# Mathematics Courses

MATHEMATICS COURSES

MATH 098 Beginning Algebra                                                                                                                                                             3 credits

An introduction to algebra with a review of basic arithmetic. Includes decimals, fraction, percentage, ratio, proportion, signed numbers, algebraic expressions, factoring, exponents and radicals, linear equations, and graphs. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only.

MATH 099 Intermediate Algebra                                                                                                                                                        3 credits A review of the arithmetic of fractions and decimals, percentage problems, signed numbers, arithmetic, and topics of basic algebra, including simplifying algebraic expressions, solving and graphing linear equations, basic factoring, working with algebraic fractions, and solving rational and quadratic equations. This course is designed for students who need a review of the basic algebra skills necessary to complete the required mathematics course MATH 140. Credit does not count toward graduation. Graded Satisfactory/ Unsatisfactory only. Prerequisite: ACT math score of 16 or above; SAT math score of 440 or above, MATH 098; or Accuplacer Elementary Algebra test score of 60 or above.

MATH 100 Math for Liberal Arts Skills                                                                                                                                              1 credits

A review of the math skills necessary to succeed in MATH 105, Mathematics for the Liberal Arts. Corequisite MATH 105.

MATH 102 College Algebra Skills                                                                                                                                                        1 credits

A review of the math skills necessary to succeed in MATH 140, College Algebra. Prerequisites: an assessment equivalent to ACT math score between 17-20; SAT Math score between 450-530; an Accuplacer Elementary Algebra score between 75-105; or a Compass Algebra score between 26-44; and a high school GPA of 2.75 or higher. Co-requisite MATH 140. Note: this course is intended for those qualified students wanting to complete the Supplemental Academic Instruction (SAI) program in Math.

MATH 103 Statistical Thinking Skills                                                                                                                                                   1 credit

A review of the math skills necessary to succeed in MATH 113, Statistical Thinking. Prerequisites: an assessment equivalent to ACT math score between 17-20; a SAT Math score between 410-500; an Accuplacer Elementary Algebra score between 75-105; or a Compass Algebra score between 26-44; and a high school GPA of 2.75 or higher. Co-requisite MATH 113. Note: this course is intended for those qualified students wanting to complete the Supplemental Academic Instruction (SAI) program in Math.

MATH 105 Mathematics for the Liberal Arts                                                                                                                                    3 credits Topics may include practical applications such as personal finance and numbers in the media, along with aesthetic applications such as connections between mathematics and art or music. Prerequisite: ACT math score of 19 or above; SAT math score of 500 or above; or MATH 098 or MATH 099; or Accuplacer Elementary Algebra test score of 85 or above; or corequisite MATH 100. GT-MA1

Math 113 Statistical Thinking                                                                                                                                                                3 credits

A course introducing the ideas of statistical analysis. Topics include data visualization and summarization, parameter estimation, and hypothesis testing. This course emphasizes practical aspects of data analysis and makes extensive use of spreadsheets and real data. Prerequisite: ACT math score of 21 or above; SAT math score of 510 or above; MATH 099; or Accuplacer Elementary Algebra test score of 106 or above; or co-requisite MATH 103 (SAI). GT-MA1

MATH 140 College Algebra                                                                                                                                                                   3 credits

An integration of the essential algebraic manipulations, solving equations and inequalities, polynomial functions, exponential and logarithmic functions, and techniques of graphing. Prerequisite: ACT math score of 21 or above; SAT math score of 540 or above; MATH 099; or Accuplacer Elementary Algebra test score of 106 or above; or co-requisite MATH 102 (SAI). GT-MA1

MATH 141 Precalculus                                                                                                                                                                           4 credits

This course explores the theory and applications of trigonometry, and includes an introduction to vector and matrix analysis. Topics may include the unit circle, triangle trigonometry, trigonometric functions, polar coordinates, complex numbers, vector geometry, and applied matrix techniques. Prerequisite: ACT math score of 23 or above; SAT math score of 560 or above; MATH 140 with a minimum grade of “C-”; or Accuplacer university- level mathematics test with a score of 65 or above.

