MAT 098. Mathematical Skills. (3) Prerequisite: Placement by examination only. A basic skills course in mathematical skills designed to prepare students for further coursework in Algebra. This course will be graded pass/fail based on an equivalent “C” as a pass. This course does NOT satisfy the Core Curriculum requirement in Area D-2 or D-3. Offered every semester.

MAT 099. Essentials of Algebra. (3) Prerequisite: Placement by examination only. A basic skills course in algebra designed to prepare students for further coursework in Algebra or related Mathematical topics at the collegiate level. Students, who are not able to place into a 100 level math course or higher, are required to enroll in MAT 099. This course will be graded pass/fail based on an equivalent “C” as a pass. This course does NOT satisfy the Core Curriculum requirement in Area D-2 or D-3. Offered every semester. MAT 111. College Algebra. (3) Prerequisite: MAT 099 or suitable placement by examination. Topics include polynomial, rational, radical, exponential and logarithmic expressions and functions; graphing, systems of equations; inequalities. Satisfies Core Curriculum in Area D-2 or D-3. MAT 121, 122. Mathematics for the Liberal Arts. (3, 3) Prerequisite: MAT 099 or suitable placement by examination. A course on the methods and ideas of mathematics as they relate to the liberal arts. Topics such as sets, logic, mathematics and the fine arts, properties of functions, elementary probability and statistics, game theory social choice, financial mathematics, number theory, graph theory, and binary operations. Satisfies Core Curriculum in Area D-2 or D-3. MAT 121 offered fall semester; MAT 122 offered spring semester. MAT 150. Precalculus Mathematics. (4) Prerequisite: A grade of “C” or better in MAT 111 or suitable placement by examination. Fundamental principles of college algebra and trigonometry essential to the study of calculus. Emphasis on functions and their graphs, including polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester. MAT 200. Applied Statistics. (3) Prerequisite: A grade of “C” or better in MAT 111 or suitable placement by examination. A data-oriented approach to statistics by arguing from the sample to the population. Topics include combinatorics, random variables, sampling distributions, estimation, tests of statistical hypotheses, regression, correlation, ANOVA, and nonparametric methods. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester. MAT 211. Calculus I—Differential Calculus. (4) Prerequisite: A grade of “C” or better in MAT 150 or placement by the department. An introduction to single-variable calculus. Functions, limits and continuity, differentiation of algebraic and transcendental functions, introduction to integration and differential equations. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester. MAT 212. Calculus II—Integral Calculus. (4) Prerequisite: A grade of “C” or better in MAT 211 or placement by the department. Continuation of MAT 211. Applications of integration, integration techniques, indeterminate forms and improper integrals, sequences and series, parametric equations in the plane, polar coordinates, first and second order ordinary differential equations. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester. MAT 213. Calculus III. Multivariable Calculus. (4) Prerequisite: A grade of C or better in MAT 212. Continuation of MAT 212. Introduction to multivariable calculus. Analytic geometry of vectors, vector functions, partial derivatives, multiple integrals, and vector calculus. Recommended to be taken concurrent with MAT 225. Offered every fall beginning fall 2014. MAT 221. Basic Concepts of Mathematics. (3) Prerequisite: A grade of “C” or better in MAT 111 or placement by the department MAT 221 is a content course for students intending to become elementary school or early child hood teachers. It is designed to improve, broaden and deepen proficiency, appreciation and understanding of mathematics. Content will include elementary number theory, problem solving strategies, numeration systems, fundamental operations, and algebra. Methods and best practices for teaching elementary school mathematics will be modeled as part of instruction. Special attention will be given to the Common Core State Standards in Mathematics and traditional as well as technological tools and strategies for teaching. Required of all Early Childhood and Elementary Education majors. A grade of “C” or better is required for Elementary Education and Early Childhood majors. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered fall semester. MAT 222. Geometry for Elementary Teachers. (3) Prerequisite: A grade of C or better in MAT 111 or placement by the department. MAT 222 is a content course for students intending to become elementary school or early childhood teachers. A study to develop basic skills in probability and statistics, geometric intuition and fluency of such concepts as congruence, measurement, and similarity. Methods and best practices for teaching elementary school mathematics will be modeled as part of instruction. Special attention will be given to the Common Core State Standards in Mathematics and traditional as well as technological tools and strategies for teaching. Required of all Early Childhood and Elementary Education majors. A grade of C or better is required for Elementary Education and Early Childhood majors. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered spring semester.

