General Course Descriptions : Mathematics

Initial student placement in developmental courses is based on individual college placement testing policies and procedures. See "Admissions" for more information. Students should begin developmental course work at the appropriate level indicated by that college's placement test.

MAT 050                   Basic Math Skills                   3                   2                   4

This course is designed to strengthen basic math skills.   Topics include properties, rounding, estimating, comparing, converting, and computing whole numbers, fractions, and decimals.   Upon completion students should be able to perform basic computations and solve relevant mathematical problems. (F,S)

MAT 060                   Essential Mathematics                   3                   2                   4

Prerequisite: MAT 050 or Math Placement

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. (F/S/SS)

MAT 070                   Introductory Algebra                   3                   2                   4

Prerequisites: MAT 060 or Math Placement

Corequisite: RED 080 or ENG 085

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. This course is also available through the Virtual Learning Community (VLC). (F/S/SS)

MAT 080                   Intermediate Algebra                   3                   2                   4

P rerequisites: MAT 070 or Math Placement.

Corequisite: RED 080 or ENG 085

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. (F/S/SS)

MAT 101                   Applied Mathematics I                   2                   2                   3

Prerequisites: MAT 060 or Math Placement

All students enrolling in MAT 101 must demonstrate competency by achieving satisfactory scores on either the CPT, SAT, ACT or the Math 060 Proficiency Assessment.

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. This course is intended for certificate and diploma programs.

MAT 115                   Mathematical Models                   2                   2                   3

Prerequisites: MAT 070 or Math Placement and RED 090 or Reading Placement

All students enrolling in MAT 115 must demonstrate competency by achieving satisfactory scores on either the CPT, SAT, ACT or Math 070 and Reading 090 Proficiency Assessments. 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 graphs, 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.   This course is also available through the Virtual Learning Community (VLC). (F/S)

MAT 121                   Algebra/Trigonometry I                   2                   2                   3

Prerequisites: MAT 070 or Math Placement and RED 090 or Reading Placement

All students enrolling in MAT 121 must demonstrate competency by achieving satisfactory

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scores on either the CPT, SAT, ACT or Math 070 and Reading 090 Proficiency Assessments.

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. (F)

MAT 122                   Algebra/Trigonometry II                   2                   2                   3

Prerequisite: MAT 121

This course extends the concepts covered in MAT 121 to include additional topics in algebra, function analysis, and trigonometry. Topics include exponential and logarithmic functions, translation and scaling of functions, Sine Law, Cosine Law, vectors, and statistics. Upon completion, students should be able to demonstrate an understanding of the use of technology to solve problems and to analyze and communicate results. (S)

MAT 151                   Statistics I                   3                   0                   3

Prerequisites: MAT080 or Math Placement

Corequisite: MAT 151A

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. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural sciences/mathematics (Quantitative Option). This course is also available through the Virtual Learning Community (VLC). (F/S)

MAT 151A                   Statistics I Lab                   0                   2                   1

Prerequisite: MAT 080 or Math Placement

Corequisite: MAT 151

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. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural sciences/mathematics (Quantitative Option). (F/S)

MAT 161                   College Algebra                   3                   0                   3

Prerequisites:   MAT 080 or Math Placement or MAT 080

This course provides an integrated technological approach to algebraic topics used in problem solving. Emphasis is placed on applications involving equations and inequalities; polynomial, 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 and use the model for analysis and prediction. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural science/mathematics for the Associate in Arts Degree. This course is also available through the Virtual Learning Community (VLC).

MAT 171                   Precalculus Algebra                   3                   0                   3

Prerequisites: MAT 080 or Math Placement

Corequisite: MAT 171A

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. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural sciences/mathematics. (F/S/SS)

MAT 171A                   Precalculus Algebra Lab                   0                   2                   1

Prerequisites: MAT 080 or Math Placement Score

Corequisite: MAT 171

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. This course has been approved to satisfy the Comprehensive Articulation Agreement for transferability as a pre-major and/or elective course requirement. (F/S/SS)

MAT 172                   Precalculus Trigonometry                   3                   0                   3

Prerequisites: MAT 171

Corequisite: MAT 172A

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. This course has been approved to satisfy the Comprehensive Articulation Agreement for transferability as a pre-major and/or elective course requirement. (S)

MAT 172A     Precalculus Trig. Lab                   0                   2                   1

Prerequisites: MAT 171

Corequisite: MAT 172

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. This course has been approved to satisfy the Comprehensive Articulation Agreement for transferability as a pre-major and/or elective course requirement. (S)

MAT 263                   Brief Calculus                   3                   0                   3

Prerequisite: MAT 161 or MAT 171

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.This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural science/mathematics. (D)

MAT 263A                   Brief Calculus Lab                   0                   2                   1

Prerequisite: MAT 161 or MAT 171

Corequisite: MAT 263

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. This course has been approved to satisfy the Comprehensive Articulation Agreement for transferability as a pre-major and/or elective course requirement. (D)

MAT 271                   Calculus I                   3                   2                   4

Prerequisite: MAT 172 or MAT 175 or department chair's permission

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. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural sciences/mathematics. (F)

MAT 272                   Calculus II                   3                   2                   4

Prerequisite: MAT 271

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. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural sciences/mathematics. (S)

MAT 273                   Calculus III                   3                   2                   4

Prerequisite: MAT 272

This course covers the calculus of several variables and is the 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. This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural sciences/mathematics. (D)

MAT 280                   Linear Algebra                   3                   0                   3

Prerequisite: MAT 271

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. This course has been approved to satisfy the Comprehensive Articulation Agreement for transferability as a pre-major and/or elective course requirement. (D)

MAT 285                   Differential Equations                   3                   0                   3

Prerequisite: MAT 272                  

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. This course has been approved to satisfy the Comprehensive Articulation Agreement for transferability as a pre-major and/or elective course requirement.(D)

See the SEL and SEM prefixes for generic Selected Topics and Seminar course descriptions.