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Julia Morales

Administrative Assistant I

Email: julia.morales@gcccd.edu

Phone: (619) 644-7705

COURSE ELIGIBILITY is required of all students prior to enrolling in any Math course. Course eligibility is obtained by one of the following:

Satisfactorily complete all prerequisite courses.

Math assessment to determine current math skills.

Obtain a Math waiver form from the Counseling Center.

Present to the counseling staff college transcripts showing satisfactory completion of equivalent prerequisite courses. When possible, bring a course description to assist in determining course equivalency.

Students with transcripts from foreign colleges should contact the Mathematics Department or the Counseling Center.

Courses numbered 080 to 090 meet all Title 5 standards for Non-degree Credit.

Courses numbered 103 and above meet all Title 5 standards for Degree Credit.

MATHEMATICS 080

2 units, 2 hours lecture or 1 hour lecture and 2 hours computer assisted instruction

Recommended Preparation: Completion of Matriculation Process is highly recommended.

Fundamentals of arithmetic including addition, subtraction, multiplication, and division are reviewed with stress placed upon mental arithmetic involving whole numbers up to 12. Operations with fraction, decimals and percent are stressed. Area and volume formula for fundamental shapes will be stressed. This course is offered on a Credit/No Credit basis only. (Nondegree credit course)

MATHEMATICS 088

**BASIC MATHEMATICS AND PRE-ALGEBRA**

4 units, 4 hours lecture

Recommended Preparation: Completion of Matriculation Process is highly recommended.

This course provides a review of basic arithmetic; the derivation and use of selected measurement concepts; and the development of pre-algebra ideas such as variable, signed numbers and equations. These topics are explored in a context of problem solving and efficient calculator use. This course is offered on a Credit/No Credit basis only. (Nondegree credit course)

MATHEMATICS 088L

**COMPUTER TUTORIAL REVIEW: BASIC MATHEMATICS AND PRE-ALGEBRA**

1 Unit, 3 hours laboratory

This course uses a variety of educational tools to assist students. It should be used to strengthen prerequisite skills prior to enrolling in a specific course or to receive supplemental assistance while enrolled in basic mathematics or pre-algebra course. Educational tools include computer-aided tutorials, drills, and problem sets. This course is offered on a Credit/No credit basis only. (Nondegree credit course)

MATHEMATICS 089

**PRE-ALGEBRA FOR THE MATH ANXIOUS**

5 units, 5 hours lecture

Recommended Preparation: Completion of Matriculation Process is highly recommended.

This course will teach students to overcome mathematics anxiety and prepare them for elementary algebra. Emphasis in the course will be on developing self confidence through successfully solving arithmetic, algebraic and geometric problems. Students will learn effective skills, including cooperative learning and test taking techniques. A variety of nontraditional materials and techniques will be used in the presentation of concepts. This course is offered on a Credit/No Credit basis only. (Nondegree credit course)

MATHEMATICS 090

**ELEMENTARY ALGEBRA**

5 units, 5 hours lecture, or 4 hours lecture plus 2 hours computer assisted instruction

Recommended Preparation: Experience has shown you need a strong background in Arithmetic and Pre-Algebra to succeed in MATH 090. Completion of Matriculation Process is highly recommended.

Vocabulary of algebra, translation from English to algebra and evaluation of literal expressions. An introduction to the basic properties of the integers, rational numbers, and real numbers; polynomials, rational expressions, integral exponents, and radicals; simple functions and relations, graphing, solving linear equations and inequalities, linear systems, and second degree equations. Recommended for students with little or no recent knowledge of algebra. This course is offered on a Credit/No Credit basis only. (Nondegree credit course)

MATHEMATICS 090L

**COMPUTER TUTORIAL REVIEW: ELEMENTARY ALGEBRA**

1 Unit, 3 hours laboratory

This course uses a variety of educational tools to assist students. It could be used to strengthen prerequisite skills prior to enrolling in a specific course or to receive supplemental assistance while enrolled in an elementary algebra course. Educational tools include computer-aided tutorials, drills, and problem sets. This course does not replace Math 090. This course is offered on a Credit/No credit basis only. (Nondegree credit course)

MATHEMATICS 096

**FOUNDATIONS FOR STATISTICS AND QUANTITATIVE REASONING**

6 units, 6 hours lecture

This class satisfies the prerequisite for only MATH 160 or MATH 120. The emphasis of this course will be on the practical aspects of mathematics and its applications. Topics include: data analysis, sample statistics and graphs, measure of central tendency, simplifying algebraic expressions, problem solving strategies, solving algebraic equations and inequalities, algebraic functions and their graphs. This class is NOT intended for business, science, computer science, engineering, or math majors and is offered on a Pass/No Pass basis only.

