**Course Descriptions**

__Recommended preparation for all math courses: The
mathematics department strongly urges all students to take the appropriate
mathematics assessment test to help determine the strength and currency
of background knowledge.__

**Math V01 - ELEMENTARY ALGEBRA - 5 Units**

Prerequisite: MathV09 or Math V10 or 1 year of high school pre-algebra with grade of C or better

Class hours: 5 hours lecture weekly

This course covers number sets, operations with signed
numbers, linear equations, graphing, systems of equations, ratio, proportion,
variation, linear inequalities, functions, factoring, fractions, exponents,
radicals, and quadratic equations. Students receiving credit in Math 1
will not receive credit in Math 11A-11B. Formerly Math 1A-Math 1B.

**Math V02 - GEOMETRY - 3 Units**

Prerequisite: Math V01 or Math V11B or 1 year of high school beginning algebra with grade of C or better

Class hours: 3 hours lecture weekly

Sets, real numbers, lines and planes, triangles, congruence,
proof, geometric inequalities, parallel and perpendicular lines, and planes,
polygons, similarity, circles, locus, construction and measure areas and
volumes related to solids.

**Math V03 - INTERMEDIATE ALGEBRA - 5 Units**

Prerequisite: Math V01 or V11B or 1 year of high school beginning algebra with grade of C or better

Class hours: 5 hours lecture weekly

Review of elementary algebra; advanced factoring, rational
algebraic operations, solution of equations, exponents and radicals, functions
and graphs, quadratic equations, exponential and logarithmic functions,
complex numbers, sequences and series.

**Math V03S - INTERMEDIATE ALGEBRA DISCUSSION SESSION
- 1 Unit**

Corequisite: Math V03

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany intermediate algebra. It gives students the opportunity to gain a greater mastery of the topics covered in intermediate algebra by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving intermediate algebra problems.

Offered on a credit/no credit basis only.

**Math V04 - COLLEGE ALGEBRA - 3 Units**

Prerequisite: Math V03 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better

Class hours: 3 hours lecture weekly

The number system and basic laws of algebra, determinants and matrices, variation, functional notation and curve plotting, theory of equations, and complex numbers.

Transfer credit: CSU; UC; credit limitations - see counselor.
CAN MATH 10.

**Math V05 - PLANE TRIGONOMETRY - 3 Units**

Prerequisite: Math V03 or 1 year of high school geometry; and Math 3 or 1 year of high school intermediate algebra (Algebra II) with grades of C or better.

Recommended preparation: MATH V02 or knowledge of plane geometry.

Class hours: 3 hours lecture weekly

The six basic trigonometric functions, their definitions, relationships, and uses: radian measure, triangle solution, identities, trigonometric equations, inverse functions, and complex numbers.

Transfer credit: CSU. **CAN MATH 8**

.

**Math V09 - BEGINNING MATHEMATICS - 3 Units**

Recommended preparation: LS 7 or equivalent.

Class hours: 3 hours lecture weekly

This course is a review of the basic mathematical skills and fundamental operations as applied to integers, fractions, and percentage. It provides an introduction to algebra, simple geometric figures, the metric system, and use of formulas.

Formerly Math 9A-Math 9B-Math 9C. Not applicable for degree
credit.

**Math V10 - PRE-ALGEBRA - 3 Units**

Recommended preparation: Math V09 or LS 7 or equivalent

Class hours: 3 hours lecture weekly

This course bridges the gap between arithmetic and elementary algebra. It reviews fundamental operations using a formalized approach and includes an introduction to the following algebraic topics: number systems, properties of real numbers, exponents, algebraic expressions, linear equations and inequalities, application problems, and introduction to graphing.

Not applicable for degree credit.

**Math V11A - ELEMENTARY ALGEBRA: FIRST HALF - 3 Units**

Prerequisite: Math V09 or Math V10 or 1 year of high school pre-algebra with grade of C or better

Class hours: 2 hours lecture, 2 hours lecture-laboratory weekly

This course is the first half of Elementary Algebra. It
covers number sets, operations with signed numbers, linear equations and
inequalities, polynomials and factoring, and introduction to quadratic
equations. Students receiving credit in Math 11A-11B will not receive credit
in Math 1.

