St. Clair County Community College 2005-2006 Catalog
MATHEMATICS
Math and Science Department 810-989-5663
Students interested in electing mathematics courses should carefully examine the prerequisites for each course. A math assessment test is administered by the Counseling Department to guide students in selection of their initial course.
MTH 050 Basic Mathematics. This course covers topics including whole numbers, decimals, fractions, and percents. It is designed for students who need review on these topics.
Prerequisite: None
3 credits = 3 lecture MTH 101 Pre-Algebra. This course is a review of the basic operations of arithmetic on whole numbers, fractions and decimals. Algebraic concepts are integrated within the topics, enhancing the transition from arithmetic to algebra. The basic concepts of algebra are introduced, such as signed numbers, expressions and equations. Topics from geometry include formulas for area and perimeter, properties of lines and angles, and applications of problems involving geometry. Students will be introduced to statistics by pictographs, bar, line, pie charts and tables, mean, median and mode.
Prerequisite: MTH 050 or appropriate placement by our college assessment or ACT score
5 credits = 5 lecture
MTH 102 Elementary Algebra. This course is an introduction to basic algebra. Topics include a review of arithmetic operations, literal numbers, algebraic expressions, operations with polynomials, special products and factoring, exponents, linear equations, inequalities and an introduction to quadratic equations. The course is intended for students enrolled in occupational programs as well as for students who have not had high school algebra.
Prerequisite: MTH 101 or appropriate placement by our college assessment or ACT score
5 credits = 5 lecture MA CT
MTH 103 Geometry. Topics considered are logic, deductive reasoning and basic concepts of geometry, including angles, lines, triangles, parallel lines, polygons, and circles.
Prerequisite: MTH 102 or appropriate placement by our college assessment or ACT score
3 credits = 3 lecture MA CT
MTH 104 Foundations of Math. This course will allow students to discover some of the mathematics that they use on a daily basis. They will consider some of the greatest ideas that were founded by mathematicians. Students will be actively involved in investigations of mathematics to help them attain a better understanding of mathematical ideas, build sharper skills for analyzing life issues that stem from mathematics and develop a new perspective and outlook at the way they view the world involving mathematics. Fall semester only.
Prerequisite: MTH 102 or appropriate placement by our college assessment or ACT score
3 credits = 3 lecture MA CT
MTH 105 Foundations of Math I for Elementary Education. This course covers concepts and structures of mathematics including sets, logic, numeration systems, whole numbers, integers, rational numbers and real numbers. The course is designed for prospective elementary teachers.
Prerequisite: MTH 102 or appropriate placement by our college assessment or ACT score
3 credits = 3 lecture MA CT MTH 106 Foundations of Math II for Elementary Education. Topics included in this course are concepts from algebra and geometry that are applicable in elementary school mathematics. This course is a continuation of MTH 105.
Prerequisite: MTH 105 or concurrent enrollment in MTH 105
3 credits = 3 lecture MA CT
MTH 110 Intermediate Algebra. This course consists of a review of elementary algebraic operations, polynomials, factoring, linear and quadratic equations, exponents, radicals, fractions, fractional equations, functions and graphs, systems of equations and logarithms. Students may receive credit for MTH 110 and MTH 111 or MTH 112.
Prerequisite: MTH 102 or appropriate placement by our college assessment or ACT score
4 credits = 4 lecture MA CT
MTH 111 Plane Trigonometry. The content of this course will be a review of selected topics from plane geometry, radian and degree measures, definitions and properties of trigonometric functions, identities, trigonometric equations, graphs, identities involving composite angles, laws of sines and cosines, and the solution of triangles. Students may receive credit for MTH 110 and MTH 111 or MTH 112. For those students who intend to take calculus, this course should be taken prior to or concurrently with MTH 113.
Prerequisite: MTH 110, or appropriate placement by our college assessment or ACT score
2 credits = 2 lecture MA CT
MTH 112 Intermediate Algebra and Plane Trigonometry. This is an integrated algebra/trigonometry course covering the topics of MTH 110 and MTH 111 but at a slightly accelerated pace. It is intended for those students who want to satisfy the prerequisites for MTH 113 in one semester. A maximum of six credits will be allowed for any combination of MTH 110 and MTH 111 or MTH 112.
Prerequisite: MTH 102, or appropriate placement by our college assessment or ACT score
5 credits = 5 lecture MA CT
MTH 113 Pre-Calculus Mathematics. This course includes set concepts, real and complex number systems, regression, function concepts, graphical representations, polynomial functions and theory of equations, exponential and logarithmic functions, trigonometric functions and their applications, systems of equations, matrices and determinants.
Prerequisite: MTH 110 and MTH 111 or MTH 112, or appropriate placement by our college assessment or ACT score
4 credits = 4 lecture MA CT
MTH 113H Honors Precalculus Mathematics. CURRENTLY INACTIVE. See note at the end of the course listings.
MTH 114 Analytic Geometry and Calculus I. This course will be a review of absolute values and inequalities, the straight line, circle, functions, limits, continuity, differentiation of algebraic and trigonometric functions, curve sketching, applications of the derivative, differentials, and the definite integral.
Prerequisite: MTH 113 or appropriate placement by our college assessment or ACT score
4 credits = 4 lecture MA CT
MTH 120 Introduction to Statistics. Topics covered include the uses and abuses of data, presentation and analysis of data using technology, measures of central tendency and dispersion, probability, types of distributions (Binomial, Poisson, normal, students t), sampling and sampling distributions, testing hypotheses, estimation, regression and correlation. This is a beginning course in statistics that will be beneficial to students majoring in any field in which measurements and predictions are made.
Prerequisite: MTH 110 or MTH 112 or appropriate placement by our college assessment or ACT score
4 credits = 4 lecture MA CT
MTH 153 Technical Math/Applied Algebra and Trigonometry I. CURRENTLY INACTIVE. See note at the end of the course listings.
MTH 204 Technical Math/Applied Algebra and Trigonometry II. CURRENTLY INACTIVE. See note at the end of the course listings.
MTH 205 Technical Math/Applied Calculus and Analytic Geometry. CURRENTLY INACTIVE. See note at the end of the course listings.
MTH 210 Linear Algebra. The content of this course will be matrices, linear systems, basis, dimensions, vector spaces, dot and cross products, eigenvalues and eigenvectors, and linear transformations. Fall semester only
Prerequisite: MTH 215 or concurrent enrollment in MTH 215
3 credits = 3 lecture MA CT
MTH 215 Analytic Geometry and Calculus II. Topics studied include vectors in the plane, trigonometric, exponential, logarithmic, and hyperbolic functions, conic sections, formulas and methods of integration and applications of the integral. This course is a continuation of MTH 114.
Prerequisite: MTH 114 or appropriate placement by our college assessment or ACT score
4 credits = 4 lecture MA CT
MTH 216 Analytic Geometry and Calculus III. Topics studied include polar coordinates, indeterminate forms, infinite series, solid analytic geometry, three dimensional vectors, partial derivatives, multiple integrals, and line integrals. This is a continuation of MTH 215.
Prerequisite: MTH 215
4 credits = 4 lecture MA CT
MTH 217 Differential Equations. Topics covered include first order differential equations, linear differential equations with constant coefficients, non-homogeneous equations, variations of parameters, the Laplace transform and inverse transforms, and series solutions. Winter semester only.
Prerequisite: MTH 216 or MTH 215 with permission of instructor
4 credits = 4 lecture MA CT
NOTE: CURRENTLY INACTIVE classes may be offered in the future. If students are interested in having a currently inactive course listed in the fall, winter, spring or summer schedule, contact the department chair or an instructor in the appropriate area.