Georgia Highlands College

Course Descriptions for Mathematics

Updated July 2015

__MATHEMATICS__

Mathematics 0099: Intermediate Algebra MATH 0099

4-0-4. Prerequisite: Satisfactory placement scores or 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.

Mathematics 0987: Foundations for Quantitative Reasoning MATH 0987

4-0-4. Prerequisite: None

This course is a review of algebra and mathematics literacy as preparation to take MATH 1001. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Students must pass the class with a C or better.

Mathematics 0997: Support for Quantitative Reasoning MATH 0997

2-0-2. Prerequisite: Satisfactory placement scores for MATH 0997 or successful completion of MATH 0987 or MATH 0099

Co-requisite: MATH 1001

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. Attendance in MATH 1001 is mandatory.

Mathematics 0989: Foundations for College Algebra MATH 0989

4-0-4. Prerequisite: None

This course is a review of introductory algebra as preparation to take MATH 1111 along with MATH 0999. Topics include properties of numbers, linear equations and inequalities, quadratic equations, graphs, polynomials and roots. Students must pass the class with a C or better.

Mathematics 0999: Support for College Algebra MATH 0999

2-0-2. Prerequisite: Satisfactory placement scores for MATH 0999 or successful completion of MATH 0989 or MATH 0099

Co-requisite: MATH 1111

This course is a supplement to MATH 1111 and designed 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. Topics may include real and imaginary numbers, exponents, polynomials, equation solving, factoring, inequalities, quadratic equations, rational expressions and roots. Attendance in MATH 1111 is mandatory.

Mathematics 1001: Quantitative Skills and Reasoning MATH 1001

3-0-3. Prerequisite: Registration for MATH 0997 is required each semester unless waived by satisfactory placement scores for MATH 1001 or successful completion of MATH 0987 or MATH 0099.

This course emphasizes quantitative reasoning skills needed for informed citizens to understand the world around them. Topics include logic, basic probability, data analysis, and modeling from data. Students receive credit toward graduation for only one of the following courses: MATH 1001, MATH 1111.

Mathematics 1111: College Algebra MATH 1111

3-0-3. Prerequisite: Registration for MATH 0999 is required each semester unless waived by satisfactory placement scores for MATH 1111 or successful completion of MATH 0099.

This course provides an in-depth study of the properties of algebraic, exponential and logarithmic functions as needed for calculus. Emphasis is on using algebraic and graphical techniques for solving problems involving linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions. Students receive credit toward graduation for only one of the following courses: MATH 1001, MATH 1111.

Mathematics 1113: Precalculus MATH 1113

3-0-3. Prerequisite: MATH 1111 with a C or better or satisfactory placement scores

This course is an intensive study of the basic functions needed for the study of calculus. Topics include algebraic, functional, and graphical techniques for solving problems with algebraic, exponential, logarithmic, and trigonometric functions and their inverses

Mathematics 2008: Foundations of Numbers and Operations MATH 2008

3-0-3. Prerequisite: MATH 1001, 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 numbers and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics.

Mathematics 2040: Applied Calculus MATH 2040

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.

Mathematics 2200: Elementary Statistics MATH 2200

3-0-3. Prerequisites: MATH 1001 or 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.

Mathematics 2261: Calculus I MATH 2261

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, m ax-min applications, infinite limits, the mean value theorem, antiderivatives, differential equations, sigma notation, the definite integral and areas in the plane.

Mathematics 2262: Calculus II MATH 2262

4-0-4. Prerequisite: MATH 2261 with a grade of C or better

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's approximations, error estimates, numerical integration, fixed-point methods, infinite series and power series are studied.

Mathematics 2263: Calculus III MATH 2263

4-0-4. Prerequisite: MATH 2262 with a grade of C or better

Conic sections, translation and rotation of axes, polar coordinate s, parametric equations, vectors in the plane an d in three-space, the cross product, cylindrical and spherical coordinates, surfaces in three-space, vector fields, line an d surface integrals, S toke's theorem , Green' s theorem and differential equations are studied in this course.

Mathematics 2280: Discrete Mathematics MATH 2280

3-0-3. Prerequisite: MATH 1113 with a C or better or permission of the instructor

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.

Mathematics 2285: Linear Algebra MATH 2285

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

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.

Mathematics 2310: Differential Equations MATH 2310

3-0-3. Prerequisites: MATH 2262 with a C or better

An introduction to numeric and analytic solutions of ordinary differential equations and mathematical modeling. Topics include first order differential equations, second order equations, higher order linear equations, systems of first order equations, simple non-linear equations and applications.

Mathematics 2901: Special Topics MATH 2901

Variable credit (1-3 semester hours credit) Prerequisite: ENGL 0989

Special interest courses, which may not be transfer able, 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.