Course Descriptions: MATHEMATICS (MAT)

MATHEMATICS: Course Descriptions

This course is a comprehensive study of mathematical skills which should provide a strong mathematical foundation to pursue further study. Topics include principles and applications of decimals, fractions, percents, ratio and proportion, order of operations, geometry, measurement, and elements of algebra and statistics. Upon completion, students should be able to perform basic computations and solve relevant, multi-step mathematical problems using technology where appropriate.

Course Hours Per Week: Class 3, Lab 2.
Institutional Hours Credit: 4.
Prerequisite: None.

MAT 070 - Introductory Algebra

This course establishes a foundation in algebraic concepts and problem solving. Topics include signed numbers, exponents, order of operations, simplifying expressions, solving linear equations and inequalities, graphing, formulas, polynomials, factoring, and elements of geometry. Upon completion, students should be able to apply the above concepts in problem solving using appropriate technology.

Course Hours Per Week: Class 3, Lab 2.
Institutional Hours Credit: 4.
Prerequisite: A grade of “C” or better in MAT 060 or equivalent placement.
Co-Requisite: RED 080 or ENG 085.

MAT 080 - Intermediate Algebra

This course continues the study of algebraic concepts with emphasis on applications. Topics include factoring; rational expressions; rational exponents; rational, radical, and quadratic equations; systems of equations; inequalities; graphing; functions; variations; complex numbers; and elements of geometry. Upon completion, students should be able to apply the above concepts in problem solving using appropriate technology.

Course Hours Per Week: Class 3, Lab 2.
Institutional Hours Credit: 4.
Prerequisite: A grade of “C” or better in MAT 070 or equivalent placement.
Co-Requisite: RED 080 or ENG 085.

MAT 095 - Algebraic Concepts

This course covers algebraic concepts with an emphasis on applications. Topics include linear, quadratic, absolute value, rational and radical equations, sets, real and complex numbers, exponents, graphing, formulas, polynomials, systems of equations, inequalities and functions. Upon completion, students should be able to apply the abovee topics in problem solving using appropriate technology.

Course Hours Per Week: Class 3, Lab 0.
Institutional Hours Credit: 3.
Prerequisite: None

MAT 101 - Applied Mathematics I

This course is a comprehensive review of arithmetic with basic algebra designed to meet the needs of certificate and diploma programs. Topics include arithmetic and geometric skills used in measurement, ratio and proportion, exponents and roots, applications of percent, linear equations, formulas, and statistics. Upon completion, students should be able to solve practical problems in their specific areas of study.

Course Hours Per Week: Class 2, Lab 2.
Institutional Hours Credit: 3.
Prerequisite: A grade of “C” or better in MAT 060 or equivalent placement.

MAT 102 - Applied Mathematics II

This course introduces the concepts of right triangle trigonometry and geometry with emphasis on applications to problem solving. Topics include the basic definitions and properties of plane and solid geometry, area and volume, and right triangle trigonometry. Upon completion, students should be able to solve applied problems both independently and collaboratively.

Course Hours Per Week: Class 2, Lab 2.
Institutional Hours Credit: 3.
Prerequisite: MAT 101.

MAT 115 - Mathematical Models

This course develops the ability to utilize mathematical skills and technology to solve problems at a level found in non-mathematics-intensive programs. Topics include applications to percent, ratio and proportion, formulas, statistics, functional notation, linear functions and their groups, probability, sampling techniques, scatter plots, and modeling. Upon completion, students should be able to solve practical problems, reason and communicate with mathematics, and work confidently, collaboratively, and independently.

Course Hours Per Week: Class 2, Lab 2.
Semester Hours Credit: 3.
Prerequisite: A grade of “C” or better in MAT 070 or equivalent placement.

MAT 120 - Geometry & Trig

This course introduces the concepts of plane trigonometry and geometry with emphasis on applications to problem solving. Topics include the basic definitions and properties of plane and solid geometry, area and volume, right triangle trigonometry, and oblique triangles. Upon completion, students should be able to solve applied problems both independently and collaboratively using technology. This course may meet the SACS mathematics requirement for AGE, AAS, DIP, or CER programs.

