MATH-1990 3 hours Beautiful Math Structures and Thinking–Fa This course introduces freshmen math majors to interesting mathematical ideas and applications beyond the usual scope of standard math courses. Topics include an introduction to propositional logic, function theory, and infinite sets. Other topics will be chosen from elementary number theory, modular arithmetic, error-correcting codes, Fibonacci numbers and the golden ratio, fractals, discrete dynamical systems and chaos, Euler and Hamilton Circuits, democracy and impossibility theorems, game theory, the Platonic solids, n-dimensional space, and other topics up to the discretion of the instructor. MATH-2210 Logic and Methods of Proof–Fa 3 hours Introduction to formal mathematical logic; emphasis on preparing students for the abstraction of upper-division courses. Special attention is given to the development of students’ skills with a variety of methods of proof, using examples from numerous areas. Prerequisites: MATH-1720 Calculus II; MATH1990 Beautiful Math Structures and Thinking; or permission of instructor. MATH-2510 Discrete Math for Computer Science–Sp 3 hours An introduction to mathematical foundations of computer science, including propositional and predicate calculus, methods of proof, sets and relations, recurrences, graphs and trees, and program correctness and proofs. This course does not satisfy any requirements for the BA or BS in mathematics or the BA in integrated mathematics education. Prerequisite: MATH-1710 Calculus I. MATH-2520 3 hours Discrete Math and Probability Principles for Computer Science–Sp An introduction to mathematical foundations of computer science, including propositional and predicate calculus, methods of proof, sets and relations, recurrences, program correctness and proofs, probability models, random variables, probability distributions, estimation, and hypothesis testing. This course does not satisfy any requirements for the BA or BS in mathematics or the BA in integrated mathematics education Prerequisites: MATH1720 Calculus II; EGCP-1010 Digital Logic Design. MATH-2705 Calculus IIIA–Fa, Sp 3 hours Third course in a four-course sequence covering the concepts of calculus and analytic geometry. Introduction to vectors and differential calculus of several variables. Topics include vectors and geometry in three-space, vector-valued functions, curvature, partial derivatives, directional derivatives, gradients, extrema of functions of several variables, optimization, and Lagrange multipliers. Prerequisite: MATH-1715 Calculus II or equivalent; or permission of instructor. MATH-2710 Calculus III–Fa, Sp 3 hours Fourth course of a four-course sequence covering the concepts of calculus and analytic geometry. Introduction to integral calculus of several variables and vector analysis. Topics include double and triple integrals, cylindrical and spherical coordinates, center of mass and moments of inertia, Jacobians, vector fields, line integrals, Green's Theorem, parametric surfaces, surface integrals, the Divergence Theorem, and Stoke's Theo. Prerequisite: MATH1720 Calculus II or equivalent or permission of instructor. MATH-2715 Calculus IIIB–Fa, Sp 3 hours Fourth course of a four-course sequence covering the concepts of calculus and analytic geometry. Introduction to integral calculus of several variables and vector analysis. Topics include double and triple integrals, cylindrical and spherical coordinates, center of mass and moments of inertia, Jacobians, vector fields, line integrals, Green's Theorem, parametric surfaces, surface integrals, the Divergence Theorem, and Stokes' Theorem. Prerequisite: MATH-2705 Calculus IIIA or equivalent; or permission of instructor. MATH-2740 Differential Equations–Fa, Sp 3 hours Study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Prerequisite: MATH-1720 Calculus II or equivalent. MATH-2800 LaTeX for Technical Documents–Sp 1 hour In this course students will be introduced to the typesetting language of LaTeX through the use of tutorials, example documents, and homework assignments. They will learn to easily prepare professional-looking theses, conference papers, and journal papers. They will also learn how to create professionallooking presentations, homework, quizzes, examinations, syllabi, resumés, and curriculum vitae. MATH-3050 4 hours Algebraic Structures for Secondary Education Majors–Fa An introduction to the basic ideas of number theory, abstract algebra, and linear algebra. Factorization of integers, congruence modulo m, Fermat’s Theorem, groups, rings, integral domains, fields, vector spaces, systems of linear equations, determinants and inverses, linear transformations, eigenvalues, and eigenvectors. Does not count toward BA or BS majors in mathematics. Prerequisite: MATH-2210 Logic and Methods of Proof. (even years) MATH-3110 Probability and Statistics–Sp 3 hours Probability models, random variables, probability distributions, estimation, and hypothesis tests are studied from theoretical and practical viewpoints. Prerequisite: MATH-1720 Calculus II. MATH-3120 Theory of Probability–Sp 3 hours Topics include combinatorial analysis, axioms of probability, conditional probability, independent events, Bayes’ Formula, random variables, expected value, variance, discrete distributions, continuous distributions, joint distributions, the Law of Large Numbers, and the Central Limit Theorem. Prerequisites: MATH2710 Calculus III; MATH-2210 Logic and Methods of Proof. MATH-3240 Introduction to Operations Research–Fa 3 hours Formulation and analysis of mathematical models for the optimal solution of decision-making problems under certainty. Course content includes linear programming; the simplex method, duality and sensitivity analysis. This course applies probabilistic analysis to such nondeterministic models as queueing models, elements of dynamic programming, and Markov decision analysis. Prerequisite: MATH-3610 Linear Algebra or permission of the instructor. (even years) MATH-3500 Number Theory–Fa 3 hours Introduction to most of the topics of elementary number theory such as modular arithmetic, prime factorizations, linear diophantine equations, the Chinese remainder theorem, quadratic reciprocity, Pythagorean triples, number theoretic functions, and related topics. Concrete examples will illustrate the concepts and abstract reasoning will develop the theories considered in the course. Prerequisite: MATH-2210 Logic and Methods of Proof. (odd years) MATH-3550 Discrete Math: Graph Theory–Fa 3 hours Introduction to the basic concepts of graph theory and discrete mathematics problem-solving. Topics covered include elements of graph theory, covering circuits, graph coloring, trees and searching, and network algorithms. Prerequisite: MATH-2210 Logic and Methods of Proof. (odd years) MATH-3560 Discrete Math: Combinatorics–Sp 3 hours Study of combinatorial reasoning, focusing on enumeration. Intended to develop a proficiency in methods of enumerative problem solving. Topics chosen from areas such as counting methods for arrangements and selections, permutations and combinations, generating functions, partitions, and recurrence relations. Prerequisite: MATH-2210 Logic and Methods of Proof or MATH-2520 Discrete Math and Probability Principles for Computer Science.(odd years) 2025–26 Undergraduate Academic Catalog Page 281 Course Descriptions MATH-1990 – MATH-3560
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