Department of Mathematics and Statistics
York University
Undergraduate Minicalendar
Fall/Winter 1997/98

Degree Programme Checklists


Summary of Faculty Requirements: Faculty of Arts

The following is not intended to be a complete list of the many requirements of which you should be aware. For that, see the main York Calendar and/or an advisor. Moreover, the regulations that apply to you vary according to the year you entered York.

All students must fulfill the following requirements:

Notes:
  1. Not applicable to Double Honours or Honours Major/Minor candidates.
  2. Choose two different Honours programmes (e.g., Mathematics and Economics, or Mathematics and Statistics).
  3. Choose one Honours Major and a distinct Honours Minor.
  4. Requirements that a certain number of your courses must "live" in your Faculty and/or Department.
  5. See discussion of this phrase under "Information for Majors" near the front of this booklet.


Applied Mathematics BA Programmes: Faculty of Arts


List A (Programme Core):

     Year 1(1):     MATH1013.03(2)  __    COSC1540.03  __    MATH1016.01(3)  __ 
                    MATH1014.03(2)  __    MATH1025.03  __    MATH1017.01(3)  __ 
     Year 2:        MATH2015.03     __    MATH2222.03  __    MATH2041.03     __
                    MATH2270.03     __    MATH2030.03  __    MATH2042.03     __
     Year 3:        MATH3241.03     __    Select additional courses from 
                    MATH3242.03           List B below, as indicated by your
                                          programme.     
 
List B:
 MATH3110.03  __    MATH3131.03     __    MATH3170.06  __    MATH3260.03     __
 MATH3270.03  __    MATH3271.03     __    MATH3272.03  __    MATH4141.03     __
 MATH4142.03  __    MATH4160.03     __    MATH4170.06  __    MATH4241.03     __
 MATH4270.03  __    MATH4430.03     __    MATH4470.03  __    MATH4000.03(4)  __

Note: See also the "areas of concentration" in column 2 on page 6, when choosing upper-year courses.

Specialized Honours:
                    List A completed  __   MATH3260.03  __   MATH3410.03     __

                    If MATH1010 has not been completed: MATH3110       (__)
                    Choose 21 more credits from AS/SC/MATH courses without 
                    second digit "5".  These must all be at the 3000-level 
                    or higher.  At least 15 of the 21 must come from List B, 
                    and of those 15, 12 must be at the 4000-level
                    or higher. Students are encouraged to enrol in MATH4000.

Honours Major, Double Honours:
                    List A completed  __    and 12 credits at the 4000-level 
                                            (at least 6 from List B).


Ordinary:
                    List A completed  __    Choose 9 more credits from 
                                            AS/SC/MATH courses without second 
                                            digit "5". These must all be at 
                                            the 3000-level or higher, and 6 
                                            must be from List B.
Honours Minor:(7)
                    This programme is pursued jointly with any 42 credit Honours
                    programme in Arts (for  example, Economics, Psychology, 
                    Geography, Sociology, Physical Education).  MATH1013.03/1014.035, 
                    COSC1540.03, MATH1025.036, MATH2015.03 
                    Two of: MATH2041.03, MATH222.03, MATH2270.03
                    9 credits from List B, including MATH3170 or MATH3241 or MATH3260

Notes:
  1. The year levels merely indicate years in which the courses are normally taken (Fall term first line, Winter term second).
  2. Or MATH1000/1010.
  3. Recommended (not required).
  4. Or MATH4000.06.
  5. Or MATH1000/1010, or MATH1300/1310.
  6. Or MATH2221.
  7. Note that NO 4000-level MATH credits are required in this programme.


    Mathematics BA Programmes: Faculty of Arts

    
    
    
    Important:  For a summary of Faculty degree requirements, see above.
    
    Honours Core:
     MATH1000.03  __       MATH1010.031   __    MATH2310.032   __ 
     One of: MATH1090.033, MATH2090.03, MATH2320.03   ___________
    
     MATH2021.03(4)  __    MATH2022.034   __    MATH3010.03    __    MATH3210.03  __ 
     Either MATH3020.06 or (MATH3131.03 + MATH3132.03) __________
    
     6 credits   chosen from the MATH courses:
       4000.06/.03 4010.06   4020.06   4030.03   4050.06   4080.06   4110.03   
       4120.03     4130.03   4140.03   4150.03   4160.03   4170.06   4210.03   
       4230.03     4250.06   4280.03   4290.03   4430.03   4630.03   4730.03
    
    Specialized Honours:
         Honours Core completed  __    MATH4010.06 or MATH4020.06  __ 
         24 more MATH credits (without second digit "5")
    
    Honours Major, Double Honours:
         Honours Core completed  __    6 more MATH credits (without second digit "5") 
                                       at 4000-level
    
