Mathematics |

**MATH 0001 Algebra 1 **

This is a beginning algebra through intermediate algebra course. This course is intended to develop student proficiency and confidence in the basic algebraic skills. Topics include integer and rational exponents, simplification of algebraic expressions, linear and quadratic equations, linear inequalities, factoring, and simplification of rational and radical expressions. This course prepares students for College Algebra as well as satisfies the genre al education basic algebra requirement. *3 credits*

**MATH 0002 College Algebra (QR) **

This course is intended for students who have a good background in elementary and intermediate algebra. Topics include a review of the topics in MATH 0001; the Cartesian plane and graphing; systems of equations; and linear, quadratic, exponential, and logarithmic functions. This course can be used to prepare for MATH 0004 Precalculus and MATH 0121 Business Calculus, as well as to satisfy the general education mathematics quantitative requirement. The prerequisite may also be met by placement. Prerequisite: MATH 0001 or 0031. *3 credits*

**MATH 0004 Precalculus: Functions and Trigonometry **

This course provides the necessary background for MATH 0221 Analytic Geometry and Calculus 1. Topics include an extension of the topics in MATH 0002, polynomial and rational functions and their behavior, analytic and calculator graphing, and trigonometry. The prerequisite may also be met by placement. Prerequisite: MATH 0002. *4 credits*

**MATH 0071 Structure of the Real Number System (QR) **

This course begins with the counting numbers and gradually builds the real number system. The structure of the real number system is explored through problem solving with a focus on number operations and properties, as well as set theory and number theory. The prerequisite can be met by placement. Prerequisite: MATH 0001 or 0031. *4 credits*

**MATH 0080 Fundamentals of Modern Math (QR) **

This course is designed primarily for students whose interests lie outside the natural sciences. It emphasizes problem-solving approaches common to many mathematical areas. Topics include geometry, measurement, probability, and statistics. The prerequisite can be met by placement. Prerequisite: MATH 0001 or 0031. *3 credits*

**MATH 0121 Business Calculus **

This course is designed for students in business, economics, and other social sciences. It introduces the basic concepts of limits, continuity, differentiation, integration, and optimization. Applications to the social sciences, especially business and economics, are emphasized. The prerequisite can be met by placement. Prerequisite: MATH 0002. *4 credits*

**MATH 0212 Introduction to Biostatistics **

In this course the beginning biology student learns the concepts of probability and statistical inference from a non-calculus point of view. Applications are emphasized. Topics include probability distributions, sampling distributions, confidence intervals, hypothesis testing, and analysis of variance. Further topics such as correlation and regressions analysis may be covered if time permits. Prerequisite: MATH 0004. *3 credits*

**MATH 0221 Analytic Geometry and Calculus I **

This is the first of a sequence of three basic calculus courses intended for mathematics, engineering technology, computer science, and natural sciences majors. Topics include the derivative and integral of functions of one variable and their applications. Trigonometric functions are included. Prerequisite may be met by placement. Prerequisite: MATH 0004. *4 credits*

**MATH 0231 Analytic Geometry and Calculus II **

This is the second of a sequence of three basic calculus courses intended for mathematics, engineering technology, computer science, and natural sciences majors. Topics include the calculus of transcendental functions and techniques of integration, sequences, and series. Prerequisite: MATH 0221 or 0220. *4 credits*

**MATH 0241 Analytic Geometry and Calculus III **

This is the third of a sequence of three basic calculus courses intended for engineering, mathematics, statistics, and science students. It covers vectors and surfaces in space and the calculus of functions of several variables including partial derivatives and multiple integrals; also conic sections, parametric curves and polar coordinates. If time, Green’s and Stoke’s theorems may be covered. Prerequisites: MATH 0231 or 0230. *4 credits*

**MATH 0401 Discrete Mathematical Structures **

This course is intended for students contemplating a major in mathematics or computer science. Topics include the basic concepts of set theory, logic, combinatorics, Boolean algebra, and graph theory with an emphasis on applications. The prerequisite can be met by placement. Prerequisite: MATH 0001 or 0031. *3 credits*

