# Course Descriptions for Mathematics

Note: To enroll in a mathematics course, the student must
satisfy one of

the following conditions:

• The prerequisite must have been completed, OR

• 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) NDA (RPT 3)**

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 (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 .

**105A Arithmetic for College Students A (1) NDA**

This is the first of three modules in a course designed to give the student an

understanding of and a competency in the basic operations of elementary

arithmetic. Topics include operations with whole numbers and decimals,

and simplified calculations.

105B Arithmetic for College Students B (1) NDA

This is the second of three modules in a course designed to give the

student an understanding of and a competency in the basic operations of

elementary arithmetic. Topics include operations with fractions and mixed

numbers.

105C Arithmetic for College Students C (1) NDA

This is the third of three modules in a course designed to give the

student an understanding of and a competency in the basic operations

of elementary arithmetic. Topics include rates, ratios, percents and their

applications.

**110 Introduction to Algebraic Concepts (5)**

Discusses abstract ideas necessary for understanding algebra and reviews

selected topics in arithmetic relevant to algebra. Introduces fundamental

notions of algebra including signed numbers , variables, simple equations,

proportional reasoning, applications, and modeling. This course also

includes group work instruction in mathematics study skills.

**110A Introduction to Algebraic Concepts A (2.5)**

Discusses abstract ideas necessary for understanding algebra and reviews

selected topics in arithmetic relevant to algebra. Introduces fundamental

notions of algebra including signed numbers, variables, simple equations,

proportional reasoning, applications, and modeling. This course also

includes group work instruction in mathematics study skills. This is the

first half of Math 110.

**110B Introduction to Algebraic Concepts B (2.5)**

Discusses abstract ideas necessary for understanding algebra and reviews

selected topics in arithmetic relevant to algebra. Introduces fundamental

notions of algebra including signed numbers, variables, simple equations,

proportional reasoning, applications, and modeling. This course also

includes group work instruction in mathematics study skills. This course

is the second half of Math 110.

**111 Topics in Mathematics (3)**

Corequisite: Learning Skills 10A and 10B

Applications of mathematics in the social sciences and life sciences,

with emphasis on problem- solving , proportional reasoning, and math

study skills. This course is part of the Freshman Academic Community

Experience (FACE) Program.

**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 (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 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.

120 Plane Geometry (5)

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.

125 Intermediate Algebra (5)

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.

**127 Basic Intermediate Algebra I (5)**

Prerequisite: Mathematics 115 or 118 with a grade of “C” or better, or

appropriate placement level demonstrated through the mathematics

assessment process.

Corequisite: SLA Tutoring 1T - Section #8982 for all sections.

This course covers the first half of Math 125 with additional topics.

Manipulative skills in algebra are developed and strengthened in the

course. The topics include linear equations and inequalities, graphs

and functions, systems of equations and inequalities, and polynomials

and factoring. A wide variety of statement problems are included in the

course.

128 Basic Intermediate Algebra II (5)

Prerequisite: Mathematics 127 with a grade of “C” or better, or appropriate

placement level demonstrated through the mathematics assessment

process.

Corequisite: SLA Tutoring 1T - Section #8982 for all sections.

This course covers the second half of Math 125 with additional topics.

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 I (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.

**227 Statistics (4) UC:CSU (CAN STAT 2)**

(Formerly Mathematics 225 + 226)

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.

235 Finite Mathematics (5) UC:CSU

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.

**236 Calculus for Business and Social Sciences (5)
UC: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 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 with Vectors (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: Mathematics 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 is 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 of 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.

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