Course Hours Per Week: Class 2, Lab 2.
Semester Hours Credit: 3.
Prerequisites: a. Proficiency in Numerical/Arithmetic Skills (minimum ASSET score of 41 on Numerical or a minimum CPT score of 55 on Arithmetic OR a grade of “C” or better in MAT 060)
b. Proficiency in Elementary Algebra (ASSET score of 41-55 on Elementary Algebra or a minimum ASSET score of 30 on Intermediate Algebra or a minimum CPT score of 55 on Elementary Algebra OR a grade of “C” or better in MAT 070 or MAT 080 or MAT 090 or MAT 095 OR successful completion of one of the following: MAT 121 or MAT 161 or MAT 171 or MAT 175)
Corequisites: None

MAT 121 - Algebra/Trig I

This course provides an integrated approach to technology and the skills required to manipulate, display, and interpret mathematical functions and formulas used in problem solving. Topics include simplification, evaluation, and solving of algebraic and radical functions; complex numbers; right triangle trigonometry; systems of equations; and the use of technology. Upon completion, students should be able to demonstrate an understanding of the use of mathematics and technology to solve problems and analyze and communicate results. This course may meet the SACS mathematics requirement for AGE, AAS, DIP, or CER programs.

Course Hours Per Week: Class 2, Lab 2.
Semester Hours Credit: 3.
Prerequisites: a. Proficiency in Numerical/Arithmetic Skills (minimum ASSET score of 41 on Numerical or minimum CPT score of 55 on Arithmetic OR a grade of “C” or better in MAT 060)
b. Proficiency in Elementary Algebra (ASSET score of 41-55 on Elementary Algebra or a minimum ASSET score of 30 on Intermediate Algebra or a minimum CPT score of 55 on Elementary Algebra OR a grade of “C” or better in one of the following: MAT 070 or MAT 080 or MAT 090 or MAT 095)
Corequisites: None

MAT 122 - Algebra/Trig II

This course extends the concepts covered in MAT 121 to include additional topics in algebra, function analysis, trigonometry, and systems of equations. Topics include translation and scaling of functions, Sine Law, Cosine Law, complex numbers, vectors, statistics, and systems of equations. Upon completion, students should be able to demonstrate an understanding of the use of technology to solve problems and to analyze and communicate results. This course may meet the SACS mathematics requirement for AGE, AAS, DIP, or CER programs.

Course Hours Per Week: Class 2, Lab 2.
Semester Hours Credit: 3.
Prerequisites: MAT 121 or MAT 161 or MAT 171 or MAT 175
Corequisites: None

MAT 140 - Survey of Mathematics

This course provides an introduction in a non-technical setting to selected topics in mathematics. Topics may include, but are not limited to, sets, logic, probability, statistics, matrices, mathematical systems, geometry, topology, mathematics of finance, and modeling. Upon completion, students should be able to understand a variety of mathematical applications, think logically, and be able to work collaboratively and independently.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: A grade of “C” or better in MAT 070 or equivalent placement.
Co-requisite: MAT 140A.

MAT 140A - Survey of Mathematics LAB

This course is a laboratory for MAT 140. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: A grade of “C” or better in MAT 070 or equivalent placement.
Co-Requisite: MAT 140.

MAT 151 - Statistics

This course provides a project-based approach to the study of basic probability, descriptive and inferential statistics, and decision making. Emphasis is placed on measures of central tendency and dispersion, correlation, regression, discrete and continuous probability distributions, quality control, population parameter estimation, and hypothesis testing. Upon completion, students should be able to describe important characteristics of a set of data and draw inferences about a population from sample data.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: A grade of “C” or better in MAT 080 or MAT 090, OR equivalent placement.
Co-Requisite: MAT 151A.

MAT 151A - Statistics LAB

This course is a laboratory for MAT 151. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: A grade of “C” or better in MAT 080 or MAT 090, OR equivalent placement.
Co-Requisite: MAT 151.

MAT 161 - College Algebra

This course provides an integrated technological approach to algebraic topics used in problem solving. Emphasis is placed on equations and inequalities; polynomials, rational, exponential and logarithmic functions; and graphing and data analysis/modeling. Upon completion, students should be able to choose an appropriate model to fit a data set and use the model for analysis and prediction.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: A grade of “C” or better in MAT 080 or MAT 090, OR equivalent placement
Co-requisite: MAT 161A

MAT 161A - College Algebra LAB

This course is a laboratory for MAT 161. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve roblems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: A grade of “C” or better in MAT 080 or MAT 090, OR equivalent placement
Co-requisite: MAT 161

MAT 171 - Precalculus Algebra

This is the first of two courses designed to emphasize topics which are fundamental to the study of calculus. Emphasis is placed on equations and inequalities, functions (linear, polynomial, rational), systems of equations and inequalities, and parametric equations. Upon completion, students should be able to solve practical problems and use appropriate models for analysis and predictions.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: A grade of “C” or better in MAT 080 or MAT 090, OR equivalent placement
Co-requisite: MAT 171A

MAT 171A - Precalculus Algebra LAB

This course is a laboratory for MAT 171. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: A grade of “C” or better in MAT 080 or MAT 090, OR equivalent placement
Co-requisite: MAT 171

MAT 172 - Precalculus Trig

This is the second of two courses designed to emphasize topics which are fundamental to the study of calculus. Emphasis is placed on properties and applications of transcendental functions and their graphs, right and oblique triangle trigonometry, conic sections, and vectors. Upon completion, students should be able to solve practical problems and use appropriate models for analysis and prediction.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: MAT 171.
Co-Requisite: MAT 172A.

