GCC General Catalog 2009-2010
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General Catalog 2009-2010

Programs and Courses

Mathematics

General Information

For Information: Math Department
Phone: 623.845.3655

 

Student Goals: General Education, Career-related

Mathematics courses at Glendale Community College serve students who intend to major in mathematics at a four-year institution, students who need these courses in preparation for other careers, and students choosing them for personal interest. Students intending to pursue a baccalaureate degree in mathematics should consult with a departmental advisor to plan their program.

Mathematicians engage in a wide variety of activities ranging from the creation and relating of new theories to solving of simple or complex numerical problems. Some graduates engage in mathematics for money, some for humanitarian purposes, and some simply because they find it beautiful.

At a time when most job markets are tight, mathematicians can limit their career opportunities by failing to explore available options. Teaching and research are but two of a long list of possibilities. Related careers are applied mathematics, computer research and programming, biomedical engineering, accounting, pure mathematics, systems analysis, economics, physical and life science, statistics and actuarial professions.

Note: Students should consult with a department advisor in planning their academic schedule in order to complete degree requirements in an expedient manner. Due to limited course offerings, degree seeking students may find it necessary to extend completion time lines and attend both day and evening classes.

Mathematics Flowcharts for Glendale Community College

Click on the flowchart to enlarge in a new window:

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Course Descriptions

Course Availability: (F) Fall, (S) Spring, (D) Day, (E) Evening, (Su1) Summer 1, (Su2) Summer 2, (O) Occasionally

Mathematics (MAT)

MAT082
Basic Arithmetic / 3 credits / 3 periods

Primary emphasis placed on fundamental operations with whole numbers, fractions, decimals, integers, and rational numbers; proportions, and percentages. Other topics include representations of data, geometric figures, and measurement. Prerequisites: None. (F,S,Su,D,E)
Course Notes: Students may receive credit for only one of the following: MAT081, MAT082, or MAT083.

MAT090
Developmental Algebra / 5 credits / 5 periods

Linear behavior; linear equations and inequalities in one and two variables; graphs; systems of equations in two variables; function notation, graphs, and data tables; operations on polynomials; properties of exponents; applications. Prerequisites: Grade of "C" or better in MAT082, or MAT102, or equivalent, or satisfactory score on District Placement exam. (F,S,Su,D,E)
Course Note: May receive credit for only one of the following: MAT090, MAT091, MAT092, or MAT093.

MAT092
Introductory Algebra / 3 credits / 3 periods

Linear behavior; linear equations and inequalities in one and two variables; graphs; systems of equations in two variables; function notation, graphs, and data tables; operations on polynomials; properties of exponents; applications. Prerequisites: Grade of "C" or better in MAT082, or MAT102, or equivalent, or satisfactory score on District Placement exam. (F,S,Su,D,E)
Course Note: May receive credit for only one of the following: MAT090, MAT091, MAT092, or MAT093.

MAT102
Mathematical Concepts/Applications / 3 credits / 3 periods

A problem solving approach to mathematics as it applies to life and the world of work. Development, demonstration, and communication of mathematical concepts and formulas that relate to measurement, percentage, statistics, and geometry. Prerequisites: Grade of “C” or better in MAT082, or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)

MAT108
Tutored Mathematics / 2 credits / 2 periods

Structured tutorial assistance and math study skills to help students achieve success in a mathematics course in which they are concurrently enrolled. Mathematics study skills emphasized. Prerequisites: None. Corequisites: MAT082, or MAT090, or MAT091, or MAT092, or MAT120, or MAT121, or MAT122, or MAT140, or MAT 141, or MAT 142, or MAT150, or MAT151, or MAT152, or permission of department chair.
Course Note: MAT108 may be repeated for a total of ten (10) credits.
(F,S,D,E)

MAT120
Intermediate Algebra / 5 credits / 5 periods

Quadratic, rational, radical, exponential, and logarithmic functions and equations; graphs of quadratic, exponential, and logarithmic functions; equations quadratic in form; operations on rational expressions, radical expressions, and complex numbers; rational exponents; applications. Prerequisites: Grade of "C" or better in MAT090, MAT091, MAT092, MAT093, or equivalent, or a satisfactory score on the District placement exam. (F,S,Su,D,E)
Course Note: May receive credit for only one of the following: MAT120, MAT121, or MAT122.