MATH 151 Calculus I                                                                                                                                                                              4 credits

A study of differential calculus, including limits, continuous functions, Intermediate Value Theorem, tangents, linear approximation, inverse functions, implicit differentiation, extreme values and the Mean Value Theorem. This course also introduces Integral calculus including anti-derivatives, definite integrals, and the Fundamental Theorem of Calculus. Prerequisite: ACT math score of 27 or above; SAT math score of 630 or above; MATH 141 with a minimum grade of "C-"; or Accuplacer university-level mathematics test with a score of 95 or above.

MATH 197 Special Topics                                                                                                                                                                 1-6 credits

MATH 200 Discrete Mathematics                                                                                                                                                     3 credits Designed to provide some of the mathematical background necessary for advanced work in computer science. Topics include logic, set theory, Boolean algebra, switching theory, counting and enumeration, number theory, mathematical induction, linear modeling, basic matrix algebra, and the graphical and simplex methods of linear programming. Applications of the topics covered are emphasized. Prerequisite: MATH 141 with a minimum grade of “C-.”

MATH 209 Mathematics for Elementary School Teachers I                                                                                                        3 credits First of two courses designed for prospective elementary teachers. Emphasizes the real number system, arithmetic operations, and algebra. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and structures. Content is presented using problem solving and exploration. Prerequisite: ACT math score of 23 or above; SAT math score of 560 or above; MATH 140 with a minimum grade of “C-”; or Accuplacer university-level mathematics test with a score of 65 or above.

MATH 210 Mathematics for Elementary School Teachers II                                                                                                        3 credits Second of two courses designed for prospective elementary teachers. Emphasizes probability, data analysis, and geometry. Explorations focus on representations of data and two-and three-dimensional shapes, their properties, measurements, constructions, and transformations. Prerequisite: MATH 209 with a minimum grade of “C-.”

MATH 213 Probability and Statistics                                                                                                                                                3 credits A course in the use of statistical techniques to draw knowledge from data. Topics include exploratory data analysis, descriptive statistics, t-procedures, ANOVA, chi squared procedures, regression, and non-parametric tests. Statistical software is used extensively to analyze real data sets. Prerequisite: MATH 141 with a minimum grade of “C-,” or Accuplacer university-level mathematics test score of 85 or above; or instructor permission.

MATH 220 Introduction to Advanced Mathematics                                                                                                                        3 credits

Students develop and use elementary logic and set theory to construct deductive proofs with relations, functions, and some algebraic

structures. Topics include indexing, equivalence relation theory, and cardinality. Prerequisite: MATH 151 with a minimum grade of “C-.”

MATH 232 Applied Calculus for the Managerial and Social Sciences                                                                                         3 credits

An introduction to differential and integral calculus for students majoring in business, accounting or the social sciences. The calculus is presented using a variety of real-world business and economic applications, stressing marginality, elasticity, and accumulation. Prerequisite: ACT math score of 23 or above; SAT math score of 560 or above; MATH 140 with a minimum grade of “C-”; or Accuplacer university- level mathematics test with a score of 65 or above.

MATH 251 Calculus II                                                                                                                                                                  4 credits

Topics include techniques of integration, area computations, improper integrals, infinite series and various convergence tests, power series, Taylor’s Formula, polar coordinates, and parametric curves.  Prerequisite: MATH 151 with a minimum grade of “C-.”

MATH 252 Calculus III                                                                                                                                                                        4 credits

Topics include calculus of functions of several variables, differentiation and elementary integration, vectors in the plane and space. Prerequisite: MATH 251 with a minimum grade of “C-.”

MATH 260 Applied Linear Algebra                                                                                                                                                     3 credits

A course in the techniques and applications of linear algebra.  The core topics include solving systems of linear equations, eigenvalues and eigenvectors, matrix decomposition, the pseudoinverse and least squares approximations, and the singular value decomposition.  The theory is supplemented with extensive applications and computer programming.  Prerequisite: MATH 141.

