Course Descriptions

**MTH 150 Calculus I (QR) (4.00 SH).** This course will focus on the fundamentals of differential calculus. Topics considered include functions, limits, continuous functions, differentiation and integration of functions with one real variable, applications of differentiation and the Fundamental Theorem of Calculus. Students will be introduced to some basic calculus proofs. This course is suggested for all students who expect to continue for any advanced degree including finance, law, and medicine. (Offered every semester.) Meets Quantitative Reasoning Intellectual Perspective requirement (QR).

**MTH 152 Calculus II (QR) (4.00 SH).** This course will focus on the fundamentals of integral calculus, including techniques and applications of integration. Other topics include infinite series and introductory topics from differential equations. Prerequisite: C- or better in MTH 150 or the permission of the instructor. (Offered every semester.) Meets Quantitative Reasoning Intellectual Perspective requirement (QR).

**MTH 241 Discrete Mathematics (4.00 SH).** An introduction to discrete mathematics. Topics covered include logic, sets, functions, relations, counting, mathematical induction, recurrence relations, and graphs. The topics are tied together through an emphasis on proof techniques and mathematical writing. Prerequisite: C- or better in MTH 150 or MTH 131. (Offered Fall semester.)

**MTH 250 Calculus III (QR) (4.00 SH).** An introduction to the calculus of several variables. Topics include the geometry of three-dimensional space, partial derivatives, multiple integrals, and vector calculus. Prerequisite: C- or better in MTH 152. (Offered Fall semester.) Meets Quantitative Reasoning Intellectual Perspective requirement (QR).

**MTH 253 Differential Equations (4.00 SH).** The study of differential equations and their applications in the natural sciences. Topics include linear differential equations, series solutions, Laplace transformations, systems of equations, an introduction to partial differential equations, boundary value problems and application of differential equations. Prerequisite: C- or better in MTH 250. (Offered on demand.)

**MTH 261 Linear Algebra (4.00 SH).** An introduction to matrix algebra and general vector spaces. Topics include systems of linear equations, matrix operations and properties, determinants, vector spaces and subspaces, linear transformations, linear independence and span, bases, coordinate systems, eigenvalues and eigenvectors, inner product spaces, and orthogonality. Prerequisite: C- or better in MTH 250. (Offered Spring semester.)

**MTH 302 Probability (2.00 SH).** An introduction to the mathematics of basic probability theory. Topics include general probability concepts, random variables, and discrete and continuous probability distributions. Prerequisite: C- or better in MTH 241 and in MTH 250. (Offered Spring semester, odd years.)

**MTH 310 History of Math (4.00 SH).** This elective course will investigate an area of mathematics outside of the core mathematics curriculum. A description of the topic will be distributed prior to registration. Prerequisite: C- or better in MTH 241. (Offered on demand.)

**MTH 311 Special Topics: Game Theory (4.00 SH).** This elective course will investigate an area of mathematics outside of the core mathematics curriculum. A description of the topic will be distributed prior to registration. Prerequisite: C- or better in MTH 241. (Offered on demand.)

**MTH 312 Topics: Fractals (4.00 SH).** This elective course will investigate an area of mathematics outside of the core mathematics curriculum. A description of the topic will be distributed prior to registration. Prerequisite: C- or better in MTH 241. (Offered on demand.)

**MTH 316 Cryptology (4.00 SH).** An introduction to cryptography and cryptanalysis. In the course, we will study the mathematics behind encryption and decryption. We will explore various techniques used to encrypt plaintext, to decipher intercepted ciphertext, and methods used to increase the security of encryption.

**MTH 321 Numerical Analysis (4.00 SH).** This course explores the development of methods to approximate the solutions to differential equations, zeros of functions, solutions to linear systems of equations, as well as analysis of errors involved in using these methods. Prerequisites: MTH 250 and CS 151. (Offered on demand.)

**MTH 331 College Geometry (2.00 SH).** An examination of the axiomatic foundations of non-Euclidean and Euclidean geometry. Prerequisites: C- or better in MTH 241 and in MTH 250. (Offered Spring semester, odd years.)

**MTH 335 Statistics (4.00 SH).** An introduction to statistics. Topics include exploratory data analysis, descriptive and inferential statistics. Both classical, and bootstrapping and randomization approaches to inferential analysis are taken. Prerequisites: C- or better in MTH 152 and in MTH 241. (Offered on demand.)

**MTH 341 Operations Research (4.00 SH).** An introduction to the major mathematical methods of operations research. Included are linear programs and methods of solutions, network flow models, markov chains and game theory. Prerequisites: C- or better in MTH 261. (Offered on demand.)

**MTH 361 Abstract Algebra (4.00 SH).** A study of algebraic structures and their properties with an emphasis on mathematical writing and the construction of proofs. Topics include groups, rings, fields, homomorphisms, cosets, and quotients. Prerequisites: C- or better in MTH 261 and in MTH 241. (Offered Fall semester.)

