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MATH 1403 College Algebra 3 Credits (3 hours lecture per week) Prerequisite: MATH 1203 Intermediate Algebra or required placement score. Topics include quadratic equations and inequalities, polynomial and rational functions, exponential and logarithmic functions, graphing functions, and systems of equations. A graphing calculator is required. Return to Course List, Mathematics Department Home, Syllabus
MATH 1403X College Algebra (Expanded Format) 3 Credits (5 hours lecture per week) Prerequisite: MATH 1203 Intermediate Algebra or required placement score. Covers the same topics of the traditional College Algebra but in an expanded time format allowing for increased guided learning activities and learner/instructor interaction. Topics include quadratic equations and inequalities, polynomial and rational functions, exponential and logarithmic functions, graphing functions, and systems of equations. A graphing calculator is required. Return to Course List, Mathematics Department Home, Syllabus
MATH 1406 Integrated Intermediate and College Algebra 6 Credits (6 hours lecture per week) Prerequisite: MATH 0233 Beginning Algebra or the same required placement score as Intermediate Algebra. Provides an alternative to taking separate courses in Intermediate Algebra (MATH 1203) and College Algebra (MATH 1403), consisting of all the topics included in both courses seamlessly integrated into one course. Major course topics include properties of formulas, tables, and graphs, basic algebraic properties and manipulations, solving equations and inequalities, mathematical modeling, and applications in the following areas: Relations and Functions, Linear Functions, Properties of Exponents, Radicals, Complex Numbers, and Power Functions, Transformations of Relations, Quadratic Functions, Exponential and Logarithmic Functions, Polynomial Functions, and Rational Functions. The course will transfer as Intermediate and College Algebra. Since Intermediate Algebra will not usually transfer for bachelor's level credit, this course will transfer as three hours of bachelor's level credit. A graphing calculator is required. Return to Course List, Mathematics Department Home, Syllabus
MATH 1453 Plane Trigonometry 3 Credits (3 hours lecture per week) Prerequisite: MATH 1403 College Algebra or required placement score. The theory of trigonometric functions and the study of their applications. Topics include trigonometric functions, circular functions, graphs of trigonometric functions, trigonometric identities, inverse trigonometric functions, trigonometric equations, triangles, vectors, complex numbers, and polar coordinates. Return to Course List, Mathematics Department Home, Syllabus
MATH 1715 Precalculus Mathematics 5 Credits (5 hours lecture per week) Prerequisite: MATH 1303 College Algebra or three units of high school mathematics (including two years of algebra) and required placement score. An accelerated course composed of topics from College Algebra and Trigonometry, designed for students in majors requiring MATH 2805 Calculus I. The course strongly emphasizes graphing and functions. Algebraic concepts covered include quadratic, polynomial, rational, exponential, and logarithmic functions, inverse functions, complex numbers, systems of equations, matrices, and determinants. The course also consists of the concepts of plane trigonometry including trigonometric functions and identities, inverse trigonometric functions, trigonometric equations, triangles, and vectors. A graphing calculator is required. This course satisfies prerequisites for MATH 2805. Since this substitutes for MATH 1403 and MATH 1453, it is not to be taken if the student has had either of those courses. Return to Course List, Mathematics Department Home, Syllabus
MATH 2403 Survey of Calculus 3 Credits (3 hours lecture per week) Prerequisite: MATH 1403 College Algebra or required placement scores. This course is designed for students in majors other than the natural sciences, especially business and economics. It introduces the basic concepts of differential and integral calculus and their applications to algebraic, exponential, and logarithmic functions that occur in economics and marketing situations. This course does not satisfy degree requirements for mathematics, science, or engineering majors, nor does it satisfy the prerequisite for MATH 2855 Calculus II. (Note: qualified students whose degree plans require MATH 2403 Survey of Calculus may opt to substitute the more advanced MATH 2804 Calculus I instead. Students do not receive credit for both Calculus I and Survey of Calculus.) Return to Course List, Mathematics Department Home, Syllabus
