2007 CCBC College Catalog

MATHEMATICS

MATH 081 – 0 Credits (0-3 billable hours)
Basic Mathematics

Covers fractions, decimals, ratios, rates, proportions, percents, basic statistics, U.S. and Metric units of measurement, perimeter, area, volume, graphs, operations on signed numbers, and basic algebraic expressions and equations. 3 contact hours. Successful participation in and completion of this course require that student skills be at the secondary level.

Prerequisites: LVM 0 or a satisfactory score on the math placement test; RDNG 051 or ESOL 053 or LVR 1

MATH 082 – 0 Credits (0-3 billable hours)
Introductory Algebra

Covers first degree equations and inequalities, linear equations, systems of equations, polynomials, and factoring.

Prerequisites: MATH 081 or LVM 1 or a satisfactory score on the math placement test and RDNG 051 or ESOL 053 or LVR 1

MATH 083 – 0 Credits (0-3 billable hours)
Intermediate Algebra

Covers rational expressions and equations, radicals, quadratic equations, complex numbers, functions and relations, and exponential and logarithmic functions.

Prerequisites: MATH 082 or LVM 2 or a satisfactory score on the math placement test and RDNG 051 or ESOL 053 or LVR 1

MATH 105 – 3 Credits
Industrial Mathematics

Covers solving equations, work, power and energy, and concepts from arithmetic, geometry, algebra, and trigonometry related to applications in an industrial setting; provides the math foundation necessary for industrial technology courses.

Prerequisites: MATH 081 or a sufficient math placement score or consent of the department head

MATH 111 – 3 Credits
Ideas in Mathematics

Covers contemporary topics and applications of mathematics; examines problem solving, probability, statistics, an introduction to computers, and other selected topics. This course is for the Liberal Arts student who is not planning to major in mathematics or the physical sciences.

Prerequisites: MATH 083 or MATH 101 or sufficient math placement score or consent of the department head; ENGL 052 or LVE 2; and RDNG 052 or ESOL 054 or LVR 2

MATH 125 – 3 Credits
Finite Mathematics and Modeling

Studies applications of mathematics to business, management, science, health, and the social sciences. Covers linear functions, linear systems, matrices, probability, linear programming, mathematical models, simple and compound interest, annuities, amortization, and other selected topics.

Prerequisites: MATH 083 or sufficient math placement score or consent of department head; LVR 2; and LVE 1.

MATH 128 – 3 Credits
Mathematics and Strategy of Gaming

Studies probability theory and its application to gaming. Covers permutations and combinations, laws of probability, expected value, trees, gambler’s ruin, binomial and multinomial distributions, goodness of fit, elementary game theory, and social issues. Applications include casino games, lotteries, racing, wagering systems, business and investment decisions, conflict, and competition.

Prerequisites: MATH 083 or MATH 101 or LVM3 or sufficient math placement score, or consent of the department head; LVR 2; and LVE 2.

MATH 131 – 4 Credits
Concepts of Mathematics I: Numeration Systems and Operations

Covers the concepts and principles of mathematics taught in elementary education; examines the origin of numbers, system of cardinal numbers, numeration systems, and principles underlying the fundamental operations. This is not a “methods in teaching” course.

Prerequisites: MATH 083 or MATH 101 or LVM 3 or sufficient math placement score; ENGL 052 or LVE 2; and RDNG 052 or ESOL 054 or LVR 2; or consent of the department head

MATH 132 – 4 Credits
Concepts of Mathematics II: Geometry and Measurement

Examines the concepts and principles of geometry taught in elementary education; covers geometric vocabulary, concepts and skills in two and three dimensions, coordinate geometry, metric and non-metric geometry, and measurement.

Prerequisites: MATH 083 or MATH 101 or LVM 3 or sufficient math placement score; ENGL 052 or LVE 2; and RDNG 052 or ESOL 054 or LVR 2; or consent of the department head

MATH 133 – 4 Credits
Concepts of Mathematics III: Statistics and Functions

Develops an understanding of statistical methodology and use of critical judgment in analyzing data sets. Also develops the concept of a function on an intuitive and conceptual basis appropriate for elementary education majors.

Prerequisites: MATH 083 or MATH 101 or LVM 3 or sufficient math placement score; ENGL 052 or LVE 2; and RDNG 052 or ESOL 054 or LVR 2; or consent of the department head

MATH 135 – 3 Credits
Applied Algebra and Trigonometry

Covers a wide range of college-level algebraic and trigonometric topics, such as linear and quadratic equations, right-triangle trigonometry and vectors, exponents, and logarithms, and students will develop problem-solving skills relevant to their disciplines. This course is primarily for students in certain technically oriented disciplines.

