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Course Criteria
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3.00 Credits
Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MATH 1220 OR MATH 1210 and a choice of MATH 3110 or MATH 3160.
Prerequisite:
APM1 4 and APM2 3 and MATH 1210 and MATH 1220 and MATH 3110 and MATH 3160
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3.00 Credits
Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: MATH 1220 OR MATH 1210 and a choice of MATH 3110 or MATH 3160.
Prerequisite:
APM1 4 and APM2 3 and MATH 1210 and MATH 1220 and MATH 3110 and MATH 3160
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3.00 Credits
Fourier series and the method of separation of variables. Heat, wave, and potential equations, Sturm-Liouville problems, orthogonal functions, special functions. Prerequisite: MATH 2210 and MATH 2280.
Prerequisite:
MATH 2210 and MATH 2250 and MATH 2280
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3.00 Credits
Analysis and applications of a function of a single complex variable. Analytic function theory, path integration, Taylor and Laurent series and elementary conformal mapping are studied. Prerequisite: MATH 2210.
Prerequisite:
MATH 2210
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3.00 Credits
Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MATH 2270 and MATH 3110.
Prerequisite:
MATH 2270 and MATH 3110
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3.00 Credits
A continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MATH 4110.
Prerequisite:
MATH 4110
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3.00 Credits
An introduction to the mathematical concepts on which cryptography is based and an introduction to basic cryptographic systems. The course will typically be offered every other year.
Prerequisite:
CS 1410 and MATH 3110 and MATH 3160 and MATH 3410 and MATH 4110
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3.00 Credits
Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis.
Prerequisite:
MATH 2210 and MATH 2270 and MATH 3110
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3.00 Credits
A continuation of MATH 4210 - Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis.
Prerequisite:
MATH 4210
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3.00 Credits
Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other topics may include the Baire Category Theorem and Tietze Extension Theorem. Prerequisite: MATH 2210, MATH 2270 and MATH 3110.
Prerequisite:
MATH 2210 and MATH 2270 and MATH 3110
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