Academic calendar Academic calendar - Study in the UK

General Major: Mathematics and Physics (12 courses)
• MAT-121; 122; 126; 223; 231; 311; 336;
• PHY-121; 122; 221; 321; 451
Cognate Requirements:
• CSC-121; HIS-313; PHL-314
Minor: Mathematics (6 courses)
• MAT-121; 122; 126;
• One of MAT-223 or 231;
• One of MAT-321, 331, 336;
• One elective at the MAT-200-level or higher, excluding MAT-201
MAT-101 Fundamentals of Mathematics
(offered infrequently)*
This course focuses on quantitative reasoning, mathematical literacy,
and the role of mathematics in the Western intellectual tradition and in
today’s society. Includes a weekly one-hour tutorial.
Exclusion: 60% or higher in Grade 12 U or M mathematics
MAT-103 History of Mathematics
(W)
As a gentle introduction to the history of mathematics, this course will
take a cursory view of the way mathematics develops in interaction
with culture. It will explore some biographies of various numbers,
some select corners of geometry, some of the development of
mathematical ways of thinking, and some very recent mathematical
developments. This course is meant to be a liberal arts mathematics course.
Exclusion: Completion of Grade 12 U or M mathematics
MAT-114 Differential and Integral Calculus
(F)*
An introduction to the basic concepts and methods of calculus
for students who have no previous experience in the subject. The
topics covered include functions, limits, derivative, exponential and
logarithmic functions, integration, and applications.
Prerequisite: Grade 11 U mathematics or permission of the instructor
Exclusion: Completion of Grade 12 U Calculus or more advanced calculus
MAT-121 Calculus I
(F)
An introduction to calculus, including the basic concepts of
differentiation and integration. Applications, series expansions, and
polar coordinates are discussed in relation to calculus. Includes a
weekly one-hour tutorial.
Prerequisite: Grade 12 U Calculus or MAT-114
MAT-122 Calculus II
A continuation of MAT-121. Includes a weekly one-hour tutorial.
Prerequisite: MAT-121
MAT-126 Introductory Linear Algebra
(F)
A study of systems of linear equations, determinants, vector algebra,
n-dimensional vector spaces, linear transformations, and the eigenvalue
problem. Includes a weekly one-hour tutorial.
Prerequisite: Grade 12 U Advanced Functions or MAT-114
(W)
MAT-201 Research Methods: Statistics (PSY-201/SOC-201/PED-221)
MAT-215 Statistics
(F)
(W)*
A study of the collection, analysis and interpretation of numerical data.
Topics covered are probability spaces, conditional probability, random
variables both continuous and discrete, Binomial, Normal, Poisson,
Student’s t and Chi-square distributions, expectations, sampling
distributions, estimation, tests of significance, regression analysis and
design of experiments. Includes a weekly lab to emphasize the use of
computer software for statistics. Includes a weekly one-hour tutorial.
Prerequisite: MAT-122
MAT-217 Discrete Mathematics (CSC-217) *
Core topics include elementary set theory, combinations and
permutations, an introduction to logic, mathematical induction,
recursion, and properties of integers. Additional topics may include an
introduction to graphs and trees, introduction to automata theory, and
advanced counting techniques.
Prerequisite: Grade 12 U Advanced Functions
MAT-223 Multivariable Calculus
Multivariable calculus: the derivative, multiple integration, vector
calculus and applications. Includes a weekly one-hour tutorial.
Prerequisite: MAT-122
MAT-231 Differential Equations
(W)*
An introduction to solutions and applications of ordinary differential
equations. Laplace transforms, series solutions, and partial differential
equation are also discussed.
Prerequisite: MAT-122 and 126
MAT-311 Numerical Analysis (CSC-311/PHY-311) *
MAT-317 Graph Theory
(F)*
An introduction to the ideas, methods and applications of graph theory.
Topics include: finding shortest paths and maximum matchings in
weighted graphs and determining the connectivity of a graph.
Prerequisite: MAT-217
MAT-321 Modern Geometry (Capstone) *
A study of basic concepts of euclidean and non-euclidean geometry.
Prerequisite: Any MAT-200-level course except MAT-201. MAT-321 is the Capstone Course
for the Mathematics Department and is required for all majors in the 3rd or 4th year.
MAT-331 Abstract Algebra
An introduction to structures of modern algebra: groups, integral
domains, fields, rings, and polynomials.
Prerequisite: Any MAT-200-level course except MAT-201
(F)
(W)*
MAT-336 Linear Algebra *
Topics include vector spaces, linear transformations, matrices,
determinants, inner products, eigenvalues and eigenvectors, spectral
decompositions, canonical forms and dual spaces.
Prerequisite: MAT-126 and 223
MAT-341 Real Analysis I *
A study of the real number system and functions of a real variable.
Topics included in the course are topology of Rn, continuous functions
on Rn, and differential calculus in Rn.
100
Prerequisite: MAT-223