# Mathematics Course Descriptions 2016-2017

## 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. MATH 098 is offered through Extended Studies and a fee is assessed.

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 courses MATH 131 or MATH 140. MATH 099 is offered through Extended Studies and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/ Unsatisfactory only.

Prerequisite: ACT math score of 16 or above; SAT math score of 400 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 101 Math for Social Sciences Skills 1 credits**

A review of the math skills necessary to succeed in MATH 131, Mathematics for the Social Sciences.

Prerequisite: an assessment equivalent to ACT math score of 17 or above; SAT math score of 400 or above; or Accuplacer Elementary Algebra test score of 60 or above. Corequisite MATH 131.

**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; 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 140. 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**

An investigation into a variety of mathematical concepts with an emphasis on quantitative literacy. 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 460 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 131 Mathematics for the Social Sciences 3 credits**

A course for the student majoring in the social sciences. Topics may include the study of linear functions, linear regression, systems of linear equations and matrix inverses, linear optimization, financial calculations, sets and counting, basic and conditional probability, the binomial and normal probability distributions, and descriptive statistics.

Prerequisite: ACT math score of 21 or above; SAT math score of 500 or above; MATH 099; or Accuplacer Elementary Algebra test score of 85 or above; or corequisite MATH 101. 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 510 or above; MATH 099; or Accuplacer Elementary Algebra test score of 106 or above; or co-requisite MATH 102 (SAI).

**MATH 141 Precalculus 4 credits**

Preparation for calculus by the study of functions of one variable over the real numbers. These are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. Inverse functions, polar coordinates and trigonometric identities are included.

Prerequisite: ACT math score of 23 or above; SAT math score of 530 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 610 or above; MATH 141 with a minimum grade of “C-”; or Accuplacer university-level mathematics test with a score of 95 or above. GT-MA1

**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 530 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**

An introduction to descriptive statistics, probability concepts, and inferential statistics. The topics for the course include presentation of data, counting principles, probability rules, and discrete and continuous probability distributions.

Prerequisite: MATH 141 with a minimum grade of “C-,” or Accuplacer university-level mathematics test score of 85 or above; or instructor permission. GT-MA1

**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 530 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 311 Mathematical Knowledge for Teaching Elementary School 3 credits**

This problem based class uses video and written records of children doing mathematics to enable prospective elementary educators to develop a connected framework of mathematical knowledge, understand mathematical thinking of others, and recognize how specific mathematical tasks contribute to a child’s emerging mathematical knowledge. Problems are tied to specific mathematical standards and practices from the Common Core State Standards for Mathematics (grades K-6).

Prerequisite: MATH 210 with a minimum grade 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: ECON 316, 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 161 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 252 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-.”

**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 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.