MAT 172A - Precalculus Trig LAB

This course is a laboratory for MAT 172. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: MAT 171.
Co-Requisite: MAT 172.

MAT 175 - Precalculus

This course provides an intense study of the topics which are fundamental to the study of calculus. Emphasis is placed on functions and their graphs with special attention to polynomial, rational, exponential, logarithmic and trigonometric functions, and analytic trigonometry. Upon completion, students should be able to solve practical problems and use appropriate models for analysis and prediction.

Course Hours Per Week: Class 4, Lab 0.
Semester Hours Credit: 4.
Prerequisite: a. High School Algebra III/Trigonometry b. A grade of “C” or better in MAT 080 or equivalent placement.
Co-requisite: MAT 175A.

MAT 175A - Precalculus LAB

This course is a laboratory for MAT 175. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: a. High School Algebra III/Trigonometry b. A grade of “C” or better in MAT 080 or equivalent placement.
Co-Requisite: MAT 175.

MAT 263 - Brief Calculus

This course introduces concepts of differentiation and integration and their applications to solving problems; the course is designed for students needing one semester of calculus. Topics include functions, graphing, differentiation, and integration with emphasis on applications drawn from business, economics, and biological and behavioral sciences. Upon completion, students should be able to demonstrate an understanding of the use of basic calculus and technology to solve problems and to analyze and communicate results.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: MAT 161 or MAT 171.
Co-requisite: MAT 263A.

MAT 236A - Precalculus LAB

This course is a laboratory for MAT 263. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively.

Course Hours Per Week: Class 0, Lab 2.
Semester Hours Credit: 1.
Prerequisite: MAT 161 or MAT 171.
Co-Requisite: MAT 263.

MAT 271 - Calculus I

This course covers in depth the differential calculus portion of a three-course calculus sequence. Topics include limits, continuity, derivatives, and integrals of algebraic and transcendental functions of one variable, with applications. Upon completion, students should be able to apply differentiation and integration techniques to algebraic and transcendental functions.

Course Hours Per Week: Class 3, Lab 2.
Semester Hours Credit: 4.
Prerequisite: MAT 172 or MAT 175.

MAT 272 - Calculus II

This course provides a rigorous treatment of integration and is the second calculus course in a three-course sequence. Topics include applications of definite integrals, techniques of integration, indeterminate forms, improper integrals, infinite series, conic sections, parametric equations, polar coordinates, and differential equations. Upon completion, students should be able to use integration and approximation techniques to solve application problems.

Course Hours Per Week: Class 3, Lab 2.
Semester Hours Credit: 4.
Prerequisite: MAT 271.

MAT 273 - Calculus III

This course covers the calculus of several variables and is third calculus course in a three-course sequence. Topics include functions of several variables, partial derivatives, multiple integrals, solid analytical geometry, vector-valued functions, and line and surface integrals. Upon completion, students should be able to solve problems involving vectors and functions of several variables.

Course Hours Per Week: Class 3, Lab 2.
Semester Hours Credit: 4.
Prerequisite: MAT 272.

MAT 280 - Linear Algebra

This course provides a study of linear algebra topics with emphasis on the development of both abstract concepts and applications. Topics include vectors, systems of equations, matrices, determinants, vector spaces, linear transformations in two or three dimensions, eigenvectors, eigenvalues, diagonalization and orthogonality. Upon completion, students should be able to demonstrate both an understanding of the theoretical concepts and appropriate use of linear algebra models to solve application problems.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: MAT 271.

MAT 285 - Differential Equations

This course provides an introduction to ordinary differential equations with an emphasis on applications. Topics include first-order, linear higher-order, and systems of differential equations; numerical methods; series solutions; eigenvalues and eigenvectors; Laplace transforms; and Fourier series. Upon completion, students should be able to use differential equations to model physical phenomena, solve the equations, and use the solutions to analyze the phenomena.

Course Hours Per Week: Class 3, Lab 0.
Semester Hours Credit: 3.
Prerequisite: MAT 272

Cape Fear Community College

MATHEMATICS: Course Descriptions