# Mathematics (MATH)

## Mathematics (MATH)

The Department of Mathematics and Computing Science offers a broad range of courses, including introductory courses intended for students with little mathematical or computing science background; preparatory courses for students intending to enter fields requiring mathematics or computing science; and specialized courses for more advanced mathematics and computing science students. The Department of Mathematics and Computing Science offers MATH courses required for the Engineering program, and a selection of 1000-level courses from which Science students select to fulfill the Faculty of Science B.Sc requirement 6b. Details on both the requirement and how it is satisfied for the different majors are found in the Faculty of Science section of this Calendar. (the requirements for B.Sc are found on page 63)

## Requirements for a Major in Mathematics

A Major in Mathematics can be completed in either a Bachelor of Arts or Bachelor of Science Program. In the latter case, students must receive a minimum grade of C in each of the required courses listed below [see Faculty of Science Regulation 6 (h)].

1. MATH 1210 and MATH 12112. CSCI 1226 and one of CSCI 1227 or CSCI 1228.

3. MATH 2310

4. MATH 2311

5. MATH 2301 and MATH 2321

6. MATH 4420 and MATH 3441

7. Six (6) credit hours in MATH at the 3000 level or above

8. Twelve (12) additional credit hours in MATH courses numbered 1216 or 2303 or above, chosen by the student in consultation with the Department.

**Note: **Students pursuing a major in MATH may receive credit for only one of: BIOL 3308, MATH 1207, MGSC 2207, and PSYC 2350.

A suggested program sequence for a B.Sc. with Major in Mathematics is as follows:

**Year 1**

MATH 1210 Introductory Calculus I

MATH 1211 Introductory Calculus II

CSCI 1226 Introduction to Computing Science

CSCI 1227 Computer Programming and Problem Solving**OR** CSCI 1228 Advanced Computer Programming and Problem Solving

ENGL 1205 Introduction to Literature

Three (3) credit hours Humanities electives

Six (6) credit hours Arts electives

Six (6) credit hours non-Mathematics Science electives

**Year 2**

MATH 2311 Intermediate Calculus

MATH 2301 Applied Linear Algebra

MATH 2321 Linear Algebra II

Six (6) credit hours MATH electives (MATH 1216 or MATH 2303 and above)

Six (6) credit hours Arts electives

Six (6) credit hours non-Mathematics Science electives

**Year 3**

Six (6) credit hours Mathematics electives (1216 or 2305 and above)

Twenty-four (24) credit hours electives

**Year 4**

MATH 4420 Abstract Algebra I

Six (6) credit hours MATH electives at 3000 level or above

Eighteen (18) credit hours electives

**Requirements for a Double Major in Mathematics and a subject other than Computing Science or Physics**

The Departmental requirements for a double major in mathematics and a subject other than computing science or physics are the same as the requirements for a major in mathematics. Students enrolled in a double major in mathematics and a subject other than computing science or physics may substitute another mathematics course approved by the department chair in lieu of MATH 4420 and MATH 3441.

## Requirements for Honours in Mathematics

The honours program is designed for mathematics majors of above average ability. Mathematics majors in Year 2 with a CGPAof at least 2.50, and with a GPAof at least 3.00 in their mathematics courses, should consider enrolling in the honours program, and are advised to consult with the Department before making a final decision. Students are required to achieve a DGPA of at least 3.00 out of 4.30 to graduate with Honours.

**The Departmental requirements for honours in mathematics are:**

1. MATH 1210 and MATH 1211

2. CSCI 1226 and one of CSCI 1227 or CSCI 1228.

3. MATH 2310 and MATH 2311

4. MATH 2301 and MATH 2321

5. MATH 3441, MATH 4420, MATH 4421 and MATH 4442

6. A minimum of thirty (30) additional credit hours in MATH courses numbered 1216 or 2305 or above, chosen by the student in consultation with the Department. At least twelve (12) credit hours must be at the 3000 level or above.

A suggested program sequence for a B.Sc. with Honours in Mathematics is as follows:

**Year 1 and 2 same as that listed for Major above**

**Year 3**

Six (6) credit hours Mathematics electives at 3000 level or above

Twelve (12) credit hours Mathematics electives (1216 or 2305 and above)

Twelve (12) credit hours electives

**Year 4**

MATH 3441 Real Analysis I

MATH 4420 Abstract Algebra I

MATH 4421 Abstract Algebra II

MATH 4442 Real Analysis II

Six (6) credit hours MATH electives at 3000 level or above

Twelve (12) credit hours electives

**Requirements for a Double Honours in Mathematics and a subject other than Computing Science or Physics**

The Department requirements for a double honours in mathematics and a subject other than computing science or physics are the same as the requirements for a major in mathematics plus six (6) additional credit hours in mathematics courses numbered 3000 level or above.