MATH 266 Secondary Mathematics from an Advanced Perspective                                                                                           3 credits A course designed to help Secondary Licensure Emphasis majors understand the core mathematical content of high school mathematics courses before calculus. These concepts are treated from an advanced standpoint, emphasizing connections and extensions. Topics include number systems, polynomial and transcendental functions, analytic geometry, theory of equations, and measurement. Prerequisite: MATH 151 with a minimum grade of “C-.”

MATH 275 Scientific Programming, Modeling and Simulation                                                                                                 3 credits Designed to develop programming skills appropriate for scientific and industrial applications. Topics may include numerical solution of differential equations, singular value decomposition, and Fourier analysis. Emphasis is placed on problem modeling, algorithm development, and data visualization. Prerequisites: CS 190 and MATH 151 with minimum grades of “C-.”

MATH 297 Special Topics                                                                                                                                                  1-6 credits

MATH 300 Introduction to Mathematical Modeling                                                                                                                       3 credits Designed to teach   the   basic   principles   of   mathematical   modeling   and applied mathematics. Techniques from calculus, statistics, and probability are utilized to model real-world problems. Analytic and numeric tools are used to implement the models, obtain predictions and investigate underlying mechanisms. Topics include dimensional analysis, curve fitting, simulations, differential and difference equations. Prerequisites: MATH 251 and MATH 213 with minimum grades of “C-.”

MATH 313 Statistical Modeling and Simulation                                                                                                                             3 credits

A study of statistical techniques used to model and simulate stochastic processes. The core topics include linear and nonlinear multivariate models, generalized additive models, time series models with auto-correlated error, and mixed effects models. Emphasis is placed on computational techniques appropriate to large data sets and data visualization. Prerequisites: MATH 213 or ECON 216, MATH 260, CS190.

MATH 314 Applied Probability                                                                                                                                            3 credits A study of the basic principles of probability theory and their applications. Topics include combinational analysis, conditional probabilities, discrete and continuous random variables, and measures of centrality and variance. Emphasis is placed on applications using probability distributions (including binomial, geometric, Poisson, uniform, exponential, and normal distributions) to assess and manage risk in the fields of finance, insurance, medicine, and quality control. Prerequisite: MATH 251 with minimum grade of “C-.”

MATH 317 Genome Analysis (with laboratory)                                                                                                                                3 credits

This course introduces students to the appropriate mathematical techniques to answer questions about information contained in genetic sequences. These techniques may include dynamic programming, motif similarity, Bayesian models, hidden Markov models, principal component analysis, and clustering. Students use standard genome query tools to annotate genomic DNA. MATH 317 and BIOL 317 cannot both be taken for credit. Prerequisite: MATH 213 and either MATH 151 or CS 190.

MATH 330 Topics in Geometry                                                                                                                                                           3 credits An introduction to modern geometries. Topics include synthetic, analytic, vector, and transformational approaches to geometry. Classification of geometries, axiomatics, and the application of geometry may also be included. Prerequisite or corequisite: MATH 220.

MATH 354 Differential Equations                                                                                                                                                       3 credits A study of the theory and methods for solving ordinary differential equations. Prerequisite: MATH 251 with a minimum grade of

“C-.”

MATH 360 Linear Algebra                                                                                                                                                                    3 credits

A study of systems of linear equations, matrix operations, vector spaces, properties of determinants, eigenvalues, eigenvectors, orthogonality and least-squares.  Emphasis is placed on theoretical aspects and general vector space properties with proof.  Prerequisite: MATH 260 and MATH 220 with minimum grades of “C-.”

MATH 366 Methods of Teaching Secondary Mathematics                                                                                                            3 credits Secondary Licensure Emphasis majors learn to use the latest teaching techniques and technologies, to prepare valid mathematics tests, to be able to effectively evaluate their students, to know the latest developments in secondary mathematics curriculum, and to become familiar with professional mathematics teaching organizations and their journals. Prerequisites: MATH 220 and MATH 266 with minimum grades of “C-.”