MAT 225. Survey of Higher Mathematics . (3) Prerequisite: A grade of “C” or better in MAT 212. A transitional course to prepare students for upper-level courses in mathematics. Logic and proof techniques, set theory, functions, relations, cardinality, concepts of algebra, concepts of analysis. Recommended to be taken concurrent with MAT 213. Offered every fall beginning fall 2014. MAT 227. Discrete Mathematics. (3) Prerequisite: A grade of “C” or better in MAT 225 or departmental approval. An introduction to the various tools and techniques in discrete mathematics. Topics include mathematical logic, sets, relations, algorithms, combinatorics, recursion, graph theory, trees, network models, and Boolean algebras. Satisfies Core Curriculum in Area D-2 or D-3. Offered every fall. MAT 261. Differential Equations. (3) Prerequisite: A grade of “C” or better in MAT 225 or departmental approval. MAT 213 is recommended. Methods for the solution of differential equations of the first and higher order, Laplace Transforms, systems of differential equations, selected topics. Offered every spring beginning spring 2015. MAT 334. Linear Algebra. (3) Prerequisite: A grade of “C” or better in MAT 225 or departmental approval. Matrix algebra, Gauss-Jordan elimination, vector spaces, linear independence, determinants, orthogonality, linear transformations and their matrix representation, eigenvalues and eigenvectors, and applications. Required for state teacher certification in Mathematics. Offered every spring. MAT 335. Modern Geometry. (3) Prerequisite: A grade of “C” or better in MAT 225. A study of modern geometry including history, current axiom systems, and alternate developments of geometry using coordinates, vectors, and groups. Required for state teacher certification in Mathematics. Offered spring even numbered years. MAT 336. Methods of Teaching Secondary Mathematics. (3) Prerequisite: MAT 150 or higher. Completion of EDU 300 or higher This course is designed to give teacher candidates practical training in the teaching of mathematics on the secondary level (9-12). Teacher candidates will become familiar with Common Core State Standards for mathematics instruction. They will develop an understanding of instructional strategies, activities, and materials essential for effective teaching of mathematics in secondary schools. Twenty-four hours of field experience will be required. Required for teacher certification in Mathematics. Open only to students in the Teacher Education Program. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered Fall Semester. MAT 338. Vector Analysis. (3) Prerequisite: MAT 225 with a grade of “C” or better and MAT 213. A study of the algebra of vectors and the calculus of vector-valued functions. Topics include vector identities, space curves, and the gradient, divergence, and curl of vector functions. Also considered are line and surface integrals including the Divergence Theorem, Green’s Theorem, and Stoke’s Theorem. Offered at departmental discretion. MAT 342. Partial Differential Equations. (3) Prerequisite: MAT 261. This is an introductory course that covers the classical parabolic, hyperbolic and elliptic partial differential equations. Separation of variables, eigenvalues and eigenfunctions, Fourier series, Green’s functions. Offered at departmental discretion. MAT 351. Probability. (3) Prerequisite: MAT 225 with a grade of “C” or better and MAT 213. This is a calculus based course. Basic probability, discrete and continuous random variables, discrete and continuous probability distributions, mathematical expectations, laws of large numbers, central limit theorems. Offered Fall semester, even numbered years. MAT 352. Statistics. (3) Prerequisite: MAT 351. This is a calculus based course. Sampling and estimation theory, tests of hypotheses and significance, curve fitting, regression and correlation, analysis of variance, nonparametric tests. Offered Spring, odd numbered years. MAT 371. Numerical Analysis. (3) Prerequisite: MAT 225 with A grade of “C” or better and CSC 155. Error analysis, solution of equations in one variable, interpolation and polynomial approximation, numerical differentiation and integration, direct method in solving linear systems, numerical solutions of nonlinear systems of equations, approximation theory, selected topics. Offered at departmental discretion. MAT 433. Abstract Algebra I. (3) Prerequisite: A grade of “C” or better in MAT 225 An introductory approach to the fundamentals of group, ring, and field theory. Topics to include: groups, subgroups, cyclic groups, permutation groups, cosets, homomorphism, isomorphism, the Sylow theorems, rings and fields. Offered fall semester.

