MAT 303A Abstract Algebra I (3 Credit Hours) DII
Prerequisite: MAT 214 or MAT 221
This course provides a systematic study of the most common and useful rings and groups: integers, rational numbers, real numbers, complex numbers, residue classes, polynomials, and matrices. Both computational and structural aspects are treated. Three lecture hours per week. Not open to students who have received credit for MAT 303.
MAT 304A Linear Algebra I (3 Credit Hours) DII
Prerequisite: MAT 214 or MAT 221
A systematic study of vector spaces and linear transformations including the algebra of matrices, determinants, inner products, eigenvalues, and eigenvectors. Three lecture hours per week.
MAT 306 Number Theory (3 Credit Hours)
Prerequisite: MAT 303
An introduction to divisibility theory, prime numbers, congruences, Diophantine equations, number-theoretic functions, primitive roots, and indices, and quadratic residues. Three lecture hours per week.
MAT 308 Linear Programming (3 Credit Hours) DII
Prerequisite: MAT 210 or MAT 220 or equivalent
Topics studied: linear equations and inequalities, convex regions, the simplex algorithm, duality and minimax theorems, matrix games, transportation and assignment problems. Experience is provided in the computer solution of linear programming problems and in applications to business and the sciences. Three lecture hours per week.
MAT 314 Discrete Mathematics (3 Credit Hours)
Prerequisite: MAT 303
Topics include finite-state machines, feedback, partially ordered sets, lattices, recursion and iteration with applications to logic, circuit design, and computer systems. Three lecture hours per week.
MAT 316 Combinatorial Mathematics (3 Credit Hours)
Prerequisite: MAT 214 or MAT 221
A survey of combinatorial methods including graphs, networks, permutations and combinations, partitions, and enumeration theory. Three lecture hours per week.
MAT 320 Calculus III (4 Credit Hours)
Prerequisite: MAT 221
This course extends important ideas of single variable calculus to higher dimensional settings. Topics include polar coordinates and calculus using polar coordinates, vector algebra and vector valued functions, cylindrical and spherical coordinates, calculus of multivariable functions (partial derivatives, limits, continuity, directional derivatives, gradients, Chain Rule), tangent planes and approximation, maxima and minima, double and triple integrals in Cartesian, cylindrical, and spherical coordinates. Four lecture hours per week.
MAT 323 Numerical Analysis (3 Credit Hours)
Prerequisite: MAT 221
A study of numerical methods. Topics include root finding for non-linear equations, polynomial interpolation, series methods, numerical integration, finite differences, and solutions of linear systems. Efficiency, accuracy and round off and truncation errors are considered. Computer implementation of selected methods is included. Three lecture hours per week.