MATH 2503/PSYC 2503 Probability and Statistics 3 Credits (3 hours lecture per week) Prerequisite: MATH 1403 College Algebra or required placement scores. This is an introductory course in probability and statistics, including statistical terminology, descriptive data, probabilities, probability distributions, tests of hypotheses, linear regressions, and design of experiments. (Note: qualified students whose degree plans require MATH/PSYC 2503 Probability and Statistics may opt to substitute the more advanced MATH 3504 Statistics I instead. Students do not receive credit for both Statistics I and Probability and Statistics.) Return to Course List, Mathematics Department Home, Syllabus
MATH 2753 Finite Mathematics 3 Credits (3 hours lecture per week) Prerequisite: MATH 1403 College Algebra or required placement scores. This course, intended primarily for students majoring in business and economics, deals with the mathematics of finance and includes systems of linear equations and inequalities, optimization problems using simplex methods, matrices, mathematics of finance, probability, and introduction to elementary statistics and the normal curve. Return to Course List, Mathematics Department Home
MATH 2333 Structures of Arithmetic 3 Credits (3 hours lecture per week) Prerequisite: MATH 1203 Intermediate Algebra or required placement score. A sophomore-level course designed for prospective early and middle level teachers. Students study concepts associated with set theory, number theory, problem solving, probability, statistics, and computation involving integers, fractions, and decimals. Return to Course List, Mathematics Department Home, Syllabus
Note: Structures of Arithmetic and Informal Geometry are often offered during the same semester in 8-week format. MATH 2343 Informal Geometry 3 Credits (3 hours lecture per week) Prerequisite: MATH 1203 Intermediate Algebra or required placement scores. This is a sophomore-level course designed to give students a basic understanding of the geometric concepts needed for teaching geometry at the early and middle school levels. It includes concepts associated with congruence, area, volume, and topology using transformational geometry, coordinate geometry, and traditional Euclidean geometry. Return to Course List, Mathematics Department Home, Syllabus
MATH 2804 Calculus I 4 Credits (4 hours lecture per week) Prerequisites: MATH 1715 Precalculus Mathematics OR Placement. Topics include concepts, techniques, and applications of limits, continuity, derivatives, and integrals of algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions. (Note: qualified students whose degree plans require MATH 2403 Survey of Calculus may opt to substitute the more advanced MATH 2804 Calculus I instead. Students do not receive credit for both Calculus I and Survey of Calculus.) Return to Course List, Mathematics Department Home, Syllabus
MATH 2804H Calculus I Honors 4 Credits (4 hours lecture per week) Prerequisites: Admission to honors program and MATH 1715 Precalculus Mathematics OR Placement, or consent of instructor. Develops the standard topics of Calculus I from the perspective of the historical development of calculus and its reciprocating influence on society. Reading from original sources and extensive writing are required. Topics include concepts, techniques, and applications of limits, continuity, derivatives, and integrals of algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions. (Note: qualified students whose degree plans require MATH 2403 Survey of Calculus may opt to substitute the more advanced MATH 2804 Calculus I instead. Students do not receive credit for both Calculus I and Survey of Calculus.) Return to Course List, Mathematics Department Home, Syllabus
MATH 2854 Calculus II 4 Credits (4 hours lecture per week) Prerequisite: MATH 2805 Calculus I Topics include techniques of integration, sequences and series, conic sections, vectors and parametric equations in two and three dimensions, polar coordinates, and basic vector operations in two and three dimensions. Return to Course List, Mathematics Department Home, Syllabus
MATH 2904 Calculus III 4 Credits (4 hours lecture per week) Prerequisite: MATH 2854 Calculus II Topics include vector-valued functions, functions of several variables, partial derivatives, multiple integration, and line and surface integrals. Return to Course List, Mathematics Department Home, Syllabus
MATH 2914 Differential Equations 4 Credits (4 hours lecture per week) Prerequisite: MATH 2904 Calculus III This is the first course in differential equations. Topics include first order equations, first order and higher order linear equations, Laplace transforms, systems of linear equations, and eigenvectors. Applications problems are an integral part of the course. Return to Course List, Mathematics Department Home, Syllabus
