MATH 420 – Mathematical Probability
Prerequisites/Corequisites: Take MATH-306 MATH-230 or MATH-311; Minimum grade C. (Required, Previous). Credit Hours: Min: 3; Max: Description: Introduction to probability theory to include the topics of probability spaces, conditional probability and independence, combinatorial theory, random variables, special discrete and continuous distributions, expected value, jointly distributed random variables, order statistics, moment generating functions and characteristic functions, […]
MATH 422 – Nonlinear Optimization
Prerequisites/Corequisites: Take MATH-306. (Required, Previous). Credit Hours: Min: 3; Max: Description: Nonlinear optimization topics including derivatives, partial derivatives, one-dimensional search techniques, multi-dimensional search techniques, both unconstrained and constrained optimization techniques including LaGrange Multipliers and Kuhn-Tucker Conditions, and specialized techniques. Emphasis is on optimization theory, numerical algorithms with error analysis, and solving applied problems.
MATH 408 – Real Analysis II
Prerequisites/Corequisites: Credit Hours: Min: 3; Max: Description:
MATH 409 – Complex Analysis I
Prerequisites/Corequisites: Take MATH-311; Minimum grade C. (Required, Previous). Credit Hours: Min: 3; Max: Description: Complex numbers and functions, derivatives and integrals of complex functions, the Cauchy integral theorem and its consequences, residue theory, and conformal mapping. Additional topics as time permits.
MATH 410 – Complex Analysis II
Prerequisites/Corequisites: Credit Hours: Min: 3; Max: Description:
MATH 411 – Topology I
Prerequisites/Corequisites: Take MATH-311; Minimum grade C. (Required, Previous). Credit Hours: Min: 3; Max: Description: Introduction to Point Set Topology including discussion of limit points, continuity, compactness, connectedness, metric spaces, locally compact spaces, locally connected spaces, and the Baire Category Theorem.
MATH 375 – Fundamental Skills of Mathematics
Prerequisites/Corequisites: Credit Hours: Min: 3; Max: Description: An apprenticeship offered in the freshman mathematics program. Each student will work under the careful supervision of a mathematics faculty member who will assign outside reading as well as evaluate performance in both oral and written examinations.
MATH 406 – Modern Algebra II
Prerequisites/Corequisites: Credit Hours: Min: 3; Max: Description:
MATH 407 – Real Analysis I
Prerequisites/Corequisites: Take MATH-311; Minimum grade C. (Required, Previous). Credit Hours: Min: 3; Max: Description: At the intermediate-level covers the following topics: Cauchy sequences and the construction of real numbers, sequences and series of real numbers, the real line as a metric space, continuity and uniform continuity, derivatives of real-valued functions of one real variable, spaces […]
MATH 330F – Spec Top Math:Modeling for Sciences
Prerequisites/Corequisites: Credit Hours: Min: 3; Max: Description:
MATH 330G – Special Topics:Mathematics I
Prerequisites/Corequisites: Credit Hours: Min: 3; Max: Description:
MATH 332 – Discrete Mathematics II
Prerequisites/Corequisites: Take MATH-230 or MATH-311; Minimum grade C. (Required, Previous). Credit Hours: Min: 3; Max: Description: Major topics covered include sums, recurrences, relations and functions including integer functions (mod, floor, ceiling), elementary number theory, binomial coefficients, discrete probability, and graphs. Additional topics may be chosen from generating functions (solving recurrences, convolutions), special numbers (e.g., Stirling, […]