Mathematics

Course Descriptions

1100 College Algebra (4 sem. hours). Topics include solving polynomial equations and inequalities, functions and their graphs, systems of equations, properties of logarithmic and exponential functions, elementary analytic geometry, and applications of these topics. This course can be used as a single course preparation for MATH 1210 or as the first in a two-semester preparation for MATH 1220. (The second course in this sequence is Trigonometry.) Credit is not allowed for both MATH 1100 and MATH 1130.

1110 College Trigonometry (4 sem. hours). The basic analytic and geometric properties of the trigonometric functions are studied. A preparatory course for the calculus sequence. Credit is not allowed for both MATH 1110 and MATH 1130. Prerequisite: MATH 1100 or departmental approval.

1130 Precalculus (4 sem. hours). This course covers topics included in College Algebra and Trigonometry. It is a one-semester preparatory class for the calculus sequence. Credit is not allowed for both MATH 1100 and MATH 1130.

1150 Elementary Statistics (4 sem. hours). Introduction to descriptive statistics and statistical inference. Topics include the Central Limit Theorem, confidence intervals, chi square test of independence and goodness of fit, analysis of variance, correlation, and regression analysis. Applications to business, education, and other disciplines are emphasized. Course includes a computer-based laboratory.

1750–1753 Selected Topics in Introductory Mathematics (1–4 sem. hours). A narrowly defined, introductory study of an area of mathematics that is not covered through regular departmental offerings. While the course content will be decided upon by the instructor, topics could include mathematics in art and architecture, financial mathematics, and cryptology. Prerequisite: consent of the instructor.

1210 Survey of Calculus (4 sem. hours). Topics include limits, the derivative, applications of the derivative with focus on applications in business and the social sciences, antiderivatives, and applications of the definite integral. Course includes a computer-based laboratory. Credit is not allowed for both MATH 1210 and MATH 1220. Prerequisite: MATH 1100 or 1130 or departmental approval.

1220 Analytic Geometry and Calculus I (4 sem. hours). Topics include limits, continuity of functions, the derivative, antiderivatives, integrals, the fundamental theorem, and applications. Course includes a computer-based laboratory. Credit is not allowed for both MATH 1210 and MATH 1220. Prerequisite: MATH 1100 and MATH 1110, MATH 1130, or departmental approval.

2230 Analytic Geometry and Calculus II (4 sem. hours). Integration techniques; applications of the integral; the properties of exponential, logarithmic, trigonometric, and inverse trigonometric functions; indeterminate forms; improper integrals; and an introduction to infinite series. Prerequisite: MATH 1220 or departmental approval.

2240 Analytic Geometry and Calculus III (4 sem. hours). A continuation of MATH 2230. Infinite series, partial derivatives, and multiple integrals and their applications. Prerequisite: MATH 2230 or departmental approval.

2310 Introduction to Advanced Mathematics (4 sem. hours). Topics include logic and proofs, set theory, relations, functions, and cardinality. Prerequisite: MATH 1220.

2750-2753 Selected Topics in Intermediate Level Mathematics (1–4 sem. hours). A study of mathematical topics not covered in regular departmental offerings, or an extension of materials covered in regular departmental offerings. Prerequisite: MATH 1220.

3410 College Geometry (4 sem. hours). A study of advanced topics in Euclidean geometry and an introduction to non-Euclidean geometries. Selected topics from finite and projective geometries. Prerequisite: MATH 2310. Offered occasionally.

3540 Differential Equations (4 sem. hours). An introduction to ordinary differential equations, emphasizing equations of first and second order; linear differential equations of higher order and applications to physics, chemistry, and medicine. Prerequisite: MATH 2230.

3560 Discrete Structures (4 sem. hours). Topics covered include predicate logic, algorithms, modular arithmetic, counting techniques, recurrence relations, graph theory, and trees. Prerequisite: MATH 2230 and 2310. This course is the same as CSCI 3500. Offered in alternate years.

3570 Numerical Analysis (4 sem. hours). Solutions of nonlinear equations and systems of linear equations, error analysis, numerical integration and differentiation, solution of differential equations, interpolation, and approximation. Prerequisite: MATH 3540 and 3650, and CSCI 1010 or the equivalent. Offered occasionally.

3620 Number Theory (4 sem. hours). Prime numbers and their distribution, divisibility properties of the integers, Diophantine equations and their applications, theory of congruencies, Fermat’s Theorem, quadratic reciprocity, and the historical back ground in which the subject evolved. Prerequisite: MATH 2310. Offered in alternate years.

3650 Linear Algebra (4 sem. hours). Systems of linear equations with emphasis on the Gauss-Jordan technique, determinants geometric vectors with applications to analytic geometry, physics, real finite dimensional vector spaces with applications through linear transformations, eigenvectors, eigenvalues, orthogonal diagonaliza- tion, and symmetric matrices. Prerequisite: MATH 2230.

3700–3703 Undergraduate Research (1–4 sem. hours). Research in special areas under the guidance of the instructor. Prerequisite: consent of the instructor.

3750-3752 Selected Topics in Advanced Mathematics (1–4 sem. hours). A study of an area of mathematics that is not covered in regular departmental offerings, or an extension of materials covered in regular departmental offerings. Prerequisite: consent of the instructor.

4510 Mathematical Statistics (4 sem. hours). Topics include sample spaces, discrete and continuous probability distributions, independence and conditional probability, properties of distributions of discrete and random variables, moment-generating functions, sampling distributions, and parameter estimation. Prerequisite: MATH 2240 and 2310. Offered in alternate years.

4620 Abstract Algebra (4 sem. hours). A rigorous treatment of groups, rings, ideals, isomorphisms, homomorphisms, integral domains, and fields. Prerequisite: MATH 2310. Offered in alternate years.

4630 Advanced Calculus (4 sem. hours). A rigorous treatment of limits, continuity, differentiation, integration, and convergence in n-dimensional Euclidean spaces. Prerequisite: MATH 2310 and 2240. Offered in alternate years.

4660 Topology (4 sem. hours). Consideration of topological spaces, including metric spaces, product spaces, and quotient spaces; separation axioms; connectedness; compact- ness; and continuous functions. Prerequisite: MATH 2310. Offered occasionally.

4750–4753 Selected Topics in Advanced Mathematics (1–4 sem. hours). A study of an area of mathematics not covered in regular departmental offerings that require a high level of mathematical sophistication. Prerequisite: consent of the instructor.

4800 Graph Theory (4 sem. hours). A theoretical study of trees, connectivity, Eulerian
151 graphs, Hamiltonian graphs, planarity, colorability, and extremal graph theory. Prerequisite: MATH 2310. Offered in alternate years.

4810 Complex Analysis (4 sem. hours). Topics include complex numbers, sets, and functions; limits and continuity; analytic functions; cauchy theorems and integrals; Taylor and Laurent series; residues; and contour integration. Prerequisite: MATH 2310 and MATH 2240 or consent of the department chair. Offered occasionally.

4902–4912 Senior Seminar (2 sem. hours each). Reading and research in advanced mathematics; group and individual presentations both oral and written; preparation for comprehensive examination; opportunities to expand understanding of topics of interest to the individual student. Prerequisite: senior standing or consent of the instructor.