York University

Undergraduate Minicalendar

Fall/Winter 1997/98

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:

**General Education Requirements:**

NATS 1000-level course (6 credits). 9 credits 1000-level HUMA Foundations course, plus 9 credits

2000-level SOSC Foundations course (or 2000-level HUMA and 1000-level SOSC). (The requirement is different for students who entered York before 1997.)

**Elective Courses:**

All students majoring in a programme in this Department must take at least 18 credits(1)*outside the Department*which are*not required*in their programmes. (E.g., COSC1540 is*not*an elective in the Applied Mathematics BA programme.)**Degree Programme Selection:**

Each student must choose a departmental programme (see the following four pages and also the section "Programmes" near the front of this booklet), in which to complete one of the following degrees:- Specialized Honours
- Double Honours(2)
- Honours Major
- Honours Major/Minor(3)
- Ordinary Major

**"Residence" Requirement(4), Course Requirements:**

Ordinary Degrees:- At least 90 credits must be completed.
- 30 must be from York University.
- At least 24 must be "in-Faculty"(5).
*"Major" requirement*: At least half of the required Major credits must be "in-Faculty"(5).- At least 18 must be in courses at the 3000-level or higher. 12 of these 18 must be in the Major.

- At least 120 credits must be completed.
- 30 must be from York University.
- At least 24 must be "in-Faculty"(5).
*"Major" requirement*: At least half of each Major's or Minor's required credits must be "in-Faculty"(5).- At least 36 credits must be at the 3000-level or higher. 18 of these must be at the 4000-level (of which 12 must be in the Major).

**GPA Requirements:**

**Ordinary:**- A credit-weighted grade-point average of at least 4.0, over all courses taken, is required to graduate. At most 12 credits may be taken beyond the required 90, to raise the g.p.a. above 4.0 (and they must be above the 1000-level).
**Honours:**- An overall c.w.g.p.a. of at least 5.0 must be maintained.

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

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) __

Notes: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

- The year levels merely indicate years in which the courses are normally taken (Fall term first line, Winter term second).
- Or MATH1000/1010.
- Recommended (not required).
- Or MATH4000.06.
- Or MATH1000/1010, or MATH1300/1310.
- Or MATH2221.
- 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 _____________- 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.
- Or MATH2010.03.
- Note that MATH1090 may not be taken if any 3000-level MATH course is being, or has been, taken.
- 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.
- 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.*

Notes:**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.- MATH1131/1132 and MATH2560/2570 are presently interchangeable.
- Or MATH3033.03.
- Or MATH3034.03.
- 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.
- This may be replaced by MATH2280.03 plus 3 more MATH credits.
- 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)- 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.
- Or MATH2010.03.
- 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.
- This may be replaced by MATH2560+2570 provided the student averages "B" or better in these.
- A student who may wish subsequently to pursue an Honours degree should consider taking MATH2021+2022 instead.
- Or MATH2010.03 or MATH2015.03.
- 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):- 12 credits chosen from BIOL1010.06, CHEM1010.06, EATS1010.06, (MATH2041 + 2042)(1), (PHYS1410.06 or PHYS1010.06)
- 12 credits "General Education" courses at least 3 credits in each of two approved areas outside Science. See an advisor for the latest regulations.
- at least 3, and often 6, COSC credits -- see individual programme requirements on the next three pages.

**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:

- Specialized Honours
- Combined Honours(2)
- Ordinary Major

**Total Credit Requirements:****Ordinary Degrees:**- At least 90 credits must be completed.
- At least 66 must be in SC courses.
- At least 18 must be in courses at the 3000-level or higher.

**Honours Degrees:**- At least 120 credits must be completed.
- At least 90 must be in SC courses.
- At least 42 must be in courses at the 3000-level or higher.

**GPA Requirements:****Honours:**- To "declare":
- At least 24 credits passed, and a minimum c.c.w.g.p.a (cumulative credit-weighted grade-point average) of at least 5.0 over all SC courses completed.
- To proceed:
- Each year, a c.c.w.g.p.a. of at least 5.0 in SC courses.
- To graduate:
- C.c.w.g.p.a at least 5.0 in all SC courses completed.
- Note:
- A maximum of 6 credits from 1000-level College courses may be counted towards a BSc degree.

Notes:

- 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.
- 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:**Year 1: MATH1013/1014/1025/1090, COSC1020/1030, PHYS1010,5 SOSC.06**Year 2: MATH2015/2270/2090, COSC2001/2011/2021, EATS1010,5 HUMA.06**Year 3: MATH2222/2030/2041/2042/3241/3242, COSC32xx,33xx,34xx plus 3 credits from List B.**Year 4: 6 credits from List B, 12 credits in COSC at the 4000-level plus additional credits to satisfy faculty regulations*

*Physics and Applied Mathematics:* *Year 1: MATH1013/1014/1025, COSC1540, PHYS1010, CHEM1010, SOSC.06**Year 2: MATH2015/2222/2041/2042/2270, PHYS2010/2020/2040/2221/2212, HUMA.06**Year 3: MATH2030/3241/3242/3271/3410, PHYS2060/3010/3040**Year 4: PHYS3210/3020/4010/4020. Select 15 additional credits with at least 3 from List B.*Notes:

- The year levels merely indicate years in which the courses are normally taken (Fall term first line, Winter term second).
- Or MATH1000/1010.
- Recommended (not required).
- Or MATH4000.06.
- 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:- 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.
- Or MATH2010.03.
- Note that MATH1090 may not be taken if any 3000-level MATH course is being, or has been, taken.
- 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.
- 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:- This may be replaced by MATH2560+2570, provided the student averages "B" or better in these.
- This may be replaced by MATH2015.03 or MATH2010.03.
- This pair may be replaced by MATH1025+2222 or by MATH2021+2022.
- 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.
- For these degrees, careful planning is necessary to ensure that MATH and other prerequisites are met.

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