Course Listing
MTH 101 - 1 - Introduction to the Graphing Calculator
Getting started, menus, syntax, order of operations, evaluating functions, solving equations, graphing, plotting data, finding best fit approximations, performing matrix operations, and solving linear systems.

MTH 104 - 1 - Spreadsheets for Mathematics
Spreadsheet skills useful in mathematics. Data entry, entering and applying formulas, charts/ graphs, sequences and series, elementary statistics, formatting output.

MTH 106 - 1 - Introduction to Computer Algebra Systems
A survey of computer algebra techniques including entering data, algebraic manipulations, solving equations, graphing, calculus applications, elementary programming, and statistics. (PR: MTH 229)

MTH 121 - 3 - Concepts and Applications of Mathematics
A course for non-science majors that develops quantitative reasoning skills. Topics include logical thinking, problem solving, linear modeling, beginning statistics and probability, exponential and logarithmic modeling, financial and geometry concepts. (PR: MAT 095 or MAT 097 or Math ACT 19 or above)

MTH 121B - 4 - Concepts and Applications of Mathematics with Algebra Review
Quantitative reasoning skills for non-science majors. Topics include logical thinking, problem solving, linear modeling, beginning statistics and probability, exponential and logarithmic modeling, formula use, with basic algebra review. (PR: Math ACT 18)

MTH 122 - 3 - Plane Trigonometry
A study of the trigonometric functions, graphs of the trigonometric functions, identities, equations, inverse trigonometric functions, vectors, complex numbers, and applications. (PR: PR: ACT 21 or SAT 500 or MTH 127 or MTH 130 concurrent)

MTH 125 - 3 - Finite Mathematics
Topics in elementary finite mathematics; sets, counting, probability and statistics, matrices and linear equations.

MTH 127 - 4 - College Algebra - Expanded Version
A brief but careful review of the main techniques of algebra. Polynomial, rational, exponential, and logarithmic functions. Graphs, systems of equations and inequalities, sequences. (PR: MAT 097 or Math ACT 19 or 20)

MTH 130 - 3 - College Algebra
Polynomial, rational, exponential, and logarithmic functions. Graphs, systems of equations and inequalities, sequences. (PR: Math ACT 21 or above)

MTH 132 - 5 - Precalculus with Science Applications
Polynomial, rational, exponential, logarithmic, and trigonometric functions. Graphs, vectors, systems of equations and inequalities, sequences. (PR: Math ACT 23 or above)

MTH 140 - 3 - Applied Calculus
A brief survey of calculus including both differentiation and integration with applications. Not to be substituted for MTH 229 or MTH 203. (PR: MTH 127 or equivalent or Math ACT 23 or above)

MTH 220 - 3 - Discrete Structures
Sets, relations, directed and undirected graphs, monoids, groups, lattices, Boolean algebra, and propositional logic. (PR: Math ACT 27 or Math SAT 620 or MTH 132 or IST 131 or MTH 229)

MTH 225 - 3 - Introductory Statistics
Basic probability, descriptive statistics, fundamental statistical inference procedures involving estimation and hypothesis testing for a variety of situations with wide applications. (PR: Math ACT 21 or MTH 121 or higher)

MTH 229 - 5 - Calculus with Analytic Geometry I
An introduction to analytic geometry. Limits, derivatives, and integrals of the elementary functions of one variable, including the transcendental functions. (PR: MTH ACT of 27 or above, or MTH 130 and 122, or MTH 127 and 122, or MTH 132)

MTH 230 - 4 - Calculus with Analytic Geometry II
Applications of the integral, techniques of integration, and infinite series. A study of conic sections, polar coordinates, and parametric equations. (PR: MTH 229 or IST 230)

MTH 231 - 4 - Calculus with Analytic Geometry III
Vectors, curves, and surfaces in space. Derivatives and integrals of functions of more than one variable. A study of the calculus of vector valued functions. (PR: MTH 230)

MTH 280-283 - 1-4 - Special Topics
Courses 280-283 are reserved for Special Topics. (PR: Permission of the chairman)

MTH 300 - 3 - Introduction to Higher Mathematics
A transition between elementary calculus and higher mathematics with emphasis on techniques of proof. (PR: MTH 230)

MTH 329 - 3 - Elementary Linear Algebra
Systems of linear equations, matrices and determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and applications. (PR: ACT 27 or SAT 610 or IST 131 or MTH 132 or MTH 229)

MTH 331 - 3 - Linear Algebra
Vector spaces, matrices and determinants, systems of linear equations, linear transformations, eigenvalues, eigenvectors, and applications. (PR or CR: MTH 300)

