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Program Details

You’ll discover math has almost unlimited applications in the real world. It’s an important practical tool in humanities and social sciences, such as economics, political science, psychology and sociology. Pure math will give you a foundation in modern analysis, algebra and topology, while applied math involves operations research, statistics and the mathematics of investment. In our program, you can also explore the computational aspects of modern math through mathematical software. 

In our bilingual liberal arts environment, you’ll find a unique, valuable and flexible approach to complement your studies. You’ll have the opportunity to learn French and other languages, acquire knowledge in economics and business, or add an international component to your degree. Throughout your studies, you will be able to count on individual attention and support from your professors. 

Explore what each year of your degree could look like, as well as how you can boost your major and career options.

Wondering what each year of your degree will look like? Check it out here.

Courses


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

MATH Courses 2022-2023

Course Catalogue

GL/MATH 1610 3.00 Introduction to Statistical Methods I 

General Education Credit: MODR

Cross-listing:  GL/MODR 1610 3.00, GL/POLS 2610 3.00, GL/SOCI 2610 3.00

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. 

GL/MATH 1620 3.00 Introduction to Statistical Methods II

General Education Credit: MODR

Cross-listing: GL/MODR 1620 3.00, GL/POLS 2620 3.00, GL/SOCI 2620 3.00

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.

GL/MATH 1650 3.00 Modes of Mathematical Reasoning   

General Education Credit: MODR

Cross-listing: GL/MODR 1650 3.00

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. 

GL/MATH 1660 3.00 Linear Algebra I      

General Education Credit: MODR

Cross-listing: GL/MODR 1660 3.00

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.   

GL/MATH 1670 6.00 Fundamentals of Mathematics

General Education Credit: MODR

Cross-listing: GL/MODR 1670 6.00, GL/ITEC 1670 6.00

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.

GL/MATH 1930 3.00 Calculus I

General Education Credit: MODR

Cross-listing: GL/MODR 1930 3.00

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. 

GL/MATH 1940 3.00 Calculus II    

General Education Credit: MODR

Cross-listing: GL/MODR 1940 3.00

Language of Instruction: English

Calendar Description

A continuation of GL/MATH 1930 3.00. Topics covered are logarithms and exponentials, trigonometry including inverse trigonometric functions, hyperbolic trigonometry, techniques of integration, indeterminate forms and l'Hôpital Rule, an introduction to sequences and series. Applications of the integral to the calculation of areas, volumes, work. 

GL/MATH 1950 3.00 Mathematics of Investment I 

General Education Credit: MODR

Cross-listing: GL/MODR 1950 3.00, GL/ECON 1950 3.00

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. 

GL/MATH 2660 3.00 Linear Algebra II

General Education Credit: MODR

Cross-listing: GL/MODR 2660 3.00

Language of Instruction: English

Calendar Description

This is a continuation of GL/MATH 1660 3.00. More about vector spaces, subspaces, linear transformations. Eigenvalues, eigenvectors, similarity, diagonalization. Positive definite quadratic forms. Inner product spaces and Gram-Schmidt orthogonalization. 

GL/MATH 2670 6.00 Second Year Calculus

Language of Instruction: English

Calendar Description

Numerical series and power series, vector algebra and calculus (with applications to curves, and motions along curves in two and three dimensions). Functions of several variables, including partial differentiation, properties of surfaces, tangent lines and planes, and the problem of finding maximum and minimum values for such functions (with or without constraining side conditions). The rest of the course is devoted to double and triple integrals, line integrals and surface integrals, and some elementary differential equations.

GL/MATH 3300 3.00 Introductory Topology I

Language of Instruction: English

Calendar Description

This course is an introduction to modern topology, including the topology of R^n and compact spaces.

GL/MATH 3400 3.00 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.  

GL/MATH 3510 3.00 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. 

GL/MATH 3515 3.00 Modern Algebra II  

Language of Instruction: English

Calendar Description

This course is a continuation of GL/MATH 3510 3.00, and 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.     

GL/MATH 3645 3.00 Optimization with Applications to Economics 

Cross-listing: GL/ECON 3645 3.00

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.    

GL/MATH 4000 3.00 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

GL/MATH 4230 6.00 Complex Analysis

Language of Instruction: English

Calendar Description

Introduction to holomorphic mappings; conformal and linear fractional transformations. Complex integration, Cauchy's integral formula; the calculus of residues. Local properties of holomorphic functions; harmonic functions.

GL/MATH 4240 6.00 Real Analysis

Language of Instruction: English

Calendar Description

This course provides a rigorous treatment of real analysis. Specific topics include basic topology; limits and continuity; functions of bounded variation; Riemann-Stieltjes integration; sequences and series of functions; Lebesgue integration; and possibly some Fourier series.

Degree Types & Program Requirements

Mathematics offers the following degree types:

  • Specialized Honours BA/iBA 
  • Honours BA/iBA 
  • Honours Double Major BA/iBA 
  • Honours Major/Minor BA/iBA 
  • Honours Minor BA 
  • Bachelor of Arts (BA)

Mathematics is available as a bilingual or trilingual International Bachelor of Arts.

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