MATH 100 GE: Numbers Sets and Structures (3:3:0)
This course presents mathematics as a deductive science which starts with empirical observations but goes beyond the level of simple, unrelated facts. Search for patterns and, when discovered, justification of them is the essence of this course. Similarities and differences between structures of numbers, sets, and some algebraic objects are discussed. Does not apply toward the Mathematics major. Prerequisite: MATH 090 or 3 units of high school mathematics including Algebra 1 and Geometry.
Syllabus MATH 100

MATH 101 GE: Excursions in Mathematics (3:3:0)
This introductory course deals with selected topics in contemporary mathematics applied to the social and natural sciences. Topics include voting and weighted systems, fair division, apportionment, game theory, Euler circuits, the Traveling Salesman Problem, minimum networks, scheduling, linear programming, types of growth, measurement, symmetry and patterns, collecting and describing data, elementary probability and inference. Does not apply to the Mathematics Major. Prerequisite: MATH 090 or three units of high school mathematics including Algebra I.
Syllabus MATH 101

MATH 105 Mathematical Problem Solving for Elementary Education Majors (3:3:0)
This course is designed to give elementary education majors experiences in being independent solvers of mathematical problems while giving them the mathematical foundation for early mathematics. Concepts in elementary education including sets, whole, integer, rational, real, and complex numbers are covered. Prerequisite: MATH 090 or three units of high school mathematics including Algebra I.
Syllabus MATH 105

MATH 110 GE: General Statistics (3:3:0)
This course deals with the collection and presentation of data, frequency distributions, measures of central tendency and dispersion, elementary probability, randomness, expectations, significance testing on large and small samples, correlation, regression, introduction to analysis of variance, and other common statistical methods. Does not apply toward Mathematics major. Prerequisite: MATH 090 or three units of high school mathematics including Algebra 1.
Syllabus MATH 110

MATH 130 GE: Applied Algebraic Methods (3:3:0)
This course introduces students to mathematical modeling using linear, exponential, and power functions and systems of equations. Algebraic and geometric techniques are developed. Applications to the life, social, and management sciences include linear programming and difference equations. Does not apply toward the Mathematics major. Prerequisite: MATH 090 or three years of college preparatory high school mathematics including Algebra I and Geometry.
Syllabus MATH 130

MATH 131 GE: Applied Calculus (3:3:0)
A one-semester introduction to the techniques of differential and integral calculus, this course will concentrate on the application of these techniques in the life and social sciences. Does not apply toward the mathematics major. Prerequisite: MATH 130 with a grade of C or higher.
Syllabus MATH 131

MATH 135 GE: Pre-Calculus (3:3:0)
This course is designed to prepare students for calculus. Topics include equations, inequalities, functions and their graphs, polynomial, rational, exponential, logarithmic, and trigonometric functions. Prerequisites: College preparatory mathematics including Algebra 2 and Geometry and an appropriate score on the mathematics placement test.
Syllabus MATH 135

MATH 140 GE: Calculus 1 (4:4:0)
Together with Calculus 2 and Multivariate Calculus, the basic concepts and applications of elementary analysis are covered. Calculus 1 topics include functions, continuity, the derivative and its applications, and an introduction to the definite integral. Prerequisites: MATH 135 with a grade of C or better, or four units of college preparatory mathematics including Algebra 2, Geometry, and Trigonometry and a satisfactory score on the Calculus Readiness Test.
Syllabus MATH 140

MATH 141 GE: Calculus 2 (4:4:0)
The concept of the integral is developed in detail. Techniques of integration, applications of the integral, and an introduction to differential equations are covered. Also, infinite series of numbers and functions are used to illustrate approximation theory. Prerequisite: MATH 140 with a grade of C or higher.
Syllabus MATH 141

MATH 150 GE: Mathematics and Western Civilization (3:3:0)
This course examines mathematics as a cultural force in Western civilization. Some of the relationships of mathematics to philosophy, economics, politics, art, and the natural sciences will be considered. Emphasis will be placed on how mathematical solutions were obtained for human problems.
Syllabus MATH 150

