# University of Wisconsin Stout | Wisconsin's Polytechnic University

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**Get Your Hands on Your Future**

UW-Stout offers innovative, career-focused degrees based on active learning, applied theory and research.

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**Get Your Hands on Your Future**

UW-Stout offers innovative, career-focused degrees based on active learning, applied theory and research.

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- MATH- 10 Fundamentals Of Algebra
- MATH- 110 Intermediate Algebra
- MATH- 118 Concepts Of Mathematics
- MATH- 120 Introductory College Mathematics I
- MATH- 121 Introductory College Mathematics II
- MATH- 123 Finite Mathematics With Applications
- MATH- 150 Calculus with Precalculus A
- MATH- 151 Calculus with Precalculus B
- MATH- 153 Calculus I
- MATH- 154 Calculus II
- MATH- 156 Calculus And Analytic Geometry I
- MATH- 157 Calculus And Analytic Geometry II
- MATH- 158 Calculus III
- MATH- 180 Foundations Of The Language Of Mathematics
- MATH- 196 Uncovering the Role Mathematics Plays in Everyday Life
- MATH- 199 Independent Study
- MATH- 250 Differential Equations With Linear Algebra
- MATH- 255 Differential Equations
- MATH- 262 Modern Geometry
- MATH- 270 Discrete Mathematics
- MATH- 275 Linear Algebra
- MATH- 370 Modern Algebra I
- MATH- 371 Modern Algebra II
- MATH- 380 Cryptography
- MATH- 450 Real Analysis I
- MATH- 451 Real Analysis II
- MATH- 460 Complex Variables With Applications
- MATH- 499 Independent Study
- MATH- 710 Introduction to Industrial Mathematics
- MATH- 720 Algebraic Structures
- MATH- 755 Differential Equations: Initial and Boundary Value Problems
- MATH- 799 Independent Study

**MATH- 10 Fundamentals Of Algebra**
(2.00 cr.)

Repeatable: No

Review of fundamental principles of elementary algebra. Credit earned for MATH-010 will not count toward graduation. A special course fee applies.

**MATH- 110 Intermediate Algebra**
(4.00 cr.)

Repeatable: No

Basic algebraic skills: factoring, exponents, rational expressions, linear equations and inequalities, systems of equations, quadratic equations, and an introduction to functions. A special course fee applies.

**MATH- 118 Concepts Of Mathematics**
(4.00 cr.)

*Mathematics*

Repeatable: No

Elementary concepts in mathematical language and reasoning, sets, number systems and theory, algebraic equations, statistics and probability, geometry, computers; historical survey. Students may incur incidental expenses for software.

**MATH- 120 Introductory College Mathematics I**
(4.00 cr.)

*Mathematics*

Repeatable: No

Review of basic algebra, solving equations and inequalities, applications of equations and inequalities, functions and their graphs, polynomial equations, and systems of equations. Students may incur incidental expenses for software.

**MATH- 121 Introductory College Mathematics II**
(4.00 cr.)

*Mathematics*

Repeatable: No

Continuation of MATH-120. Study of functions to include rational, exponential, logarithmic, and trigonometric functions and two dimensional analytic geometry. Students may incur incidental expenses for software.

**MATH- 123 Finite Mathematics With Applications**
(4.00 cr.)

*Mathematics*

Repeatable: No

Real number system, systems of linear equations and inequalities, sets, functions, vectors, matrices, probability, linear programming, theory of games, Markov chains. Students may incur incidental expenses for software.

**MATH- 150 Calculus with Precalculus A**
(5.00 cr.)

*Mathematics*

Repeatable: No

First course in a two-course sequence. Review of basic algebra, solving equations and inequalities, graphing polynomial and rational functions.Limits and derivatives of polynomial and rational functions. Applications of derivatives.

**MATH- 151 Calculus with Precalculus B**
(5.00 cr.)

*Mathematics*

Repeatable: No

Second course in a two-course sequence. Properties, identities, and derivatives of exponential, logarithmic, and trigonometric functions. Affine transformations and graphing, linear systems of equations, and geometric applications of trigonometry. Integration and the Fundamental Theorem of Calculus.

**MATH- 153 Calculus I**
(4.00 cr.)

*Mathematics*

Repeatable: No

Functions, limits, continuity, bounds, sets; the derivative of functions and applications; exponential, logarithmic, trigonometric and inverse functions. Not open to those with credit in MATH-154, MATH-156, MATH-157 or MATH-158. Students may incur incidental expenses for software.

**MATH- 154 Calculus II**
(4.00 cr.)

*Mathematics*

Repeatable: No

Continuation of MATH-153: antiderivatives; integration theory and techniques, applications; parametric equations, vectors.

**MATH- 156 Calculus And Analytic Geometry I**
(5.00 cr.)

*Mathematics*

Repeatable: No

Review of real numbers, inequalities, absolute values, intervals and continuity; analytic geometry of the plane, limit concepts, derivatives of algebraic functions, definite integral.

