Description of Mathematics & Statistics

MATH 343
Modern Business Mathematics
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
Course Transferable to CSU
Hours: 72 hours LEC

This course is designed around applications of mathematics in an
economic and business context. The major topics included are
function, finance (interest and exponential models ), rates of change,
optimization, and linear programming . The content of the course is
structured to incorporate tables, graphs and data sets collected from
real-world situations. This course is not recommended for mathematics
or physical science majors.

MATH 344
Finite Mathematics
3 Units

Prerequisite: MATH 120 or 125 with a grade of “C” or better;
or equivalent skills demonstrated through the assessment
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2A
Course Transferable to UC/CSU
Hours: 54 hours LEC

Topics covered in this course include set theory, matrix algebra,
simplex method of linear programming, Markov process, game theory,
mathematics of finance including present value and annuities,
and probability and statistics with application in the field of business,
social science and biological sciences.

MATH 350
Calculus for the Life and Social Sciences I
3 Units

Prerequisite: MATH 335 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 2
Course Transferable to UC/CSU
See UC Limitations & Counselor
Hours: 54 hours LEC

This course is an introduction to calculus. Topics include functions,
trigonometric functions , limits, analytic geometry, and differential
calculus with applications to business, social, and biological sciences.
This course is intended for students majoring in social and
biological sciences.

MATH 351
Calculus for the Life and Social Sciences II
3 Units

Prerequisite: MATH 350 with a grade of “C” or better
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2A
Course Transferable to UC/CSU
See UC Limitations & Counselor
Hours: 54 hours LEC

This course is a continuation of Math 350. Topics include:
definite and indefinite integrals, power series, analytic geometry,
multivariate calculus, and differential equations with applications to
business, social, and biological sciences.

MATH 370
Pre-Calculus Mathematics
5 Units

Prerequisite: MATH 335 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 2
Course Transferable to UC/CSU
Hours: 90 hours LEC

This course is designed to prepare students for calculus sequence.
Course content includes a brief review followed by an in-depth
extension of the properties of polynomial , rational, exponential,
logarithmic , and trigonometric functions. Additional topics include
systems of linear and non-linear equations and inequalities,
conic sections, sequences and series, analytic geometry, vectors,
parametric, and polar equations. A graphing calculator may be
required for this course.

MATH 400
Calculus I
5 Units

Prerequisite: MATH 370 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 2
Course Transferable to UC/CSU
See UC Limitations & Counselor
Hours: 90 hours LEC

This course explores the basic concepts of analytic geometry, limits,
derivatives, and integrals. Topics covered will include the graphs,
derivatives, and integrals of algebraic, trigonometric, exponential,
logarithmic, and hyperbolic functions, and indeterminate forms.
Many applications will be covered, including those involving rectilinear
motion, differentials, related rates, graphing, and optimization.

MATH 401
Calculus II
5 Units

Prerequisite: MATH 400 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
See UC Limitations & Counselor
Hours: 90 hours LEC

This course is a continuation of MATH 400. Topics covered include
techniques of integration, numerical integration , improper integrals,
infinite series, parametric equations, polar coordinates, and conic
sections. Many applications will be covered including those involving
areas between plane regions, volumes of revolution, work, moments
and concepts of mass, average value, arc length, and surface area.

MATH 402
Calculus III
5 Units

Prerequisite: MATH 401 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
See UC Limitations & Counselor
Hours: 90 hours LEC

This course extends the concepts of limits, derivatives and integrals
to vector- valued functions and functions of more than one variable.
Topics covered will include three-dimensional analytic geometry and
vectors, partial derivatives, multiple integrals, line integrals , surface
integrals, and the theorems of Green, Gauss (Divergence), and Stokes.
Many applications of the calculus will be included.

MATH 410
Introduction to Linear Algebra
3 Units

Prerequisite: MATH 400 with a grade of “C” or better
Advisory: MATH 402 (may be taken concurrently)
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 54 hours LEC

This course introduces linear algebra. Topics include matrices,
determinants, systems of equations, vector spaces, linear
transformations, eigenvectors, and applications. This course is intended
for majors in mathematics, engineering, science, and related fields.

MATH 420
Differential Equations
4 Units

Prerequisite: MATH 401 with a grade of “C” or better
Advisory: MATH 402 (may be taken concurrently)
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 72 hours LEC

This course will cover the theory and the applications of the
solutions of ordinary differential equations and systems of ordinary
differential equations. The course will introduce students to various
topics useful in the solution of differential equations including power
series, Laplace transforms, matrices, eigenvalues and eigenvectors,
and numerical methods.

MATH 480
Honors Seminar in Mathematics
1 Unit

Same As: HONOR 390
Prerequisite: MATH 370 with a grade of “C” or better
Course Transferable to UC/CSU
See UC Limitations & Counselor
Hours: 18 hours LEC

Honors Seminars in Mathematics are special one-unit intensive courses
for academically accomplished students or those with the potential
for high academic achievement. In these seminars, students will study
advanced topics from the area of mathematics and will be expected
to do independent problem solving and present their solutions to the
class. Enrollment is limited to Honors Program students (see catalog).
This course is the same as HONOR 390. This course, under either
name, may be taken a total of four times for credit. See “Cross-Listed
Courses” in catalog.

MATH 495
Independent Studies in Mathematics
1-3 Units

Prerequisite: None
Course Transferable to CSU
See UC Limitations & Counselor
Hours: 18 hours LEC ; 54 hours LAB

MATH 499
Experimental Offering in Mathematics
.5-4 Units

Prerequisite: None
Course Transferable to CSU
See UC Limitations & Counselor
Hours: 36 hours LEC ; 54 hours LAB

Statistics (STAT)

STAT 300
Introduction to Probability and Statistics
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 2
Course Transferable to UC/CSU
See UC Limitations & Counselor
Hours: 72 hours LEC

This course is an introduction to probability and statistics.
Topics include: elementary principles and applications of descriptive
statistics, counting principles, elementary probability principles,
probability distributions , estimation of parameters, hypothesis testing,
linear regression and correlation, and ANOVA. Scientific calculators
with two - variable statistics capabilities may be required.

STAT 495
Independent Studies in Statistics
1-3 Units

Prerequisite: None
Course Transferable to CSU
See UC Limitations & Counselor
Hours: 18 hours LEC ; 54 hours LAB

STAT 499
Experimental Offering in Statistics
.5-4 Units

Prerequisite: None
Course Transferable to CSU
See UC Limitations & Counselor
Hours: 18 hours LEC ; 54 hours LAB