    Ordinary, Honours Minor(6):
         MATH1300.03(5)  __    MATH1310.03(5)  __    MATH2310.03(5)  __
         MATH2221.03     __    MATH2222.03     __ 
         One of: MATH1090.033, MATH2090.03, MATH2320.03   _____________
         12 more MATH credits (without second digit "5"), at the 3000-level or higher
                                                          _____________
    
    
    Notes:
    1. Courses from the sequence MATH1300/1310/2310 or the sequence MATH1013/1014/2015 maybe be substituted for the corresponding courses in the sequence MATH1000/1010/2310. BUT: Any student who has not completed MATH1010.03 will have to take MATH3110.03 over and above the other programme requirements.
    2. Or MATH2010.03.
    3. Note that MATH1090 may not be taken if any 3000-level MATH course is being, or has been, taken.
    4. Or MATH2221.03+MATH2222.03 with an A grade in both. If grade in either is less than A, student must take TWO of: MATH1090, 2090, 2320.
    5. Or MATH1000/1010/2010. 6Note that NO 4000-level MATH credits are required in this programme.


    Mathematics for Commerce BA Programmes: Faculty of Arts

    Math for Commerce may not be taken jointly with another subject in a Double Major or Major/Minor programme. For a summary of Faculty degree requirements, see above. In particular, see Notes 4 below.

    Common Core (Honours Actuarial, Honours Operations Research):
       MATH1300.03+1310.03  ____    MATH1131.03(1)+1132.03(1)  ____   COSC1520.03+1530.03  ____ 
       MATH2221.03+2222.03  ____    MATH2310.03  __     MATH3170.06  __   MATH3330.03(2)  __    
    
    Honours Actuarial Stream:
       Common Core completed  __    MATH2280.03     __     MATH2030.03  __   
                 MATH3130.03  __    MATH3230.03(3)  __     MATH3280.06  __ 
                 MATH4280.03  __     9 more 4000-level MATH credits(4)  __ 
    
    Honours Operations  Research Stream:
       Common Core completed  __       One of: MATH3230.033 or 3430.03  __ 
                 MATH4170.06  __     6 more 4000-level MATH credits(4)  __  
    
    
    Courses required for both the Ordinary BA and the Honours General Stream:
       COSC1520.03+1530.03   ____       MATH1550.06 or (MATH1530.03+1540.03)   ____
       MATH2221.03+2222.03   ____       MATH2560.03+2570.03   ____     MATH2580.06(5)   __ 
            MATH3330.03(2)   __         One of: MATH3230.033 or 3430.03  __   MATH3170.06   __ 
    
    Honours General Stream:
            Above courses completed  __ 
            Further requirements:(4)
                   The "other" of MATH3230.03 or 3430.03    __
                   MATH4730.03+4930.03   ____                  MATH4570.06(6)   __
    
    
    Ordinary DegreeL
           The above courses satisfy the departmental requirements.
    
    
    
    Notes:
    1. MATH1131/1132 and MATH2560/2570 are presently interchangeable.
    2. Or MATH3033.03.
    3. Or MATH3034.03.
    4. Note that in all three honours streams, departmental 4000-level requirements fall 6 credits short of Arts faculty requirements. Students must plan ahead (even from first year) to ensure that they have the prerequisites for 6 credits at the 4000-level in some subject. One possibility is ECON4500.03+4510.03, which has only ECON1000/1010 as prerequisite.
    5. This may be replaced by MATH2280.03 plus 3 more MATH credits.
    6. This may be replaced by MATH4170.06.


    Statistics BA Programmes: Faculty of Arts

    
    
    
    Important:  For a summary of Faculty degree requirements, see above.
    
    List A (Specialized Honours, Honours Major, Double Honours Core):
       MATH1000.03+1010.03(1)  ____    MATH1131.03+1132.03  ____   MATH2021.03+2022.03(1)   ____ 
       MATH2310.03(2)+3010.03  ____    MATH2030.03+3033.03  ____   MATH3131.03+3132.03      ____
    
    Specialized Honours:
         List A completed  __
              MATH3210.03  __    MATH3034.03  __   MATH3430.03  __ 
    
         12 credits of 4000-level AS/MATH courses with third digit "3"    _____
    
         9 more credits of AS/MATH courses without second digit "5"       _____
    
    Honours Major, Double Honours:
         List A completed(1),(3)   __
         Either MATH3034.03 or MATH3430.03   __
         12 credits of 4000-level AS/MATH courses with third digit "3"    _____
    
    
    List B (Core for Honours Minor or Ordinary Degree):
    
         First year calculus (6 credits, without second digit "5")        _____
    
         MATH1131.03+1132.03(4)   ____          MATH2221.03+2222.03(5)    _____
    
    Honours Minor:
    
