Review of pre-algebra mathematics with an introduction to basic algebra. Topics include: real numbers, with an emphasis on fractions and decimals; percent notation; exponents; ratios, rates, and proportions; algebraic expressions; solving equations and inequalities; polynomials; factoring integers; and an introduction to graphing linear equations. Does not apply toward University Studies requirements or graduation requirements.

This course supports MATH 113 by reviewing topics from elementary algebra. Typically, topics include: the real number system; functions; linear equations and inequalities and their graphs; systems of linear equations; polynomials, factoring polynomials; rational expressions; rational exponents; radical expressions. Does not apply toward University Studies requirements or graduation requirements.

This course supports MATH 112 and MATH 130 by reviewing topics from elementary algebra. Topics may include: the real number system; functions; linear equations and their graphs; rational expressions; rational exponents; combinations and permutations. Content in this course varies depending on student needs. Does not apply toward University Studies requirements or graduation requirements.

A liberal arts mathematics course presenting mathematics as a tool used by a wide range of professionals in modern society. Real-life examples are used to promote understanding of mathematics and its relationship to other areas of study. Examples will be chosen from graph theory (Traveling Salesman Problem and Euler Circuits), voting theory (fairness criteria and Arrow's impossibility theorem), elementary probability and statistics, logic, geometry, mathematics of growth, mathematics of finance, and mathematical modeling.

Algebraic concepts, problem-solving techniques, and applications for students in business, natural and social sciences. Topics include linear, quadratic, exponential, logarithmic functions and their graphs; equations and inequalities; systems of equations/inequalities and elementary linear programming and complex numbers.

Covers the algebra and trigonometry required for Calculus and Analytic Geometry. Topics include review of intermediate algebra; composite and inverse functions; systems of equations; partial fractions; matrices; polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, identities, and equations; the binomial theorem; and fundamentals of analytic geometry.

Introductory course for students of all disciplines. Includes descriptive statistics, probability, the binomial and normal distributions, confidence intervals, correlation and linear regression, Central Limit Theorem, and one-sample (population mean and population proportion) and two-sample (population means) hypothesis testing. Problems are taken from various fields of study dependent on statistical decision making.

A short course in calculus including concepts and problem-solving techniques for students in business, economics, biology and the social sciences. Topics include review of algebraic, exponential and logarithmic functions; limits, derivatives and optimization problems; integrals; and partial derivatives.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

A first course in the fundamentals of calculus. Topics include: real numbers; functions; limits; continuity; derivatives, integrals; the use of computational tools in calculus; transcendental functions; and applications.

Continuation of MATH 240. Topics include: conic sections; techniques and applications of integration; parametric curves and polar coordinates; indeterminate forms; improper integrals; and infinite series.

Continuation of MATH 241. Topics include: three-dimensional analytic geometry; vectors; partial derivatives; multiple integrals; line integrals; and surface integrals.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

Fundamentals of formal mathematics emphasizing mathematical writing and types of formal proof. Includes significant coverage of topics in logic, set theory, basic number theory, relations and functions.

Introduction to the algebra and geometry of two-and three-dimensional real vector space and extension to n-dimensional space. Topics include: line and coordinate vectors; systems of linear equations and their solution by reduction methods; matrix algebra; determinants; fundamentals of abstract vector spaces; linear independence, dimension theorems; linear transformations; eigenvalues and eigenvectors; diagonal matrices; quadratic forms; inner products; and the Gram-Schmidt orthogonalization.

Investigation of concepts of non-calculus mathematics of interest in computer and other areas. Topics include: recurrence relations, enumerative combinatorics, partially ordered sets, graph theory, and related algorithms.

Introduction to the theory of ordinary differential equations including some coverage of series solutions, as time permits. Also covers various classical applications, such as spring mass systems.

A proof-based course in modern geometry with an emphasis in Euclidean Geometry. Topics include: lines, polygons, circles, congruence and similarity, area of shapes, compass and straight edge constructions, axioms of incidence, and Playfrair's axiom.

A first course in Calculus-based probability theory. Topics include: axioms of probability; combinatorial analysis; conditional probability; independence; discrete and continuous random variables; probability distributions; expectation; variance; Poisson processes; and limit theorems.

Calculus-based statistics emphasizing applications intended for students in mathematics, economics and the sciences. Topics include: the use of statistical software; estimation and prediction; hypothesis testing; linear and multiple regression; F and t tests; analysis of variance; and non-parametric statistics.

Various individual and small-group projects carried out under the supervision of one or more instructors. Requires weekly progress reports plus a final report and/or a final exam. May be repeated, but no more than a total of four credits may be earned from both MATH 381 and CSCI 381. Pass-Fail only. Preliminary project plan and an independent study contract required prior to enrollment.

Topics include mathematical programming, (programming problems, transportation problems, dynamic programming, game theory), queuing theory, inventory theory, reliability theory, and simulation techniques.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

Work in an approved position to gain experience in solving real problems using computer science, mathematics, and statistics. Interns may receive salaried appointments with cooperating companies. Pass-Fail only.

Preparation for the national Putnam Mathematics Contest. Includes review of previous examination problems and lectures on selected topics. May be repeated for a total of up to six credits. Pass-Fail only.

Thorough introduction to automata, formal languages and computability. Topics include: models of computation; regular and context-free languages; finite and pushdown automata; Turing machines; unsolvable decision problems; and fundamentals of computational complexity.

Techniques for the design and analysis of algorithms, including greedy algorithms, divide-and-conquer, and dynamic programming graph and network algorithms (shortest paths, connectivity, coloring, flows, matchings), geometric algorithms (convex hulls, range search, nearest neighbors), NP-complexity and lower and upper bounds of program complexity, approximation algorithms (vertex cover, traveling salesman, scheduling), and introduction to randomized algorithms.

Study of the theory of cryptography together with applied programming projects. Topics include: discrete probability spaces; Shannon's theory of information and perfect secrecy; classical cryptosystems and cryptanalysis; authentication and key exchange; public key cryptosystems; elementary number theory, primality checking, the RSA cryptosystem; and Advanced Encryption Standard (AES).

Fundamental concepts of limit, continuity, differentiability, and integrability of functions of one variable and sequences and series.

Topology of Euclidean space, metric spaces, topological spaces, bases and neighborhoods, Hausdorff property, continuity, homeomorphisms and embeddings, connectivity, and compactness.

Introduction to algebraic systems including groups, rings, integral domains and fields, homomorphisms and isomorphisms.

Introduction to the study of analytic functions including differentiation, integration and series.

Study of theory and applications of computational techniques for mathematical solutions emphasizing rapid approximation and error analysis. Topics include: solution to equations in one variable; polynomial approximations to functions; error analysis; numerical solutions to ordinary differential equations; boundary value problems.

In-depth study of selected topics in mathematical sciences. May be repeated when topics are different.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course.

Senior year students carry out individual investigations into chosen topics of mathematics. A written paper of their findings will be presented to the Mathematics and Computer Science department. Instructor consent is required.