**MATH 131. Thinking Mathematically, 3 credits**

This course is a survey of topics in applied mathematics stressing the connections between contemporary mathematics and modern society. Topics include critical thinking, financial management, statistical reasoning, probability, math in politics, and math in art. This course meets the general education requirement in mathematics.

**+MATH 171. Elementary Functions, 3 credits**

Study of algebraic, exponential, logarithmic, and trigonometric functions; their graphs, properties, and applications. Graphing calculator strongly recommended.

**+MATH 191. Calculus & Analytic Geometry I, 4 credits**

Review of algebra and functions of a single variable; limits, continuity, differentiability, and integrability. Applications of limits, derivatives, differentials and integrals to solutions of physical and social problems.

Prerequisite: MATH 171 or ACT Math score of at least 28

**MATH 192. Calculus & Analytic Geometry II, 4 credits**

Techniques of integration; polar coordinates; sequences and series. Modeling with differential equations. Introduction to partial differentiation and multiple integration.

Prerequisite: MATH 192 or score of 3 or higher on the AP Calculus AB Exam

**+MATH 210. Theory of Arithmetic, 3 credits**

Limited to candidates for elementary teaching licensure or certificate. Topics include problem solving strategies, sets and elementary number theory and number systems, probability and statistics, informal geometry and measurement.

**MATH 211. Mathematics Concepts for Teachers, 3 credits**

The course gives prospective elementary school teachers insights into the application of mathematical reasoning, critical thinking skills, and topics related to mathematical content standards – algebra, geometry, measurement, and data analysis and probability. This includes the process standards of problem solving, reasoning and proof, connections, communication and representation within each content standard identified in "Principles and Standards for School Mathematics" (NCTM, 2000).

Prerequisite: MATH 210; EDUC 284; admission to Teacher Education Program

**WI-MATH 220. Introduction to Logic & Proof, 3 credits**

Introduction to Logic and Proof is designed to help students develop skills in reading and understanding elementary mathematical proofs, and in expressing their own mathematical ideas through formal writing. Emphasis will be on precision and style. Math topics include: Logical connectives and quantifiers; types of proof; elementary set theory; functions; integers and induction; equivalence relations; modular arithmetic; matrices.

Prerequisite: MATH 171 or ACT Math score of at least 28

**+MATH/CSCI 281. Discrete Structures, 3 credits**

Introduction to discrete mathematics as it is used in computer science. Topics include propositional and the predicate logic, simple circuit logic, elementary number theory, sequences and summations, methods of proof (direct, by contradiction, by contraposition, by induction), set theory, graph theory, combinatorics, and discrete probability.

**MATH 290. Elementary Linear Algebra, 3 credits**

Matrices and systems of linear equations. Determinants. Lines and planes in three-space. Vector spaces and linear transformations. Characteristic equations, eigenvalues and eigenvectors. Diagonalization.

Prerequisite: MATH 191 or a score of 3 or higher on the AP Calculus AB Exam

**MATH 291. Calculus & Analytic Geometry III, 4 credits**

Limits and continuity of functions of several variables, partial derivatives, directional derivatives, multiple integration, vectors, planes and and vector fields. Green's Theorem.

Prerequisite: MATH 192 or a score of 3 or higher on the AP Calculus BC Exam

**MATH/STAT 300. Modern Probability & Statistics, 3 credits**

A Calculus-based introduction to probability and the application of mathematical principles to the collection, analysis, and presentation of data. Modern probability concepts, discrete/continuous models, and applications; estimation and statistical inference through modern parametric, nonparametric, and simulation/randomization methods; maximum likelihood; Bayesian methods. This course prepares students for the preliminary P/1 exam of the Society of Actuaries (SOA) and Casualty Actuarial Society (CAS).

Prerequisite: MATH 191

**MATH/STAT 301. Statistical Modeling, 3 credits**

The development, application, and evaluation of statistical models to analyze data for decision-making. Univariate and multivariate general linear models (ANOVA, ANCOVA, MANOVA, linear regression), generalized linear models (logistic and Poisson regression), and nonlinear models. The course focuses on experimental design and model estimation (including robust and randomization-based methods), fit, and interpretation. Students are also introduced to multivariate techniques, including multidimensional scaling, principal components analysis, cluster analysis, and structural equation modeling.

Prerequisite: A previous statistics course, such as MATH 300 or STAT 213, that introduces statistical inference.

**MATH/STAT 305. Modern Data Analysis, 3 credits**

Case study approach to topics in the statistical analysis of data. Collecting, coding, validating data; exploratory data analysis; effective quantitative displays; survey/experimental design and sampling; power and error rates; measurement theory; multivariate statistical methods; data mining techniques.

Prerequisite: MATH 300 or STAT 213 or another statistics course

**MATH 320. Ordinary Differential Equations, 3 credits**

First-order ordinary differential equations, linear second order and higher differential equations, series solutions, systems of differential equations and their applications, matrix methods for linear systems, existence and uniqueness theorems.

Prerequisite: MATH 192

**MATH 340. Secondary Math Methods, 3 credits**

Current issues, methods, and materials in teaching mathematics at the secondary level. Students will critically consume and apply research with local and national standards to plan, deliver, and evaluate effective instruction. Students are required to complete a field component of 25 class contact hours.

Prerequisite: Admission to Teacher Education Program, EDUC 305, MATH 291.

**MATH 370. Real Analysis I, 3 credits**

Basic elements of real analysis for students of mathematics. Topics include limits of functions, continuity, and metric spaces.

Prerequisite: MATH 192, 220, 290

**WI-MATH 380. Abstract Algebra I, 3 credits**

Definitions and basic properties of groups. Homomorphisms, normal subgroups, quotient groups and direct products. Rings, integral domains and fields. Ideals, quotient rings and polynomials.

Prerequisite: MATH 220 or 290 or Departmental approval

**MATH 390. Mathematical Programming, 3 credits**

The use of mathematical applications and markup languages.

Prerequisite: Departmental approval

**MATH 400. Topics in Mathematics, 1-3 credits**

Prerequisite: Departmental Approval

*+ = satisfies General Education requirement**WI = writing intensive*