MATHEMATICS 097

**PLANE GEOMETRY**

3 units, 3 hours lecture

Prerequisite: MATH 090 or equivalent.

This course introduces essential vocabulary, properties and characteristics of geometric objects and geometric constructions. The concepts of plane geometry are developed inductively and then deductively. Integrated computer instruction offers a dynamic presentation of geometric concepts. This course is offered on a Credit/No Credit basis only.

MATHEMATICS 102

**MATH TUTOR/SCHOOL AGE CHILDREN**

3 units, 3 hours lecture

Prerequisite: A "CR" grade in MATH 090 or equivalent.

This course includes strategies on how to tutor addition, subtraction, multiplication and division of whole numbers and fractions using a minimum of four different types of manipulatives, and an in-depth study of fractions at the elementary level. It also includes an overview of the California State Standards in the area of Mathematics for Grades 3-6, and of current trends in the teaching of mathematics. Recommended for students who are interested in and elementary school environment. Upon successful completion of this class, students will be able to tutor elementary school students, grades 3-6, in arithmetic.

MATHEMATICS 103

**INTERMEDIATE ALGEBRA**

3 units, 3 hours lecture

Prerequisite: A "CR" grade in MATH 090 or equivalent.

Graphic, numeric, analytic and applied problems on topics include linear, quadratic, exponential and logarithmic functions, exponents, and radicals. Additional topics include systems of equations, algebraic fractions, radicals, mathematical sentences involving inequalities and absolute value, and complex numbers. A student can earn a maximum of 5 units for taking MATH 103 and MATH 110.

Satisfies General Education for Grossmont College

MATHEMATICS 108

**BEGINNING & INTERMEDIATE ALGEBRA FOR BUSINESS, MATH, SCIENCE AND ENGINEERING MAJORS**

6 units, 6 hours lecture

Recommended Preparation: Placement in Math 090

A compressed course that covers elementary algebra and in-depth coverage of intermediate algebra intended for the student who has some previous experience with algebra. This course includes topics related to a mathematical foundation for college students majoring in business, math, science and engineering and emphasizes the study of the behavior and characteristics of linear, quadratic, rational, radical, exponential, and logarithmic functions from graphic, numeric, analytic and applied perspectives. Graphing calculators are required for this course. This course serves as a prerequisite for MATH 120, MATH 125, MATH 160, MATH 170, MATH 175, MATH 176, and MATH 178. A student can earn a maximum of (six) 6 units for taking Math 103 and Math 108. Not open to students with credit in Math 110.*Satisfies General Education for Grossmont College A3*

MATHEMATICS 110

**INTERMEDIATE ALGEBRA FOR BUSINESS, MATH, SCIENCE AND ENGINEERING MAJORS**

5 units, 5 hours lecture or 4 hours lecture plus 2 hours computer assisted instruction (4.5 hours lecture and 1.5 hours laboratory)

Prerequisite: A "CR" grade in MATH 090 or equivalent.

Application of graphic, numeric, and analytic methods to model, interpret, and solve real-world problems involving: linear, quadratic, rational, radical, exponential, and logarithmic functions; systems of linear and quadratic equations or inequalities; and absolute value equations or inequalities. Interpret, model and analyze a collection of data and / or application problems. Additional topics include conic sections and an introduction to matrices and determinants. Computational techniques developed in beginning algebra are prerequisite skills for this course. This course is appropriate for students with at knowledge of beginning algebra or who have had at least two years of high school algebra but have not used it for several years. A student can earn a maximum of 5 units for taking MATH 103 and MATH 110.

Satisfies General Education for: Grossmont College

MATHEMATICS 110L

**COMPUTER TUTORIAL REVIEW: INTERMEDIATE ALGEBRA FOR BUSINESS, MATH, SCIENCE AND ENGINEERING MAJORS**

1 Unit, 3 hours laboratory

This course is designed for students who wish to review and master previously completed coursework. It should be taken to help strengthen concepts needed for the next course. This course consists of computer-aided tutorials, drills, and problem sets for the purpose of helping the student master the concepts intermediate algebra. This course is offered on a Credit/No credit basis only. (Nondegree credit course)

MATHEMATICS 120

**QUANTITATIVE REASONING**

3 units, 3 hours lecture

Prerequisite: A "C" or "CR" grade or higher in MATH 103 or 110 or equivalent.

Designed to give a brief survey at skills level of the historical development and current application of such topics as algebra and analysis, logic, geometry, probability and statistics, graphs, and computers.