MAT121
Intermediate Algebra / 4 credits / 4 periods

Quadratic, rational, radical, exponential, and logarithmic functions and equations; graphs of quadratic, exponential, and logarithmic functions; equations quadratic in form; operations on rational expressions, radical expressions, and complex numbers; rational exponents; applications. Prerequisites: Grade of "C" or better in MAT090, MAT091, MAT092, MAT093, or equivalent, or a satisfactory score on the District placement exam.
Course Note: May receive credit for only one of the following: MAT120, MAT121, or MAT122.

MAT122
Intermediate Algebra / 3 credits / 3 periods

Quadratic, rational, radical, exponential, and logarithmic functions and equations; graphs of quadratic, exponential, and logarithmic functions; equations quadratic in form; operations on rational expressions, radical expressions, and complex numbers; rational exponents; applications. Prerequisites: Grade of "B" or better in MAT090, MAT091, MAT092, MAT093, or equivalent, or a satisfactory score on the District placement exam. (F,S,Su,D,E)
Course Note: May receive credit for only one of the following: MAT120, MAT121, or MAT122.

MAT140
College Mathematics / 5 credits / 5 periods

Working knowledge of college-level mathematics and its applications to real-life problems. Emphasis on understanding mathematical concepts and their applications. Topics include set theory, probability, statistics, finance, and geometry. Prerequisites: Grade of "C" or better in MAT120, or MAT121, or MAT122 or equivalent, or satisfactory score on District placement exam. (D,F,S)
Course Note: Appropriate for the student whose major does not require college algebra or precalculus.

MAT141
College Mathematics / 4 credits / 4 periods

Working knowledge of college-level mathematics and its applications to real-life problems. Emphasis on understanding mathematical concepts and their applications. Topics include set theory, probability, statistics, finance, and geometry. Prerequisites: Grade of "C" or better in MAT120, or MAT121, or MAT122 or equivalent, or satisfactory score on District placement exam.
Course Note: Appropriate for the student whose major does not require college algebra or precalculus.

MAT142
College Mathematics / 3 credits / 3 periods

Working knowledge of college-level mathematics and its applications to real-life problems. Emphasis on understanding mathematical concepts and their applications. Topics include set theory, probability, statistics, finance, and geometry. Prerequisites: Grade of "C" or better in MAT120, or MAT121, or MAT122 or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)
Course Note: Appropriate for the student whose major does not require college algebra or precalculus.

MAT150
College Algebra / Functions / 5 credits / 5 periods

Analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions; systems of equations, modeling and solving real world problems. Additional topics may include matrices, combinatorics, sequences and series, and conics. Prerequisites: Grades of "C" or better in MAT120 or MAT121 or MAT122 or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)
Course Note: May receive credit for only one of the following: MAT150, MAT151, MAT152, or MAT187.

MAT151
College Algebra / Functions / 4 credits / 4 periods

Analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions; systems of equations, modeling and solving real world problems. Additional topics may include matrices, combinatorics, sequences and series, and conics. Prerequisites: Grades of "C" or better in MAT120 or MAT121 or MAT122 or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)
Course Note: May receive credit for only one of the following: MAT150, MAT151, MAT152, or MAT187.

MAT156
Mathematics for Elementary Teachers I / 3 credits / 3 periods

Focuses on numbers and operations. Algebraic reasoning and problem solving integrated throughout the course. Prerequisites: Grade of "C" or better in MAT142 or MAT150 or MAT151 or MAT152 or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)

MAT157
Mathematics for Elementary Teachers II / 3 credits / 3 periods

Focuses on measurement, geometry, probability and data analysis. Appropriate technologies, problem solving, reasoning, and proof are integrated throughout the course. Prerequisite: MAT156 or equivalent. (F,S,Su,D,E)

MAT172
Finite Mathematics / 3 credits / 3 periods

An introduction to the mathematics required for the study of social and behavioral sciences. Includes combinatorics, probability, descriptive statistics, matrix algebra, linear programming and the mathematics of finance. Includes applications of technology in problem-solving. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or MAT187 or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)

MAT182
Plane Trigonometry / 3 credits / 3 periods

A study of measures of angles, properties of graphs of trigonometric functions, fundamental identities, addition and half-angle formulas, inverse trigonometric functions, solutions of trigonometric equations, complex numbers and properties of triangle solution. May receive credit for only one of the following: MAT182 or MAT187. Prerequisites: Grade of “C” or better in MAT150, or MAT151, or MAT152, or equivalent, or concurrent registration in MAT150, or MAT151, MAT152, or satisfactory score on District placement exam. (F,S,Su,D,E)

MAT187
Precalculus / 5 credits / 5 periods

A precalculus course combining topics from college algebra and trigonometry. Preparation for analytic geometry and calculus. May receive credit for only one of the following: MAT150, MAT151, MAT152, or MAT187. Prerequisites: Grade of "B" or better in MAT120, MAT121, or MAT122, or equivalent, or satisfactory score on a placement test. (F,S,D,E)
Course Note: Strongly recommended that students have some knowledge of trigonometry.

