Liberal Program - Core Science Component Mathematics at McGill University

About

Offered by: Mathematics and Statistics Degree: Bachelor of Science

Program Requirements

Program Prerequisites

Students entering the Core Science Component in Mathematics are normally expected to have completed the courses below or their equivalents. Otherwise, they will be required to make up any deficiencies in these courses over and above the 45 credits required for the program.

MATH 133 Linear Algebra and Geometry (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

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.

Terms: Fall 2022, Winter 2023, Summer 2023

Instructors: Bélanger-Rioux, Rosalie; Mazakian, Hovsep; Gerbelli-Gauthier, Mathilde; Alfieri, Antonio (Fall) Duchesne, Gabriel William (Winter)

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.
MATH 140 Calculus 1 (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

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

Terms: Fall 2022, Winter 2023, Summer 2023

Instructors: Trudeau, Sidney; Huang, Peiyuan; Mellick, Sam (Fall) Collins-Woodfin, Elizabeth (Winter)

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
MATH 141 Calculus 2 (4 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

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

Terms: Fall 2022, Winter 2023, Summer 2023

Instructors: Macdonald, Jeremy; Xu, Peter (Fall) Trudeau, Sidney; Barill, Gavin; Mazakian, Hovsep (Winter)

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

Guidelines for Selection of Courses

The following informal guidelines should be discussed with the student's adviser. Where appropriate, Honours courses may be substituted for equivalent Major courses. Students planning to pursue graduate studies are encouraged to make such substitutions.

Students interested in computer science are advised to choose courses from the following: MATH 317, MATH 318, MATH 327, MATH 328, MATH 335, MATH 340, MATH 417 and to complete the Computer Science Minor.

Students interested in probability and statistics are advised to take MATH 204, MATH 324, MATH 423, MATH 447, MATH 523, MATH 525.

Students interested in applied mathematics should take MATH 317, MATH 319, MATH 324, MATH 326, MATH 327, MATH 417.

Students considering a career in secondary school teaching are advised to take MATH 318, MATH 328, MATH 338, MATH 339, MATH 346, MATH 348.

Students interested in careers in business, industry or government are advised to select courses from the following list:
MATH 317, MATH 319, MATH 327, MATH 329, MATH 417, MATH 423, MATH 430, MATH 447, MATH 523, MATH 525.

Required Courses (27 credits)

* Students may select either MATH 249 or MATH 316 but not both.
** Students who have successfully completed a course equivalent to MATH 222 with a grade of C or better may omit MATH 222, but must replace it with 3 credits of complementary courses.

MATH 222 Calculus 3 (3 credits) **
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.

Terms: Fall 2022, Winter 2023, Summer 2023

Instructors: Paquette, Elliot; Wrobel, Konrad (Fall) Trudeau, Sidney (Winter)

Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133

Restriction: Not open to students who have taken MATH 150, MATH 151 or MATH 262.
MATH 235 Algebra 1 (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; group actions on sets.

Terms: Fall 2022

Instructors: Wise, Daniel (Fall)

Fall

3 hours lecture; 1 hour tutorial

Prerequisite: MATH 133 or equivalent
MATH 236 Algebra 2 (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms.

Terms: Winter 2023

Instructors: Sroka, Marcin (Winter)

Winter

Prerequisite: MATH 235
MATH 242 Analysis 1 (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.

Terms: Fall 2022

Instructors: Hundemer, Axel W (Fall)

Fall

Prerequisite: MATH 141

Restriction(s): Not open to students who are taking or who have taken MATH 254.
MATH 243 Analysis 2 (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.

Terms: Winter 2023

Instructors: Hundemer, Axel W (Winter)

Winter

Prerequisite: MATH 242 or MATH 254.
MATH 249 Honours Complex Variables (3 credits) *
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Functions of a complex variable; Cauchy-Riemann equations; Cauchy's theorem and consequences. Taylor and Laurent expansions. Residue calculus; evaluation of real integrals; integral representation of special functions; the complex inversion integral. Conformal mapping; Schwarz-Christoffel transformation; Poisson's integral formulas; applications.

