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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.
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.
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.
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.
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.
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.
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.