**Math V11B - ELEMENTARY ALGEBRA: SECOND HALF - 3 Units**

Prerequisite: Math V11A with grade of C or better

Class hours: 2 hours lecture, 2 hours lecture-laboratory weekly

This course is the second half of Elementary Algebra.
It covers rational expressions, further study of quadratic equations, graphing
of equations and inequalities, systems of equations, and roots and radicals.
Students receiving credit in Math 11A-11B will not receive credit in Math
1.

**Math V20 - PRECALCULUS MATHEMATICS - 5 Units**

Prerequisite: Math V05 or the fourth year of high school mathematics (advanced mathematics) with grade of C or better

Class hours: 5 hours lecture weekly

College algebra and an extension of trigonometry using a functional approach designed to unify the concepts of mathematics at the precalculus level.

Transfer credit: CSU; UC; credit limitations - see counselor.
CAN MATH 16.

**Math V20S - PRECALCULUS DISCUSSION SESSION - 1 Unit**

Corequisite: Math V20

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany precalculus. It gives students the opportunity to gain a greater mastery of the topics covered in precalculus by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving precalculus problems.

Offered on a credit/no credit basis only.

**Math V21A - CALCULUS WITH ANALYTIC GEOMETRY I - 5 Units**

Prerequisite: Math V20 or the fourth year of high school mathematics (advanced mathematics) with grade of C or better

Class hours: 5 hours lecture weekly

The elements of calculus covered are: functions; limits; continuity; differentiation and integration of algebraic, logarithmic, and trigonometric functions; and L'Hopital's theorems. There will be applications to a variety of topics from other disciplines.

Transfer credit: CSU; UC; credit limitations - see counselor.
CAN MATH 18.

**Math V21AS - CALCULUS WITH ANALYTIC GEOMETRY I DISCUSSION
SESSION - 1 Unit**

Corequisite: Math V21A

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany calculus with analytic geometry I. It gives students the opportunity to gain a greater mastery of the topics covered in calculus with analytic geometry I by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving calculus problems.

Offered on a credit/no credit basis only.

**Math V21B - CALCULUS WITH ANALYTIC GEOMETRY II - 5
Units**

Prerequisite: Math V21A or equivalent with grade of C or better

Class hours: 5 hours lecture weekly

Topics covered include: infinite series; techniques of integration; polar and parametric representations; improper integrals; vectors in two and three dimensions; planes, lines and surfaces in space; vector-valued functions and motion in space. There will be applications to conic sections and a variety of topics from other disciplines.

Transfer credit: CSU; UC. CAN MATH 20.

**Math V21BS - CALCULUS WITH ANALYTIC GEOMETRY II DISCUSSION
SESSION - 1 Unit**

Corequisite: Math V21B

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany calculus with analytic geometry II. It gives students the opportunity to gain a greater mastery of the topics covered in calculus with analytic geometry II by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving calculus problems.

Offered on a credit/no credit basis only.

**Math V21C - MULTIVARIABLE CALCULUS AND LINEAR ALGEBRA
- 5 Units**

Prerequisite: Math V21B or equivalent with grade of C or better

Class hours: 5 hours lecture weekly

This course includes: partial differentiation, multiple integrals including change of variables; vector fields, including gradient, divergence, curl, line and surface integrals, Green's Theorem, Stokes' Theorem and Divergence Theorem; linear algebra and its applications.

Transfer credit: CSU; UC. CAN MATH 22.

**Math V21CS - MULTIVARIABLE CALCULUS AND LINEAR ALGEBRA
DISCUSSION**

SESSION - 1 Unit

Corequisite: Math V21C

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany multivariable calculus and linear algebra. It gives students the opportunity to gain a greater mastery of the topics covered in multivariable calculus and linear algebra by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving calculus problems.

Offered on a credit/no credit basis only.

**Math V24 - DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
- 5 Units**

Prerequisite: Math V21C or equivalent with grade of C or better

Class hours: 5 hours lecture weekly

This course includes first order differential equations and applications; higher order differential equations; power series solutions, and Laplace transform methods; systems of differential equations and matrix methods; an introduction to Fourier series and partial differential equations, numerical solution of differential and difference equations, boundary value problems, and an introduction to qualitative solutions of nonlinear differential equations.

Transfer credit: CSU; UC. CAN MATH 24.