MAT206
Elements of Statistics / 3 credits / 3 periods

Basic concepts and applications of statistics, including data description, estimation and hypothesis tests. Prerequisites: (A grade of "C" or better in MAT140 or MAT141 or MAT142) or (A grade of "C" or better in MAT150 or MAT151 or MAT152) or equivalent, or satisfactory score on District placement exam.

MAT212
Brief Calculus / 3 credits / 3 periods

Introduction to the theory, techniques and applications of the differential and integral calculus of functions with problems related to business, life, and the social sciences. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or MAT187 or equivalent, or satisfactory score on District placement exam. (F,S,Su,D,E)

MAT213
Brief Calculus / 4 credits / 4 periods

Introduction to the theory, techniques, and applications of the differential and integral calculus of functions with problems related to business, life, and the social sciences. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or MAT187 or equivalent, or satisfactory score on District placement exam. (D,F,S)

MAT218
Mathematical Analysis for Business / 4 credits / 4 periods
An introduction to the mathematics required for the study of business. Includes multivariable optimization, Lagrange multipliers, linear programming, linear algebra, probability, random variables, discrete and continuous distributions. Prerequisites: Grade of C or better in MAT212 or MAT213. (D,F,S)

MAT220*
Analytic Geometry and Calculus I / 5 credits / 5 periods

Limits, continuity, differential and integral calculus of functions of one variable. Prerequisites: Grade of “C” or better in (MAT150 or MAT151 or MAT152) and MAT182 or MAT187 or equivalent, or satisfactory score on district placement exam. (F,S,Su,D,E)
Course Note: MAT220 studets m ay receive credit for only one of the following: MAT220 or MAT221.

MAT225
Elementary Linear Algebra / 3 credits / 3 periods

Introduction to matrices, systems of linear equations, determinants, vector spaces, linear transformations and eigenvalues. Emphasizes the development of computational skills. Prerequisites: Grade of “C” or better in MAT212 or MAT220, or MAT221, or equivalent. (O)

MAT227
Discrete Mathematical Structures / 3 credits / 3 periods

Introduction to lattices, graphs, Boolean algebras, and groups. Emphasis on topics relevant to computer science. Prerequisites: Grade of “C” or better in CSC100 and (MAT220, or MAT221, or equivalent) or permission of instructor. (S,D)

MAT230*
Analytic Geometry and Calculus II / 5 credits / 5 periods

Techniques of integration for both proper and improper integrals with applications to the physical and social sciences, elements of analytic geometry, and the analysis of sequences and series. Prerequisites: Grade of "C" or better in MAT220 or MAT221 or equivalent. (F,S,Su,D,E)
Course Notes: MAT230 students may receive credit for only one of the following: MAT230 or MAT231.

MAT240*
Calculus with Analytic Geometry III / 5 credits / 5 periods

Multivariate calculus including vectors, vector-valued functions, partial integration, and an introduction to vector fields. Prerequisites: Grade of "C" or better in MAT230 or MAT231. (F,S,Su,D,E)
Course Notes: MAT240 students may receive credit for only one of the following: MAT240 or MAT241.

* Order of topics may vary in the calculus courses depending on text.

MAT261
Differential Equations / 4 credits / 4 periods

Ordinary differential equations with applications including Laplace transforms with numerical methods. Prerequisites: Grade of "C" or better in MAT230, or MAT231, or equivalent. (F,S,Su,D,E)

MAT298
Special Projects / 1-3 credits

Organized and tailored around the interests and needs of the individual student. Structured to provide an atmosphere of individualized research and study paralleled by professional expertise and guidance. Professional-type facilities and equipment available for student use. Allows the best aspects of independent study and individualized learning to be combined to maximize student development. Prerequisites: Permission of Program Director or instructor.

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