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Courses

A summary of each course to help with your selection.

Academic Year

Programs

Course ID

Course ID	Course
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.
MATH 411	MATH 411 Senior Thesis Course Credits: 3 Research in a chosen area of mathematics with a final written report. Prerequisite(s): MATH 409, a related directed study in preparation, or instructor’s consent
MATH 420	MATH 420 Topics in Mathematics Course Credits: 3 A study of advanced topics in mathematics that are not considered in depth in other courses. NB: Not offered every year. See department chair. Entry restricted to third- and fourth-year students who meet the prerequisites for the topic to be offered.
MATH 450	MATH 450 Modern Algebra Course Credits: 3 Abstract algebra including group, field, and ring theory; algebraic systems, polynomial theory and additional topics in modern and abstract algebra as time permits. Prerequisite(s): MATH 150 and 250, third-year standing or better (a 300-level mathematics course such as 323, 340, 370 or 390 is recommended), and a very good understanding of mathematical proof techniques, or instructor’s consent NB: Not offered every year. See department chair.

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