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Mathematics & Statistics
Degree: A.S. - Mathematics Area: Mathematics
A.S. - Mathematics-Physical Science Dean: Mary Jones
Phone: (916) 484-8215
Counseling: (916) 484-8572
The A.S. degree program in mathematics gives Mathematics
students the opportunity to complete lower-division
coursework, in preparation for transfer to a four- MATH 10 Developing Confidence in Math
year program in mathematics. 1 Unit
Mathematics Prerequisite: None
Advisory: Concurrent enrollment in another math course.
Requirements for Degree Major 25 units Hours: 18 hours LEC
This course helps students to recognize common fears and
Courses Required Units misconceptions of mathematics, and to overcome math
anxiety and avoidance. Strategies to achieve success in
MATH 400 5 mathematical situations are discussed. This course is also
MATH 401 5 useful for tutors, counselors, and teachers interested in helping
MATH 402 5 others overcome their math anxiety. Credit/No Credit only.
MATH 410 3
MATH 420 4 MATH 12 Mathematics for the Home and
and one course selected from: Workplace 2 Units
STAT 301, MATH 320/PHIL 325 3 Formerly: MATH 203
Recommended Electives Prerequisite: None
PHYS 410; One course selected from: CISP 340, 360, or 365. Hours: 36 hours LEC
This course will use a variety of realistic consumer-oriented
applications to refresh, reinforce, and extend students’
Mathematics/Physical Science mastery of basic mathematics concepts. The applications
will include earned wages, buying and maintaining a car,
working with food, budgeting, banking, and other consumer
This is a broad study in the field of mathematics and job related activities. Calculator use will be an integral
and physical sciences. Eighteen units of transfer part of the course.
level course work are required in addition to other MATH 25 Computational Arithmetic
graduation requirements. Courses may be select- 3 Units
ed from astronomy, chemistry, engineering, geolo- Prerequisite: None
gy, mathematics, physical geography, physical sci- Advisory: Confirm placement using ARC’s Math Self-
ence, physics and statistics. See Graduation re- Assessment System.
Hours: 54 hours LEC
quirements listed elsewhere in the catalog. This course covers fundamentals of arithmetic with an
emphasis on computational skills. Topics include whole
General Education Graduation Requirements: In addition to numbers, fractions, decimals, problem solving, and
completing the degree requirements, students must also complete applications.
the general education graduation requirements for an A.A./A.S.
degree. See ARC graduation requirements. MATH 32 Pre-Algebra 3 Units
Formerly: MATH 215
Prerequisite: MATH 25 with a grade of “C” or better, or
placement through assessment.
Hours: 54 hours LEC
This course will briefly review the fundamentals of arithmetic,
including whole numbers, fractions, and decimals. Course
content will include order of operations, signed numbers,
concepts of variables, exponents, ratios and proportions,
area/perimeter/volume of geometric figures, and solving
equations.
206 American River College 2005-2006
Mathematics & Statistics
MATH 100 Elementary Algebra 5 Units This course covers an introduction to symbolic logic including the logic of
Prerequisite: MATH 32 with a grade of “C” or better or placement through the sentences (the statement calculus) and the logic of classes and relations (the
assessment process. predicate calculus), together with an introduction to the nature and
Hours: 90 hours LEC development of deductive systems. Applications include examples of logic
This course includes the fundamental concepts and operations of algebra with used in elementary mathematics and the analysis of verbal arguments. Not
problem solving skills emphasized. Topics include properties of real numbers, open to students who have completed PHIL 325. AA/AS area 3D and 4C;
linear equations and inequalities, integer exponents, polynomials, and factoring CSU area B3.
polynomials. Other topics include rational exponents and rational/radical MATH 325 Problem-Solving 3 Units
expressions with associated equations. Additional topics introducing the
rectangular coordinate system, focus on graphs and equations of lines, systems Formerly: MATH 3
of linear equations/inequalities, and solving quadratic equations. AA/AS area Prerequisite: MATH 120 with a grade of “C” or better, or placement through
4C. assessment process.
Course Transferable to CSU
MATH 110 Elementary Geometry 5 Units Hours: 54 hours LEC
Prerequisite: MATH 100 with a grade of “C” or better or placement through the This course focuses on the problem-solving skills necessary to solve both real-
assessment process. life and nontraditional mathematics problems. Problem-solving strategies
Hours: 90 hours LEC presented in this course include: drawing a diagram, eliminating possibilities,
This course covers aspects of elementary geometry. Topics include terms and making a systematic list, looking for a pattern, guessing and checking, solving
definitions, properties of parallel lines and parallelograms, congruent and an easier related problem, working backward, algebraic representation, finite
similar triangles, properties of triangles, right triangles, and basic trigonometry. differences, and other related techniques. Divergent thinking, group work,
Later topics include properties of circles, construction of loci, areas, and and the clear presentation of mathematical work will be emphasized
volumes. The course also emphasizes problem solving strategies, elementary throughout the course. AA/AS area 3D and 4C; CSU area B3.
logic, and reading and writing proofs. AA/AS area 4C. MATH 330 Trigonometry 3 Units
MATH 120 Intermediate Algebra 5 Units Prerequisite: MATH 110 and 120 with grades of “C” or better.
