CGS MAT 81 Topics in Geometry
0 cr.
Designed for students who have not had high school geometry. Includes methods of proof, properties of simple plane figures, congruence, and similarity.
Prerequisites: none.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 91 Elementary Algebra
0 cr.
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.
Prerequisites: none.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 92 Mathematical Literacy for College Students I
0 cr.
Introduction to numeracy, proportional reasoning, algebraic reasoning, and functions. Emphasis on developing conceptual and procedural tools that support the use of key mathematical concepts in context.
Prerequisites: none.
Course Rules: Students must enroll in corresponding section of CGS MAT 102. Not recommended for students planning to take Calculus. Students registering after classes have begun will have missed class sessions counted against their attendance for this course.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 98 Algebraic Literacy I
0 cr.
Arithmetic number systems; linear equations, inequalities; exponent notation, radicals; polynomials, operations, factoring; modeling; coordinate geometry; linear systems; quadratic equations.
Prerequisites: Math Placement Level 10.
Course Rules: Students must enroll in corresponding section of CGS MAT 108. Students registering after classes have begun will have missed class sessions counted against their attendance for this course.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 99 Mathematics Tutorial
0 cr.
Highly interactive format providing mathematics instruction and instilling study skills and strategies for succeeding in mathematics courses.
Prerequisites: Concurrent enrollment in any math course from CGS MAT 090 to CGS MAT 124.
Course Rules: CGS MAT 099 is intended for students concurrently enrolled in any mathematics course from CGS MAT 090 to CGS MAT 124.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 101 Introduction to College Algebra
3-4 cr.
UW COLLEGE COURSES ONLINE AND ASSOCIATE FLEX PROGRAM ONLY. Algebraic techniques with polynomials, fractional expressions, exponents and radicals, linear and quadratic equations, and inequalities. Introduction to functions, their graphs, and analytic geometry.
Prerequisites: grade of C or better in Elementary Algebra or CGS MAT 103A or placement based on placement test score.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 102 Mathematical Literacy for College Students II
3 cr.
Continuation of CGS MAT 92, with an integrated approach to numeracy, proportional reasoning, algebraic reasoning, and functions.
Prerequisites: none.
Course Rules: Students must register in the corresponding section of CGS MAT 92.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 103 Contemporary Applications of Mathematics
3 cr.
Course focuses on analytic reasoning and quantitative problem solving. Topics include construction and interpretation of graphs, functional relationships, descriptive statistics, geometry and spatial visualization, math of finance, exponential growth, voting theory, and basic probability.
Prerequisites: Math Placement Level 10.
Course Rules: Not recommended for students planning to take Calculus.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 104 Quantitative Reasoning
3 cr.
UW COLLEGE COURSES ONLINE ONLY. This course is intended to develop analytic reasoning and the ability to solve quantitative problems. Topics 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.
Prerequisites: a two years of high school algebra, b a grade of C or better in MAT 103B or MAT 105 or c courses equivalent to a or b.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 105 Introduction to College Algebra
3 cr.
Algebraic techniques with polynomials, rational expressions, equations and inequalities, exponential and logarithmic functions, rational exponents, systems of linear equations.
Prerequisites: Math Placement Level 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) Grade of C or better in CGS MAT 98; or (c) ACT math subscore of 24 or higher.
Course Rules: Counts as repeat of CGS MAT 108.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 108 Algebraic Literacy II
3 cr.
Continuation of CGS MAT 98 in polynomials, equations, and inequalities; exponential, logarithmic, and periodic functions; rational expressions and exponents; and systems of linear equations.
Prerequisites: Math placement Level 10.
Course Rules: Students must register in the corresponding section of CGS MAT 98. Counts as repeat of CGS MAT 105.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 110 College Algebra
3 cr.
Definition of function and sequence; linear and nonlinear functions and graphs including logarithmic and exponential functions; systems of linear equations and Gauss-Jordan method; theory of polynomial equations; conic sections and optional topics such as mathematical induction, matrix solution of linear systems and Cramer's rule.