**MATH 1012 Introduction to Theoretical Mathematics **

This course is an introduction to the theoretical treatment of logic, sets, functions, relations, partitions, compositions, and inverses. Class work and homework will concentrate on the writing and understanding of proofs of theorems. Prerequisites: (MATH 0221 or 0220) and 401. *3 credits*

**MATH 1019 Technical Speaking in Mathematics **

The course is designed to teach oral presentation theories and techniques specific to situations involving mathematics. Content includes audience analysis, organization, delivery, presenting mathematical material to non-expert and technical audiences, and the use of visuals. Computer software to give oral presentations will be used in some of the speeches. Students will be required not only to give excellent presentations but also to analyze their own and other presentations based on the theories learned in this course. Prerequisite: MATH 1012. **3 credits**

**MATH 1035 Differential Equations with Matrix Theory **

This course is intended for engineering technology students. Topics include matrix methods, first- and higher-order ordinary differential equations, Laplace transformations, series solutions of differential equations, and systems of differential equations. Credit may be received for only one: MATH 1271 or MATH 1035. Prerequisite: MATH 0241. *4 credits*

**MATH 1051 Combinatorial Mathematics **

Possible topics covered may include the Binomial Theorem, inclusion-exclusion principle, recurrence relations, generating functions, paths, circuits, trees, planar graphs, coloring problems, matching theory, and network flows. The instructor's discretion determines the topics included in this course. Prerequisite: MATH 0401 and MATH 1012. *3 credits*

**MATH 1071 Numerical Mathematics Analysis **

This course is an introduction to numerical analysis at the advanced undergraduate level. Topics include interpolation, numerical differentiation and integration, solution of nonlinear equations, numerical solution of ordinary differential equations, and additional topics as time permits. Emphasis is on understanding the algorithms rather than on detailed coding, although some programming may be required. As a prerequisite, at least one mathematics course such as 1181, 1271, 1012, or permission of instructor is needed Prerequisites: (MATH 0241, or MATH 0240) and (MATH 1012 or 1181 or 1271). *3 credits*

**MATH 1117 History of Mathematics **

This course traces the history of mathematics from primitive number concepts through the beginnings of calculus. It emphasizes a hands-on approach to significant mathematical discoveries while discussing the lives and contributions of great mathematicians within their cultural settings. Required for secondary education mathematics majors. Prerequisites: MATH 0231 or 0230 and MATH 1012. *3 credits*

**MATH 1125 Abstract Algebra **

This course is designed to provide depth and comprehension in the study of abstract algebra. Topics include groups, finite Abelian groups, symmetric groups, rings, integral domains, fields, homomorphisms, and isomorphisms. Prerequisite: MATH 1012. *3 credits*

**MATH 1153 Introduction to Probability Statistics I **

This course presents at both theoretical and applied levels the basic probability concepts required for statistical inference. Topics include set theory and basic probability; independence and Bayes Theorem; discrete random variables and their distributions (Bernoulli, binomial, Poisson, and geometric); continuous random variables and their distributions (uniform, exponential, gamma, beta, and normal); transformation of random variables, moments, and moment-generating functions; multivariate discrete, marginal, and conditional distributions; and independent variables. Prerequisite: MATH 0241 or 0240. *3 credits*

**MATH 1154 Introduction to Probability Statistics II **

This course introduces the elementary concepts of statistical inference. Topics include functions of random variables, sampling distributions, decision criteria, estimation, hypothesis testing, regression, and analysis of variance. Prerequisite: MATH 1153. *3 credits*

**MATH 1155 Introduction to Statistical Inference **

This course is intended for secondary education mathematics majors and includes topics that are not typically covered in MATH 1153 Introduction to Probability and Statistics 1. Topics include elementary functions of random variables, sampling, distributions, basic estimation theory, and hypothesis testing. This course cannot be taken if a student has received credit for or is enrolled in MATH 1154 Introduction to Probability and Statistics 2. Prerequisite: MATH 1153. *1 credit*

**MATH 1163 Mathematics Seminar I **

This course introduces students to a variety of mathematics specific technology. Topics include computational and algebraic manipulator software and mathematical typesetting programs at the instructor’s discretion. *1 credit*

