Course Descriptions
The following are descriptions of courses offered by the Department
of Mathematics at the University of Wisconsin Colleges. Please note that
each Campus may offer only a selection from the courses listed here.
| MAT 081 | 3.00 | Designed for students who have not had high school geometry. Includes methods of proof, properties of simple plane figures, congruence, and similarity. Course does not carry degree credit. |
| MAT 085 | 3.00 | Designed for students who have not had high school geometry. Includes methods of proof, properties of simple plane figures, congruence, and similarity. This course is offered through a contractual arrangement with the local WTCS institution. |
| MAT 087 | 3.00 | Designed for students who have not had high school geometry. Includes methods of proof, properties of simple plane figures, congruence, and similarity. This course is offered by the campus TRIO/minority/disadvantaged program. |
| MAT 091 | 4.00 | Intended for students with little or no previous algebra. Topics include the real number system and operations with real numbers and algebraic expressions, linear equations and inequalities, polynomials, factoring, and introduction to quadratic equations. Course does not carry degree credit. |
| MAT 092 | 3.00 | Designed for students with minimum algebra background or who have been away from mathematics for several years. Subject areas to be covered include arithmetic of whole numbers, fraction and decimals, ratios and percents, and basic algebraic concepts. Prepares the student for MAT 095. This course is offered through a contractual arrangement with the local WTCS institution. |
| MAT 094 | 3.00 | Designed for students with minimum algebra background or who have been away from mathematics for several years. Subject areas to be covered include arithmetic of whole numbers, fraction and decimals, ratios and percents, and basic algebraic concepts. Prepares the student for MAT 097. This course is offered by the campus TRIO/minority/disadvantaged program. |
| MAT 095 | 4.00 | Intended for students with little or no previous algebra. Topics include the real number system and operations with real numbers and algebraic expressions, linear equations and inequalities, polynomials, factoring, and introduction to quadratic equations. This course is offered through a contractual arrangement with the local WTCS institution. |
| MAT 097 | 4.00 | Intended for students with little or no previous algebra. Topics include the real number system and operations with real numbers and algebraic expressions, linear equations and inequalities, polynomials, factoring, and introduction to quadratic equations. This course is offered by the campus TRIO/minority/disadvantaged program. |
| MAT 105 | 4.00 | Emphasizes algebraic techniques
with polynomials, fractional expressions, exponents and radicals, linear
and quadratic equations, and inequalities. Introduction to functions, their
graphs, and analytic geometry.
Prereq: A grade of C or better in Elementary Algebra and a high school geometry course, or one year of high school algebra and one year of high school geometry, or one year of high school algebra and concurrent registration in a geometry course, or equivalent. PR. |
| MAT 108 | 3.00 | This course is intended to develop
analytic reasoning and the ability to solve quantitative problems. Yopics
to be covered include construction and interpretation of graphs, functional
relationships, descriptive statistics, geometry and spatial visualization,
math of finance, exponential growth, and basic probability. Appropriate
use of units and dimensions, estimates, mathematical notation and available
technology will be emphasized throughout the course.
Prereq: a course in plane geometry and one of the following: (a) two years of high school algebra, (b) a grade of C- or better in MAT 105, (c) course(s) equivalent to (a) or (b). MS. |
| MAT 110 | 3.00 | Definition of function; linear
and non-linear functions and graphs including logarithmic and exponential
functions; systems of linear equations; theory of polynomial equations,
and optional topics such as mathematical induction, matrix solution of
linear systems, and Cramer's rule.
Prereq: a course in plane geometry and one of the following: (a) a grade of C- or better in MAT 105, (b) two years of high school algebra, (c) course(s) equivalent to (a) or (b). NMS/MS. |
| MAT 113 | 2.00 | Trigonometric functions, their
basic properties and graphs, equations, solutions of triangles.
Prereq: a course in plane geometry and one of the following: (a) a grade of C- or better in MAT 110 or equivalent; (b) concurrent registration in MAT 110. NMS/MS. |
| MAT 117 | 3.00 | The primary aim of the course
is a basic understanding and use of statistical concepts and methods to
facilitate study and research in other disciplines. Includes measures of
central tendency, measures of variability, grouped data, the normal distribution,
central limit theorem, hypothesis testing, estimation, T-distribution,
and chi square test.
Prereq: a grade of C- or better in MAT 105 or equivalent. NMS/MS. |
| MAT 124 | 5.00 | Functions and graphs, including
linear, polynomial, logarithmic, and exponential functions; complex numbers
and theory of equations; binomial theorem; mathematical induction; trigonometric
functions, their basic properties, and graphs; identities; inverse trigonometric
functions; solving trigonometric equations; de Moivre's theorem.
Prereq: a grade of C- or better in MAT 105 or equivalent. Students may not earn more than five credits of any combination of MAT 110, MAT 113, and MAT 124. NMS/MS. |
| MAT 130 | 4.00 | A mathematics content course for
prospective elementary teachers. Emphasis is on development of properties
of arithmetic. Topics also may include elementary concepts of algebra,
probability, and statistics. Four hours lecture or three hours lecture
and two hours laboratory per week.