Formerly: MATH 53 Course Transferable to CSU
Prerequisite: MATH 100 with a grade of “C” or better, or placement through Hours: 54 hours LEC
assessment. This course presents the fundamentals of trigonometry. Topics include
Hours: 90 hours LEC definitions of trigonometric and circular functions, graphs, identities and
This course reviews and extends the concepts of elementary algebra with applications. Other material covered includes solving trigonometric equations,
problem solving skills emphasized throughout. Topics which are reviewed solving triangles using the Laws of Sines and Cosines, vectors, polar coordinates
and extended include linear and quadratic equations, factoring polynomials, and polar representations of complex numbers. (CAN MATH 8) AA/AS area
rational expressions, exponents, radicals, equations of lines, and system of 3D and 4C; CSU area B3.
equations. New topics include graphs and their translations and reflections, MATH 340 Calculus for Business and Economics
functions, exponential and logarithmic functions, graphs of quadratic and
polynomial functions, nonlinear systems of equations, polynomial and rational 3 Units
inequalities, and an introduction to conic sections. AA/AS area 3D and 4C. Prerequisite: MATH 120 with a grade of “C” or better.
MATH 300 Introduction to Mathematical Ideas 3 Units Course Transferable to UC/CSU
Hours: 54 hours LEC
Formerly: MATH 1 This course is an introduction to differential and integral calculus with
Prerequisite: Mathematics 120 with a grade of “C” or better. applications in the fields of business, economics, social science and biological
Course Transferable to UC/CSU science. It is not recommended for mathematics and physical science majors.
Hours: 54 hours LEC (CAN MATH 34) AA/AS area 3D and 4C; CSU area B3; IGETC area 2.
This course focuses on elements of mathematical systems. It is designed to MATH 342 Modern Business Mathematics 3 Units
make fundamental concepts and processes more meaningful to the general
student. Its content may include systems, logic, geometry, combinatorics, Prerequisite: MATH 120 with a grade of “C” or better.
probability, statistics, sets, matrices, and number theory. Not recommended Course Transferable to CSU
for students entering elementary school teaching or business administration Hours: 54 hours LEC
majors. (CAN MATH 2) AA/AS area 3D and 4C; CSU area B3 This course is designed around applications of mathematics in economic and
business contexts. Specific topics include functions and related business
MATH 310 Mathematical Discovery 3 Units formulas, tables and graphs, finance (interest and exponential models in
Formerly: MATH 2 economics), rates of change including applications and optimization, and
Prerequisite: Mathematics 110 and 120 with a grade of “C” or better. linear programming. AA/AS area 3D & 4C; CSU area B3.
Course Transferable to UC/CSU MATH 344 Finite Mathematics 3 Units
Hours: 54 hours LEC
In this course students will explore mathematical patterns and relations, and Formerly: MATH 42
formulate and prove conjectures. Topics from number theory, probability and Prerequisite: MATH 120 with a grade of “C” or better.
