# Description of Mathematics & Statistics

**MATH 102
Elementary Algebra - Part II
3 Units**

Prerequisite: MATH 101 with a grade of “C” or better;

or equivalent skills demonstrated through the assessment process

Hours: 54 hours LEC

A continuation of MATH 101, this course presents the
fundamental

concepts and operations of algebra with problem solving and critical

thinking skills incorporated throughout. Topics covered include:

factoring and applications ; operations on rational expressions and

solving rational equations; rectangular coordinate systems ; graphing

lines and linear inequalities ; equation of lines; roots and radical

expressions; solving quadratic equations; complex numbers;

continued study of problem solving and applications.

**MATH 106
Mathematics for Technical Fields
3 Units**

Prerequisite: MATH 30 with a grade of “C” or better;

or equivalent skills demonstrated through the assessment process

Hours: 54 hours LEC

This course develops basic concepts of algebra and
geometry with

emphasis on mathematical problem solving. Applications to technical

fields will be used to motivate the study of mathematics. Technical

applications will include (but are not limited to) electronics, auto

mechanics, construction, landscaping, photography, fire science,

welding and drafting. This course fulfills the AA/AS general education

requirement for communication and analytical thinking; it does not

fulfill the mathematics competency requirement, nor does it fulfill the

prerequisite for MATH 120 or MATH 125.

**MATH 110
Elementary Geometry
5 Units**

Prerequisite: MATH 100 or 102 with a grade of “C” or
better;

or equivalent skills demonstrated through the assessment process

General Education: AA/AS Area II(b)

Hours: 90 hours LEC

This course introduces Euclidean Geometry. Topics include
sets,

definitions, postulates, theorems, deductive and inductive reasoning,

proof, parallel lines, triangles, polygons, congruence, similarity,

constructions, the Pythagorean Theorem, right triangle trigonometry,

circles, analytic geometry, and elementary solid geometry.

**MATH 112
Elementary Geometry
3 Units**

Prerequisite: MATH 100 or 102 with a grade of “C” or
better;

or equivalent skills demonstrated through the assessment process

Hours: 54 hours LEC

This course introduces Euclidean geometry. Topics include
the

axiomatic system, deductive and inductive reasoning, proof, triangles,

quadrilaterals, congruence, similarity, constructions, the Pythagorean

Theorem, area, and volume.

**MATH 120
Intermediate Algebra
5 Units**

Prerequisite: MATH 100 or 102 with a grade of “C” or
better;

or equivalent skills demonstrated 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 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 systems of equations. New topics include:

graphs and their translations and reflections, functions, exponential

and logarithmic functions , graphs of quadratic and simple polynomial

functions, nonlinear systems of equations, quadratic inequalities,

and an introduction to graph of circles.

**MATH 125
Intermediate Algebra with Applications
4 Units**

Prerequisite: MATH 100 or 102 with a grade of “C” or
better;

or equivalent skills demonstrated through the assessment process

General Education: AA/AS Area II(b)

Hours: 72 hours LEC

This course is designed for the intermediate algebra
student who plans

to continue into STAT 300, MATH 310 (Mathematical Discovery), or

MATH 343 (Business Mathematics). The course topics include linear

behavior, functions and graphs, exponential and logarithmic functions,

systems, and polynomial, rational, exponential, logarithmic and radical

expressions and equations. This course will feature discovery activities

and applications to real data sets and problems which are current

and relevant. This course does not fulfill the prerequisite for MATH 335.

**MATH 295
Independent Studies in Mathematics
1-3 Units**

Prerequisite: None

Hours: 18 hours LEC ; 54 hours LAB

**MATH 299
Experimental Offering in Mathematics
.5-4 Units**

Prerequisite: None

Hours: 18 hours LEC ; 54 hours LAB

**MATH 300
Introduction to Mathematical Ideas
3 Units**

Prerequisite: MATH 120 or 125 with a grade of “C” or
better;

or equivalent skills demonstrated through the assessment process

General Education: AA/AS Area II(b); CSU Area B4

Course Transferable to CSU

Hours: 54 hours LEC

Introduction to Mathematical Ideas allows liberal arts
students to

meet general education mathematics requirements while exploring

concepts and objects of mathematics in a meaningful way. This course

is designed to show some of the essence and quality of mathematics,

and to enhance precision in the evaluation and expression of ideas,

thereby developing a student’s quantitative reasoning skills. It is

recommended primarily for students who do not plan to major in a

math-related field, but may be of interest to others as well.