MATH 205 Geometry for Elementary Education Majors (3:3:0)
This course is designed to give Elementary Education majors experience in being independent solvers of mathematical problems while giving them the mathematical foundation for early mathematics. Topics include probability, geometry, and geometric systems. Prerequisite: MATH 105; Early Childhood or Elementary Education major.
Syllabus MATH 205

MATH 220 Discrete Mathematical Structures (3:3:0)
This course introduces some basic concepts of finite algebraic structures. Topics covered include logic, sets, induction, matrices, order relations, Boolean algebras, semigroups, and groups. Prerequisite: MATH 140.
Syllabus MATH 220

MATH 240 Multivariate Calculus (4:4:0)
This course develops calculus of several variables. Topics covered include vectors, functions of many variables and their derivatives and integrals, optimization, parametric curves and surfaces, and applications. Prerequisite: MATH 141 with a grade of C or higher.
Syllabus MATH 240

MATH 280 Mathematics of Finance (3:3:0)
This course consists of an introduction to the theory and mathematics of simple and compound interest with application to and emphasis on annuities, sinking funds, amortization, life insurance, stocks, bonds, and installment buying. Prerequisite: MATH 130.
Syllabus MATH 280

MATH 290 Special Topics (Semester hours arranged)
These courses are designed to meet specific needs of groups of students or are offered on a trial basis in order to determine the demand for and value of introducing them as a part of the curriculum.
Syllabus MATH 290

MATH 311 Statistics I (3:3:0)
This course gives a rigorous introduction to descriptive statistics, discrete and continuous probability distributions, sampling estimation, and hypothesis testing. Prerequisite: MATH 141.
Syllabus MATH 311

MATH 320 Linear Algebra (3:3:0)
This course deals with the arithmetic of matrices, linear transformation of the plane, algebra of determinants with applications to the systems of linear equations, vector spaces, characteristic values and their application. Prerequisite: MATH 220.
Syllabus MATH 320

MATH 325 Introduction to Mathematical Modeling (3:3:0)
This course initiates the construction, analysis and research of real world mathematical models in order to promote creativity and emphasize ingenuity for finding reasonable solutions to open-ended problems, including experimentation and simulation. The study of theoretical model types is left for more advanced courses. Prerequisites: MATH 140, 141, 320; CPSC 111.
Syllabus MATH 325

MATH 341 Differential Equations (3:3:0)
This course examines solutions of first order differential equations, linear equations of higher order, numerical techniques of solution, power series methods, LaPlace transform, and applications. Prerequisite: MATH 240 or permission of instructor.
Syllabus MATH 341

MATH 351 Modern Geometry (3:3:0)
Problem solving in geometry will be the main focus of this course. Three types of problems are studied. The first will be straightedge and compass constructions from Euclidean Geometry. The next will develop the Newton-Poincare model of Lobachevskian Geometry. The third will be isometries of the Euclidean plane. Prerequisite: MATH 220.
Syllabus MATH 351

MATH 360 Introduction to Combinatorics (3:3:0)
This course introduces the basic techniques and modes of reasoning of combinatorial problem solving. Topics covered include elementary counting principles, permutations and combinations, the inclusion/exclusion principle, recurrence relations, basic properties of graphs and digraphs, trees, graph coloring, and Eulerian and Hamiltonian circuits. Prerequisite: MATH 220.
Syllabus MATH 360

MATH 411 Statistics II (3:3:0)
The mathematical properties of the sampling distributions of statistics will be investigated to develop criteria for precise estimation, powerful hypothesis testing, and assessing the robustness of model assumptions. Emphasis will be placed on the classical methods associated with the normal distribution and to the analysis of real data with linear models. Standard software packages will be used. Prerequisite: Math 311.
Syllabus MATH 411

MATH 416 Linear Statistical Modeling Methods with SAS (3:3:0)
This course is intended for advanced undergraduate students, graduate students, and working professionals who engage in applied research. Statistical linear modeling methods are used in conjunction with SAS computer software to analyze data from experiments and observational studies. Topics include regression analysis, analysis of variance, multiple comparisons and multiple tests, mixed models, analysis of covariance, logistic regression, and generalized linear models. Prerequisites: Satisfactory completion of a college course in statistics.
Syllabus MATH 416