Prerequisites: A grade of C or better in CGS MAT 103B or CGS MAT 101 or placement based on placement test score.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 113 Trigonometry
2 cr.
UW COLLEGE COURSES ONLINE ONLY. Trigonometric functions, their basic properties and graphs, identities, inverse trigonometric functions, solving trigonometric equations, solutions of triangles.
Prerequisites: a grade of C or better in CGS MAT 110(P); or concurrent registration in CGS MAT 110(C); or placement based on placement test score.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 115 Precalculus
4 cr.
Essential topics from college algebra and trigonometry for students intending to enroll in calculus.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35, or 36 on Math Placement Test; (b) grade of C or better in CGS MAT 105, CGS MAT 108, or CGS MAT 116; (c) score of 5 or higher on the IB Mathematical Studies - SL; (d) score of 3 or higher on the AP statistics exam; or (e) score of 63 or higher on the CLEP College Algebra Exam.
Course Rules: Repeats two credits of CGS MAT 116 and two credits of CGS MAT 117.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 116 College Algebra
3 cr.
Definition of function and sequence; linear and nonlinear functions and graphs including logarithmic and exponential functions; systems of linear equations and Gauss-Jordan method; theory of polynomial equations; conic sections and optional topics.
Prerequisites: Math Placement Level 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) Grade of C or better in CGS MAT 94, CGS MAT 95, or CGS MAT 98; (c) ACT math subscore of 24 or higher.
Course Rules: Two credits may be used to repeat two credits of CGS MAT 115.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 117 Trigonometry
2 cr.
Trigonometric functions; graphs, identities, equations, inequalities; inverse trigonometric functions; solutions of triangles with applications; complex numbers; polar coordinates.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35, or 36 on Math Placement Test; (b) grade of C or better in CGS MAT 105, CGS MAT 108, or CGS MAT 116; (c) score of 5 or higher on the IB Mathematical Studies - SL; (d) score of 3 or higher on the AP statistics exam; or (e) score of 63 or higher on the CLEP College Algebra Exam.
Course Rules: Repeats 2 credits of MATH 115.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 124 Pre-Calculus Mathematics
5 cr.
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.
Prerequisites: A grade of C or better in CGS MAT 103B or CGS MAT 105 or placement based on placement test score.
Course Rules: Students may not earn more than five credits of any combination of CGS MAT 110, CGS MAT 113 and CGS MAT 124.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 130 Mathematics for Elementary Teachers
4 cr.
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.
Prerequisites: A grade of C or better in CGS MAT 103B or CGS MAT 105 or CGS MAT 108, or two years of high school algebra and one year of high school geometry, or cons. instr.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 132 Geometry for Elementary Teachers
4 cr.
The course emphasizes geometric concepts. Topics also may include concepts of algebra, probability and statistics. Four hours lecture or three hours lecture and two hours laboratory per week.
Prerequisites: A grade of C or better in CGS MAT 130B or CGS MAT 105 or CGS MAT 108, or two years of high school algebra and one year of high school geometry, or cons. instr.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 175 Mathematical Explorations for Elementary Teachers I
3 cr.
Theory of arithmetic of whole numbers, fractions, and decimals. Introduction to algebra, estimation and problem-solving strategies.
Prerequisites: A grade of C or better in CGS MAT 102, CGS MAT 103, CGS MAT 108, or Math Placement Level at least 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) ACT math subscore of 24 or higher.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 176 Mathematical Explorations for Elementary Teachers II
3 cr.
A continuation of CGS MAT 175 in geometry, statistics, and probability.
Prerequisites: Grade of C or better in CGS MAT 102, CGS MAT 103, or CGS MAT 108, or Math Placement Level at least 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) ACT math subscore of 24 or higher.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 211 Calculus
4-5 cr.
Primarily for students in business, the social sciences, and biological sciences who wish to acquire some knowledge of the techniques and applications of calculus. Concepts, techniques, and applications of differential and integral calculus including multivariate calculus.
