Mathematics Program | Glendon Campus

Degree Level

Undergraduate

Duration

—

Degrees Offered

BA, Major, Minor

Department

—

Language

Bilingual

Mathematics and its Applications

See the world from an original perspective. A useful tool that's essential to many fields and careers, mathematics has almost unlimited practical applications. You'll study the various branches of pure and applied math in courses that explore linear and modern algebra, mathematical analysis, topology and geometry, probability and statistics, and financial mathematics. In small classes taught by friendly, high-profile professors who are actively working in the field, you'll benefit from a personalized learning experience — and you'll have a bilingual edge in today's competitive global marketplace.

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Degree Overview

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Skills you'll learn

Understand fundamental mathematical concepts, theory and applications
Apply mathematical models to interpret and predict the outcome of real-world phenomena, such as the propagation of waves, viruses and rumours
Formulate and test statistical hypotheses
Carry out complex mathematical operations and understand how complex techniques affect everyday life and technology

Career opportunities

As a Mathematics graduate, you are well-equipped to become a leader and changemaker. You can choose to pursue grad studies or obtain additional qualifications. Here are a few examples of possible career paths:

Business Analyst
Researcher
Investment Banker
Teacher
Financial Advisor/ Financial Planner

Visit the Career Centre for more career options in Mathematics.

Hands-on experiences

Apply the concepts and theories you're studying to real world challenges. Engage in guided practical experiences in the classroom, workplace, community and abroad. These are some opportunities for Mathematics students.

Use investment case studies and real-world predicting (for example, in bungee jumping or predator-prey dynamics), and explore math through fields such as biology, economics and finance.
Join Club Infinity, York University's official math club, to participate in activities and events.
Consider an exchange abroad or with one of our partner universities in Quebec.
Enrol in Le français par l'expérience to expand your knowledge of French and francophone culture by doing a work placement.

Courses & Curriculum

You'll study a core curriculum of courses (21 credits) at the first- and second-year level that will provide you with the basics of mathematics. Then you'll be prepared to take on the upper-level courses of your choice. As a Glendon Mathematics student, you're welcome to also take courses at the Keele Campus Department of Mathematics and Statistics.

To diversify your background, it is highly recommended that you choose a double major, for example combining Mathematics with French Studies (useful in a bachelor of education degree), Economics or Business Economics.

View course timetables on York University's site

GL/MATH 1610 3.0 Introduction to Statistical Methods I

General Education: MODR

Cross-listings: MODR, POLS, SOCI

Language of Instruction: English

Calendar Description

This course covers the elements of probability theory and standard probability distributions, the measures and techniques used in descriptive statistics, principles of sampling and tests of significance. Prerequisite: OAC or Grade 12 mathematics. Course credit Exclusions: SC/MATH 1131 3.0, SC/MATH 2560 3.0, AP/ECON 2500 3.0.

GL/MATH 1620 3.0 Introduction to Statistical Methods II

General Education: MODR

Cross-listings: MODR, POLS, SOCI

Language of Instruction: English

Calendar Description

This course covers the correlations and regression analysis, analysis of variance and parametric tests, and problem work emphasizing applications of statistics in the social sciences. Prerequisite: GL/MATH 1610 3.0 or permission of the Department. Course credit exclusion: SC/MATH 2570 3.0 and AP/ECON 3480 3.0.

GL/MATH 1650 3.0 Modes of Mathematical Reasoning

General Education: MODR

Cross-listing: MODR

Language of Instruction: English

Calendar Description

This course develops basic mathematical literacy in logic (true/false statements; correct/incorrect conclusions: quantifiers), in the language of sets (finite/infinite sets; set operations; Cartesian products), on functions (composition; invertibility; direct/inverse images), on mathematical induction and combinatorics. Prerequisites: At least one OAC mathematics credit or its equivalent, or permission of the department. Course credit exclusions: SC/MATH 1190 3.0.

GL/MATH 1660 3.0 Linear Algebra I

General Education: MODR

Cross-listing: MODR

Language of Instruction: English

Calendar Description

This is a basic mathematics course as well as a very useful course for someone who wishes to do applied research in the social sciences. Among the topics considered are vectors, bases, matrices, systems of linear equations, rank and determinants. Some applications of linear algebra to various other disciplines, such as economics, are also included. Course credit exclusions: SC/MATH 1021 3.0, SC/MATH 2221 3.0, GL/MATH 2650 3.0, GL/MODR 2650 3.0.