statistics, and geometry will be investigated. Recommended for students Course Transferable to UC/CSU
interested in education. (CAN MATH 4) AA/AS area 3D & 4C; CSU area Hours: 54 hours LEC
B3. This course covers sets, probability and combinatorics, expected value, matrix
theory, systems of equations and inequalities, linear programming, and
MATH 320 Symbolic Logic (Same as Philosophy 325) mathematics of finance with emphasis on applications in business
3 Units administration, biological sciences, and social science. It also includes
Formerly: MATH 12 computer applications. (CAN MATH 12) AA/AS area 3D and 4C; CSU area
Prerequisite: PHIL 320 or MATH 110, and MATH 120 with a grade of “C” B3; IGETC area 2
or better
Course Transferable to UC/CSU
Hours: 54 hours LEC
American River College 2005-2006 207
Mathematics & Statistics
Mathematics Courses
Math 25 Boxes with dashed
Math 32 lines indicate
Computational courses available as
Arithmetic Pre- Algebra Math 1000 in the
(formerly Math 204) (formerly Math 215) Math Learning
3 units 3 units Center
Math 10 Math 100
Overcoming Math Beginning Algebra
Anxiety (formerly Math 51)
(formerly Math 202) 5 units
1 unit
Math 110 Math 120
Elementary Intermediate
Geometry Algebra
(formerly Math 52) (formerly Math 53)
5 units 5 units
Math 300
Introduction to
Mathematical Ideas
Math310 Math 320 Math 330 (formerly Math 1)
Mathematical Introduction 3 units
Trigonometry
Discovery to Symbolic Logic (formerly Math 15)
(formerly Math 2) (formerly Math 12) 3 units
3 units 3 units Math 325
Problem Solving
(formerly Math 3)
3 units
Math 370
Math 350 Precalculus
Calculus for Social (formerly Math 29)
& Life Sciences I 5 units Math 340
(formerly Math 16A) Calculus for Business
3 units and Economics
(formerly Math 43)
Math 400 3 units
Calculus I
Math 351 (formerly Math 9A)
Calculus for Social 5 units Math 342
& Life Sciences II Modern Business
(formerly Math 16B) Mathematics
3 units (formerly Math 44)
3 units
Math 401
Calculus II
(formerly Math 9B)
5 units
Statistics 301
Intro to Probability
& Statistics
Math 402 (formerly Math 1)
Calculus III 3 units
(formerly Math 9C)
Math 410 5 units
Math 420
Introduction to Differential
Linear Algebra Equations
(formerly Math 35) (Advisory) (formerly Math 9D)
3 units 4 units
208 American River College 2005-2006
Mathematics & Statistics
MATH 350 Calculus for the Life and Social Sciences I MATH 402 Calculus III 5 Units
3 Units Prerequisite: MATH 401 with a grade of “C” or better.
Formerly: MATH 16A Course Transferable to UC/CSU
Prerequisite: MATH 330 with a grade of “C” or better. Hours: 90 hours LEC
Course Transferable to UC/CSU This course is a continuation of MATH 401. It Includes calculus of functions
Hours: 54 hours LEC of more than one variable, partial derivatives, extreme of functions of more
This course covers functions, limits, and derivatives, and introduces than one variable, multiple integration, development of the vector calculus,
antiderivatives. Algebraic and computational techniques are emphasized in line integrals, three dimensional analytic geometry and the theorems of Green,
applications from business, and social and biological sciences. It is not Gauss (Divergence), and Stokes. (CAN MATH 22) (MATH SEQ C) AA/AS
recommended for math or engineering majors. (CAN MATH 30) (MATH area 4C; CSU area B3; IGETC area 2
SEQ D) AA/AS area 3D and 4C; CSU area B3; IGETC area 2. MATH 410 Introduction to Linear Algebra 3 Units
MATH 351 Calculus for the Life and Social Sciences II Formerly: MATH 35
3 Units Prerequisite: MATH 400 with a grade of “C” or better.
Formerly: MATH 16B Advisory: MATH 402.
Prerequisite: MATH 350 with a grade of “C” or better. Course Transferable to UC/CSU
Course Transferable to UC/CSU Hours: 54 hours LEC
Hours: 54 hours LEC This course provides an introduction to linear algebra including matrices,
This course is the continuation of MATH 350. It covers integration and determinants, vector spaces, linear transformations, eigenvectors. It is intended
differentiation of commonly used functions, and applications of analytic for majors in mathematics, engineering, economics, science and related fields.
geometry and calculus. (CAN MATH 32) (MATH SEQ D) AA/AS area 4C; (CAN MATH 26) AA/AS area 4C; CSU area B3; IGETC area 2.
CSU area B3; IGETC area 2; MATH 420 Differential Equations 4 Units
MATH 360 Introduction to Scientific Graphing Formerly: MATH 9D
Calculators 1 Unit Prerequisite: Mathematics 401 with a grade of “C” or better.
Formerly: MATH 28 Advisory: MATH 402.
Prerequisite: MATH 330 with a grade of “C” or better or placement through Course Transferable to UC/CSU
assessment. Hours: 72 hours LEC
Course Transferable to CSU This course is a study of ordinary differential equations with emphasis on
Hours: 18 hours LEC linear equations and systems of linear equations. It includes infinite series
This course introduces the basic functions and applications of scientific graphic and, Laplace transform and matrix methods of solution. It stresses applications
calculators. It covers plotting, evaluating, and solving functions. It also to engineering problems. It is recommended for electrical, mechanical,
discusses calculator-based solutions of problems from algebra and industrial, ceramic, and petroleum engineers, and for mathematics and physical
trigonometry; and introduces techniques that will be useful in subsequent science majors. (CAN MATH 24) AA/AS area 4C; CSU area B2; IGETC area
courses like precalculus and calculus. A calculator of a model and type that 2.
will be specified by instructor is required.
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