**MTH 431 Teach Math Secondary Schools (4.00 SH).** Educational theory, methodologies and instructional models pertaining to the teaching of mathematics on the secondary level, teaching strategies for specific mathematical concepts, recognition and awareness of necessary problem-solving and cognitive skills. The National Council of Teachers of Mathematics standards will be perused and discussed. Much of this will be embedded in the mathematics of geometry. This course is open only to those junior and senior mathematics majors who plan to student teach. Prerequisites: MTH 261 and SED 201 or by permission of instructor. (Offered Fall semester, odd years.)

**MTH 451 Real Analysis (4.00 SH).** A study of the analytic properties of real functions and sequences. Topics include set theory, the real number system, limits, continuous functions, differentiation, Riemann integration, sequences, and series. Prerequisite: MTH 361. (Offered spring semester.)

**MTH 481 Topology (4.00 SH).** An introductory course covering set theory, continuous mappings, homeomorphisms, connectedness, compactness, metric spaces, product spaces and quotient spaces. Co-requisite: MTH 361. (Offered on demand.)

**MTH 601 Capstone (4.00 SH).** This capstone course, designed for all mathematics majors, offers the opportunity for students to review and integrate their knowledge. The format of the course includes a major presentation. Prerequisite: MTH 361. (Offered Fall semester.)

**MTH 611 Topics:Lie Theory (4.00 SH).** This course will investigate a new topic in mathematics or provide a deeper study of an existing topic in the mathematics curriculum. A description of the topic will be distributed prior to registration. Minimum prerequisite: MTH 261. (Offered on demand.)

**MTH 614 Advanced Topics (4.00 SH).** This course will investigate a new topic in mathematics or provide a deeper study of an existing topic in the mathematics curriculum. A description of the topic will be distributed prior to registration. Minimum prerequisite: MTH 261. (Offered on demand.)

**BA 385 Financial Economics (4.00 SH).** The course presents the Black-Scholes theory of options, futures markets, the time value of money, the rate of return on investment, cash flow sequence, utility functions, expected utility maximization, mean-variance analysis, value at risk, optimal portfolios, and the capital asset pricing model. Prerequisites: ECO 150 and ECO 220 (or equivalent). (Also listed as ECO 385.)

**CS 151 Principles of Computer Sci I (QR) (4.00 SH).** A broad introduction to the discipline of computer science, with attention given to many components of the field. Topics include an examination of subfields of computer science, computer representation of data, an introduction to hardware structure, and fundamentals of programming languages. Special emphasis is given to techniques for problem solving and algorithm development, designing and implementing computer programs, and software analysis and verification methods. Prerequisite: prior programming experience recommended. (Offered Fall semester.)

**CS 152 Principles of Computer Science II (4.00 SH).** A continuation of the study of the discipline of computer science. This course includes an introduction to data structures, simulation, and scientific uses of computing. Programming for searching and sorting data is covered, as well as an introduction to recursion. Prerequisite: CS 151. (Offered Spring semester.)A continuation of CS 151 using application development as a vehicle to teach more advanced programming skills. Topics may include mobile application development (especially for Android and iOS), an introduction to data structures, recursion, object-oriented programming patterns, software testing, graphical user interfaces, elementary graphics and game development, network programming.

**CS 614 Topics: Theory of Computation (4.00 SH).** This special topics course focuses on relevant topics and techniques pertaining to current computer science or computer information systems. The course(s) will explore cutting-edge issues, technology and methods. A description of the topic will be distributed prior to registration. Prerequisites: CS 251 and major standing or consent of the instructor. (Offered on demand, Spring semester).

**ECO 601 Advanced Finance (Capstone) (4.00 SH).** The course will survey common methods of forecasting sales, share prices and other variables using techniques that include univariate and multivariate time series, regression and data mining. Prerequisites: BA 350 and ECO 220 (or equivalent).

**PHY 151 Principles Physics I (SD) (4.00 SH).** The first semester of an introductory study of physics (mechanics, heat, electricity, magnetism, waves, light and modern physics). Basic principles used in both semesters are introduced in the first semester. Some basic concepts of calculus may be introduced as needed. A laboratory is included. Co-requisite: MTH 150 or higher. Offered Fall Semester. Meets Scientific Discovery Intellectual Perspective requirement (SD).

**PHY 152 Principles Physics II (4.00 SH).** The second semester of an introductory study of physics (mechanics, heat, electricity, magnetism, waves, light and modern physics). Calculus methods will be used. A laboratory is included. Prerequisite: PHY 151; Co-requisite: MTH 152 or higher. Offered Spring Semester.

Imagine yourself an actuary, teacher, statistician, management scientist, professor, or graduate student.

**Degree Offered**

Bachelor of Science