GL/MATH 1670 6.0 Fundamentals of Mathematics

General Education: MODR

Cross-listings: MODR, ITEC

Language of Instruction: English

Calendar Description

This course is intended for students whose pre-university mathematical background is incomplete. The following topics are covered: basic algebra; linear, quadratic, polynomial, exponential, logarithmic and trigonometric functions; systems of equations; and inequalities. Note: This is a remedial course and as such cannot be counted towards major/minor credits. Course credit exclusions: SC/MATH 1710 6.00, SC/MATH 1510 6.0.

GL/MATH 1930 3.0 Differential Calculus

General Education: MODR

Cross-listing: MODR

Language of Instruction: English

Calendar Description

This is a basic course in university calculus. Topics covered are functions, limits, continuity, differentiation, curve sketching, maximization and minimization problems for functions of one variable, the Riemann integral and antiderivatives. Prerequisite: 12U Advanced Functions (MHF4U) or equivalent, or GL/MATH 1670 6.00 or equivalent, or permission of the department.
Course credit exclusions: SC/MATH 1013 3.0, SC/MATH 1300 3.0, SC/MATH 1505 6.0, SC/MATH 1506 3.0, SC/MATH 1530 3.0, SC/MATH 1550 6.0, AP/ECON 1530 3.0, SC/ISCI 1401 3.0, SC/ISCI 1410 6.0.

GL/MATH 1940 3.0 Integral Calculus

General Education Credit: MODR

Cross-listing: MODR

Language of Instruction: English

Calendar Description

A continuation of GL/MATH 1930 3.0. Topics covered are logarithms and exponentials, trigonometry including inverse trigonometric functions, hyperbolic trigonometry, techniques of integration, indeterminate forms and l'Hôpital Rule, and an introduction to partial derivatives. Applications of the integral to the calculation of areas, volumes, work.

Prerequisite: GL/MATH/MODR 1930 3.0.
Course credit exclusions: SC/MATH 1014 3.0, SC/MATH 1310 3.0, SC/MATH 1505 6.0, SC/MATH 1507 3.0, SC/MATH 1540 3.0, SC/MATH 1550 6.0, SC/ISCI 1402 3.0, SC/ISCI 1410 6.0.

GL/MATH 1950 3.0 Mathematics of Investment I

General Education: MODR

Cross-listings: MODR, ECON

Language of Instruction: English

Calendar Description

This course introduces the concept of time value of money and the notions of interest rates, inflation rate, annuities and perpetuities, bonds, and the repayment of debt via amortized loans and sinking fund loans.

Prerequisite: GL/MATH/MODR 1930 3.0.
Course credit exclusions: GL/MATH/MODR 2680 6.0, SC/MATH 1581 3.0, SC/MATH 2280 3.0, SC/MATH 2580 6.0.

GL/MATH 2660 3.0 Linear Algebra II

General Education: MODR

Cross-listing: MODR

Language of Instruction: English

Calendar Description

This is a continuation of GL/MATH 1660 3.0. More about vector spaces, subspaces, linear transformations. Eigenvalues, eigenvectors, similarity, diagonalization. Positive definite quadratic forms. Inner product spaces and Gram-Schmidt orthogonalization. Prerequisite: GL/MATH 1660 3.00. Course credit exclusions: SC/MATH 2222 3.0, SC/MATH 2022 3.0.

GL/MATH 2670 6.0 Calcul des fonctions de plusieurs variables

Langue d'enseignement : français

Description de l'annuaire

Les sujets traités incluent le calcul vectoriel dans R^n, les dérivées partielles des fonctions de plusieurs variables, les suites et les séries numériques, les séries de Taylor, l'optimisation des fonctions de plusieurs variables, les intégrales doubles et triples et le théorème de Green. Condition préalable : GL/MATH 1940 3.0. Cours incompatibles: GL/MODR 2670 6.0, SC/MATH 2310 3.0.

GL/MATH 3210 3.0 Discrete Dynamical Systems and Fractals

Language of Instruction: English

Calendar Description

Fractals are everywhere in the world (snowflakes, ferns,) but also often are attractors of dynamical systems. This course is an introduction to the fascinating realm of real dynamical systems, iterated function systems, and their dynamically-generated fractals. Prerequisites: GL/MATH/MODR 1660 3.0; GL/MATH/MODR 1940 3.0. Corequisite: GL/MATH/MODR 2670 6.0.

GL/MATH 3225 3.0 Symbolic Dynamics and Coding

Language of Instruction: English

Calendar Description

With the advent of computers, compact disks and other data storage units, symbolic dynamics has played a central role in coding and information transmission. This course studies the theory and applications of symbolic dynamics, and its use in general systems.
Prerequisites: GL/MATH/MODR 1660 3.0; GL/MATH/MODR 1940 3.0.