MATH 420 Number Theory (3:3:0)
This course deals with the study of the divisibility properties of integers, the theory of congruences, continued fractions, linear diophantine equation in one variable and more than one variable, algebraic number fields, and rings of algebraic integers. Prerequisite: 12 hours of college mathematics.
Syllabus MATH 420

MATH 421 Abstract Algebra I (3:3:0)
This course will introduce the students to the basic algebraic structures, including groups, rings, and fields. Prerequisites: MATH 220, 240.
Syllabus MATH 421

MATH 422 Abstract Algebra II (3:3:0)
A continuation of MATH 421, this course will cover the structure of abelian groups, the Sylow Theorem, polynomial rings and unique factorization, algebraic extension fields, finite fields, and Galois Theory. Prerequisite: MATH 421.
Syllabus MATH 422

MATH 425 Introduction to Mathematical Modeling (3:3:0)
This course initiates the construction, analysis and research of real world mathematical models in order to promote creativity and emphasize ingenuity for finding reasonable solutions to openended problems, including experimentation and simulation. The study of theoretical model types is left for more advanced courses. Prerequisites: MATH 240, 320.
Syllabus MATH 425

MATH 430 History of Mathematics (3:3:0)
This course studies the biographies of leading mathematicians and their contributions to mathematics, the historical development of subject-matter fields of mathematics, and the role that mathematics has played in the development of civilization. Prerequisite: MATH 220, 240.
Syllabus MATH 430

MATH 431 Teaching Mathematics Using Technology (3:3:0)
This course is designed for pre-service and in-service teachers of secondary mathematics. It is a capstone course in both mathematics and the technology used in the mathematics classroom. Students will use various calculators and computer programs to solve significant problems and prepare lessons in calculus, statistics and geometry. This course may not be used as an elective for the B.A. in Mathematics or the B.S. in Applied Mathematics. Prerequisites: 24 credits of mathematics (140 or higher) or graduate standing in Mathematics Education.
Syllabus MATH 431

MATH 440 Real Analysis I (3:3:0)
This course introduces students to the basic analytical structures of the real number and functions, including limits, sequences, series, topology, and continuity. Prerequisites: MATH 220, 240.
Syllabus MATH 440

MATH 441 Real Analysis II (3:3:0)
A continuation of MATH 440, this course will cover differentiation, integration, sequences and series of functions and additional topics such as Fourier series, metric spaces, and approximation. Prerequisite: MATH 440.
Syllabus MATH 441

MATH 470 Numerical Methods I (3:3:0)
This course will develop the numerical algorithms and error estimates for finding roots, solving equations, and curve fitting. The emphasis is on algorithms with good error characteristics and reduction of round off error. Prerequisites: MATH 240, 320; CPSC 111 or 211.
Syllabus MATH 470

MATH 480 Operations Research (3:3:0)
This course gives an introduction to both deterministic and stochastic operations research. The covered topics will include the nature of operations research, linear programming, project scheduling, dynamic programming, integer programming, queuing theory and stochastic simulation. Prerequisites: MATH 311 and 320 with grades of C or higher.
Syllabus MATH 480

MATH 485 Independent Study (Semester hours arranged)
This experience is taken upon the initiative of a student who seeks to study with a knowledgeable faculty member in order to deepen a specific interest in a particular academic discipline.

MATH 486 Applied Mathematics Internship (Semester hours arranged)
This course consists of in-depth involvement in an environment that focuses on the use of mathematics to model and solve industrial, administrative, business or governmental problems. The student will work under direct professional supervision. Prerequisites: MATH 220, 240, 311, and 320.

MATH 499 Student Teaching Internship (1:0:TBA)
This course is designed to provide the student with an opportunity to work with a faculty member in the student's primary Arts and Sciences discipline during the student teaching experience. The course will enhance the student's ability to understand and maximize the relationship between disciplinary subject matter and pedagogy.