Georgia Highlands College

Course Descriptions for Mathematics

Updated March 2012

__MATHEMATICS__

**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 0099C: ****Intermediate Algebra Co-requisite**

2-0-2. Prerequisite: COMPASS score of 37 or higher and permission of instructor

This course is a supplement to Math 1111 and designated as a support to students taking College Algebra concurrently. Topics covered will be prerequisites to MATH 1111 taken on an as-needed basis and embedded into College Algebra material. The course content will focus on developing mathematical maturity through conceptual understanding and mastery of foundational skills. For students in MATH 0099 C with COMPASS placement math scores below 40, attendance in Math 1111 is mandatory; after three absences, the student will be automatically dropped from the course and receive a grade of W or WF.

**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 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 DeMoivre’s 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 2040: Applied Calculus**

3-0-3. Prerequisite: MATH 1111 with a grade of C or better

Differential and integral calculus of algebraic, logarithmic, and exponential functions, applications to social sciences, business, and economics, such as maximum-minimum problems, marginal analysis, and exponential growth models. This course is designed for those students for whom the standard calculus sequence is not required.

**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, L’Hopital’s 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, Stoke’s theorem, Green’s 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.

**MATH 2285: ****Linear Algebra**

3-0-3. Prerequisite: MATH 2262 with a C or better or permission of the instructor or permission of the academic dean.

An introduction to linear algebra and its applications. Includes linear systems, matrices, determinants, vector spaces and their subspaces, linear independence, linear transformations, inner products, eigenvalues and eigenvectors. Intended primarily for students pursuing degrees in mathematics, computer science, physics, or engineering.

**GHMA 2901: Special Topics**

Variable credit (1 - 3 semester hours credit) Prerequisite: READ 0099

Special interest courses, which may not be transferable, are offered in response to student demand and interest. In these courses, through oral or written communication, students will demonstrate the ability to synthesize information and articulate knowledge on issues relating to culture, society, creative expression, or the human experience.

Two topics have been used in previous offerings: Statistical Thinking in Sports and Ethnomathematics

**MLCS 0099: Mathematical Literacy for College Students**

4-0-4. Prerequisite: COMPASS math score of 20 or higher

This course integrates numeracy, proportional reasoning, algebraic reasoning and understanding of functions. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. This course prepares students requiring Learning Support (or otherwise advised to refresh their Mathematical Literacy) to take MATH 1001 (Quantitative Skills and Reasoning).

NOTE: This course is designed for non-STEM (science, technology, engineering, mathematics) majors. MLCS 0099 is not intended to prepare students for MATH 1111. Students needing MATH 1111 are advised to enroll in MATH 0097 or MATH 0099 as placement tests indicate.

**MLCS 0099C:** **Mathematical Literacy for College Students Co-requisite**

2-0-2. Prerequisites: COMPASS score of 37 or higher and permission of instructor.

This course is a supplement to Math 1001 and designated as a support to students taking Quantitative Skills and Reasoning concurrently. Topics covered will be prerequisites to MATH 1001 taken on an as-needed basis and embedded into Quantitative Skills and Reasoning material. The course content will focus on developing mathematical maturity through conceptual understanding and mastery of foundational skills. For students in MLCS 0099 CO with COMPASS placement math scores below 40, attendance in Math 1001 is mandatory; after three absences, the student will be automatically dropped from the course and receive a grade of W or WF.