Georgia Highlands College
Course Descriptions for Mathematics
Updated March 2012
MATH 0097: Elementary Algebra
4-0-4. Prerequisite: none
This course is a review of elementary algebra. Topics include real numbers, exponents, polynomials, equation solving and factoring.
MATH 0099: Intermediate Algebra
4-0-4. Prerequisite: Satisfactory placement scores/MATH 0097
This course is a review of intermediate algebra. Topics include numbers, linear equations and inequalities, quadratic equations, polynomials and rational expressions and roots. Students must pass the class with a C or better and pass the statewide exit examination.
MATH 1001: Quantitative Skills and Reasoning
3-0-3. Prerequisite: Satisfactory placement scores/MATH 0099; recommended
Pre/co requisites: ENGL 0099 and/or READ 0099
This course places quantitative skills and reasoning in the context of experiences that students will be likely to encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing and understanding which conclusions can be reasonably determined. Topics covered include sets and set operations, logic, basic probability, data analysis, linear models, quadratic models and exponential and logarithmic models. This course is an alternative in area A of the core curriculum and is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the Calculus sequences for mathematics and science majors. Students receive credit toward graduation for only one of the following courses: MATH 1001, MATH 1111.
MATH 1071: Mathematics I
3-0-3. Prerequisite: Satisfactory placement scores/MATH 0097
This course in practical mathematics is suitable for students in many career and certificate programs. Topics covered include a review of basic algebra, ratio and proportion, percent, graphing, consumer mathematics and the metric system.
MATH 1111: College Algebra
3-0-3. Prerequisite: Satisfactory placement scores/MATH 0099
This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions and their graphs, inequalities, and linear, quadratic, piece-wise defined, rational, polynomial, exponential and logarithmic functions. Appropriate applications will be included. This course is an alternative in Area A of the core curriculum and does supply sufficient algebraic background for students who intend to take Precalculus or the Calculus sequences for mathematics and science majors. Students receive credit toward graduation for only one of the following courses: MATH 1001, MATH 1111.
MATH 1113: Precalculus
3-0-3. Prerequisite: MATH 1111 with a grade of C or better
This course is designed to prepare students for calculus, physics and related technical subjects. Topics include an intensive study of algebraic and trigonometric functions accompanied by analytic geometry as well as DeMoivreís theorem, polar coordinates and conic sections. Appropriate technology is utilized in the instructional process.
MATH 2008: Foundations of Numbers and Operations
3-0-3. Prerequisite: Math 1001, Math 1101, Math 1111, or Math 1113
This course is an Area F introductory mathematics course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of number and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics.
MATH 2200: Elementary Statistics
3-0-3. Prerequisites: MATH 1001/MATH 1111
This is a basic course in statistics at a level that does not require knowledge of calculus. Statistical techniques needed for research in many different fields are presented. Course content includes descriptive statistics, probability theory, hypothesis testing, ANOVA, Chi-square, regression and correlation.
†MATH 2261: Calculus I
4-0-4. Prerequisite: MATH 1113 with a grade of C or better
This course includes a study of functions, limits, derivatives, continuity, the chain rule, implicit differentiation, related rates, differentials, local extrema, graphing techniques, monotonicity, concavity, max-min applications, infinite limits, the mean value theorem, antiderivatives, differential equations, sigma notation, the definite integral and areas in the plane.
MATH 2262: Calculus II
4-0-4. Prerequisite: MATH 2261
In this course volumes of solids, arc lengths, surface area, work, fluid force, moments, exponential functions, logarithmic functions, inverse trigonometric functions, hyperbolic functions and their inverses, techniques for integration, indeterminate forms, LíHopitalís rule, improper integrals, Taylor approximations, error estimates, numerical integration, fixed-point methods, infinite series and power series are studied.
MATH 2263: Calculus III
4-0-4. Prerequisite: MATH 2262
Conic sections, translation and rotation of axes, polar coordinates, parametric equations, vectors in the plane and in three-space, the cross product, cylindrical and spherical coordinates, surfaces in three-space, vector fields, line and surface integrals, Stokeís theorem, Greenís theorem and differential equations are studied in this course.
MATH 2280: Discrete Mathematics
3-0-3. Prerequisite: MATH 1113 with a grade of C or better or permission of the instructor or permission of the academic dean.
Includes mathematical elements of computer science such as propositional logic, predicate logic, sets, functions and relations, algorithms, combinatorics, probability, mathematical induction, recursion, elementary graph theory, trees, and Boolean logic.