Course content may include topics from numeration systems, logic,

geometry, probability, statistics, algebraic modeling, number theory ,

consumer mathematics, graph theory, voting and apportionment,

and perhaps others; concepts of contemporary mathematics may

be covered. Emphasis is placed on the deductive process.

**MATH 310
Mathematical Discovery
3 Units**

Prerequisite: MATH 112 or Geometry; AND MATH 120 or 125

with grades of “C” or better; or equivalent skills demonstrated

through the assessment process

General Education: AA/AS Area II(b); CSU Area B4

Course Transferable to CSU

Hours: 54 hours LEC

This course is designed to introduce students to the
spirit of

mathematics by involving them in the mathematical process of

exploration, conjecture, and proof. Students will explore mathematical

patterns and relations, formulate conjectures, and prove their

conjectures. Areas of mathematics from which content may be derived

include number theory, statistics, probability, geometry, and sequences

and series. This course is recommended for students interested in a

career in education.

**MATH 315
Exploratory Field Experience in Mathematics
3 Units**

Prerequisite: MATH 120 or 125 with a grade of “C” or
better;

or equivalent skills demonstrated through the assessment process

General Education: AA/AS Area III(b)

Course Transferable to UC/CSU

Hours: 36 hours LEC ; 54 hours LAB

This course is an education-based field experience in
mathematics

designed to allow students to explore learning styles, learning

environments and learning methods as they apply to tutoring and

teaching mathematics. While exploring teaching as a career choice,

students will have the opportunity to learn and practice essential skills

to motivate and assist younger students with their progress through

the mathematics curriculum. Students will be assigned to area schools

to observe and assist in a mathematics classroom and to work with

selected students in structured one-on-one or group settings. Weekly

seminars will allow students to share experiences and compare

observations. Students will also have the opportunity to explore their

own cognitive learning styles and consider how these learning styles

relate to mathematics both as learner and as teacher. Students will

have the opportunity to learn about social, cultural, and educational

issues related to mathematics and the school environment. This

course is recommended for students considering a major in teaching

preparation who may wish to pursue either a multiple subject credential

or a single subject credential in mathematics. Prior to beginning work

in the schools, students may be required to be fingerprinted and pass a

TB test. This course may be taken two times for credit.

**MATH 335
Trigonometry with College Algebra
5 Units**

Prerequisite: MATH 112 or Geometry; AND MATH 120;

with grades of “C” or better; or equivalent skills demonstrated

through the assessment process

General Education: AA/AS Area II(b); CSU Area B4

Course Transferable to CSU

Hours: 90 hours LEC

This is a full trigonometry course with algebra concepts
reviewed,

extended, and integrated when they are relevant to the trigonometric

concepts. The trigonometric topics include right triangle trigonometry,

unit circle trigonometry, graphs of trigonometric functions, proofs of

trigonometric identities, solving trigonometric equations, applications

of trigonometric functions ( law of sines and cosines), and inverse

trigonometric functions. The algebra topics include exponential and

logarithmic functions, complex numbers, conic sections, the polar

coordinate system, and solving equations, inequalities, and systems

of equations.

**MATH 341
Calculus for Business and Economics
4 Units**

Prerequisite: MATH 120 or 125 with a grade of “C” or
better;

or equivalent skills demonstrated through the assessment process

General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2A

Course Transferable to UC/CSU

See UC Limitations & Counselor

Hours: 72 hours LEC

This course offers an introduction to the concepts and
techniques

of sets, functions, limits, analytic geometry and the differential and

integral calculus. This course is intended for business students; it is not

recommended for mathematics and physical science majors.

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