**Math V24S - DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
DISCUSSION**

SESSION - 1 Unit

Corequisite: Math V24

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany differential equations and their applications. It gives students the opportunity to gain a greater mastery of the topics covered in differential equations and their applications by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving calculus problems.

Offered on a credit/no credit basis only.

**Math V30 - BASIC MATHEMATICS FOR HEALTH CARE PERSONNEL
- 3 Units**

Recommended preparation: Math V09 or LS 7 or equivalent

Class hours: 3 hours lecture weekly

This course is designed for nursing majors and will aid them in applying basic mathematical concepts to on-the-job situations. Students will learn the various techniques of dosage calculations. These include conversions using metric, household, and apothecary systems of measurement. The computational methods used in the preparation of oral medication, solutions, parenteral therapy and pediatric dosages are presented.

May be taken for a maximum of 2 times. Not applicable
for degree credit.

**Math V38 - MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS
- 3 Units**

Prerequisite: Math V02 or 1 year high school geometry with grade of C or better; and Math 3 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better

Class hours: 3 hours lecture weekly

This course covers language of sets, systems of numeration, fundamentals of operations, integers, number theory, rational numbers and real numbers, equations and inequalities, decimals, and percents. Applications will include use of calculators and work with manipulatives to graphically support concepts and procedures. Problem solving incorporates models, computer simulation, and scientific notation. This course is designed primarily for students intending to teach at the elementary or junior high/middle school level.

Formerly Math 38-38L. Transfer credit: CSU; UC. CAN MATH
4.

**Math V40 - MATHEMATICAL TOPICS FOR COLLEGE STUDENTS
- 3 Units**

Prerequisite: Math V03 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better

Class hours: 3 hours lecture weekly

Using and expanding upon the skills gained from Intermediate Algebra, this course offers the liberal arts student an applications-oriented, problem-solving exploration into a variety of mathematical fields including portions of courses offered in trigonometry, college algebra, statistics, business mathematics, and precalculus. Additional topics suitable for the liberal arts student may include transformational geometry, topology, non-Euclidean geometry, logic and proofs, number systems, number theory, graph theory, networks and linear programming, and computer algorithms. An important aspect of this course is to help students appreciate the value of mathematics in everyday life.

Transfer credit: CSU; UC. CAN MATH 2.

**Math V44 - ELEMENTARY STATISTICS - 4 Units**

Prerequisite: Math V03 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better

Class hours: 4 hours lecture weekly

Statistics useful to business, education and psychology students; measures of central tendency; measures of variation; the normal distribution; logical inferences and prediction; regression and correlation; chi-square and analysis of variance; nonparametric statistics.

Transfer credit: CSU; UC; credit limitations - see counselor.
CAN STAT 2.

**Math V44S - ELEMENTARY STATISTICS DISCUSSION SESSION
- 1 Unit**

Corequisite: Math V44

Class hours: 1 hour lecture weekly

This course is a discussion session to accompany elementary statistics. It gives students the opportunity to gain a greater mastery of the topics covered in elementary statistics by providing additional discussion and problem-solving opportunities. It may include appropriate topics from the history of mathematics and opportunities to use computers in solving statistics problems.

Offered on a credit/no credit basis only.

**Math V45 - FINITE MATHEMATICS - 3 Units**

Class hours: 3 hours lecture weekly

Designed for students majoring in business or social sciences; matrices, and systems of equations; sets and probability including Bayes' theorem and Markov chains; and an introduction to linear programming.

Transfer credit: CSU; UC; credit limitations - see counselor.
CAN MATH 12.

**Math V46A - APPLIED CALCULUS I - 3 Units**

Prerequisite: Math V04 or Math V20 or the fourth year of high school mathematics (advanced mathematics) with grade of C or better

Class hours: 3 hours lecture weekly

A short course in analytic geometry and calculus for students in business, social science and biology. Topics covered are functions, limits, analytic geometry, differential calculus including related rates, maxima and minima; integral calculus including area and other applications.

Formerly Math 46. Transfer credit: CSU; UC; credit limitations
- see counselor. CAN MATH 30.

**Math V46B - APPLIED CALCULUS II - 3 Units**

Prerequisite: both Math V05 and Math V46A; or Math V21A with grade of C or better

Class hours: 3 hours lecture weekly

Multivariable calculus of algebraic, logarithmic, exponential and trigonometric functions; calculus of probability; infinite series and Taylor's series expansions; introduction to differential equations; business and biology applications.

