# Freshman Students

### Freshman 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.

### 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)

For Faculty of Management students only. Faculty of Management students who want to take the Management Mathematics Minor Concentration, the Mathematics Major Concentration, the Management Statistics Minor Concentration or the Statistics Major Concentration should take MATH 140 instead and continue with MATH 141. The same is true of management students who plan to take Honours or Joint Honours in Economics. Taking MATH 122 cuts you off from taking the regular MATH 140/141/222 and the MATH 150/151 calculus streams and thereby further math courses. MATH 122 is a course covering both differential and integral calculus, but in substantially less depth than the MATH 140, MATH 141 sequence. Trigonometric functions are not discussed in this course. Faculty of management students continue with MATH 123 which covers Linear Algebra and Probability.

## MATH 122

3 credits
Calculus for Management.

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 2023
• Instructors
• Jakob Hedicke

#### Calculus (MATH 139)

Equivalent to MATH 140, but for students with no previous knowledge of Calculus. Starting in September 2010, students have a free choice of which of these two courses they take. MATH 139 has 4 credits, 4 hours of lectures/week and 1 hour of tutorials/week. MATH 140 has 3 credits, 3 hours of lectures/week and 1 hour of tutorials/week. There will be a diagnostic test very early in the Fall term to help students to ensure that they are registered in the course more appropriate for their needs.

## MATH 139

4 credits
Calculus 1 with Precalculus.

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 2023
• Instructors
• Carlo Scarpa

#### Calculus 1 (MATH 140)

For students who have taken high school calculus. This is the standard entry level calculus course.

## MATH 140

3 credits
Calculus 1.

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 2023
• Winter 2024
• Summer 2024
• Instructors
• Jérôme Fortier, Dylan J Cant, Hao Fu
• Jérôme Fortier

#### Calculus A (MATH 150)

This is the first course of the two course sequence MATH 150, MATH 151 which is equivalent to the standard MATH 140, MATH 141 and MATH 222 calculus sequence taken by Arts and Science students.  This sequence covers the material more rapidly and is more challenging than the standard sequence. It is open to students with high school calculus who have not received six advanced placement credits. Also, to take MATH 150 you need to take Vectors, Matrices and Geometry (MATH 133) as a corequisite or to have already covered this material beforehand. Challenging!

## MATH 150

4 credits
Calculus A.

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 2023
• 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)

Continuation of MATH 139 and MATH 140.

## MATH 141

4 credits
Calculus 2.

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 2023
• Winter 2024
• Summer 2024
• Instructors
• Hannah A Cairns, Marcin Sroka
• Sidney Trudeau, Jeremy Macdonald, Hovsep Mazakian

#### Calculus B (MATH 151)

Continuation of MATH 150 for Science and Arts students.

## MATH 151

4 credits
Calculus B.

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 2024
• Instructors
• Charles Roth

### Freshman Linear Algebra Courses:

Note that there are two linear algebra courses for freshman students

## MATH 133

3 credits
Linear Algebra and Geometry.

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 2023
• Winter 2024
• Summer 2024
• Instructors
• Sidney Trudeau, Elizabeth W Collins-Woodfin, Romain Branchereau
• Mathilde Gerbelli-Gauthier

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

MATH 134 is recommended for students in mathematics and physical sciences.

## MATH 134

3 credits
Enriched Linear Algebra and Geometry.

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 2023 academic year
• Instructors
• There are no professors associated with this course for the 2023 academic year