MATH 2702 Mathematics Technology 2 Credits (1 hours lecture + 2 hours lab per week) Pre-or co-requisite: MATH 2854 Calculus II. Writing and executing mathematical calculator programs, using programming commands and structures on scientific graphing calculators. Introduction to calculator based mathematical technology and mathematical software packages including spreadsheets, typesetters, graphing programs, geometry software, computer algebra systems, and computer applets. Return to Course List, Mathematics Department Home, Syllabus
MATH 3205 Pure Mathematics 5 Credits (5 hours lecture per week) Prerequisite: MATH 2854 Calculus II Logic, sets, relations, functions, order relations, equivalence relations, factor sets, number, cardinality, groups, rings, fields, completeness, and continuity. Structured around the construction of the real numbers as the complete ordered field; however, key concepts will be examined in a variety of additional settings. Similarities across categories, such as structure preserving mappings and factor groups over kernels, will be emphasized. Return to Course List, Mathematics Department Home, Syllabus
MATH 3303 Discrete Mathematics 3 Credits (3 hours lecture per week) Prerequisite: MATH 3205 Pure Mathematics AND MATH 2702 Mathematics Technology Topics include a study of graph theory, trees, decision trees, critical path analysis, languages, Turing machines, combinatorics, efficiency of algorithms, logic, Boolean algebra, and social choice. Return to Course List, Mathematics Department Home, Syllabus
MATH 3403 College Geometry 3 Credits (3 hours lecture per week) Prerequisite: MATH 3205 Pure Mathematics. (Recommendation: Students less familiar with junior high/high school geometry should consider taking MATH 2430 Informal Geometry prior to this course.) Classification and properties of geometric figures, Euclidean plan geometry as an axiomatic system, geometric proof, constructions, symmetry, geometric transformations, analytic geometry, measurement, three dimensional Euclidean geometry, finite geometries, problem solving, elementary non-Euclidean geometries. Return to Course List, Mathematics Department Home, Syllabus
MATH 3504 Statistics I 4 Credits (4 hours lecture per week) Prerequisite: MATH 2854 Calculus II. Probability spaces, properties of the standard probability distributions, and random variables. Topics from descriptive and inferential statistics include applications of collection and analysis of data, confidence intervals, point and interval estimation, and hypothesis testing. Students will use computer spreadsheets and graphing calculators. (Note: qualified students whose degree plans require MATH/PSYC 2503 Probability and Statistics may opt to substitute the more advanced MATH 3504 Statistics I instead. Students do not receive credit for both Statistics I and Probability and Statistics.) Return to Course List, Mathematics Department Home, Syllabus
MATH 3603 Mathematical Modeling I 3 Credits (3 hours lecture per week) Prerequisite: MATH 2914 Differential Equations This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with single or multi-variable calculus, differential equations, or lower-level mathematics. Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, physical sciences, biological sciences, medicine, and social sciences. Students will integrate computer technology in generating reports on their projects. Return to Course List, Mathematics Department Home, Syllabus
MATH 3803 Mathematics Pedagogy for Numerical Systems 3 Credits (3 hours lecture per week & 1hour lab per week ) Pre-requisite: MATH 2333 Structures of Arithmetic OR Pre- or Co-requisite: MATH 3205 Pure Mathematics The course is designed for pre-service or in-service secondary mathematics teachers. The course will cover selected mathematics topics, technological resources, and methods of teaching relevant to the secondary mathematics curriculum with an emphasis on engaging students in concepts ranging from middle level to Algebra 1. Candidates will also engage in mathematics education research and study literacy-related strategies as it relates to the mathematical content. The course requires classroom tutoring of secondary school students in a local area public school for a minimum of fifteen hours. Return to Course List, Mathematics Department Home, Syllabus