Transfer credit: CSU; UC; credit limitations - see counselor.

**Math V50 - INTRODUCTION TO COMPUTERS AND COMPUTER LITERACY
- 3 Units**

Hours: 2.5 lecture, 1.5 laboratory weekly

This course introduces the student to the fundamental concepts of computers and computer literacy. Topics include information technology, operating systems, applications software, hardware components, input, output, storage, graphics, hypermedia, multimedia, networking, computer communications, the internet, web page features, computer security, privacy with computer communications, systems analysis, systems design, programming languages, programming methods, management information systems, and the ACM Code of Ethics and Professional Conduct. This course also offers the student an introduction to the historical and social context of computing, including an overview of computer and information sciences as discipline.

Fees will be required. Field trips may be required.

Transfer credit: CSU; UC; credit limitations
- see counselor **CAN CSCI 2.**

**Math V55 - BEGINNING C++ ** - **3 Units**

Prerequisite: Math V03 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better and MATH V50.

Class hours: 2.5 lecture, 1.5 laboratory weekly

This course introduces the student to the concepts of object-oriented programming. The course begins with a review of control structured and data types with emphasis on structured data types and array processing. It then moves to introduce the object-oriented program paradigm, focusing on the definition and use of classes along with fundamentals of object-oriented design. Other topics include an overview of programming language principles, analysis o algorithms, and an introduction to software engineering issues. A complete object-oriented development framework is presented that encourages extensibility, reusability and manages complexity.

Fees will be required. Field trips may be required. Formerly CSV20

Transfer credit: CSU; UC. CAN CSCI 18

**Math V56 -** **BEGINNING JAVA- 3 Units**

Prerequisite: MathV03 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better and MATH V50 or equivalent

Class hours: 2.5 lecture, 1.5 laboratory weekly

This course introduces the student to fundamental concepts of object-oriented programming with Java. Topics include data types, control structures, functions, arrays, files, and the mechanics of running, testing, and debugging. It then moves on to introduce the object-oriented programming paradigm, focusing on the definition and use of classes long with the fundamentals of object-oriented design. The course also offers an introduction to the historical and social context of computing and an overview of computer science as a discipline.

Fees will be required. Field trips may be required. Formerly CS V40

Transfer credit: CSU; UC.

**Math V57 - BEGINNING C - 3 Units**

Prerequisite: Math V03 or 1 year of high school intermediate algebra (Algebra II) with grade of C or better and MATH V50 or equivalentr

Recommended preparations: CS V11 or equivalent

Class hours: 2.5 lecture, 1.5 laboratory weekly

This course introduces the students to programming with C language, included in this course are program design process, C operators, standard I/O functions, strings, pointer, arrays, datatypes, storage classes, file operations, and design of common algorithms. Algorithms are implemented as structured programs in C language.

Fees will be required. Field trips may be required. Formerly CS V80

Transfer credit: CSU; UC. **CAN CSCI 18**

**MathV88 - MATHEMATICS WORKSHOPS - .5-10 Units**

Prerequisite: varies with topics

Hours: lecture and/or laboratory as required by unit formula

Designed to meet specific needs of the college and community, as required and requested by persons whose needs in this area are not met by present course offerings.

Fees may be required. Courses with same title may not be repeated;
may be taken for a maximum of 4 times.

**Math V89 - WORKSHOPS IN MATHEMATICS - .5 - 10 Units**

Prerequisite: varies with topic

Class hours: lecture and/or laboratory as required by unit formula

Designed to meet specific needs of the college and community as required and/or requested by persons whose needs in this area are not met by present course offerings.

Fees may be required. Courses with same title may not be repeated; may
be taken for a maximum of 4 times. Transfer credit: varies with course.

**Math V90 - DIRECTED STUDIES IN MATHEMATICS - 1-6 Units**

Prerequisite: varies with topic

Class hours: lecture and/or laboratory as required by unit formula

This course offers specialized study opportunities for students who wish to pursue projects not included in the regular curriculum. Students are accepted only by written project proposal approved by the discipline prior to enrollment.

Field trips may be required. May be taken for a maximum of 4 times not
to exceed 6 units. Transfer credit: CSU; UC; credit limitations - see counselor.