**MATH 1164 Mathematics Seminar II **

Using exams previously given by the Society of Actuaries, this course examines material typically included in probability and statistics courses. Through careful investigation of these problems, students will gain familiarity with the examination and will develop problem-solving strategies. Prerequisite: MATH 1154. *1 credit*

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**MATH 1175 Topics in Applied Mathematics**

This course is designed to enhance the student's understanding of how mathematics may be applied in the real world. Possible topics include game theory, cryptography, partial differential equations, complex variables, stochastic processes, the calculus of variation, control theory, and the application of such topics to a particular discipline. . PREQ: (MATH 0241 or 0240) and 1012. *3 credits*

**MATH 1178 Operations Research **

This course is an introduction to the mathematical study of management decisions concerning business, government, and other organizations and operations. Topics may include linear programming, dynamic programming, inventory theory, queuing theory, network models, and nonlinear programming. Standard linear programming computer algorithms are used. Prerequisite: MATH 1181. *4 credits*

**MATH 1181 Linear Algebra **

This course is intended as an introduction to linear algebra. The course stresses the computational methods of linear algebra and covers the theoretical development of matrix algebra and vector spaces. Topics include systems of linear equations, matrices, matrix algebra, determinants, vector spaces, linear dependence and independence, spanning sets of vectors, bases, orthogonality, inner product spaces, Gram-Schmidt process, Eigenvalues, Eigenvectors, characteristic equations, and diagonalization. Other topics will be covered as time permits. Course is suitable for mathematics majors, joint mathematics/ statistics majors, and others interested in a theoretical treatment. Prerequisite: MATH 0241 or 0240. *3 credits*

**MATH 1271 Ordinary Differential Equations **

This course covers methods of solving ordinary differential equations that are frequently encountered in applications. General methods will be taught for single nth order equations and systems of first-order nonlinear equations. These will include phase plane methods and stability analysis. Computer experimentation will be used to illustrate the behavior of solutions of various equations. Credit may be received for only one: MATH 1271 or MATH 1035 . Prerequisite: MATH 0241. *3 credits*

**MATH 1291 Topics in Geometry **

This course is intended to give a modern view of geometry. Possible approaches include the exploration of geometric properties on various surfaces; the axiomatic development of finite geometries; the deductive, synthetic development of Euclidean and non-Euclidean geometry; and the connection of geometries to abstract algebraic systems. Required for secondary education mathematics majors. Prerequisites: MATH 0241 or 0240 and MATH 1012.* 3 credits*

**MATH 1296 Topics in Applied Statistics **

This course contains topics concerning the applications of statistics. Topics will be chosen based on faculty interests and students’ needs. Examples of possible topics include resampling techniques in statistics, statistical graphics, cluster analysis, and classification methods. Prerequisite: MATH 1154. *3 credits*

**MATH 1531 Advanced Calculus **

This course contains a rigorous development of the calculus of functions of a single variable, including compactness on the real line, continuity, differentiability, integration, and the uniform convergence of sequences and series of functions. Other topics may be included, such as the notion of limits and continuity in metric spaces. Prerequisites: MATH 0241 or 0240, and MATH 1012. *3 credits*

**MATH 1561 Complex Variables and Applications **

This course covers the following topics: elementary operations with complex numbers, derivatives and integrals of complex-valued functions, Cauchy's Theorem, the integral formula, power series, residue theorem, and applications to real integrals and series. Prerequisites: MATH 0241 or 0240 , and MATH 1012. *3 credits*

**MATH 1701 Introduction to Topology **

This course may include some topics from point-set topology, such as topological spaces, metric spaces, connectedness, compactness, and countability axioms. The course may also include some topics from algebraic-combinatorial topology such as simplicial complexes, the fundamental group, Jordan Curve Theorem, Euler characteristic, classification theorem of compact surfaces, homology groups, homotopy groups, vector fields, and fixed points. Prerequisites: MATH 0241 or 0240, and MATH 1012. *3 credits*

**MATH 1901 Internship **

Under faculty supervision the student participates in a mathematics related experience, project, or job. *1-3 credits*

**MATH 1903 Directed Study **

Under the direction of a faculty member, a student studies a mutually agreed upon topic in mathematics. *1-3 credits*