MATHEMATICS Course Descriptions

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.

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.

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.

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 II (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 (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.