Prereq: a grade of C- or better in MAT 105, or two years of high school algebra and one year of high school geometry, or cons. instr. NMS/MS/SQ(132). |
| MAT 132 | 4.00 | A continuation of MAT 130 with
emphasis on geometric concepts. Topics also may include concepts of algebra,
probability, and laboratory per week.
Prereq: high school algebra and geometry. NMS/MS/SQ(130). |
| MAT 140 | 3.00 | A course emphasizing the nature
of mathematics, an appreciation of mathematical concepts and reasoning,
and the development of mathematical systems. It is not intended as preparation
for other mathematics courses.
NMS/MS. |
| MAT 210 | 4.00 | Matrices, linear programming and
applications, probability, Markov chains, and mathematics of finance.
Prereq: a grade of C- or better in MAT 110 or MAT 124 or equivalent. NMS/MS/SQ(211). |
| MAT 211 | 4.00
or 5.00 |
Primarily for students in business,
the social sciences, and biological sciences who wish to acquire some knowledge
of the techniques and applications of calculus. Topics include concepts,
techniques, and applications of differential and integral calculus including
multivariate calculus. Students who are preparing to major in mathematics,
engineering, or physical sciences should enroll in the MAT 221, MAT 222,
and MAT 223 sequence.
Prereq: a grade of C- or better in MAT 110 or MAT 124 or equivalent. Students may not earn more than six credits by taking both MAT 211 and MAT 221 NMS/MS/SQ(210). |
| MAT 220
currently not
|
1.00 | This course uses computer techniques
to analyze instructor-selected topics from calculus such as location of
roots, approximation of function limits, approximation of f'(x), location
of extreme values, integral approximations and applications, and polynomial
series approximation of functions.
Prereq: a grade of C- or better or concurrent enrollment in MAT 221 or MAT 211 or equivalent. May be taken for repeated credit with concurrent enrollment in MAT 222 or 223. NMS/MS. |
| MAT 221 | 5.00 | Analytic geometry, functions,
limits and continuity, the derivative, integrals, techniques and applications
of differentiation, applications of integration, logarithmic and exponential
functions, and trigonometric functions.
Prereq: a grade of C- or better in MAT 124 or MAT 110 and MAT 113 or equivalent. Students may not earn more than six credits by taking both MAT 211 and MAT 221. NMS/MS/SQ(222). |
| MAT 222 | 5.00 | Continuation of 221. Techniques
of integration, polar coordinates, conic sections, infinite series, and
vectors of two and three dimensions. Note: the order of topics covered
in MAT 221 and MAT 222 may depend on the text used and the instructor.
Prereq: a grade of C- or better in MAT 221. NMS/MS/SQ(221 or 223). |
| MAT 223 | 5.00 | Continuation of MAT 222. Analytic
geometry of three dimensions, functions of several variables, partial differentiation,
multiple integration, and introduction to differential equations.
Prereq: a grade of C- or better in MAT 222. NMS/MS/SQ(222). |
| MAT 224 | 4.00 | Introduction to linear algebra,
vector spaces, matrices, linear transformations, and eigenvalues. Ordinary
differential equations and linear systems of differential equations. Laplace
transforms.
Prereq: a grade of C- or better in MAT 223 or equivalent. NMS/MS. |
| MAT 230 | 3.00 | An introduction to discrete mathematics
with emphasis on topics applicable to computer science. Topics include
symbolic logic, sets and relations, induction and recursion, counting techniques,
algorithm analysis, graphs and digraphs, and Boolean algebra.
Prereq: a grade of C- or better in MAT 113, MAT 124, MAT 211 or equivalent. NMS/MS. |
| MAT 240 | 3.00 | Elements of probability theory;
collection and presentation of sample data; basic problems of statistical
inference; applications, including quality control; regression; and hypothesis
testing.
Prereq: a grade of C- or better in MAT 211, MAT 221, or equivalent. NMS/MS. |
| MAT 262 | 3.00 | Matrix algebra, linear systems
of equations, vector spaces, subspaces, linear dependence, rank of matrices,
determinants, linear transformations, eigenvalues and eigenvectors, diagonalization,
inner products and orthogonal vectors, and symmetric matrices.
Prereq: a grade of C- or better in MAT 222. NMS/MS. |
| MAT 271 | 3.00 | Review of ordinary differential
equations of the first and second order, series solutions, higher order
linear equations, the Wronskian, Laplace transform and applications, numerical
methods, boundary value problems, and Sturm-Liouville theory.
Prereq: a grade of C- or better in MAT 223. NMS/MS. |
| MAT 272 | 1.00 | This course will acquaint engineering
students with Fourier methods in solving differential equations. Emphasis
is on input-output techniques and may involve further applications of Laplace
transforms and other topics.
Prereq: a grade of C- or better in MAT 223 and either MAT 271 or MAT 224 or MAT 223 and concurrent registration in MAT 271 or MAT 224. NMS/MS. |
| MAT 290 | 3.00 | A course focusing on a selected
topic or set of topics selected by the instructor to meet special needs
and interests of students.
Prereq: a grade of C- or better in MAT 124 or MAT 211 or equivalent, and cons. instr. |
| MAT 299 | 1.00 | Prereq: Sophomore standing and cons. instr. * |
M. Maheswaran, Department of Mathematics, UWMC
Last updatedApril 28, 1999..