Description of Mathematics

Prerequisite: None
Advisory: Concurrent enrollment in another math course.
Hours: 18 hours LEC
This course helps students to recognize common fears and
misconceptions of mathematics, and to overcome math
anxiety and avoidance. Strategies to achieve success in
mathematical situations are discussed. This course is also
useful for tutors, counselors, and teachers interested in helping
others overcome their math anxiety. Credit/No Credit only.

Formerly: MATH 203
Prerequisite: None
Hours: 36 hours LEC
This course will use a variety of realistic consumer -oriented
applications to refresh, reinforce, and extend students’
mastery of basic mathematics concepts. The applications
will include earned wages, buying and maintaining a car,
working with food, budgeting, banking, and other consumer
and job related activities. Calculator use will be an integral
part of the course.

Prerequisite: None
Advisory: Confirm placement using ARC’s Math Self-
Assessment System.
Hours: 54 hours LEC
This course covers fundamentals of arithmetic with an
emphasis on computational skills. Topics include whole
numbers, fractions, decimals, problem solving, and
applications.

Formerly: MATH 215
Prerequisite: MATH 25 with a grade of “C” or better, or
placement through assessment.
Hours: 54 hours LEC
This course will briefly review the fundamentals of arithmetic,
including whole numbers, fractions, and decimals . Course
content will include order of operations, signed numbers,
concepts of variables , exponents, ratios and proportions,
area/perimeter/volume of geometric figures, and solving
equations.

Prerequisite: MATH 32 with a grade of “C” or better or placement through the
assessment process.
Hours: 90 hours LEC
This course includes the fundamental concepts and operations of algebra with
problem solving skills emphasized. Topics include properties of real numbers,
linear equations and inequalities, integer exponents, polynomials, and factoring
polynomials. Other topics include rational exponents and rational/radical
expressions with associated equations. Additional topics introducing the
rectangular coordinate system , focus on graphs and equations of lines, systems
of linear equations/inequalities, and solving quadratic equations . AA/AS area
4C.

Prerequisite: MATH 100 with a grade of “C” or better or placement through the
assessment process.
Hours: 90 hours LEC
This course covers aspects of elementary geometry. Topics include terms and
definitions, properties of parallel lines and parallelograms, congruent and
similar triangles, properties of triangles, right triangles, and basic trigonometry.
Later topics include properties of circles, construction of loci, areas, and
volumes. The course also emphasizes problem solving strategies, elementary
logic, and reading and writing proofs. AA/AS area 4C.

Formerly: MATH 53
Prerequisite: MATH 100 with a grade of “C” or better, or placement through
assessment.
Hours: 90 hours LEC
This course reviews and extends the concepts of elementary algebra with
problem solving skills emphasized throughout. Topics which are reviewed
and extended include linear and quadratic equations, factoring polynomials,
rational expressions, exponents, radicals, equations of lines, and system of
equations . New topics include graphs and their translations and reflections,
functions, exponential and logarithmic functions , graphs of quadratic and
polynomial functions, nonlinear systems of equations, polynomial and rational
inequalities, and an introduction to conic sections . AA/AS area 3D and 4C.

Formerly: MATH 1
Prerequisite: Mathematics 120 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course focuses on elements of mathematical systems. It is designed to
make fundamental concepts and processes more meaningful to the general
student. Its content may include systems, logic, geometry, combinatorics,
probability, statistics, sets, matrices, and number theory. Not recommended
for students entering elementary school teaching or business administration
majors. (CAN MATH 2) AA/AS area 3D and 4C; CSU area B3

Formerly: MATH 2
Prerequisite: Mathematics 110 and 120 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
In this course students will explore mathematical patterns and relations, and
formulate and prove conjectures. Topics from number theory, probability and
statistics, and geometry will be investigated. Recommended for students
interested in education. (CAN MATH 4) AA/AS area 3D & 4C; CSU area
B3.

Formerly: MATH 12
Prerequisite: PHIL 320 or MATH 110, and MATH 120 with a grade of “C”
or better
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course covers an introduction to symbolic logic including the logic of
sentences (the statement calculus) and the logic of classes and relations (the
predicate calculus ), together with an introduction to the nature and
development of deductive systems. Applications include examples of logic
used in elementary mathematics and the analysis of verbal arguments. Not
open to students who have completed PHIL 325. AA/AS area 3D and 4C;
CSU area B3.

Formerly: MATH 3
Prerequisite: MATH 120 with a grade of “C” or better, or placement through
assessment process.
Course Transferable to CSU
Hours: 54 hours LEC
This course focuses on the problem-solving skills necessary to solve both reallife
and nontraditional mathematics problems. Problem-solving strategies
presented in this course include: drawing a diagram, eliminating possibilities,
making a systematic list, looking for a pattern, guessing and checking, solving
an easier related problem, working backward, algebraic representation, finite
differences , and other related techniques. Divergent thinking, group work ,
and the clear presentation of mathematical work will be emphasized
throughout the course. AA/AS area 3D and 4C; CSU area B3.

Prerequisite: MATH 110 and 120 with grades of “C” or better.
Course Transferable to CSU
Hours: 54 hours LEC
This course presents the fundamentals of trigonometry. Topics include
definitions of trigonometric and circular functions, graphs, identities and
applications. Other material covered includes solving trigonometric equations,
solving triangles using the Laws of Sines and Cosines, vectors, polar coordinates
and polar representations of complex numbers . (CAN MATH 8) AA/AS area
3D and 4C; CSU area B3.

Prerequisite: MATH 120 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course is an introduction to differential and integral calculus with
applications in the fields of business, economics, social science and biological
science. It is not recommended for mathematics and physical science majors.
(CAN MATH 34) AA/AS area 3D and 4C; CSU area B3; IGETC area 2.
 

Prerequisite: MATH 120 with a grade of “C” or better.
Course Transferable to CSU
Hours: 54 hours LEC
This course is designed around applications of mathematics in economic and
business contexts. Specific topics include functions and related business
formulas, tables and graphs, finance (interest and exponential models in
economics), rates of change including applications and optimization, and
linear programming. AA/AS area 3D & 4C; CSU area B3.

Formerly: MATH 42
Prerequisite: MATH 120 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course covers sets, probability and combinatorics, expected value, matrix
theory, systems of equations and inequalities, linear programming, and
mathematics of finance with emphasis on applications in business
administration, biological sciences, and social science. It also includes
computer applications. (CAN MATH 12) AA/AS area 3D and 4C; CSU area
B3; IGETC area 2