Mathematics Course Descriptions
As of the 1999-2000 WSC Catalog
MAT 110 Topics and Ideas in Mathematics (3) An introduction to the basic ideas of mathematics as they are related to the student in General Education. Consideration is given to such topics as sets, logic, prime numbers, congruencies, matrices, numeration systems, probability and statistics. (Not applicable to the major, minor or endorsement in mathematics. Intended for students whose course of study does not require extensive mathematical preparation or skills).
MAT 115 Intermediate Algebra (3) Prerequisite: one year of high school algebra or a “C-” grade or better in GST 102. Designed for the student with a limited algebra background but a solid foundation in computational arithmetic skills is expected. Study of ratios, proportions, sets, functions, number systems, simple equations, factoring, fractions, exponents, radicals, logarithms, algebraic manipulations.
MAT 116 College Algebra with Trigonometry (3) Prerequisite: two years of high school mathematics or a “C-” or better in MAT 115. Linear equations and inequalities, relations and functions, graphing of polynomials and rational functions, logarithms and exponential functions, systems of equations, trigonometric functions and their applications.
MAT 117 Applied Mathematics with Calculus (3) Prerequisite: two years of high school mathematics including one year of high school algebra or a “C-” or better in MAT 115. An introduction to modern and applied mathematics. Polynomials, and real functions, systems of linear equations and matrices, linear programming, differential calculus, integral calculus.
MAT 130 Pre-Calculus Mathematics (5) Prerequisite: A minimum of three years high school mathematics or a “C-” grade or better in MAT 116. A unified course which includes sets, relations, functions, operations, graphs, polynomials, sequences, field properties, algebraic expressions, systems of equations and inequalities, complex numbers, exponential, logarithmic, circular, trigonometric functions, and limits.
MAT 137 Applied Calculus (3) Prerequisite: 2 years high school algebra. An introduction to Calculus from an applied and intuitive point of view. Concepts include mathematical models, and problems that involve limits, derivatives, critical points differentiation and integration. Examples and applications encountered in the life and social sciences, as well as in business and economics.
MAT 140 Calculus with Analytic Geometry I (5) Prerequisite: “C-” grade or better in MAT 130 or equivalent high school background. An introduction to classical analytical geometry and calculus, including such topics as the derivative, the integral, the Mean Value Theorem, differentials, and applications of the definite integral.
MAT 210 Mathematics for Elementary School Teachers I (1 or 3) Elementary sets, set operations, Venn diagrams, relations, equivalence relations, functions, numeration systems, whole numbers, integers, algorithms, divisibility, primes, congruence, rationales, and reals. The one hour course MAT 210 may be applied to the mathematics endorsement.
MAT 215 Mathematics for Elementary School Teachers II (1 or 3) Prerequisite: MAT 210 or division consent. A continuation of MAT 210 to include symbolic logic, abstractions and representations, formal and informal geometry with metric and non-metric approaches. Points, lines, space, postulates, proof, congruence, parallelism, measurements with accuracy, precision, area, volume, the coordinate plane and graphs. The one hour course MAT 215 may be applied to the mathematics endorsement.
MAT 240 Calculus with Analytic Geometry II (5) Prerequisite: “C-” grade or better in MAT 140. A continuation of MAT 140 including transcendental functions, integration techniques, polar coordinates, vectors, and parametric equations.
MAT 300 Applied Probability and Statistics (3) Prerequisite: MAT 116 or 117 or equivalent mathematics background. A study which includes the binomial, normal, t-score, chi-square distributions and how they are related to testing hypothesis. The analysis of variance, least squares fit, correlation coefficient, mathematical expectation and how these topics are related to probability and decision making.
MAT 305 Discrete Mathematics (3) A survey of elementary discrete mathematics. Topics include set theory, relations, functions, elementary graph theory, including directed graphs and trees and selected graph algorithms. Algebraic structures including groups, lattices, elementary combinatorics, permutations and combinations will be studied.
MAT 315 Mathematics for Elementary Teachers III (1 or 3) Prerequisites: C- grade or better in both MAT 210 and 215 or division consent. The course will utilize current models and various manipulative materials for teaching elementary mathematics concepts. Connections between a variety of mathematics topics such as algebra-geometry, probability-statistics, equations-inequalities, and functions-transformations of graphs will be stressed. Computers, calculators, and manipulatives will provide the tools for the mathematics concept development stressed throughout the course. The one hour course MAT 315 may be applied to the mathematics endorsement.
MAT 320 College Geometry (3) Prerequisite: MAT 140 or consent of instructor. Formal Euclidean geometry with emphasis on the function concept. Introduction to finite and non-Euclidean geometries. Introduction to transformations including isometrics, similarities, and inversion.
MAT 340 Calculus III (4) Prerequisite: “C-” grade or better in MAT 240. A continuation of MAT 240 including solid analytic geometry, partial differentiation, multiple integrals, and infinite series.
MAT 350 Linear Algebra (3) Prerequisite: MAT 240 or division consent. An introduction to matrix algebra which includes the inversion of a matrix, rank of matrix and characteristic roots of a matrix, bilinear, quadratic and hermitian forms, vector spaces, linear transformations, unitary and orthogonal transformations and linear dependence.
MAT 360 Introduction to Abstract Algebra (3) Prerequisite: MAT 240 or division consent. A basic introduction to abstract algebraic systems to include Abelian and non-Abelian groups, rings, division rings, integral domains, and finite fields.
MAT 410 Probability and Statistics (3) Prerequisite: MAT 240 or division consent. The mathematical development of discrete and continuous probability distributions including multivariate distributions, moments and moment generating functions, the normal distribution, sampling distributions and hypothesis testing.
MAT 440 Numerical Analysis (3) Prerequisite: MAT 240. An introduction to numerical solutions to problems. Topics to include solution of equations, interpolation and approximation of polynomials, numerical differentiation and integration, summation of series, and use of orthogonal polynomials.
MAT 450 Differential Equations (3) Prerequisite: MAT 240.
Solution of linear equations, equations of the second order, partial differential
equations and applications.
| Mathematics Department Main Page | Math/Science Division Home Page | Wayne State College Home Page |
This page was first posted on February 14, 2000. It is maintained by Tami Worner at Wayne State College