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# Course Descriptions for Mathematics

MATH 344 Finite Mathematics 3 Units
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,
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

MATH 350 Calculus for the Life and Social Sciences I 3 Units
Prerequisite: MATH 330 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course covers functions, limits, and derivatives, and introduces antiderivatives.
Algebraic and computational techniques are emphasized in
applications from business, and social and biological sciences. It is not
recommended for math or engineering majors. (CAN MATH 30) (MATH
SEQ D) AA/AS area 3D and 4C; CSU area B3; IGETC area 2.

MATH 351 Calculus for the Life and Social Sciences II 3 Units
Formerly: MATH 16B
Prerequisite: MATH 350 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course is the continuation of MATH 350. It covers integration and
differentiation of commonly used functions, and applications of analytic
geometry and calculus. (CAN MATH 32) (MATH SEQ D) AA/AS area
4C; CSU area B3; IGETC area 2

MATH 360 Introduction to Scientific Graphing Calculators 1 Unit
Formerly: MATH 28
Prerequisite: MATH 330 with a grade of “C” or better or placement through
assessment.
Course Transferable to CSU
Hours: 18 hours LEC
This course introduces the basic functions and applications of scientific
graphic calculators. It covers plotting, evaluating, and solving functions.
It also discusses calculator-based solutions of problems from algebra and
trigonometry; and introduces techniques that will be useful in subsequent
courses like precalculus and calculus. A calculator of a model and type that
will be specified by instructor is required.

MATH 370 Pre-Calculus Mathematics 5 Units
Prerequisite: MATH 330 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course includes application and graphing of polynomial, logarithmic,
exponential and trigonometric functions, as well as systems of linear and
non-linear equations and inequalities. It also covers analytic geometry
including straight lines, conic sections, graphing and curve sketching. (CAN
MATH 16) AA/AS area 3D and 4C; CSU area B3; IGETC area 2.

MATH 400 Calculus I 5 Units
Prerequisite: MATH 370 with a grade of “C” or better.
Advisory: Students who took Precalculus in a non-college setting should confirm
adequate preparation for Math 400 using ARC’s Math Self-Assessment System.
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course is an introduction to differential and integral calculus. It includes
limits, continuity, differentiation and integration of algebraic, trigonometric,
logarithmic, exponential and other transcendental functions.
Some applications are also included. (CAN MATH 18) (MATH SEQ B)
AA/AS area 3D and 4C; CSU area B3; IGETC area 2

MATH 401 Calculus II 5 Units
Prerequisite: MATH 400 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course is a continuation of MATH 400. Its content will include techniques
of integration, improper integrals, indeterminate forms, applications
of integration, infinite series, parametric equations and polar coordinates.
(CAN MATH 20) (MATH SEQ B ) AA/AS area 4C; CSU area B3; IGETC
area 2

MATH 402 Calculus III 5 Units
Prerequisite: MATH 401 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course is a continuation of MATH 401. It Includes calculus of functions
of more than one variable, partial derivatives, extreme of functions of
more than one variable, multiple integration, development of the vector
calculus, line integrals, three dimensional analytic geometry and the theorems
of Green, Gauss (Divergence), and Stokes. (CAN MATH 22)
(MATH SEQ C) AA/AS area 4C; CSU area B3; IGETC area 2

MATH 410 Introduction to Linear Algebra 3 Units
Formerly: MATH 35
Prerequisite: MATH 400 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course provides an introduction to linear algebra including matrices,
determinants, vector spaces, linear transformations, eigenvectors. It is intended
for majors in mathematics, engineering, economics, science and
related fields. (CAN MATH 26) AA/AS area 4C; CSU area B3; IGETC
area 2.

MATH 420 Differential Equations 4 Units
Formerly: MATH 9D
Prerequisite: Mathematics 401 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 72 hours LEC
This course is a study of ordinary differential equations with emphasis on
linear equations and systems of linear equations. It includes infinite series
and, Laplace transform and matrix methods of solution. It stresses applications
to engineering problems. It is recommended for electrical, mechanical,
industrial, ceramic, and petroleum engineers, and for mathematics and
physical science majors. (CAN MATH 24) AA/AS area 4C; CSU area B3;
IGETC area 2.

MATH 481 Honors Applications of Calculus 1 Unit
Formerly: MATH 8H
Prerequisite: Cumulative GPA of 3.0 or better; MATH 402 with a grade of ” C”
or better, and ENGWR 300 or 480 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 18 hours LEC
This course focuses on professional applications of mathematics in such
fields as biomathematics, economics, political science, computer science,
earth science, social sciences and psychology. AA/AS area 4C
American River College Catalog 2006-2007 209
Mathematics & Statistics

MATH 1000 Individualized Mathematics 3-5 Units
Prerequisite: None
Advisory: Determine or confirm placement using ARC’s Math Self-Assessment
System.
Hours: 90 hours LEC
This program is an open-entry/open-exit, independent study approach for
students wishing to take MATH 32 (Prealgebra, 3 units), MATH 100
(Elementary Algebra, 5 units), or MATH 120 (Intermediate Algebra, 5
units). During the first class meeting, students choose the specific course in
which to enroll. For students who do not have a prerequisite, course placement
should be determined by ARC’s on-line self-assessment system. Students
who complete one course may advance immediately to the next one.
Students may choose to complete a course in one semester (or less), or take
up to two semesters. Unit credit is only awarded for the semester in which
the course is completed. Students who receive a notation of ¿In Progress¿
must register in the same individualized course the following semester in
order to complete the course and receive full unit credit. Computer-based
instruction is an integral component. Work may be done on campus (computers
available) or off campus (software runs on PC Windows or
Macintosh w/virtual PC software).

## Statistics

STAT 301 Introduction to Probability and Statistics 3 Units
Formerly: STAT 1
Prerequisite: MATH 120 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course will introduce basic concepts of probability and statistics. It
will include analysis of data, probability, distributions, tests of hypothesis,
estimation, regression and correlation, and analysis of variance. Related
application to psychology, social science, natural science, business and engineering
will be explored. A scientific calculator that has a stat package (2-
variable) is used throughout the course. (CAN STAT 2) AA/AS area 3D and
4C; CSU area B3; IGETC area 2.

STAT 481 Introduction to Probability and Statistics - Honors 3 Units
Formerly: STAT 1H
Prerequisite: Cumulative GPA of 3.0 or better; MATH 120 with a grade of “C”
or better, and ENGWR 300 or 480 with a grade of “C” or better.
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course is an introduction to the concepts of statistics with a strong
emphasis on the understanding and appreciation of the role of statistics in
real life situations including computer analysis of real data. In addition to
the topics presented in STAT 301, this honors course will include either
additional topics of non-parametric statistics, design-of-experiment issues
ensuring validity, analysis of variance and multiple regression or an applied
research term paper using statistical methods and data collected from a
work environment. AA/AS area 3D & 4C; CSU area B3; IGETC area 2.