Prerequisites: ENGL 052 or LVR 2; RDNG 052 or ESOL 054 or LVR 2; and a satisfactory score on the Mathematical Placement Test or satisfactory completion of MATH 083 or LVM 3; or consent of the department head

MATH 153 – 4 Credits
Introduction to Statistical Methods

Develops an understanding of statistical methodology and use of critical judgment in analyzing data sets; covers descriptive statistics, introduction to probability, normal and binomial distributions, hypothesis testing, confidence intervals, regression and correlation, chi-square distribution, and introduction to ANOVA. A statistical computer package, e.g. Minitab, is introduced as a computational tool.

Prerequisites: Algebra I and II and a satisfactory score on the MATH placement test or satisfactory completion of MATH 083 or MATH 101 or LVM 3; or consent of the department head

MATH 154 – 4 Credits
Statistical Methods

Continues the examination of statistical methodology, involving ANOVA, correlation and regression, non-parametric statistics, and other topics. Software (e.g. Minitab) is used.

Prerequisite: MATH 153 or consent of the department head

MATH 163 – 3 Credits
College Algebra

Explores the nature and scope of college mathematics through the study of functions. Topics include the study of polynomial, rational, radical, piece-wise defined, and absolute value functions and their graphs and applications as well as modeling with these functions. Additional topics include complex numbers, the binomial theorem, inverse functions, operations with functions, and exponential and logarithmic functions and their graphs and applications

Prerequisites: ENGL 052 or LVE 2 or ESOL 052 or LVE 2; RDNG 052 or LVR 2; Algebra I and II in high school and a satisfactory score on the placement exam; or MATH 083 or LVM 3; or consent of the department head

MATH 165 – 4 Credits
Precalculus

Prepares students for calculus; covers exponential and logarithmic functions with graphing, equations, applications, and modeling; conic sections and parametric equations; trigonometric functions; vectors; partial fractions; polar coordinates and graphing; mathematical induction; and sequences and series.

Prerequisites: ENGL 052 or LVE 2 or ESOL 052; RDNG 052 or LVR 2; MATH 163; or consent of department head.

MATH 230 – 3 Credits
Calculus with Applications

Examines applications of differential and integral calculus related to business, natural science and social science situations; covers the calculus of linear, polynomial, rational, logarithmic and exponential functions.

Prerequisites: MATH 161 or MATH 163 or LVM 5 or consent of the department head

MATH 243 – 4 Credits
Discrete Mathematics

Introduces the theoretical tools for describing algorithmic operations; covers set theory, the number system, the nature of proofs, recursion, formal logic, proof by induction, combinatorics, recurrence relations, graph theory, search problems, finite state automata, grammars, and languages.

Prerequisite: MATH 165

MATH 251 – 4 Credits
Calculus I

Covers functions, limits, continuity, derivatives, derivative algorithms, linear approximations, optimization and other applications, area under a curve, definite integrals, the Fundamental Theorem of Calculus, Mean Value Theorem, Rolle’s Theorem, Intermediate Value Theorem.

Prerequisite: MATH 165

MATH 252 – 4 Credits
Calculus II

Covers antiderivatives, approximation techniques for definite integrals, integration techniques, improper integrals, applications of definite integrals, infinite series, power series, Taylor series and introduction to differential equations.

Prerequisite: MATH 251

MATH 253 – 4 Credits
Calculus III

Covers the major topics of third semester Calculus, including functions of several variables, differentiation and integration, vectors, vector fields, parameterization, Green’s Theorem, and applications.

Prerequisite: MATH 252

MATH 257 – 4 Credits
Linear Algebra

Covers geometric vectors, matrices, systems of linear equations, vector spaces, linear transformations, determinants, eigenvectors and inner product spaces.

Prerequisite: Calculus I (MATH 251) or equivalent

MATH 259 – 3 Credits
Elementary Differential Equations

Covers techniques for solving first order differential equations, second and higher order differential equations, initial value problems, and solving differential equations by using

numerical methods, Laplace Transform.

Prerequisite: Calculus II (MATH 252)

MATH 260 – 3 credits
Math for Game Development

Applies mathematics through linear algebra and second year calculus to the development of 3-D animation for digital entertainment. Topics covered include vectors, matrices, transforms, 3-D engine geometry, ray tracing, illumination, visibility determination, collision detection, polygonal techniques, linear physics and rotational physics.

Prerequisites: MATH 252, MATH 257, and MULT 205, or department head approval