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# 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
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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