i.e. without second digit 5) SC/MATH courses in calculus;
  • SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
  • SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH 2131 3.0;
  • SC/MATH 2010 3.0 and SC/MATH 3010 3.0, or SC/MATH 2015 3.0, or SC/MATH 2310 3.0;
  • SC/MATH 3033 3.0; SC/MATH 3131 3.0;
  • nine additional credits from 3000- or 4000-level SC/MATH courses with third digit 3 (excluding SC/MATH 3330 3.0), for an overall total of at least 39 credits from major SC/MATH courses.

* Note: SC/MATH 1025 3.0, SC/MATH 2221 3.0 and SC/MATH 2222 3.0 will be accepted in this program, but are not recommended.

Honours Major/Minor Programs

An Honours Major in Statistics may be combined with an Honours Minor in another subject area in a BSc Honours Major/Minor degree program. Possible subject combinations are listed under Undergraduate Degree Programs in the Faculty of Pure and Applied Science Undergraduate Degree and Certificate Programs section of this Calendar.

  • the Faculty of Pure and Applied Science general education and 1000-level science requirements, as specified in ii) above and including courses appropriate for the minor;
  • the statistics Honours Major requirements (for BSc Honours Major/Minor programs) below;
  • the course requirements for the minor;
  • additional elective credits, as required for an overall total of at least 120 credits, including at least 90 credits from science courses and at least 42 credits at the 3000 or higher level.

Honours Major (for BSc Honours Major/Minor Programs)

  • SC/COSC 1520 3.0 and SC/COSC 1530 3.0, or SC/COSC 1540 3.0, or SC/COSC 1020 3.0 and SC/COSC 1030 3.0, or equivalents;
  • SC/MATH 1000 3.0*; SC/MATH 1010 3.0*;
  • SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
  • SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH 2131 3.0;
  • SC/MATH 2015 3.0 or SC/MATH 2310 3.0;
  • SC/MATH 3033 3.0; one of SC/MATH 3034 3.0 or SC/MATH 3430 0;
  • SC/MATH 3131 3.0; SC/MATH 3132 3.0;
  • 12 credits from 4000-level SC/MATH courses with third digit 3, for an overall total of at least 48 credits from major SC/MATH courses.

* Note: For calculus and linear algebra, the courses SC/MATH 1013 3.0, SC/MATH 1014 3.0, SC/MATH 1300 3.0, SC/MATH 1310 3.0, SC/MATH 1025 3.0, SC/MATH 2221 3.0 and SC/MATH 2222 3.0 will be accepted in this program, but are not recommended.

Honours Minor

  • first-year calculus (six credits at the 1000 level without second digit 5);
  • SC/MATH 1021 3.0*; SC/MATH 2022 3.0*;
  • SC/MATH 1131 3.0; SC/MATH 2030 3.0; SC/MATH 2131 3.0;
  • nine additional credits from 2000- or higher-level SC/MATH courses with third digit 3, for an overall total of at least 30 SC/MATH credits.

* Note: SC/MATH 1025 3.0, SC/MATH 2221 3.0 and SC/MATH 2222 3.0 will be accepted in this program, but are not recommended.

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