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Course Criteria
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3.00 Credits
1 semester, 3 credits A continuation of MTH 323. Riemann integral, fundamental theorem of calculus, sequences and series of functions, topology of Euclidean space, differentiation and integration in Euclidean space, inverse function theorem. Prerequisite: MTH 323.
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3.00 Credits
1 semester, 3 credits An introduction into the fundamental techniques and basic concepts of graph theory.Topics include enumeration, connectivity, colorability, traversability, and external problems.
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3.00 Credits
1 semester, 3 credits An area of mathematics that is of interest to the student is pursued under the direction of a faculty member. Prerequisite: Permission of instructor.
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3.00 Credits
2 semesters, 3 credits each In this course, the student has the opportunity to investigate in detail an area or topic in mathematics. Both the topic and instructor(s) should be selected by the student. Prerequisite: Permission of the instructor(s) whose guidance is sought.
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3.00 Credits
1 semester, 3 credits The axiom of Choice and its equivalences,metric and topological spaces, compactness, connectedness, separation, continuous maps and their invariants, the structure of C(X,R), the Stone-Cech Compactification, and the Stone-Weierstrass Approximation theorems. Prerequisites: MTH 324 and permission of the instructor.
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3.00 Credits
1 semester, 3 credits The structure of the complex field, differentiation, the line integral and its applications, series, and conformal mappings are studied. Prerequisites: MTH 223 and permission of the instructor.
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3.00 Credits
2 semesters, 3 credits each Selected topics in advanced calculus and applied mathematics, including topics in partical differential equation, Fourier series, probability, and numerical methods. Prerequisite: MTH 223.
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3.00 Credits
2 semesters, 3 credits each An introduction to probability theory and mathematical statistics. Includes a discussion of various probability distributions and their moments, limit theorems, classical and Bayesian inference and estimation, regression, correlation, and non-parametric methods. Prerequisite: MTH 223.
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3.00 Credits
1 semester, 3 credits An introduction to the history of mathematics, beginning with the origin of mathematics in the great civilizations of antiquity and continuing thru 17th century Europe. Prerequisite: One year of calculus.
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3.00 Credits
1 semester, 3 credits Applications of the digital computer to solutions of problems. Topics included are solutions to non-linear equations, polynomial interpolation and approximation, numerical differentiation and integration, and curve fitting. Same as CSC 440. Prerequisite: MTH 110 or 132.
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