Description of Mathematics

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.

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.

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.

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.

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.

Prerequisite: MATH 100 with a grade of “C” or better; or placement
through the assessment process.
General Education: AA/AS Area II(b)
Hours: 90 hours LEC
This course reviews and extends the concepts of elementary algebra
with an emphasis on problem solving. Topics which are reviewed
and extended include linear and quadratic equations, factoring polynomials,
rational expressions, exponents, radicals, graphing, 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.

Hours: 9-72 hours LEC
This course is designed to give students an opportunity to study
topics in mathematics not included in current course offerings. Individualized
topics are developed to foster, complement and build
upon arithmetic, geometric and algebraic skills with an emphasis on
critical thinking. The course may be taken four times for a maximum
of 6 credits with no duplication of topics.

Prerequisite: MATH 120 with a grade of “C” or better
General Education: AA/AS Area II(b); CSU Area B4
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.

Prerequisite: MATH 110 and 120 with grades of “C” or better
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course explores mathematical patterns and relations, and formulation
and proof of conjectures. Topics from number theory,
probability and statistics, and geometry will be investigated. Recommended
for students interested in education.

Prerequisite: MATH 120 with a grade of “C” or better
General Education: AA/AS Area III(b)
Enrollment Limitation: Current TB clearance is required prior to work
in schools. Fingerprinting may also be required.
Course Transferable to CSU
Hours: 36 hours LEC; 54 hours LAB
This course is an education-based field experience in mathematics
allowing students to explore teaching as a career choice. Students
are assigned to area schools to observe and/or assist in a mathematics
classroom. Students have the opportunity to learn and practice
essential skills to assist younger students with their progress through
the mathematics sequence, and to learn about social, cultural, and
educational issues related to mathematics and the school environment.
Weekly seminars allow students to share experiences and compare
observations. This course is recommended for those who may
wish to pursue a single-subject credential in mathematics.

Same As: PHIL 325
Prerequisite: PHIL 320 or MATH 110, and MATH 120 with a grade
of “C” or better.
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course covers an introduction to symbolic logic including the
logic of sentences (the statement of 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.

Prerequisite: MATH 120 with a grade of “C” or better; or placement
through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to CSU
Hours: 54 hours LEC
This course focuses on the problem-solving skills necessary to solve
both real-life 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.

Prerequisite: MATH 110 and 120 with grades of “C” or better
General Education: AA/AS Area II(b); CSU Area B4
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.

Prerequisite: MATH 120 with a grade of “C” or better
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2
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.

Prerequisite: MATH 120 with a grade of “C” or better
General Education: AA/AS Area II(b); CSU Area B4
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.