# 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,

and mathematics of finance with emphasis on applications in business administration,

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 I3 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 II3 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.

Advisory: MATH 402.

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.

Advisory: MATH 402.

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 481Honors
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 Statistics3
Units
**Formerly: STAT 1

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

Advisory: ENGRD 116.

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.