MATH 3813 Mathematics Pedagogy for Spatial Relations 3 Credits (3 hours lecture per week & 1hour lab per week ) Prerequisite: MATH 2854 Calculus II The course is designed for pre-service or in-service secondary mathematics teachers. The course will cover selected mathematics topics, technological resources, and methods of teaching relevant to the secondary mathematics curriculum with an emphasis on engaging students in concepts ranging from basic spatial relations to rigorous proof in secondary Geometry. Candidates will also engage in mathematics education research and study literacy-related strategies as it relates to the mathematical content. The course requires classroom tutoring of secondary school students in a local area public school for a minimum of fifteen hours. Return to Course List, Mathematics Department Home, Syllabus
MATH 3823 Mathematics Pedagogy for Upper Secondary Mathematics 3 Credits (3 hours lecture per week & 1hour lab per week ) Prerequisite: MATH 2854 Calculus II The course is designed for pre-service or in-service secondary mathematics teachers. The course will cover selected mathematics topics, technological resources, and methods of teaching relevant to the secondary mathematics curriculum with an emphasis on engaging students in concepts ranging from advanced algebra to calculus. Candidates will also engage in mathematics education research and study literacy-related strategies as it relates to the mathematical content. The course requires classroom tutoring of secondary school students in a local area public school for a minimum of fifteen hours. Return to Course List, Mathematics Department Home, Syllabus
MATH 3901 Mathematics Seminar 1 Credit (1 hours lecture per week) Pre-requisite: Instructor Approval Students will consider problems that cut across the boundaries of the standard courses and investigate general strategies of problem solving from several different branches of mathematics. Through active participation, students will discover new techniques for solving problems. In particular, students will learn strategies for approaching problems and identifying needed mathematical tools. The course will be graded pass/fail. Return to Course List, Mathematics Department Home, Syllabus
MATH 4103 Linear Algebra 3 Credits (3 hours lecture per week) Prerequisite: MATH 3205 Pure Mathematics General vector spaces, linear transformations, inner products, matrices and matrix algebra, eigenvalues, eigenvectors, bilinear forms, orthogonal and unitary transformations, systems of linear equations, and determinants. Return to Course List, Mathematics Department Home, Syllabus
MATH 4203 & HIST 4203 History of Mathematics 3 Credits (3 hours lecture per week) Prerequisite: MATH 2854 Calculus II. The history of mathematics from ancient times to the twentieth century with emphasis on three aspects: the development of mathematics throughout the centuries, mathematics as a human endeavor, and the history of mathematics as an educational tool. Return to Course List, Mathematics Department Home, Syllabus
MATH 4303 Real Analysis I 3 Credits (3 hours lecture per week) Prerequisite: MATH 3205 Pure Mathematics An introduction to the theory of calculus of one and several variables, limits, continuity, sequences, differentiation, integration, measure theory, and infinite series. Includes a brief introduction to metric spaces and general topological spaces. Return to Course List, Mathematics Department Home, Syllabus
MATH 4403 Abstract Algebra 3 Credits (3 hours lecture per week) Prerequisite: MATH 3205 Pure Mathematics A study of groups, rings, modules, and fields, subgroups, normal subgroups, quotient groups, abelian groups, groups of permutations, solvable and nilpotent groups, homomorphism, kernel, homomorphism groups, principal ideal domains, field extensions, and Galois theory. Return to Course List, Mathematics Department Home, Syllabus MATH 4303 Real Analysis II 3 Credits (3 hours lecture per week) Prerequisite: MATH 4303 Real Analysis I The study of real analysis in dimensions greater than one. Topics in this course include continuously differentiable functions, the chain rule, inverse and implicit function theorems, Riemann integration and the change of variables theorem. Return to Course List, Mathematics Department Home, Syllabus
MATH 4433 Group Theory 3 Credits(3 hours lecture per week) Prerequisite: MATH 4403 Abstract Algebra Symmetric, alternating, and dihedral groups, direct sums and direct products, generators and relations, group actions, semi-direct products, the Sylow theorems, Sylow subgroups, nilpotent groups, solvable groups, homomorphism groups, fundamental theorem of finite abelian groups, automorphism groups, general linear groups, matrix representations of groups, and applications of group theory. Return to Course List, Mathematics Department Home, Syllabus