Prerequisites: grade of C or better in CGS MAT 110 or CGS MAT 124 or equivalent, or placement based on placement test score.
Course Rules: Students who are preparing to major in mathematics, engineering, or physical sciences should enroll in the CGS MAT 221-MAT 222 sequence. Students may not earn more than six credits by taking both CGS MAT 211 and CGS MAT 221.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 215 Elementary Statistical Analysis
3 cr.
Elementary probability theory; descriptive statistics; sampling distributions; basic problems of statistical inference including estimation; tests of statistical hypothesis in both one- and two- sample cases.
Prerequisites: Math Placement Level 30 or higher, or a grade of C or better in CGS MAT 102, CGS MAT 103, CGS MAT 105, CGS MAT 108, CGS MAT 115, or CGS MAT 116.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 221 Calculus and Analytical Geometry I
5 cr.
Analytic geometry, functions, limits and continuity, the derivative, integrals, techniques and applications of differentiation, applications of integration, logarithmic and exponential functions, and trigonometric functions.
Prerequisites: A grade of C or better in CGS MAT 124 or CGS MAT 110 and CGS MAT 113 or equivalent, or placement based on placement test score.
Course Rules: Students may not earn more than six credits by taking both CGS MAT 211 and CGS MAT 221.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 222 Calculus & Analytical Geometry II
5 cr.
UW COLLEGE COURSES ONLINE ONLY. Continuation of CGS MAT 221. Techniques of integration, polar coordinates, conic sections, infinite series, and vectors of two and three dimensions.
Prerequisites: A grade of C or better in CGS MAT 221, or placement based on the department Calculus Proficiency Test or AP exam.
Course Rules: The order of topics covered in CGS MAT 221 and CGS MAT 222 may depend on the text used and the instructor.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 223 Calculus & Analytical Geometry III
4-5 cr.
UW COLLEGE COURSES ONLINE ONLY. Continuation of CGS MAT 222. Analytic geometry of three dimensions, functions of several variables, partial differentiation, multiple integration, and introduction to differential equations.
Prerequisites: a grade of C or better in CGS MAT 222 or equivalent.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 228 Statistical Analysis
3 cr.
Elements of probability theory; collection and presentation of sample data; basic problems of statistical inference; applications, including quality control; regression; and hypothesis testing.
Prerequisites: grade of C or better in CGS MAT 211, CGS MAT 221, or equivalent.
General Education Requirements: MS
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 229 Linear Algebra
3 cr.
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.
Prerequisites: A grade of C or better in CGS MAT 222.
General Education Requirements: MS
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 232 Calculus and Analytic Geometry II
4 cr.
Continuation of CGS MAT 221. Applications of integration, techniques of integration; infinite sequences and series; parametric equations, conic sections, and polar coordinates.
Prerequisites: grade of C or better in CGS MAT 221.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 233 Calculus and Analytic Geometry III
4 cr.
Continuation of CGS MAT 232. Three-dimensional analytic geometry and vectors; partial derivatives; multiple integrals; vector calculus, with applications.
Prerequisites: grade of C or better in CGS MAT 232.
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 234 Calculus of Several Variables
3-4 cr.
UW COLLEGE COURSES ONLINE ONLY. Continuation of CGS MAT 222. Analytic geometry of three dimensions, functions of several variables, and multiple integration.
Prerequisites: grade of C or better in CGS MAT 222 or equivalent.
Course Rules: Equivalent to CGS MAT 223 without differential equations. Students may not receive credit for both CGS MAT 223 and CGS MAT 234.
General Education Requirements: MS
Current Offerings: https://catalog.uwm.edu/course-search/
CGS MAT 271 Ordinary Differential Equations
3 cr.
Ordinary differential equations of the first and second order, series solutions, higher order linear equations, the Wronskian, Laplace transform and applications, numerical methods and boundary value problems.
Prerequisites: A grade of C or better in CGS MAT 222.
General Education Requirements: MS
Current Offerings: https://catalog.uwm.edu/course-search/