Satisfies General Education for: Grossmont College, CSU B4

Transfers to CSU

(CAN MATH 2)

MATHEMATICS 125

**STRUCTURE AND CONCEPTS OF ELEMENTARY MATHEMATICS I**

3 units, 3 hours lecture, 1hour laboratory

Prerequisite: A "C" or "CR" grade or higher in MATH 103 or 110 AND Math 097, or equivalent.

Blending the mathematical topics of sets, whole numbers, numeration, number theory, integers, rational and irrational numbers, measurement relations, functions and logic. The course will investigate the interrelation-ships of the above topics using a problem-solving approach. The course will also investigate appropriate use of technology in the classroom.

Satisfies General Education for: Grossmont College, CSU B4

Transfers to CSU, UC (credit limited)

MATHEMATICS 126

**STRUCTURE AND CONCEPTS OF ELEMENTARY MATHEMATICS II**

3 units, 3 hours lecture, 1 hour laboratory

Prerequisite: MATH 125 (a grade of "C" or better is recommended) or equivalent.

Blending the mathematical topics of the probability, statistics, relations, graphs, measurement, coordinate geometry, plane geometry, solid geometry, logic, and number sense. The course will investigate the interrelationships of the above topics using a problem-solving approach. The course will also investigate the use of technology in the classroom.

Satisfies General Education for: Grossmont College, CSU B4

Transfers to: CSU, UC (credit limited)

MATHEMATICS 150

**INTRODUCTION TO COMPUTER PROGRAMMING WITH FORTRAN**

3 units, 3 hours lecture

Prerequisite: A "C" grade or higher in MATH 103 or 110 or equivalent.

Problem solving using FORTRAN 77 in a terminal/time-sharing environment. Mathematical applications from statistics, mathematics, engineering, physical science, business and information systems are used to illustrate the development of structured programs using flowcharts and top-down design. The problems will also provide the framework for learning the FORTRAN 77 syntax for arithmetic computations, input-output, decisions, loops, functions, and subroutines.

Satisfies General Education for: Grossmont College, CSU

Transfers to: CSU, UC

MATHEMATICS 160

**ELEMENTARY STATISTICS**

3 units, 3 hours lecture

Prerequisite: A "C" grade or higher in MATH 103 or 110 or equivalent.

Recommended Preparation: Completion of Matriculation Process is highly recommended.

Tabular and graphical presentation, measures of central tendency and variability; standard elementary procedures involving binomial, normal, Student's t, chi-square, nonparametric statistics, and correlation. Applications from the fields of biology, business, economics, education, engineering, and psychology.

Satisfies General Education for: Grossmont College, CSU

Transfers to: CSU, UC (credit limited)

(CAN STAT 2)

MATHEMATICS 160L

**COMPUTER TUTORIAL REVIEW: ELEMENTARY STATISTICS**

1 Unit, 3 hours laboratory

This course consists of computer tutorials, drills, and problem sets for the purpose of helping student master the concepts of statistics. This course does not replace Math 160. This course is offered on a Credit/No credit basis only. (Nondegree credit course)

MATHEMATICS 170

**ANALYTIC TRIGONOMETRY**

3 units, 3 hours lecture

Prerequisite: A grade of "C" or better in MATH 097 or equivalent and MATH 110 or equivalent. Note: MATH 103 is not equivalent to MATH 110.

Recommended Preparation: Completion of Matriculation Process is highly recommended.

A theoretical approach to the study of the trigonometric functions with emphasis upon circular functions, trigonometric identities, trigonometric equations, graphical methods, inverse functions, vectors and applications, complex numbers and solving triangles with applications.

Satisfies General Education for: Grossmont College, CSU

Transfers to: CSU (credit limited)

(CAN MATH 8)

MATHEMATICS 175

**COLLEGE ALGEBRA**

3 units, 3 hours lecture

Prerequisite: A "C" grade or higher in MATH 110 or equivalent. Note: MATH 103 is not equivalent to MATH 110.

Graphic, numeric, and analytic approaches to the study of precalculus concepts from college algebra. Application of appropriate technology including but not limited to graphic utilities to model, analyze, and interpret world application problems from a wide variety of disciplines. Topics include the real number system; algebraic, exponential and logarithmic functions and their inverses;graphing techniques for polynomials, rational, and trigonometric functions; complex numbers; theory of equations; partial fractions; mathematical induction; sequences and series; matrices; and the binomial theorem. A student can receive credit for only MATH 170 and 175, or MATH 176.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC (credit limited)

MATHEMATICS 176

**PRECALCULUS: FUNCTIONS AND GRAPHS**

6 units, 6 hours lecture Prerequisite: A "C" grade or higher in MATH 110 or equivalent and MATH 097 or equivalent. Note:MATH 103 is not equivalent to MATH 110.