         List B completed  __
         12 more credits of AS/MATH courses with third digit "3", at 2000-level or 
         higher                                                           _____
    
    
    Ordinary Degree:
    
          List B completed   __    MATH2310.03(6),(2)  __   MATH2030.03  __ 
          MATH3033.03        __    MATH3131.03         __   3 more credits of AS/MATH
                                                            courses at 3000- or 4000-level 
                                                            with third digit "3".(7)
    
    
    Notes:
    1. In Honours Major or Double Honours only, it is permitted but not recommended to make the following substitutions: MATH1300+1310 or MATH1013+1014 for MATH1000+1010. MATH1025 or MATH2221 for MATH2021. MATH2222 for MATH2022.
    2. Or MATH2010.03.
    3. MATH3010 is not required for any programme except Specialized Honours. A student doing Honours Major or Double Honours can replace MATH2310+3010 by MATH2010 or MATH2015.
    4. This may be replaced by MATH2560+2570 provided the student averages "B" or better in these.
    5. A student who may wish subsequently to pursue an Honours degree should consider taking MATH2021+2022 instead.
    6. Or MATH2010.03 or MATH2015.03.
    7. Excluding MATH3330 and MATH3230.


    Summary of Faculty Requirements: Faculty of Pure and Applied Science

    The following is not intended to be a complete list of the many requirements of which you should be aware. For that, see the main York Calendar. All candidates must complete the following (in addition to 1000-level MATH requirements): Degree Programme Selection:

    Each student must choose a departmental programme (see the following three pages and also the section "Programmes" near the front of this booklet), in which to complete one of the following degrees:

    Total Credit Requirements:

    GPA Requirements: See also "in-department, in-faculty credit" under "Information for Majors" near the front of this booklet.

    Notes:

    1. If MATH2041+2042 is chosen, the student must also ensure that (s)he takes a to tal of at least 24 1000-level science (SC) credits. These 24 may NOT include any of: CHEM1520, MATH1500, MATH1510, MATH1525, PHYS1510, nor any NATS courses.
    2. Choose two different Honours programmes (e.g., Mathematics and Physics, or App lied Mathematics and Statistics).

    Applied Mathematics BSc Programmes: Faculty of Pure and Applied Science

    
    List A (Programme Core):
      Year 1(1):   MATH1013.03(2)   __   COSC1540.03  __   MATH1016.01(3)  __
                   MATH1014.03(2)   __   MATH1025.03  __   MATH1017.01(3)  __
      Year 2:      MATH2015.03      __   MATH2222.03  __   MATH2041.03     __ 
                   MATH2270.03      __   MATH2030.03  __   MATH2042.03     __ 
      Year 3:      MATH3241.03      __   Select additional courses from List B below, 
                   MATH3242.03           as indicated by your programme.  
    
    List B:
     MATH3110.03  __   MATH3131.03  __   MATH3170.06  __   MATH3260.03     
     MATH3270.03  __   MATH3271.03  __   MATH3272.03  __   MATH4141.03     
     MATH4142.03  __   MATH4160.03  __   MATH4170.06  __   MATH4241.03     
     MATH4270.03  __   MATH4430.03  __   MATH4470.03  __   MATH4000.03(94)
    
    
    Note: See also the  "areas of concentration" when choosing upper-year courses.
    
    Specialized Honours:
    
      List A completed  __      MATH3260.03  __    MATH3410.03  __ 
      If MATH1010 has not been completed: MATH3110       (__)
      Choose 24 more credits from AS/SC/MATH courses without second digit "5".
      These must all be at the 3000-level or higher.
      At least 15 of the 24 must come from List B, and of those 15, 12 must be at 
      the 4000-level or higher. Students are encouraged to enrol in MATH4000.
    
    Combined Honours,Ordinary:
    
      List A completed  __      Choose 9 more credits from AS/SC/MATH courses
                                without second digit "5". These must all be at the 3000-
                                level or higher, and 6 must be from List B.
    
    
    Combined Honours Degrees:

    Applied Mathematics can be combined with degree programmes in Physics, Chemistry, EATS, Computer Science, Physical Education, Biology, Psychology, Statistics or Pure Mathematics. Consult the undergraduate programme directors for details. For example, here are suggested course selections for Combined Honours degrees with Computer Science and with Physics:

    Computer Science and Applied Mathematics:

    Physics and Applied Mathematics:
  8. Year 1: MATH1013/1014/1025, COSC1540, PHYS1010, CHEM1010, SOSC.06
  9. Year 2: MATH2015/2222/2041/2042/2270, PHYS2010/2020/2040/2221/2212, HUMA.06
  10. Year 3: MATH2030/3241/3242/3271/3410, PHYS2060/3010/3040
  11. Year 4: PHYS3210/3020/4010/4020. Select 15 additional credits with at least 3 from List B.
    Notes:
    
    
    1. The year levels merely indicate years in which the courses are normally taken (Fall term first line, Winter term second).
    2. Or MATH1000/1010.
    3. Recommended (not required).
    4. Or MATH4000.06.
    5. Only one of these is needed to satisfy FPAS requirements for lab courses.

