Course Descriptions

**Mathematics Courses:**

MTH 110 Mathematical Perspectives (4 SH). An introduction to quantitative concepts and skills, which enable students to interpret and reason with quantitative information. While each section of the course fulfills the quantitative reasoning requirement, the topics covered may vary from section to section.

MTH 124 Mathematical Perspectives II (2 SH). This course continues the development of concepts and skills that will enable students to interpret and reason with quantitative information. Prerequisite: a C- or higher in MTH 110 or MTH 131 or MTH 135 or appropriate advanced placement credit.

MTH 130 Precalculus (4 SH). A precalculus course for those who need a better foundation in algebraic concepts, functions and graphing. Topics of study include algebra fundamentals, linear and quadratic equations, systems of equations, functions and their graphs. Open only to students who plan to enroll in MTH 131 or MTH 150. This course does not fulfill the all college quantitative reasoning requirement.

MTH 131 Applied Calculus (4 SH). A one-semesterstudy of applications of differential and integral calculus with emphasis on polynomials, exponential functions, logarithmic functions, business and economics applications. This course is for individuals with a good high school background in mathematics. This course does not provide the background for a student to continue on to Calculus II. Not available to students who have credit for MTH 150, MTH 152, or MTH250. Prerequisites : Cor better in MTH130 or permission of the instructor or department chair.

MTH 135 Concepts of Statistics (4 SH). An introduction to the concepts of statistics. Topics include graphical and numerical summaries of data, confidence intervals and significance tests about hypotheses. Emphasis is placed on conceptual understanding and interpretation of data and statistics. Not available to students who have credit for BA/ECO 220, PSY 201, SSC 251, BIO 206.

MTH 150 Calculus I (4 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.

MTH 152 Calculus II (4 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: MTH 150.

MTH 241 Discrete Mathematics (4 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: MTH 150 or MTH 131.

MTH 250 Calculus III (4 SH). An introduction to the calculus of several variables. Topics include the geometry of three-dimensionalspace, partial derivatives, multiple integrals, and vector calculus. Prerequisite: MTH 152.

MTH 253 Differential Equations (4 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: MTH 250.

MTH 261 Linear Algebra (4 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: MTH 250.

MTH 302 Probability (2 SH). An introduction to the mathematics of basic probability theory. Topics include general probability concepts, random variables, and discrete and continuous probability distributions. Prerequisite: MTH 241 and MTH 250.

MTH 310-319 Special Topics in Mathematics (4 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: MTH 241.

MTH 321 Numerical Analysis (4 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.

MTH 331 College Geometry (2 SH). An examination of the axiomatic foundations of non- Euclidean and Euclidean geometry. Prerequisites : MTH 241 and MTH 250.

MTH 335 Statistics (4 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 : MTH 152 and MTH 241.

MTH 341 Operations Research (4 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: MTH 250 and MTH 261.

MTH 361 Abstract Algebra (4 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 : MTH 261 and MTH 241.

MTH 431 Teaching Mathematics in the Secondary School (4 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.

MTH 451 Real Analysis (4 SH). Astudy 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.

MTH 481 Topology (4 SH). An introductory course covering set theory, continuous mappings, homeomorphisms, connectedness, compactness, metric spaces, product spaces and quotient spaces. Co-requisite : MTH 361.

MTH 590-594 Field Experience/Internship (1-4 SH). Prerequisites : MTH 261, junior or senior standing and consent of department.

MTH 601 Mathematics Capstone (4 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.

MTH 610-619 Advanced Topics (4 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.

MTH 620-624 Independent Study (1-4 SH).

MTH 660, 670, 680, 690 Honors Research (1-4 SH).

**Supporting Courses:**

BA 330 Econometrics (4 SH). Introduction to econometric modeling; estimation and testing economic relationships, forecasting; detailed analysis of classical linear regression models; discussion of serial correlation, collinearity, specification errors, and dummy variables. Popular computer software packages are used in real world applications. Prerequisites: ECO 150, two other ECO courses (except ECO 220), MTH 131, and BA/ECO 220 (or equivalent). (Also listed as ECO 601.)

CS 151 Principles of Computer Science I (4 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.

CS 152 Principles of Computer Science II (4 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.

ECO 385 Financial Economics (4 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 BA/ECO 220 (or equivalent). (Also listed as BA 385.)

PHY 151 Principles of Physics I (4 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.

PHY 152 Principles of Physics II (4 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.

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**Degree Offered**

Bachelor of Science