### Freshmen students: Mathematics-related programs

Students planning to major in a mathematics-related program should take MATH 139 or MATH 140, MATH 141 and MATH 133 if they do not have equivalents for them. Stronger students who are hoping to graduate with in an honours mathematics program should consider taking MATH 150 and MATH 151 in place of MATH 140 and MATH 141.

**** For Fall 2020 ONLY ****

The MATH 139 course is there to enable students, whose pre-calculus (high-school mathematics) background has gaps, to catch up. It takes you at the end to the same place as MATH 140. It does this by having an extra hour a week of class, so the first part of the term is devoted to pre-calculus, and then students move into calculus after a month or so.

Because of the fact that the last two or three months of high school were missed because of the pandemic, we have expanded capacity in MATH 139 to ensure that students who feel that there are gaps in their knowledge can catch up and not feel disadvantaged. Students are strongly urged to seriously consider MATH 139 as an option.

### Science Placement Exams

For students wishing to take a placement exam to exempt them from either MATH 122, 123, 133, 140 and/or 141 please see details at https://www.mcgill.ca/exams/dates/science

### Courses:

Click on the links to expand.

### Freshman Calculus Courses -- first semester: Calculus 1

All of these courses require that you to have taken a "functions course" previously.#### Calculus for Management 1 (MATH 122)

## MATH 122

Mathematics & Statistics (Sci): Review of functions, exponents and radicals, exponential and logorithm. Examples of functions in business applications. Limits, continuity and derivatives. Differentiation of elementary functions. Antiderivatives. The definite integral. Techniques of Integration. Applications of differentiation and integration including differential equations. Trigonometric functions are not discussed in this course.

Offered by: Mathematics and Statistics

- 3 hours lecture, 1 hour tutorial
- Prerequisite: A course in functions.
- Restrictions: Not open to students who have taken or are taking MATH 139, MATH 140, MATH 150. MATH 139, MATH 140, MATH 141, MATH 150 and MATH 151 are not open to students who have taken or are taking MATH 122, except by special permission of the Department of Mathematics and Statistics. Open to Desautels Faculty of Management students only. Offered by the Faculty of Science. Students intending to pursue one of the major or minor concentrations in Mathematics and Statistics in the Desautels Faculty of Management should take MATH 140 [or MATH 139] and MATH 141 instead.

- Terms
- Fall 2021

- Instructors
- Anush Tserunyan

#### Calculus (MATH 139)

## MATH 139

Mathematics & Statistics (Sci): Review of trigonometry and other Precalculus topics. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.

Offered by: Mathematics and Statistics

- Fall
- 4 hours lecture, 1 hour tutorial
- Prerequisite: a course in functions
- Restriction: Not open to students who have taken CEGEP objective 00UN or equivalent.
- Restriction Note B: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics.
- Students continue in MATH 141
- Each Tutorial section is enrolment limited

- Terms
- Fall 2021

- Instructors
- There are no professors associated with this course for the
*2021*academic year

- There are no professors associated with this course for the

#### Calculus 1 (MATH 140)

## MATH 140

Mathematics & Statistics (Sci): Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.

Offered by: Mathematics and Statistics

- 3 hours lecture, 1 hour tutorial
- Prerequisite: High School Calculus
- Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
- Restriction: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics
- Each Tutorial section is enrolment limited

- Terms
- Fall 2021
- Winter 2022

- Instructors
- Sidney Trudeau
- Djivede A Kelome

#### Calculus A (MATH 150)

## MATH 150

Mathematics & Statistics (Sci): Functions, limits and continuity, differentiation, L'Hospital's rule, applications, Taylor polynomials, parametric curves, functions of several variables.

Offered by: Mathematics and Statistics

- Fall
- 3 hours lecture, 2 hours tutorial
- Students with no prior exposure to vector geometry are advised to take MATH 133 concurrently. Intended for students with high school calculus who have not received six advanced placement credits
- Restriction: Not open to students who have taken CEGEP objective 00UN or equivalent
- Restriction Note B: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics
- MATH 150 and MATH 151 cover the material of MATH 139, MATH 140, MATH 141, MATH 222

- Terms
- Fall 2021

- Instructors
- Charles Roth

Please note that Mathematics for Management 1 (MATH 130) and Mathematics for Management 2 (MATH 131) previously available to Faculty of Management students have now been retired.

### Freshman Calculus Courses -- second semester: Calculus 2

#### Calculus 2 (MATH 141)

## MATH 141

Mathematics & Statistics (Sci): The definite integral. Techniques of integration. Applications. Introduction to sequences and series.

Offered by: Mathematics and Statistics

- Prerequisites: MATH 139 or MATH 140 or MATH 150.
- Restriction: Not open to students who have taken MATH 121 or CEGEP objective 00UP or equivalent
- Restriction Note B: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics.
- Each Tutorial section is enrolment limited

- Terms
- Fall 2021
- Winter 2022

- Instructors
- Jeremy D Macdonald
- Jérôme Fortier

#### Calculus B (MATH 151)

## MATH 151

Mathematics & Statistics (Sci): Integration, methods and applications, infinite sequences and series, power series, arc length and curvature, multiple integration.

Offered by: Mathematics and Statistics

- Winter
- 3 hours lecture; 2 hours tutorial
- Each Tutorial section is enrolment limited
- Prerequisite: MATH 150
- Restriction: Not open to students who have taken CEGEP objective 00UP or equivalent
- Restriction: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics
- Restriction: Not open to students who have taken MATH 152

- Terms
- Winter 2022

- Instructors
- Charles Roth

### Freshman Linear Algebra Courses:

#### Vectors, Matrices and Geometry (MATH 133)

## MATH 133

Mathematics & Statistics (Sci): Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.

Offered by: Mathematics and Statistics

- 3 hours lecture, 1 hour tutorial
- Prerequisite: a course in functions
- Restriction A: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
- Restriction B: Not open to students who have taken or are taking MATH 123, except by permission of the Department of Mathematics and Statistics.
- Restriction C: Not open to students who are taking or have taken MATH 134.

- Terms
- Fall 2021
- Winter 2022

- Instructors
- Rosalie Bélanger-Rioux

#### Enriched Linear Algebra and Geometry (MATH 134)

## MATH 134

Mathematics & Statistics (Sci): Complex numbers. Systems of linear equations, matrix algebra, determinants. Subspaces of euclidean space, linear dependence and independence, bases. Bilinear and quadratic forms. The Gram-Schmidt process. Eigenvalues and eigenvectors, diagonalization. Orthogonal diagonalization of symmetric matrices. This course is intended for students in mathematics and physical sciences.

Offered by: Mathematics and Statistics

- Restriction: Not open to students who are taking or have taken MATH 133

- Terms
- This course is not scheduled for the
*2021*academic year

- This course is not scheduled for the
- Instructors
- There are no professors associated with this course for the
*2021*academic year

- There are no professors associated with this course for the

Please note that freshman advising is done at the Faculty level: please see the SOUSA website