MAT 434. Abstract Algebra II. (3) Prerequisite: MAT 433. Continuation of MAT 433. An in depth treatment of the topics covered in MAT433. Topics to include: groups, rings and fields as well as homomorphism and isomorphism, ring factorization, Lattices, vector spaces, and Galois theory. Offered at departmental discretion. MAT 443. Real Analysis I. (3) Prerequisite: MAT MAT 225 with a grade of “C” or better and MAT 213. An introductory approach to the real numbers and completeness, Inverse Function Theorem and its application, limits, sequences and series, uniform continuity, theory of differentiation and integration, sequences and series of functions, and Fourier series theory. Offered fall semester beginning fall 2016. MAT 444. Real Analysis II. (3) Prerequisite: MAT 443. Continuation of MAT 443. An in depth treatment of the topics in MAT443. Topics to include: improper integrals, general convergence of sequences of functions, complex numbers, and Fourier series. Offered at departmental discretion. MAT 445. Complex Analysis. (3) Prerequisite: A grade of “C” or better in MAT 225. A study of the algebra and calculus of complex numbers. Specific topics include analytic and elementary functions, mappings by elementary functions, the Cauchy integral formula, Taylor and Laurent Series, residues and poles. Offered at departmental discretion. MAT 451. Topology. (3) Prerequisite: MAT 443. Fundamentals of set theory, definition of topological spaces, product and subspace topology, quotient topology, connectedness and compactness, countability and separation axiom, Urysohn lemma, Tychonoff's theorem, complete metric spaces, space-filling curves, compactness in metric spaces, and modes of convergence. Offered at departmental discretion. MAT 455. Number Theory. (3) Prerequisite: A grade of “C” or better in MAT 225. Divisibility theory of integers, primes and their distribution, the theory of congruences, Fermat’s and Wilson’s theorems, number-theoretic functions, Euler’s theorem. Offered at departmental discretion. MAT 481. Junior Capstone Experience. (1) Prerequisite: Junior standing, open only to math majors. This course is designed to give students experience and to improve their skill in reading, writing, and understanding mathematics and introduction to undergraduate research. Offered beginning Spring 2016. MAT 482. Senior Capstone Experience. (1) Prerequisite: Senior standing, open only to math majors . Continuation of MAT481, special emphasis will be on the completion a research project defined in MAT481 and an exit interview. Offered beginning Fall 2016. MAT483. ACTUARIAL MATHEMATICS. (1) Prerequisite: MAT 351. This course will provide direction to students wishing to take the first few actuarial examinations. Required of math majors with Actuarial Science concentration. Offered at departmental discretion. MAT 490. Special Topics in Mathematics. (3) Prerequisite: Permission of instructor. Topics to be selected by the instructor. Students may receive credit for more than one MAT 490 course, but students may not repeat the topics. MAT 491. Independent Study. (1-3) Independent study in a selected field or problem area of mathematics. The topic or problem to be studied will be chosen in consultation with departmental faculty under whose guidance the study will be conducted. Subject to rules and regulations specified in the college catalog. MAT 495, 496. Internship. (1-3, 1-3) Internships or practical experience in an approved program of study. Limited to majors in the department. Subject to regulations and restrictions specified in the catalog. MAT 499. Senior Essay. (1-3) A project requiring scholarly research. Topics to be selected by the instructor. Students may receive credit for more than one MAT 499 course, but students may not repeat the topics. Subject to rules and regulations specified in the catalog.