**MATH- 157 Calculus And Analytic Geometry II**
(5.00 cr.)

*Analytic Reasoning - Mathematics*

Repeatable: No

Application of derivative and definite integral; conic sections and other algebraic curves; calculus for rational, algebraic, circular, exponential and trigonometric functions; formal integration.

**MATH- 158 Calculus III**
(3.00 cr.)

Repeatable: No

Formal integration continued; parametric equations, polar representation, Cauchy's formula, Taylor's theorem, infinite series, vectors, partial differentiation, multiple integration.

**MATH- 180 Foundations Of The Language Of Mathematics**
(4.00 cr.)

Repeatable: No

Conceptual foundations of mathematics and the language of mathematics. Logical rules of inference, statement forms, methods of proof, universal and existential quantifiers, abstraction and definition, set theory, relations, functions and cardinality. Proofs involving the above concepts and applications of the conepts and methods of proof to particular abstract mathematical objects.

**MATH- 196 Uncovering the Role Mathematics Plays in Everyday Life**
(3.00 cr.)

Repeatable: No

Investigation of mathematical concepts and algorithms that are used in everyday objects and technology. Concepts of fair division, identification numbers, information science, symmetry and patterns, and their applications. Offered for Wisconsin in Scotland program only.

**MATH- 199 Independent Study**
(1.00 - 3.00 cr.)

Repeatable: Yes

Department consent

**MATH- 250 Differential Equations With Linear Algebra**
(3.00 cr.)

Repeatable: No

Differential equations: first-order and higher- order equations, systems of linear differential equations. Linear algebra: matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors.

**MATH- 255 Differential Equations**
(3.00 cr.)

Repeatable: No

Common types of ordinary differential equations of first and second order; linear equations with constant coefficients; series solutions, numerical approximations, systems of ordinary equations.

**MATH- 262 Modern Geometry**
(3.00 cr.)

Repeatable: No

Development of logical discourse, betweenness properties and plane separation, geometric models of axiomatic systems, modern geometry of triangle and circle, transformations (linear, circular), orthogonal systems of circles, elliptic and hyperbolic geometry.

**MATH- 270 Discrete Mathematics**
(3.00 cr.)

Repeatable: No

Exploration of sets, relations, functions, formal logic, proof techniques, counting techniques, graphs, recurrence relations, and generating functions. Applications in mathematics and computer science.

**MATH- 275 Linear Algebra**
(3.00 cr.)

Repeatable: No

Algebra of linear transformations and matrices. Determinants, equivalence relations, rank systems of equations, vector spaces, orthogonal transformations, characteristic equations and quadratic forms.

**MATH- 370 Modern Algebra I**
(3.00 cr.)

Repeatable: No

Set theory, mappings, equivalence relations and classes, mathematical induction, Peano's postulates, isomorphisms; development of natural numbers, integers, rational, and real numbers; introduction to integral domains and rings.

**MATH- 371 Modern Algebra II**
(3.00 cr.)

Repeatable: No

Continuation of 355-370; rings, integral domains, fields, polynomials, groups, vector spaces; introduction to algebra of matrices.

**MATH- 380 Cryptography**
(3.00 cr.)

Repeatable: No

Classical, public-key and symmetric-key cryptosystems. Basic number theory. Digital signature schemes. Applications to information assurance and cyber security.

**MATH- 450 Real Analysis I**
(3.00 cr.)

Repeatable: No

Rigorous development of advanced topics in analysis; functions, real numbers, sequences, Cartesian spaces, sequences of functions, limit superior and inferior, continuous functions.

**MATH- 451 Real Analysis II**
(3.00 cr.)

Repeatable: No

Continuation of 355-450; differentiation, integration, infinite series.

**MATH- 460 Complex Variables With Applications**
(3.00 cr.)

Repeatable: No

Complex numbers, analytic functions, elementary functions of complex variables, mapping of elementary functions, integration techniques, power series and calculus of residues.

**MATH- 499 Independent Study**
(1.00 - 3.00 cr.)

Repeatable: Yes

Department consent

**MATH- 710 Introduction to Industrial Mathematics**
(3.00 cr.)

Repeatable: No

Introduction to mathematical methods with direct applications in business and industry, including mathematical aspects of quality control, Monte Carlo methods, linear programming, model fitting, frequency domain methods, difference and differential equations, graph theory, and report writing.

**MATH- 720 Algebraic Structures**
(3.00 cr.)

Repeatable: No

Modular arithmetic, Chinese remainder theorem, linear Diophantine equations, quadratic reciprocity, vector spaces, matrices, inner product, quadratic forms, finite fields, field extensions and solutions to equations over finite fields.

**MATH- 755 Differential Equations: Initial and Boundary Value Problems**
(3.00 cr.)

Repeatable: No

Methods used in solving initial and boundary value differential equation problems that arise in applied mathematics, physics, engineering, economics, and statistics.

**MATH- 799 Independent Study**
(1.00 - 3.00 cr.)

Repeatable: Yes

Department consent

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