**MATHEMATICS**

NOTE: To enroll in a mathematics course, the student must

satisfy one of the following conditions:

1. The prerequisite must have been completed, OR

2. Appropriate placement level must be demonstrated through

the mathematics assessment process.

NOTE: The District-wide Mathematics Competency Equivalency

Test for Elementary Algebra is given only during the spring and

fall semesters.

**100 Mathematics Workshop (1) (RPT 3) NDA (CR/NCR)**

Corequisite: Current enrollment in any mathematics course.

Recommended: For students concurrently enrolled in any

mathematics course.

This course is designed to increase comprehension of all levels

of mathematics utilizing tutorial assistance from a mathematics

instructor.

**105 Arithmetic for College Students (3) NDA**

This course is designed to give students an understanding of

and a competency in the basic operations of elementary

arithmetic. To attain this mastery, students must have a genuine

desire to remove arithmetic deficiencies. Topics include

operations with whole numbers, common and decimal fractions,

percentages, the study of the metric system and simplified

calculations.

**112 Pre-Algebra (3) NDA**

Prerequisite: Mathematics 105 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

This course bridges the gap between arithmetic and algebra.

It reviews arithmetic and introduces concepts of algebra

including signed numbers, variables, exponents,

mathematical sentences and linear equations.

115 Elementary Algebra (5)

Prerequisite: Mathematics 112 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

This is a first course in algebra. It covers the fundamental

operations on natural numbers and carries on a logical

development through all the real numbers. The course includes

the solution of linear and quadratic equations and their graphs,

factoring and statement problems.

**117 Basic Elementary Algebra I (5)**

Prerequisite: Mathematics 112 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

This course is designed for students who are beginning the

study of algebra. It parallels the first half of the first year algebra

course in high school. Additional topics have been added to the

traditional material.

**118 Basic Elementary Algebra II (5)
**Prerequisite: Mathematics 117 with a grade of "C" or better.

This course parallels the second half of a first-year high school

algebra course, including additional topics such as rational

expressions, radicals and roots, graphs of linear and quadratic

equations, and linear systems.

Prerequisite: Mathematics 115 or 118 with a grade of "C" or

better, or appropriate placement level demonstrated through the

mathematics assessment process.

This is a basic course in the fundamentals of Euclidean plane

geometry, stressing the development of logical proof in a

mathematical system.

NOTE: Mathematics 120 is a prerequisite for Mathematics 241.

Prerequisite: Mathematics 115 or 118 with a grade of "C" or

better, or appropriate placement level demonstrated through the

mathematics assessment process.

Manipulative skills in algebra are developed and strengthened in

the course. The topics include rational exponents, the complete

number system of algebra, algebraic and graphical solutions to

linear and quadratic equations, logarithmic and exponential

functions, elementary theory of equations and inequalities and

conics. A wide variety of statement problems are included in the

course.

215 Principles of Mathematics 1 (3) UC:CSU

Prerequisite: Mathematics 125 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

This course helps students understand topics in mathematics,

including sets, number bases, number systems, logic and

probability. It is recommended for prospective elementary school

teachers.

Prerequisite: Mathematics 125 with a grade of "C" or better, or

equivalent preparation and a satisfactory score on the

Intermediate Algebra Placement test.

This course discusses averages, variability, graphical

techniques, probability, hypothesis testing, sampling,

estimation, correlation, prediction, and linear regression.

Topics include collection and analysis of data and how

inferences about a population are made from that sample.

Prerequisite: Mathematics 125 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

This course covers finite mathematics consisting of sets,

graphing, linear programming, vectors, matrices, linear systems,

combinations, probability, statistics, game theory and Markov

chains, with emphasis on applications in business and social

sciences.

NOTE: Maximum UC credit allowed: two courses from 235 &

236, 261 & 262 combined.

Prerequisites: Mathematics 120 and 125 with a grade of "C" or

better, or appropriate placement level demonstrated through

the mathematics assessment process.

This course consists of elementary differential and integral

calculus; exponential and logarithmic functions, and their

applications to business and social sciences.

NOTE: Maximum UC credit allowed: two courses from 235 &

236, 261 & 262 combined.

**241 Trigonometry (4) CSU**

Prerequisites: Mathematics 120 and 125 with a grade of "C" or

better, or appropriate placement level demonstrated through

the mathematics assessment process.

This course of analytical trigonometry includes solutions of

triangle problems, radian measure, graphs of trigonometric

functions, trigonometric equations, identities, polar coordinates

and inverse trigonometric functions and complex numbers.

**245 College Algebra (3) UC:CSU**

Prerequisite: Math 125 with a grade of "C" or better.

The course discusses relations, functions and their graphs,

matrices and determinants, theory of equations, permutations,

combination, probability, sequences and series, and conic

sections.

260 Pre-Calculus (5) UC:CSU

Prerequisite: Mathematics 241 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

This course in pre-calculus combines the traditional courses of

college algebra and analytic geometry, and covers such topics

as inequalities, functions, matrices and determinants, properties

of the straight line, conic, algebraic and transcendental

functions, and parametric equations.

NOTE: Maximum UC credit 4 units.

**261 Calculus I (5) UC:CSU (CAN MATH 18)**

Prerequisite: Mathematics 260 with a grade of "C" or better, or

appropriate placement level demonstrated through the

mathematics assessment process.

Students learn basic principles and applications of calculus.

Topics include: continuity and limits, differentiation and

integration of algebraic and trigonometric functions, fundamental

theorem of the calculus, applications of the derivative to curve

sketching, rectilinear motion, maximum/minimum problems, and

related rates, applications to the integral to problems of area,

volume, arc length, and work.

**262 Calculus II (5) UC:CSU (CAN MATH 20)**

Prerequisite: Mathematics 261 with a grade of "C" or better.

The second course of calculus deals with the differentiation and

integration of transcendental functions, standard techniques of

integration, curves in polar coordinates, and sequences and

series.

263 Calculus III (5) UC:CSU (CAN MATH 22)

Prerequisite: Mathematics 262 with a grade of "C" or better.

The third course of calculus deals with such topics as

multivariable calculus, partial differentiation, two- and three-dimensional

vectors, Stokes and divergence theorems, and

differential equations.

**270 Linear Algebra (3) UC:CSU (CAN MATH 26)**

Corequisite: Mathematics 263.

This course covers vector spaces, linear transformations and

matrices, matrix algebra. Determinants and solutions of systems

of equations are made.

NOTE: Offered Fall semesters only.

**275 Ordinary Differential Equations (3) UC:CSU**

**(CAN MATH 24)**

Prerequisite: Mathematics 263, which may be taken concurrently.

This course covers first-order differential equations and linear

differential equations. Special methods for solution of these

equations are developed and applied. Transforms are

developed and used for the solution of differential equations and

systems of equations. Existence theorems are stated and proofs

are outlined. Series solutions and operator methods are

included.