GL/MATH 3400 3.0 Differential Equations

Language of Instruction: English

Calendar Description

An introduction to differential equations, including a discussion of the formulation of mathematical models for real phenomena; solution techniques; linear equations, applications; solutions in series; other topics if time permits. Prerequisite: GL/MATH 2670 6.0 or permission of the department. Previously offered as: GL/MATH 3400 6.0.

GL/MATH 3510 3.0 Modern Algebra I

Language of Instruction: English

Calendar Description

An introduction to group theory and abstract algebraic structures, with applications to number theory and to symmetry groups of geometrical objects in the plane and in space.

Prerequisite: GL/MATH 2660 3.0. Course credit exclusions: GL/MATH 3650 6.0, SC/MATH 3020 6.0, SC/MATH 3021 3.0.

GL/MATH 3515 3.0 Modern Algebra II

Language of Instruction: English

Calendar Description

This course is a continuation of GL/MATH 3510 3.0, and it also is an introduction to ring theory and to field theory. Included here are the topics of polynomial rings, field extensions, and factorization theory for polynomials. Prerequisite: GL/MATH 3510 3.0. Course credit exclusions: GL/MATH 3650 6.0, SC/MATH 3020 6.0, SC/MATH 3022 3.0.

GL/MATH 3645 3.0 Optimization with Applications to Economics

Cross-listing: ECON

Language of Instruction: English

Calendar Description

This is an introductory course in optimization. Topics include local and global extremum, convex functions, Lagrange multipliers, the Kuhn-Tucker conditions, and optimal control. Applications to a variety of problems in economics. Prerequisites: GL/MATH 1940 3.0, GL/MATH 2650 3.0.

GL/MATH 4000 3.0 Directed Readings in Mathematics

Language of Instruction: English

Calendar Description

A student may pursue independent studies with the guidance of a faculty member. Details of the final proposal must be approved by the supervising faculty and the Chair of the Department of Mathematics at Glendon. Prerequisite: Permission of the Department.

GL/MATH 4210 3.0 Machine Learning: An Introduction

Language of Instruction: English

Calendar Description

This is an introductory course in machine learning. It introduces students to the main tools needed for designing classical algorithms that enable machines to learn. Prerequisites: GL/MATH/MODR 1940 3.0 and GL/MATH/MODR 1660 3.0.

GL/MATH 4230 6.0 Analyse complexe

Langue d'enseignement : français

Description de l'annuaire

La topologie du plan complexe. Introduction aux fonctions holomorphes; applications conformes et applications linéaires fractionnelles. L'intégration complexe, la formule intégrale de Cauchy. La théorie des résidus. Les propriétés locales des fonctions holomorphes; les fonctions harmoniques. Prolongement analytique; le théorème de Riemann. Conditions préalables : GL/MATH 1930 3.0 et GL/MATH 1940 3.0; GL/MATH 2670 6.0 ou la permission du département. Cours incompatible : SC/MATH 3410 3.0

GL/MATH 4240 6.0 Analyse réelle

Langue d'enseignement : français

Description de l'annuaire

Ce cours propose une étude rigoureuse de l'analyse réelle. Parmi les sujets traités figureront les notions de base de topologie; limite et continuité, fonctions à variation bornée, l'intégrale de Riemann-Stieltjes, les suites et séries de fonctions, l'intégrale de Lebesgue; et éventuellement des séries de Fourier. Condition préalable : GL/MATH 2670 6.0 ou la permission du département. Cours incompatibles : SC/MATH 4010 6.0, SC/MATH 3001 3.00, SC/MATH 4001 6.0, SC/MATH 4011 3.0 et SC/MATH 4012 3.0.

GL/MATH 4260 3.0 Mathematics Through the Ages and Civilizations

Language of Instruction: English

This course examines the origins and the development of mathematical ideas through the history of humankind. Students will revisit concepts and results they have encountered in earlier courses, such as numbers, algebra, geometry, and pre/calculus, with emphasis on their inception.
Prerequisites: GL/MATH 1660 3.0 and GL/MATH 1930 3.0, or equivalent.
Course credit exclusions: SC/MATH 4400 6.0.

Admission Requirements

Ontario Secondary School Diploma or equivalent with an average* in the mid to high 70s
Minimum of six 4U or 4M courses, including 4U English (ENG4U) or FRA4U
A combination of U and M courses; OACs are accepted
MHF4U required; MCV4U recommended
Proficiency in English OR French

* Average is calculated based on the top six 4U; 4M or DU courses

Check out the full requirements