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Course Criteria
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3.00 Credits
Prerequisite: C or better in MATH 3030. An introduction to the basic structures of algebra including groups, rings, and fields along with their substructures as well as the ideas of homomorphism and isomorphism. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in MATH 4081. A study of algebraic basic structures using more sophisticated methods and in greater depth. Topics may include: the Sylow theorems for group theory, finite field theory, dual spaces, category theory, and applications of abstract algebra. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in MATH 3030. An introduction to the basic problems, terminology, and methods of elementary number theory. Topics include: division algorithm, Euclidean algorithm, Diophantine equations, fundamental theorem of arithmetic, prime numbers and their distribution, perfect numbers, congruences, Fermat's Little Theorem, Wilson's Theorem, Euler's Phi Function, Euler's Theorem, primitive roots, and quadratic reciprocity. This course is non-repeatable.
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3.00 Credits
Prerequisites: C or better in both MATH 2263 and MATH 3030. Basic properties of the real numbers, limits, continuity of functions, formal definitions of derivative and integral. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in MATH 4261. This course is a continuation of MATH 4261. Additional topics may include series, vectors and multidimensional methods. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in both MATH 2263 and MATH 3030. An introduction to functions of a complex variable. Topics include the Cauchy- Riemann equations, line integrals, the Cauchy integral formulas, Laurent series, harmonic functions and conformal mapping. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in both MATH 2263 and MATH 2150. Ordinary differential equations with applications are the primary focus. Some consideration is given to existence and uniqueness theorems. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in MATH 3030. An axiomatic development of Euclidean geometry and an introduction to non-Euclidean geometry. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in MATH 2263 and (C or better in MATH 2150 or C or better in MATH 3030). A calculus-based first course in probability theory. Topics include combinatorial analysis, probability axioms, conditional probability, independence, discrete and continuous random variables, jointly distributed random variables, expectation, and limit laws such as the weak and strong laws of large numbers and the central limit theorem. This course is non-repeatable.
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3.00 Credits
Prerequisite: C or better in MATH 4600. A calculus-based introduction to the theory and applications of statistical methods. Topics include estimation and prediction, inference and hypothesis testing, linear and multiple regression, analysis of variance, and nonparametric statistical methods. This course is non-repeatable.
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