    Mathematics BSc Programmes: Faculty of Pure and Applied Science

    
    
    
    Important:  For a summary of Faculty degree requirements, see above.
    
    
    Honours Core:
     COSC1520.03 + COSC1530.03, or equivalents  ______________
     MATH1000.03  __      MATH1010.03(1)  __   MATH2310.03(2)  __ 
     One of: MATH1090.03(3), MATH2090.03, MATH2320.03      ____
    
     MATH2021.03(4)  __    MATH2022.03(4)   __     MATH3010.03   __  MATH3210.03  __ 
     Either MATH3020.06 or (MATH3131.03 + MATH3132.03)             _______
    
     6 credits   _______     chosen from the MATH courses:
       4000.06/.03    4010.06   4020.06   4030.03   4050.06   4080.06   4110.03  
       4120.03        4130.03   4140.03   4150.03   4160.03   4170.06   4210.03  
       4230.03        4250.06   4280.03   4290.03   4430.03   4630.03   4730.03
    
    Specialized Honours:
       Honours Core completed     __       MATH4010.06 or MATH4020.06     __
       24 more MATH credits (without second digit "5")
    
    Combined Honours:
       No departmental requirements beyond the Honours Core.
    
    
    Ordinary  Programme:
       COSC1520.03 + COSC1530.03, or equivalents  ______________
       MATH1300.03(5)   __   MATH1310.03(5)    __     MATH2310.035    __
       MATH2221.03      __   MATH2222.03       __ 
       One of: MATH1090.033, MATH2090.03, MATH2320.03    _________
      12 more MATH credits (without second digit "5"), at the 3000-level or higher
    
    
    Notes:
    
    
    1. Courses from the sequence MATH1300/1310/2310 or the sequence MATH1013/1014/2015 maybe be substituted for the corresponding courses in the sequence MATH1000/1010/2310. BUT: Any student who has not completed MATH1010.03 will have to take MATH3110.03 over and above the other programme requirements.
    2. Or MATH2010.03.
    3. Note that MATH1090 may not be taken if any 3000-level MATH course is being, or has been, taken.
    4. Or MATH2221.03+MATH2222.03 with an A grade in both. If grade in either is less than A, student must take TWO of: MATH1090, 2090, 2320.
    5. Or MATH1000/1010/2010.

    Statistics BSc Programmes: Faculty of Pure and Applied Science

    
    
    Important:  For a summary of Faculty degree requirements, see above.
    
    
    
    Specialized Honours:
         
       COSC1020.03 + COSC1030.03, or COSC1520.03 + COSC1530.03, or
        COSC1540.03, or equivalents  ______________
       MATH1000.03+1010.03  ____    MATH1131.03+1132.03  ____   MATH2021.03+2022.0   ____
       MATH2310.03+3010.03  ____    MATH2030.03          __     MATH3131.03+3132.03  ____ 
       MATH3033.03+3034.03  ____    MATH3210.03          __     MATH3430.03         __ 
    
       12 credits from 4000-level SC/MATH courses with third digit "3"
    
       9 more credits from SC/MATH courses (without second digit "5")
    
    
    Core for Combined Honours and Ordinary Degree:
       First-year calculus (6 credits, without second digit "5")
    
       MATH1131.03+1132.031  ____   MATH2310.032+2030.03  ____  MATH2221.03+2222.03  ____
       MATH3131.03           __     MATH3033.034          __
    
    
    Combined Honours:
       Above Core courses completed    ____ 
       9 more credits from 3000- or 4000-level SC/MATH courses with third digit "3" 
       (excluding MATH3330.03 and MATH3230.03)
    
    
    Ordinary Degree:
       Above Core courses completed           
       At least 3 more credits from 3000- or 4000-level SC/MATH courses with third digit "3" (excluding MATH3330.03 and MATH3230.03)
    
    
    Notes:
    
    
    1. This may be replaced by MATH2560+2570, provided the student averages "B" or better in these.
    2. This may be replaced by MATH2015.03 or MATH2010.03.
    3. This pair may be replaced by MATH1025+2222 or by MATH2021+2022.
    4. Students who enrolled in Combined Honours Statistics before 1996/97, and who complete 12 credits from 3000- or 4000-level SC/MATH courses with second digit "3" (excluding MATH3330 and MATH3230) before January 1999, are not required to take MATH3033, but are strongly urged to do so.
    5. For these degrees, careful planning is necessary to ensure that MATH and other prerequisites are met.

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