## Concentration in Mathematics (B.A.-3 year)

To obtain a concentration in Mathematics in partial fulfillment of the B.A. General degree (i.e., one with Double Arts Concentrations and a minimum of ninety (90) credit hours), a minimum of twenty-four (24) credit hours in MATH is required; also a minimum PGPA of 2.00 is required. Further details are available from the chairperson.

**NOTE:** Only one of MATH 1250 or MATH 1210 may be used to satisfy the requirements for a concentration in Mathematics in partial fulfillment of the B.A. General degree.

## Concentration in Mathematics (B.Sc. – 3 year)

To obtain a B.Sc. General with a concentration in Mathematics, a student must complete the equivalent of thirty (30) credit hours in mathematics in addition to satisfying Faculty of Science regulations for the B.Sc. These courses must include:

- MATH 1210 Introductory Calculus I
- MATH 1211 Introductory Calculus II
- MATH 2310 Introductory Analysis
- MATH 2311 Intermediate Calculus
- MATH 2301 Applied Linear Algebra
- MATH 2321 Linear Algebra II
- An additional twelve (12) credit hours in MATH numbered 1200 or above.

## Requirements for a Minor in Mathematics

It is possible to minor in mathematics by completing the equivalent of thirty (30) credit hours in mathematics in addition to satisfying Faculty of Science regulations for a minor. These courses must include:

- MATH 1210 Introductory Calculus I
- MATH 1211 Introductory Calculus II
- MATH 2310 Introductory Analysis
- MATH 2311 Intermediate Calculus
- MATH 2301 Applied Linear Algebra
- MATH 2321 Linear Algebra II
- An additional twelve (12) credit hours in MATH numbered 1200 or above.

**Requirements for a Double Major or Double Honours in Mathematics and Physics**

Detailed requirements for these programs are found above in the Department of Astronomy and Physics.

## Certificate in the Mathematical Sciences for Education

**1. Introduction**The Certificate in the Mathematical Sciences for Education is intended to provide holders of a Bachelor of Education (B.Ed.) degree with a broad background in mathematics, statistics, and computing science, enabling them to teach high school mathematics courses effectively. Teachers who complete this program will have a deep understanding of the mathematics that they teach, and a familiarity with the various contexts in which their own university-bound students will use that mathematics. A teaching methods course is an integral part of this program.

**2. Admission**

To gain entry to this program, students must have a B.Ed. (or equivalent). They must also have at least Grade 12 precalculus mathematics (or equivalent) before starting MATH 1210. (Among possible equivalents are MATH 1190 and some non-credit courses offered at Saint Mary’s. Note: MATH 1190 forms part of the Certificate Program; the non-credit courses do not. Pre-calculus mathematics is not a prerequisite for MATH 1202.

Students must register in the actual program before starting courses.

**3. Courses**

Students must take at least thirty (30) credit hours as delineated below. Where the student has already obtained credit for one or more of these courses (or equivalents) as part of a program leading to an earlier certification by the Nova Scotia Department of Education, MATH or CSCI courses numbered 1200 or above and acceptable to the Department of Mathematics and Computing Science may be substituted. (Students should note that each individual’s program must be approved ahead of time by the Registrar for Teacher Certification in order to be recognized for teacher certification in Nova Scotia.)

- MATH 1190 Fundamental Mathematics
- MATH 1202 Concepts and Topics in Mathematics
- MATH 1203 Concepts in High School Mathematics
- MATH 1204 Introduction to Geometry
- MATH 1210 Intro Calculus I
- MATH 1211 Intro Calculus II
- MATH 1216 Intro Mathematical Statistics
- CSCI 1226 Introduction to Computing Science and Programming
- MATH 2301 Applied Linear Algebra
- EDUC 2523 Mathematics

**4. **To obtain the Certificate, a student in this program must achieve a minimum grade of C in all courses forming part of the certificate.

**5. **The Department of Mathematics and Computing Science restriction on receiving credit for MATH 1210 and then receiving credit for MATH 1190 does not apply to the Certificate program.

**6. **All courses must normally be taken at Saint Mary’s University. In very exceptional circumstances, the Department of Mathematics and Computing Science may recommend to the Acting Dean of Education for one or more courses to be taken at another university on a Letter of Permission. Courses taken at or transferred from other universities must meet the program’s requirement of a minimum grade of C.

**7. **A student who intends to use this program to obtain a license upgrade or other professional certification MUST obtain prior written approval from the appropriate authorities (in Nova Scotia, the Registrar for Teacher Certification). The student is responsible for obtaining such approval; Saint Mary’s University takes no responsibility for the approval of individual programs of study.