## Courses in Mathematics

*Click on the course title to view a description.*

MATH 1000 Topics in Mathematics (4 sem. hours).

A course with varying topics in mathematics chosen by the instructor. The content may focus on a specific subject or survey several topics in mathematics. Possible topics include mathematics and society, logic and problem solving, and models in business and the social sciences. This course does not serve as a prerequisite for any other mathematics course. Prerequisite: A minimum ACT mathematics sub score of 16, a SAT score of 390, a SAT-revised score of 430, or by petitioning the instructor. Offered in rotation.

MATH 1130 Precalculus(4 sem. hours).

A review of algebraic expressions, equations, and inequalities, and a study of linear, polynomial, rational, exponential, logarithmic, and trigonometric functions. Credit is not allowed for students who have received college credit for precalculus or any calculus course. Prerequisite: A minimum ACT mathematics sub score of 19, a SAT score of 460, a SAT revised score of 500, or by petitioning the instructor. Credit is not allowed for both MATH 1130 and College Algebra. Offered every year during the fall and spring semesters.

MATH 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. Prerequisite: A minimum ACT mathematics subscore of 16, a SAT score of 390, a SAT revised score of 430, or by petitioning the instructor. Offered every year in the Fall and Spring semesters.

MATH 1700-3 Mathematics Undergraduate Research for Freshmen (1-4 sem. hours).

MATH 1750-3 Mathematics Special Topics for Freshmen (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 by the instructor, topics could include mathematics in art and architecture, financial mathematics, and cryptology. Offered occasionally.

MATH 1800-3 Mathematics Directed/Independent Study for Freshmen (1-4 sem. hours).

MATH 1850-3 Mathematics Internships for Freshmen (1-4 sem. hours).

MATH 1210 Business 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. Credit is not allowed for both MATH 1210 and MATH 1220. Prerequisite: MATH 1130 with grade of C- or better, a minimum ACT mathematics subscore of 24, a SAT score of 550, or a SAT revised score of 571. Offered every year in the Fall, Spring, and Summer. This course will not satisfy the calculus requirement for the BS degree.

MATH 1220 Analytic Geometry and Calculus I (4 sem. hours).

Topics include limits, continuity of functions, the derivative, anti-derivatives, integrals, the fundamental theorem, and applications. Credit is not allowed for both MATH 1210 and MATH 1220. Prerequisite: MATH 1130 with grade of C- or better, a minimum ACT mathematics subscore of 24, a SAT of 550, or a SAT revised score of 571. Offered every year in the Fall, Spring, and Summer.

MATH 2230 Analytic Geometry and Calculus II (4 sem. hours).

Topics include 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, a minimum ACT mathematics sub score of 28, a SAT score of 650,or by petitioning the instructor. Offered every year in the fall and spring.

MATH 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 by petitioning the instructor. Offered every year in the spring semester.

MATH 2310 Introduction to Advanced Mathematics (4 sem. hours).

Topics include logic and proofs, set theory, relations, functions, and cardinality. Prerequisite: MATH 1220, a minimum ACT mathematics subscore of 28, a SAT score of 630, a SAT-revised score of 650, or by petitioning the instructor. Offered every year in the Fall and Spring semesters.

MATH 2700-3 Mathematics Undergraduate Research for Sophomores (1-4 sem. hours).

MATH 2750-3 Mathematics Special Topics for Sophomores (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 or by petitioning the instructor. Offered occasionally.

MATH 2800-3 Mathematics Directed/Independent Study for Sophomores (1-4 sem. hours).

MATH 2850-3 Mathematics Internships for Sophomores (1-4 sem. hours).

MATH 3530 Mathematical Modeling (4 sem. hours).

This course introduces the basic ideas of mathematical modeling and analyzes several models in natural and social sciences in detail, including models on arms races, single species populations, voting procedures, cultural stability, and game theory.

MATH 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 or by petitioning the instructor. Offered every year in the fall semester.

MATH 3560 Discrete Structures (4 sem. hours).

Topics include predicate logic, algorithms, modular arithmetic, counting techniques, recurrence relations, principle of inclusion exclusion, graph theory, and trees. Prerequisite: MATH 2230 and 2310 or by petitioning the instructor. This course is the same as CSCI 3500. Offered in alternate years.

MATH 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. Offered occasionally.

MATH 3580 Complex Variables (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 2240 or by petitioning the instructor. Offered in rotation.

MATH 3620 Number Theory (4 sem. hours).

Prime numbers and their distribution, divisibility MATH properties of the integers, Diophantine equations and their applications, theory of congruencies, Fermat’s Theorem, quadratic reciprocity, and the historical background in which the subject evolved. Prerequisite: MATH 2310 or by petitioning the instructor. Offered in rotation.

MATH 3650 Linear Algebra (4 sem. hours).

Systems of linear equations with emphasis on the Gauss-Jordan technique, invertible matrices, determinants, geometric vectors with applications to analytic geometry, physics, real finite dimensional vector spaces with applications through linear transformations, eigenvectors, eigenvalues, orthogonal diagonalization, and symmetric matrices. Prerequisite: MATH 2230 or by petitioning the instructor. Offered every year in spring semester.

MATH 3700-3 Mathematics Undergraduate Research for Juniors (1-4 sem. hours).

Research in special areas under the guidance of the instructor. Prerequisite: Consent of the instructor. Offered occasionally.

MATH 3750-3 Mathematics Special Topics for Juniors (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. This course may be repeatable with different topic. Offered occasionally.

MATH 3800-3 Mathematics Directed/Independent Study for Juniors (1-4 sem. hours).

MATH 3850-3 Mathematics Internships for Juniors (1-4 sem. hours).

Practical experience and training with selected research, or teaching mathematics. Credit/no credit grading only. Offered occasionally.

MATH 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 MATH 2310 or by petitioning the instructor. Offered every year in spring semester.

MATH 4620 Abstract Algebra (4 sem. hours).

A rigorous treatment of groups, rings, ideals, isomorphisms, homomorphisms, integral domains, and fields. Prerequisite: MATH 2310 or by petitioning the instructor. Offered every year in fall semester.

MATH 4630 Real Analysis (4 sem. hours).

A rigorous treatment of limits, continuity, differentiation, integration, and convergence in n-dimensional Euclidean spaces. Prerequisite: MATH 2310 and MATH 2240 or by petitioning the instructor. Offered every year in spring semester.

MATH 4640 Graph Theory (4 sem. hours).

A theoretical study of trees, connectivity, Eulerian graphs, Hamiltonian graphs, planarity, colorability, and extremal graph theory. Prerequisite: MATH 2310 or by petitioning the instructor. Offered in rotation.

MATH 4660 Topology (4 sem. hours).

Consideration of topological spaces, including metric spaces, product spaces, and quotient spaces; separation axioms; connectedness; compactness; and continuous functions. Prerequisite: MATH 2310 or by petitioning the instructor. Offered occasionally.

MATH 4700-3 Mathematics Undergraduate Research for Seniors (1-4 sem. hours).

MATH 4750-3 Mathematics Special Topics for Seniors (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. This course is repeatable with different topic. Offered occasionally.

MATH 4800-3 Mathematics Directed/Independent Study for Seniors (1-4 sem. hours).

MATH 4850-3 Mathematics Internships for Seniors (1-4 sem. hours).

MATH 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 by petitioning the instructor. Offered every year in Fall and Spring semesters.

MATH HI-HII Honors Project 1 and 2 (1-4 sem. hours).

Offered occasionally.