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Course Criteria
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3.00 Credits
This course offers an investigation into the basic properties of the integers. Topics include divisibility, distributions of primes, sum of squares, congruence, number theoretic functions and quadratic reciprocity. Prerequisite: MTH 2520.
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3.00 Credits
High school mathematics content is studied through a lens that enables students to deepen their understanding of mathematics by making connections between mathematical ideas, seeing the content in context, applying mathematics in a range of settings, and understanding the historical development of ideas. Topics include: real and complex numbers, functions, equations, algebraic structures, induction recursion, divisibility properties, integers and polynomials. Prerequisites: MTH 2530, MTH 3060.
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3.00 Credits
A study of various types of geometries: Euclidean, non-Euclidean, projective, affine, finite. Various methods of studying these geometries, axiomatic, transformational and synthetic Prerequisite: MTH 2520.
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3.00 Credits
This course is a survey of the history of mathematics from ancient times through the development of calculus and the origins of modern algebra in the nineteenth century. Topics of the history of mathematics will be examined using a problem solving approach. Prerequisite: MTH 2530.
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3.00 Credits
High school mathematics content is studied through a lens then enables students to deepen their understanding of mathematics by making connections between mathematical ideas, seeing the content in new contexts, applying mathematics in a range of settings, and understand the historical development of ideas. Topics include: Euclidean congruence, transformational congruence, symmetry, distance, similarity, trigonometry, area, volume, axiomatic systems and the Cartesian model of the Euclidean Plane. Prerequisite: MTH 2530, MTH 3060.
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3.00 Credits
This course serves as a capstone experience. Students will demonstrate their understanding of various topics in mathematics through projects and extended readings. Prerequisite: Senior mathematics majors or permission of division.
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3.00 Credits
Number theory, equivalence and congruence, groups, rings and fields, solution of polynomial equations. Prerequisites: MTH 2530, MTH 3060 or permission of division.
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3.00 Credits
This course is an introduction into the language and procedures of modern mathematics by means of an axiomatic-intuitive study of logic and set theory. The genesis of the real number system beginning with Peano’s postulates and the set of natural numbers. Other selected topics will be covered at the discretion of the instructor. Prerequisite: MTH 2520.
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3.00 Credits
Advanced combinatorial topics and methods, including design theory, generating functions, graph theory, posets, Ramsey theory, systems of distinct representatives, applications of linear algebra. Prerequisites: MTH 2350 and MTH 3060.
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3.00 Credits
This course covers selected advanced topics in mathematics or statistics. Prerequisite: Permission of division.
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