MATH 4503 Statistics II 3 Credits (3 hours lecture per week) Prerequisite: MATH 3504 Statistics I Examines application of statistics to continuous quality improvement, including an introduction to the six sigma process, regression analysis, design of experiments, and topics selected from non-parametric methods, time series, and other relevant statistical methods. Within each of these areas theory will be blended with applications to a variety of fields. Utilizes a computer statistical package. Return to Course List, Mathematics Department Home, Syllabus
MATH 4703 Numerical Analysis 3 Credits (3 hours lecture per week) Prerequisite: MATH 4103 Linear Algebra and one of MATH 2702 Mathematics Technology or ITC 1323 Introductory Programming, or ITC 1373 Introduction to Programming for Engineers. Development, analysis, computer implementation and application of basic numerical algorithms for solving scientific problems. Topics include fundamentals of numerical computation, error analysis, numerical solutions of nonlinear equations, direct and iterative methods for solving linear systems, interpolation and approximation of functions, numerical differentiation and integration, and numerical solution of ordinary differential equations. Computer programming as well as the use of software packages is required. Return to Course List, Mathematics Department Home, Syllabus
MATH 4803 Complex Analysis 3 Credits (3 hours lecture per week) Prerequisite: MATH 4303 Real Analysis I An introduction to complex analysis. Topics will include the arithmetic, algebra, and geometry of the complex number system and the complex plane, elementary functions of a complex variable, limits, the derivative, the integral, Cauchy's Theorem, Cauchy's Integral Formula, the Maximum Modulus Theorem, and series representations for functions. Return to Course List, Mathematics Department Home, Syllabus
MATH 4853 Introduction to Topology 3 Credits (3 hours lecture per week) Prerequisite: MATH 4303 Real Analysis I An introductory study of both point-set and algebraic topology. Point-set concepts covered include open, closed, finite, countable, and uncountable sets, order, product, subspace, metric, and quotient topologies, continuous functions, open and closed maps, homeomorphisms, connectedness, and compactness. Algebraic concepts include homotopy, homomorphism, chain maps, fundamental groups, homotopy groups, covering spaces, and homology. Return to Course List, Mathematics Department Home, Syllabus
MATH 4913 Partial Differential Equations 3 Credits (3 hours lecture per week) Prerequisite: MATH 2914 Differential Equations A first course in partial differential equations with emphasis on modeling problems with physical applications. Topics include first and second order equations, the method characteristics, separation of variables, D'Alembert's solution, the heat, wave, and Laplace equations, Fourier series, and Sturm-Liouville problems. Return to Course List, Mathematics Department Home, Syllabus
MATH 495V Mathematics Independent Study Variable Credit Prerequsite: Permission of the Mathematics Department Undergraduate Research Committee Student will work independently on an open question in pure or applied mathematics. The project may involve the discovery of new abstract results or the application of existing mathematics in a new way. Return to Course List, Mathematics Department Home, Syllabus
MATH 4992 Senior Project 2 Credits (8 hours individual study per week) Prerequisite: MATH 3603 Mathematical Modeling I and 18 additional hours of 3000-4000 level mathematics. The student will work with a faculty advisor on a research project in mathematics. Based on the interests of the student and the available expertise of the faculty, the project may involve research in pure mathematics, mathematics education, the history of mathematics, or an application of mathematics to another discipline. Return to Course List, Mathematics Department Home, Syllabus
MATH 4933 Special Topics in Mathematics and Statistics 3 Credits (3 hours lecture per week & 1hour lab per week ) Prerequisite: Consent of Instructor Specific subject areas or current topics of interest in pure or applied mathematics, mathematics education, history of mathematics, or statistics. Topics are designed to meet the interest of students, to take advantage of the areas of expertise of the department faculty or a visiting professor, or to investigate a current problem or latest development in a mathematical application. As such, the content will vary depending on the instructor, interest of students and the current state-of-the-art. This course may be repeated for credit for a total of 9 hours with varying topics. Return to Course List, Mathematics Department Home, Syllabus
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