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Course Criteria
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3.00 Credits
Error analysis, finite differences, integrative methods, interpolation, and numerical differentiation and integration are the topics studied in this class. Prerequisite: MATH 290 Calculus III or equivalent
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3.00 Credits
This is the first course in abstract algebra. Topics include study of groups, permutations, cyclic groups, sub-groups, isomorphism, cosets, rings, fields, and integral domains. Prerequisites: MATH 295 Survey of Modern Math and MATH 191 Calculus II or equivalent
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3.00 Credits
Abstract Algebra II is a study of groups, rings, ideals, lattices, solvable groups, and roots of polynomial equations. It is a continuation of MATH 370. Prerequisite: MATH 370 Abstract Algebra I or equivalent
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3.00 Credits
This is a study of sets, mappings, sequences, connected, open and closed sets, continuity, uniform convergence, and metric spaces. The course offers an introduction to measure theory. Prerequisites: MATH 295 Survey of Modern Math and MATH 191 Calculus II or equivalent
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3.00 Credits
This course is a historical narrative of the development of major mathematical ideas and concepts over the centuries. Students concentrate on related problems and their applications, the study of which provides them with valuable information in business, science, education, and research. Knowledge of the rudiments of mathematics through calculus is desirable for the course. Prerequisite: MATH 191 Calculus II or equivalent
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3.00 Credits
Topology is an introductory course in which sets, functions, topological spaces, subspaces, continuity, connectedness, compactness, separation properties, metric spaces, and product spaces are studied. Corequisite: MATH 291 Calculus IV or equivalent
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3.00 Credits
This course offers a study of divisibility, the division algorithm, Euclid's algorithm, prime numbers, congruences, number theoretic functions, and quadratic reciprocity. Corequisite: MATH 290 Calculus III or equivalent
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3.00 Credits
In this course advanced topics of calculus are presented. Elementary calculus, real number system, properties of continuous functions, extensions of the mean-value theorem, Taylor series, and functions of several variables are rigorously considered. Prerequisite: MATH 291 Calculus IV or equivalent
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3.00 Credits
Elements of partial differentiation, implicit function theorems, inverse function theorem, line integrals, Green's Theorem, transformation of double integrals, uniform continuity, theory of integration, uniform convergence, and infinite series are studied in this course. Prerequisite: MATH 450 Advanced Calculus I or equivalent
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1.00 Credits
Please see the Graduate Catalog for course description.
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