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Courses

A summary of each course to help with your selection.

Academic Year

Programs

Course ID

Course ID	Course
MATH 327	MATH 327 Numerical Analysis Course Credits: 4 This course covers numerical techniques for solving problems in applied mathematics, including error analysis, roots of equations, interpolation, numerical differentiation and integration, ordinary differential equations, matrix methods and selected topics from among: eigenvalues, approximation theory, non-linear systems, boundary-value problems, numerical solution of partial differential equations. Cross-listed: CMPT 327. Prerequisite(s): MATH 223, 250; CMPT 140. (4-0) NB: Credit is granted for only one of MATH/CMPT 317 and MATH/CMPT 327 and MATH/CMPT 330.
MATH 333	MATH 333 Mathematics of Data Science Course Credits: 3 Foundational mathematical concepts underpinning theoretical frameworks in data science that depend on linear algebra and multivariable calculus, with applications chosen from machine learning, statistical inference, and data assimilation. Possible topics include matrix decompositions, gradient and multivariate chain rule, Lagrange multipliers and constrained optimization, maximum likelihood, and Bayesian estimation. Prerequisite(s): MATH 223, 250 NB: Not offered every year. See department chair.
MATH 340	MATH 340 Discrete Structures & Computing Course Credits: 3 This is a second course in the topics of pure mathematics, particularly those most commonly used in the study of Computing Science and related applications. It includes proof techniques, models of computation, formal languages, analysis of algorithms, trees and advanced general graph theory with applications, finite state and automata theory, encryption, and an elementary introduction to mathematical structures such as groups, rings, and fields. Cross-listed: CMPT 340 Prerequisite(s): CMPT 150 or MATH 150 NB: Not offered every year. See department chair.
MATH 370	MATH 370 Geometry Course Credits: 3 Finite geometries, transformations, Euclidean geometry, constructions, inverse geometry, projective geometry, non-Euclidean geometry. Prerequisite(s): MATH 223, 250 NB: Not offered every year. See department chair.
MATH 381	MATH 381 Topological Data Analysis Course Credits: 3 The development of ideas from topology to manipulate and analyze datasets. Several topics from algebraic topology, geometry, linear algebra, abstract algebra, algorithms, and statistics will be utilized to understand recent results in data analysis. Students will use software for calculations such as persistent homology and Reeb graphs. Applications in fields such as image analysis, sensor networks, clustering, time series analysis, and genetics are discussed. Prerequisite(s): MATH 250
MATH 390	MATH 390 Number Theory Course Credits: 3 This course includes a study of the ideas of classical number theory, their historical development, and modern applications. Topics include divisibility and prime numbers, modular arithmetic, primality tests, primitive roots, quadratic reciprocity, Diophantine equations, continued fractions, and applications such as cryptography. Prerequisite(s): Third-year standing and an understanding of mathematical proof techniques, or instructor's consent
MATH 400	MATH 400 Directed Studies in Mathematics Course Credits: 3 Students are required to produce an outline of the topic to be studied in consultation with the instructor. A course of reading and/or research is pursued according to the approved outline. Assessment may be via examination and/or a final written report. Prerequisite(s): Advanced standing in mathematics or instructor’s consent NB: This course with the appropriate choice of topics can be used as a preparation for the senior thesis (MATH 410).
MATH 409	MATH 409 Thesis Preparation Course Credits: 1 In consultation with a faculty advisor students choose a mathematics topic for experiential inquiry that will develop into a senior thesis (MATH 410). Through student exploration and advisor feedback a selection of relevant readings and references are examined. A final written report is presented consisting of a detailed thesis proposal and a review of the literature. Prerequisite(s): Advanced standing in mathematics or instructor's consent
MATH 410	MATH 410 Senior Thesis Course Credits: 2 Student-led inquiry into a chosen area of mathematics with a final written report on the research. Prerequisite(s): MATH 409, a related directed study in preparation, or instructor's consent NB: Normally 2 sem. hrs. are assigned unless arrangements are made with the department chair. If 3 sem. hrs. are required, MATH 411 is taken.

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