# Mathematics

## Mathematics Courses

20-804-210-00 Introduction to Computers and Their Use

Introduces hardware, software, and information processing methodologies as problem-solving
tools in liberal arts, sciences, and education. Addresses the history and social impact
of computers. Students will use productivity tools such as word processing, spreadsheet,
and database software. Lecture/Lab. 3 credits.

20-804-220-00 Intermediate Algebra

Studies the construction and resulting properties of the real number system. Students
simplify and factor algebraic expressions using fundamental laws and order of operations;
solve first and second degree equations and inequalities in one variable, systems
of equations, and exponential and logarithmic equations; graph first degree and second
degree equations and inequalities in two variables; and solve equations involving
rational expressions, fractional exponents and radicals. Prerequisite: 10-834-110
with a grade of "C" or better, one year of high school algebra with a grade of "C"
or better, or suitable UW Math Placement Test score. Lecture. 4 credits.

20-804-224-00 Algebra for Calculus

Covers properties of the real number system, algebraic expressions, equations and
inequalities, functions and graphs, polynomial and rational functions, exponential
and logarithmic functions, analytic geometry, matrices, determinants, and systems
of linear equations, sequences and series. Prerequisite: 20-804-220 with a grade of
"C" or better, two years of high school algebra with a grade of "C" or better, or
suitable score on the UW Math Placement Test. Lecture. 4 credits.

20-804-227-00 Elementary Math Education I

Covers mathematics content necessary for prospective early childhood and elementary
teachers. Topics include foundational and historical concepts from arithmetic and
algebra. Prerequisite: 20-804-220 with a grade of "C" or better, two years of high
school algebra with a grade of "C" or better, or suitable score on the UW Math Placement
Test. Lecture. 4 credits.

20-804-228-00 Plane Trigonometry

Covers trigonometric functions and their inverse functions, graphing trigonometric
functions, trigonometric identities, solving triangles, solving equations and inequalities,
complex numbers in trigonometric form, and polar curves. Prerequisite: 20-804-220
with a grade of "C" or better, two years of high school algebra with a grade of "C"
or better, or suitable score on the UW Math Placement Test. Lecture. 3 credits.

20-804-230-00 Statistics

Studies statistical techniques for the systematic collection, presentation, analysis
and interpretation of data. Studies statistical inference, including confidence intervals,
Types I and II errors, hypothesis testing. Also includes descriptive statistics, basic
probability theory, the Central Limit Theorem, distributions, linear regression, and
correlation. May require use of a graphing calculator or computer software. Prerequisite:
10-834-110 with a grade of "C" or better, one year of high school algebra with a grade
of "C" or better, or suitable UW Math Placement Test score. Lecture. 3 credits.

20-804-236-00 Calculus and Analytic Geometry I

Covers limits and continuity of functions, the derivative, and its applications. Prerequisites:
20-804-224 and 20-804-228 with a grade of "C" or better, two years of high school
algebra with a grade of "C" or better and one year of trigonometry with a grade of
"C" or better, or suitable score on the UW Math Placement Test. Lecture. 5 credits.

20-804-237-00 Elementary Math Education II

Includes concepts of proportionality, statistics and probability, plane geometry,
the geometry of solids, and measurement. Prerequisite: 20-804-220 with a grade of
"C" or better, two years of high school algebra with a grade of "C" or better, or
suitable score on the UW Math Placement Test. Lecture. 4 credits.

20-804-240-00 Calculus and Analytic Geometry II

Covers transcendental functions, methods of integration, indeterminate forms, improper
integrals, Taylor's formula, infinite series, topics from analytic geometry, plane
curves, and polar coordinates. Prerequisite: 20-804-236 with a grade of "C" or better.
Lecture. 5 credits.

20-804-241-00 Calculus and Analytic Geometry III

Topics covered include differentiation of vectors, space curves and curvature, functions
of more than one variable, level curves and level surfaces, limits and continuity,
partial derivatives, total differential, tangent planes, the gradient operator, the
directional derivative, multivariable forms of the chain rule, locating maxima, minima,
saddle points, the method of Lagrange multipliers, multiple integrals in rectangular,
polar, cylindrical and spherical coordinates, transformations of multiple integrals
and the Jacobian, surface area, applications of multiple integrals to geometry and
mechanics, line integrals in two and three dimensions, vector fields, circulation
and flux in two dimensions, and Green's Theorem. Prerequisite: 20-804-240 with a grade
of "C" or better or suitable score on the UW Math Placement Test. Lecture. 5 credits.

20-804-250-00 Quantitative Reasoning

Intended to develop analytic reasoning and the ability to solve quantitative problems.
Topics to be covered include construction and interpretation of graphs, functional
relationships and mathematical modeling, descriptive statistics, basic probability,
geometry, and spatial visualizations. This is a suitable final mathematics course
for students who do not intend to take Calculus. Prerequisite: 20-804-220 with a grade
of "C" or better, two years of high school algebra with a grade of "C" or better,
or suitable score on the UW Math Placement Test or instructor consent. Lecture. 4
credits.

20-804-290-00 Topics in Mathematics

Pursues advanced or specialized mathematics topics in a traditionally structured,
independent study, or service learning format. Depending on the structure, requirements
and topics are developed in advance by the instructor or by the student in consultation
with the instructor. Lecture. 3 credits.

20-804-290-01 Differential Equations Linear Algebra

Differential equations are the fundamental tools that modern science and engineering
use to model physical reality. Linear algebra is a part of mathematics concerned with
the structure inherent in mathematical systems. Students will see that solutions of
certain differential equations in fact form a vector space, and techniques from linear
algebra will allow us to solve systems of linear differential equations. Topics covered
will include first order differential equations, differential models, linear systems
and matrices including solving systems of equations by Gaussian elimination, matrix
operations, determinants, vector spaces, higher order linear differential equations,
exponential methods with matrices, and nonlinear systems. Prerequisite: 20-804-240.
Lecture. 3 credits.

20-804-290-02 Topics in Advanced Calculus

Designed for students who can work independently, studying higher-level mathematical
principles in the field of calculus. Students will learn to interpret three-dimensional
coordinates, general level curves and level surfaces, compute limits of multivariate
functions, compute partial derivatives of multivariate functions, and evaluate double
and triple integrals. Lecture. 1 credit.