Terms: Winter 2023

Instructors: Guan, Pengfei (Winter)

Winter

Prerequisite(s): MATH 248 or MATH 358 or equivalent.

Restriction: Intended for Honours Physics and Engineering students

Restriction: Not open to students who have taken or are taking MATH 316
MATH 314 Advanced Calculus (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.

Terms: Fall 2022, Winter 2023

Instructors: Roth, Charles (Fall) Fortier, JérÃ´me (Winter)

Prerequisites: MATH 133, MATH 222

Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.
MATH 315 Ordinary Differential Equations (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

Terms: Fall 2022, Winter 2023, Summer 2023

Instructors: Berk, Aaron (Fall) Bélanger-Rioux, Rosalie (Winter)

Prerequisite: MATH 222.

Corequisite: MATH 133.

Restriction: Not open to students who have taken or are taking MATH 325.
MATH 316 Complex Variables (3 credits) *
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.

Terms: Fall 2022

Instructors: Pym, Brent (Fall)

Fall

Prerequisites: MATH 314 or equivalent and MATH 243.

Restriction: Not open to students who have taken or are taking MATH 249, MATH 366, MATH 381 or MATH 466.
MATH 323 Probability (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.

Terms: Fall 2022, Winter 2023, Summer 2023

Instructors: Nadarajah, Tharshanna; Sajjad, Alia (Fall) Asgharian, Masoud; Sajjad, Alia (Winter)

Prerequisites: MATH 141 or equivalent.

Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus

Restriction: Not open to students who have taken or are taking MATH 356

Complementary Courses (18 credits)

18 credits selected from the following list, with at least 6 credits selected from:

MATH 317 Numerical Analysis (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.

Terms: Fall 2022

Instructors: Lessard, Jean-Philippe (Fall)

Fall

Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.

Restrictions: Not open to students who have taken COMP 350
MATH 324 Statistics (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.

Terms: Fall 2022, Winter 2023

Instructors: Nadarajah, Tharshanna (Fall) Nadarajah, Tharshanna (Winter)

Fall and Winter

Prerequisite: MATH 323 or equivalent

Restriction: Not open to students who have taken or are taking MATH 357

You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
MATH 335 Computational Algebra (3 credits)
Offered by: Mathematics and Statistics (Faculty of Science)
Overview

Mathematics & Statistics (Sci) : Computational aspects of modern algebra. Computing in groups: algorithms, algorithmic problems in groups, finitely generated abelian groups, free groups and automata, finitely presented groups. Computing in rings: elementary notions of ring theory, ideals of polynomial rings in several variables, Groebner bases, elements of field theory.

Terms: This course is not scheduled for the 2022-2023 academic year.

Instructors: There are no professors associated with this course for the 2022-2023 academic year.

Prerequisites: MATH 235 and MATH 236.

Note: This course is intended primarily for students in the Major Program in Mathematics and the Joint Major Program in Mathematics and Computer Science.
MATH 340 Discrete Mathematics (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

Overview

Mathematics & Statistics (Sci) : Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouri

Disciplines

Faculty of Science

Requirements

Entry Requirements

Canadian citizenship or Canadian permanent residency
23 years of age or older by the start of classes (21 years of age for the Faculties of Management and Music)
No high school, college or university level studies within the last five years that would constitute a basis for admission
Two letters of reference
Mature Student Statements:
- Letter of Intent, including description of all educational experiences
- Complete resume of employment and other activities, highlighting points relevant to the application
In some cases, an interview may be required
Demonstrate academic potential by successfully completing a minimum number of specific courses (see 'Minimum grades & prerequisites' below) within the three-year period prior to admission and no later than May 15th of the year of application for the intended program (May 1 for some programs). These courses, which may be completed at CEGEP or university, will also fulfill prerequisites for the intended program.

Fee Information

Tuition Fee

CAD 26,727

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Liberal Program - Core Science Component Mathematics

McGill University

McGill University

Key Facts

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