Course Descriptions for Mathematics

Updated August 2009

Please note that the most current information is contained in the college’s online catalog:

http://www.highlands.edu/currentstudents/catalog/0709/CourseDescriptios.pdf

__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
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, linearmodels, quadratic models and exponential and logarithmic models. This course is an alternative in area A of the core curriculum and is not intended to 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 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 educationmajors. 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
2240: Decision Mathematics **

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

This course is an introduction to systems of linear equations and inequalities, matrices, linear programming and differential and integral calculus with emphasis on business applications.

**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.