MTH 335 - 4 - Differential Equations
First and second-order ordinary differential equations. Applications include vibrations and electrical circuits. Laplace transform, approximate solutions, orthogonal functions, Fourier series; partial differential equations including heat, wave, and Laplace equations. (PR: MTH 231 and REC: MTH 331 or MTH 329)

MTH 345 - 3 - Applied Probability and Statistics
Statistical methods in scientific/engineering research, with emphasis on applications. Probability

MTH 400 - 3 - Structure of Algebra
Informal development of modern elementary algebra. Recommended for pre-service middle school teachers and for elementary and secondary in-service teachers. May not be used for either a 5-12 mathematics specialization or for any degree offered by the Mathematics Department. (PR: MTH 130 or equivalent )

MTH 401 - 3 - Structure of Modern Geometry
Informal development of geometry with an exploration of probability and statistics. Recommended for pre-service middle school teachers and for elementary and secondary in-service teachers. May not be used for either a 5-12 mathematics specialization or for a degree offered by the Mathematics Department. (PR: MTH 130 or equivalent)

MTH 404 - 3 - Mathematics Methods and Materials
Content and content-specific pedagogy for secondary mathematics education majors. (CR/PR: CI 470 / Admin. 5)

MTH 405 - 3 - History of Mathematics
A study of the history of mathematics from the time of the ancient Greeks to the end of the nineteenth century. (PR: MTH 300)

MTH 411 - 3 - Mathematical Modeling
Students work in teams to construct mathematical models of various real-world situations. Problems to be modeled are drawn from diverse areas of application and use a wide range of undergraduate mathematics. (PR: MTH 231)

MTH 415 - 3 - Partial Differential Equations
Elementary partial differential equations. Heat equation, Laplaces’s equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials. (PR: MTH 331 and MTH 335)

MTH 427 - 3 - Advanced Calculus I
A rigorous study of the real number system, continuity and differentiability of functions of a single variable, integration of functions of a single variable, infinite series. (PR: MTH 231 and MTH 300 and CR/PR: MTH 331)

MTH 428 - 3 - Advanced Calculus II
A rigorous development of algebra and topology of Euclidean spaces, differentiability and integrability of functions of several variables. (PR: MTH 427)

MTH 430 - 3 - Topology I
First course in topology. Basics of point-set topology: metric and topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics. (PR: MTH 300)

MTH 431 - 3 - Topology II
First course in algebraic topology. Homotopy, fundamental group, simplicial homology. (PR: MTH 430, MTH 450)

MTH 440 - 3 - Graph Theory and Combinatorics
The course is designed to introduce students in mathematical sciences to the theorems, techniques and applications of graph theory and combinatories. (PR/CR: MTH 300)

MTH 442 - 3 - Numerical Linear Algebra
Direct and iterative methods for numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error analysis and norms. Related topics and applications. (PR: MTH 331 and a programming language. REC: MTH 443)

MTH 443 - 3 - Numerical Analysis
Computer arithmetic, roots of equations, interpolation, linear systems, and numerical differentiation and integration. Analysis of errors in and convergence properties of algorithms. Computer implementation of methods. (PR: MTH 331 and a programming language)

MTH 445 - 3 - Probability and Statistics I
Probability spaces, conditional probability, and applications. Random variables, distributions, expectation, and moments. (PR: MTH 231)

MTH 446 - 3 - Probability and Statistics II
Statistical inference: estimation of parameters, tests of hypotheses. Regression, analysis of variance. (PR: MTH 445)

MTH 448 - 3 - Modern Geometries
Finite geometries, basic background material for the modern development of Euclidean Geometry, other geometries. (PR: MTH 300)

MTH 449 - 3 - Projective Geometry
Projective geometry using both synthetic and algebraic methods. (PR: MTH 300)

MTH 450 - 3 - Modern Algebra I
Structure of the abstract mathematical systems: fields, rings, groups, with illustrations and applications from number theory. (PR: MTH 300 and PR/CR: MTH 331)

MTH 452 - 3 - Modern Algebra II
Continuation of MTH 450. (PR: MTH 450)

MTH 460 - 3 - Complex Variables I
Complex numbers, analytic functions,properties of elementary functions, integrals, series, residues and poles, conformal mapping. (PR: MTH 231)

MTH 461 - 3 - Complex Variables II
Continuation of MTH 460. (PR: MTH 460)

MTH 480 - 1-4 - Special Topics in Mathematics
Courses 480-483 are courses on special topics not listed among the current offerings. (PR: Permission of the Chairman of the Department of Mathematics and permission of instructor)

MTH 485 - 1-4 - Independent Study
Courses 485-488 are Independent Study courses.

MTH 491 - 3 - Senior Seminar
Capstone experience in reading, doing, writing and speaking mathematics. Students will explore topics related to a theme chosen by the instructor. (PR: Permission)