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Course Criteria
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3.00 Credits
An indepth treatment of the computer software "Mathematica" with emphasis onprogramming in the "Mathematica" language to solve selected problems.Prerequisites: grades of C or better in MATH 2110 and 3610, and COMP 2120, or permission of the Department Head. Offered in fall.
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3.00 Credits
Divisibility properties for the integers, the greatest common divisor, unique factorization, congruences, Diophantine equations, the Euler function,Wilson's theorem, the Chinese remainder theorem, and other elementary properties of number. Prerequisite: grade of C or better in MATH 1920 or permission of the Department Head. Offered in fall.
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1.00 Credits
The second of in a two semester sequence of seminars designed to familiarize the mathematics major with the tools necessary to do research in mathematics. Included are logic, reading and writing mathematics, research methods and typesetting.MRE II is a continuation of the topics with emphasis on writing and presentation. Prerequisite: grade C or better in MATH 2500 or permission of the Department Head. Required of all Mathematics majors (except for teacher certification candidates) Offered in fall.
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3.00 Credits
A study of the foundations of real variable calculus, including the real numbers, limits, sequences, continuity, Bolzano-Weierstrass theorem, Heine-Borel theorem, intermediate-value theorem, and differentiability. Prerequisite: grade of C or better in MATH 1920 or permission of the Department Head. Required of all Mathematics and Physics majors. Offered in spring and summer.
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3.00 Credits
A continuation of MATH 3610. It is strongly recommended that 3610 and 3620 be taken sequentially. Topics include a further treatment of linear transformations, rank, eigenvalues, eigenvectors, and the spectral theorem. Prerequisite: grade of C or better in MATH 3610. Required of all Mathematics majors. Offered in spring.
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3.00 Credits
An introduction to properties of groups, rings, integral domains, and fields. Prerequisites: grades of C or better in MATH 1920 and 3210, or permission of Department Head. Required of all Mathematics majors. Offered in spring.
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3.00 Credits
Lectures, discussions, and reports on materials and methods used in the instruction of mathematics at the middle school and high school level. Clinical and field-based experiences which call for active participation by students are part of the course requirements. Required of all students seeking certification in Mathematics. Prerequisite: official admission to the Teacher Education Program. Offered in spring.
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3.00 Credits
A brief review of Euclidean geometry with further topics, including the non-Euclidean and projective geometries. Prerequisite: grade of C or better in MATH 1920 or permission of the Department Head. Required of all teacher certification candidates in Mathematics. Offered in fall of odd numbered and summer of even-numbered years.
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3.00 Credits
Errors, interpolation, approximations, numerical quadrature, solution of ordinary differential equations. Prerequisite: grade of C or better in MATH 1920 or permission of the Department Head. Offered on demand.
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3.00 Credits
Homeomorphisms, connectedness, compactness, metric spaces, normal spaces, Urysohn's lemma, Tietze's theorem, separation axioms, producttopology, Hilbert space, quotient space, paracompactness, nets, and filters, with an introduction to homotopy theory. Prerequisites: grades of C or better in MATH 2110, and 3510, or permission of the Department Head. Offered on demand.
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