Course Descriptions for Mathematics
Updated April 2007
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
Mathematics
0097: Elementary Algebra MATH
0097
4-0-4. Prerequisite: none
This course is a review of elementary algebra. Topics include real numbers, exponents,
polynomials, equation solving and factoring.
Mathematics
0099: Intermediate Algebra MATH
0099
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 MATH
1001
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.
Mathematics
1071: Mathematics I MATH
1071
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.
Mathematics
1111: College Algebra MATH
1111
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.
Mathematics
1113: Precalculus MATH
1113
3-0-3. Prerequisite: MATH 1111
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.
Mathematics
2008: Foundations of Numbers and Operations MATH
2008
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.
Mathematics
2200: Elementary Statistics MATH
2200
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.
Mathematics
2240: Decision Mathematics MATH
2240
3-0-3. Prerequisite: MATH 1111
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.
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, max-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
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,
fixed-point methods, infinite series and power series are studied.
Mathematics
2263: Calculus III MATH
2263
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.