MATH 370 History of Mathematics                                                                                                                                    3 credits Acquaints the student with the historical development of mathematics. Includes an introduction to the proper methods and accepted formats of written, graphical, and oral communication in mathematics. Prerequisites: MATH 220 and MATH 251 with minimum grades of “C-.”

MATH 375 Numerical Methods                                                                                                                                                   3 credits A study of techniques of computation for power-series calculation of functions; roots of equations; nonlinear simultaneous equations; matrices, determinants, and linear simultaneous equations; numerical integration; and differential equations. Prerequisites: MATH 251 and either CS 275 or CS 310 with minimum grades of   “C-.”

MATH 390 Introduction to Peer Tutoring in Mathematics                                                                                                             1 credit Strategies for tutoring mathematics at the university level, with a focus on presenting mathematical concepts and procedures, reducing anxiety, and improving study skills. May be repeated for up to four credits. Graded Satisfactory/Unsatisfactory only. Prerequisite:  MATH 151 with a minimum grade of “B-” and instructor permission.

MATH 391 Seminar in Mathematics                                                                                                                                                     1 credit A selected topic from areas of mathematics not usually included in the regular curriculum. Student involvement through presentations is emphasized. May be taken under different topics for a total of two credits.

MATH 392 Independent Study in Mathematics                                                                                                             1-4 credits

MATH 397 Special Topics                                                                                                                                                  1-6 credits

MATH 414 Actuarial Mathematics                                                                                                                                      3 credits

A study of mathematical concepts useful in risk management, including multivariate probability and interest theory.  Topics include the Central Limit Theorem, joint distributions, combinations of distributions, conditional and marginal probabilities, time value of money, annuities, and loans.  Emphasis is placed on solving problems from the actuarial field, including applications to insurance and business.  Prerequisites:  MATH 252 and MATH 314 with minimum grades of “C-.”

MATH 451 Analysis I                                                                                                                                                              3 credits

An introduction to the theory of calculus. Topics include the usual topology of the reals, sequences, limits, continuity, differentiation, and Riemann integration. Prerequisites: MATH 220 and MATH 251 with minimum grades of “C-.”

MATH 456 Introduction to Complex Analysis                                                                                                                                3 credits An introduction to the theory and applications of complex variables. Topics include analytic and elementary functions, integrals, series, residues, and conformal mapping. Prerequisites: MATH 220 and MATH 252 with minimum grades of “C-.”

MATH 471 Abstract Algebra I                                                                                                                                                              3 credits

An introduction to the theory of groups and rings. The fundamental group properties and concepts including cyclic groups, subgroups, direct products, symmetric groups, cosets, normal subgroups, and the group homomorphism theorems are discussed. Prerequisite: MATH 220 with a minimum grade of “C-” and at least three upper-division mathematics credits.

MATH 490 Workshop                                                                                                                                                                       2 credits

A study of a variety of mathematical topics generally dictated by student interest. The course may be taken for credit three times if the content of the workshop differs.

MATH 495 Senior Seminar                                                                                                                                                                   2 credits

A capstone course for all mathematics majors. Each student selects an area of interest, researches the selected area, generates a reference list and research paper, and presents the paper to a seminar of faculty and students. Prerequisites: MATH 260 and either MATH 451 or MATH 471.

MATH 496 Senior Seminar Professional Experience                                                                                                                        1 credit

Provides students an opportunity to prepare their Senior Seminar research for the mathematics community outside of Western. Graded Satisfactory/Unsatisfactory only. Prerequisite: instructor permission. Co-requisite: MATH 495.

MATH 497 Special Topics                                                                                                                                                                  1-6 credits

MATH 499 Internship in Mathematics                                                                                                                                           1-12 credits

Students participate in supervised field experience with a cooperating firm in the mathematics field. The sponsoring faculty member provides evaluations after the field experience is complete. A formal paper is required of the student. Specific department requirements must be met to participate in this course. Prerequisite: 18 credits of Mathematics course work, including nine upper-division credits.