Unification of college algebra and analytical trigonometry based on the function concept. Topics include properties of real number system, inequalities, theory or equations, complex numbers, the study of functions including inverse functions, logarithmic and exponential functions, trigonometric functions with emphasis on circular functions, trigonometric identities, trigonometric equations, graphical methods and solving triangles with applications, matrices, binomial theorem, mathematical induction, sequences and series. Completion of the Matriculation Process is highly recommended. Completion of college algebra or trigonometry will enhance the student's preparation for this course. A student can earn a maximum of 6 units when taking MATH 170, 175, and 176.

Satisfies General Education for: Grossmont College, CSU

Transfers to: CSU, UC

MATHEMATICS 178

**CALCULUS FOR BUSINESS, SOCIAL AND BEHAVIORAL SCIENCES**

4 units, 4 hours lecture

Prerequisite: A "C" grade or higher in MATH 110 or equivalent. Note: MATH 103 is not equivalent to MATH 110.

Recommended Preparation: MATH 175

An introduction to matrix algebra, differential and integral calculus with applications specifically designed for business, social and behavioral sciences. Not open to students with credit in MATH 180.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC (credit limited)

(CAN MATH 34)

MATHEMATICS 180

**ANALYTIC GEOMETRY AND CALCULUS**

5 units, 5 hours lecture

Prerequisite: A "C" grade or higher in MATH 170 and 175 or MATH 176 or equivalent.

MATH 180 includes topics from analytic plane geometry, limits and continuity of function, differential and integral calculus with applications involving algebraic, exponential, logarithmic, trigonometric, and hyperbolic functions.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC (credit limited)

(CAN MATH 18)

IDS-198

**SUPERVISED TUTORING**

0 units, TBA hours

This course uses a variety of educational tools to assist students with various learning needs. It could be used to strengthen prerequisite skills prior to enrolling in specific course or to receive supplemental assistance while enrolled in a specific course or to receive supplemental assistance while enrolled in another course. The course may be repeated with different content. This is a NO FEE/NO Credit course

MATHEMATICS 245

**DISCRETE MATH**

3 units, 3 hours lecture

Prerequisite: A "C" grade or higher in MATH 280 (required by four-year schools).

Introduction to discrete mathematics. Topics to include sets, relations, summations, elementary counting techniques, recurrence relations, logic and proofs. This course is appropriate for mathematics and computer science majors.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC

MATHEMATICS 280

**ANALYTIC GEOMETRY & CALCULUS**

4 units, 4 hours lecture

Prerequisite: A "C" grade or higher in MATH 180.

Continuation of MATH 180. Parametric equations, polar coordinates, hyperbolic functions, techniques of integration, indeterminate forms, infinite series, conics.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC

(CAN MATH 20)

MATHEMATICS 281

**INTERMEDIATE CALCULUS**

4 units, 4 hours lecture

Prerequisite: A "C" grade or higher in MATH 280.

Sequel to Mathematics 280. Includes Vectors in two and three dimensions, partial differentiation, iterated integration, line and surface integrals, application of Green's and Stokes' theorems, work and cylindrical and spherical coordinates and an introduction to linear to algebra.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC

(CAN MATH 22)

MATHEMATICS 284

**LINEAR ALGEBRA**

3 units, 3 hours lecture

Prerequisite: A "C" grade or higher in MATH 280.

The central topics are matrix operations. Gaussian elimination, determinants, vectorspaces, linear transformations, orthogonality, eigenvalues and eigenvectors.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC

(CAN MATH 26)

MATHEMATICS 285

**DIFFERENTIAL EQUATIONS**

3 units, 3 hours lecture

Prerequisite: A "C" grade or higher in MATH 280.

Includes first order differential equations, initial boundary value problems, the Cauchy-Euler equation, series solutions, and Laplace transformations, Fourier series, and separation of variables for elementary partial differential equations. Applications of these topics will be explored.

Satisfies General Education for: Grossmont College, CSU B4, IGETC 2A

Transfers to: CSU, UC

(CAN MATH 24)

MATHEMATICS 299

**Selected topics in Mathematics**

1-5 units, 3-15 hours

Prerequisite: Varies with topic

Selected topics in mathematics not covered by regular catalog offerings. Course content and unit credit to be determined by the Division of Mathematics, Natural Sciences, and Exercise Science and Wellness in relation to community / student need(s) and / or available staff. May be offered as a seminar or lecture class.

Julia Morales

Administrative Assistant I

Email: julia.morales@gcccd.edu

Phone: (619) 644-7705