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Course Descriptions for Mathematics

MATH 100 Exploring Mathematics (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 56 or MATH 60 or eligibility
determined through the math placement process
Note: May not be used to clear high school deficiency for students transferring
to UC systems Fall 1994 or later
Transfer acceptability: CSU; UC – MATH 100, 105 and 106 combined: maximum
credit, one course
Selected topics from logic, modern algebra, number theory, and geometry. Designed
to give the student an introduction to the structure of mathematics and its
applications. Recommended for liberal arts students.

MATH 105 Concepts of Elementary Mathematics I (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 56 or MATH 60 or eligibility
determined through the math placement process
Transfer acceptability: CSU; UC – MATH 100, 105 and 106 combined: maximum
credit, one course; CAN MATH 4
Selected topics from the real number system including properties and operations
with integers and rational numbers as fractions and decimals. Additional topics
include problem solving, numeration systems, number theory, and topics in logic
and set theory. Recommended for prospective teachers.

MATH 105L
 
Concepts of Elementary Mathematics I
Laboratory
(1)
 

2 hours lecture/laboratory
Prerequisite: Completion of, or concurrent enrollment in MATH 105
Transfer acceptability: CSU
This is a lab to accompany Math 105. The course focuses on children’s mathematical
thinking regarding topics in the Math 105 curriculum including, but not
limited to, place value, arithmetic operations with whole numbers, fractions, and
problem-solving strategies. Students view and analyze vidoeclips of children being
interviewed regarding their mathematical thinking, and students also interview
children at the first and fourth/fifth grade levels, evaluating the strategies used and
analyzing and reflecting upon the mathematical thinking involved. Recommended
for prospective elementary and middle school teachers.

MATH 106 Concepts of Elementary Mathematics II (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 105
Transfer acceptability: CSU; UC – MATH 100, 105 and 106 combined: maximum
credit, one course
An extension of Mathematics 105, including selected topics from two-and-threedimensional
geometry, motion geometry, and measurement. Recommended for
prospective elementary and junior high school teachers, parents, and liberal arts
students.

MATH 110 College Algebra (4)

4 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 56 or MATH 60 or eligibility
determined through the math placement process
Transfer acceptability: CSU; UC – MATH 110 and 135 combined: maximum
credit, 4 units; CAN MATH 10
Study of the behavior and characteristics of functions from graphic, numeric,
analytic and applied perspectives, including general polynomial functions, rational
functions, exponential and logarithmic functions, and sequences. Systems of equations
in several variables with an emphasis in matrix solutions.

MATH 115 Trigonometry (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 56 or MATH 60 or eligibility
determined through the math placement process
Transfer acceptability: CSU; CAN MATH 8
The trigonometric functions and their applications including emphasis on the analytical
aspects, identities, and trigonometric equations.

MATH 120 Elementary Statistics (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 56 or MATH 60 or eligibility
determined through the math placement process
Transfer acceptability: CSU; UC – MATH 120, BIOL 215, and PSYC/SOC 205,
combined: maximum credit, one course; CAN STAT 2
Selected topics include tabular and graphical representation of data, counting
principles, permutations, combinations, discrete and continuous probability distributions,
sampling distributions, the Central Limit Theorem, an introduction to
inferential statistics, and simple linear regression analysis. Applications from the
fields of business, economics, life sciences, social sciences, and the physical sciences.

MATH 130 Calculus for the Social Sciences (4)

4 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 110 or eligibility determined
through the math placement process
Note: Not open to students with credit in MATH 140
Transfer acceptability: CSU; UC – MATH 130 and 140 combined: maximum
credit, one course; CAN MATH 30
Functions and their graphs including exponential and logarithmic functions, single
variable calculus, limits, differentiation, integration and their applications, multivariable
calculus, with application to business, social sciences and behavioral science.

MATH 135 Precalculus Mathematics (5)

5 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 115 or eligibility determined
through the math placement process
Transfer acceptability: CSU; UC – MATH 110 and 135 combined: maximum
credit, 4 units; CAN MATH 16

Designed for students who intend to take calculus. Emphasizes study of the behavior
and characteristics of functions from graphic, numerical, analytic, and applied
perspectives. Includes trigonometric functions, general polynomial functions,
rational functions, exponential functions, logarithmic functions, absolute value
functions, functions with rational exponents, and sequences. Selected topics from
analytic geometry and linear systems are also presented.

MATH 140 Calculus With Analytic Geometry, First Course (5)

5 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 135, or MATH 110 and MATH
115, or eligibility determined through the math placement process
Transfer acceptability: CSU; UC – MATH 130 and 140 combined: maximum
credit, one course; CAN MATH 18; MATH 140+141=CAN MATH SEQ B; MATH
140+141+205=CAN MATH SEQ C
An introduction to analytic geometry, differentiation and integration of algebraic
and transcendental functions of a single variable, and applications of differentiation.

MATH 141 Calculus With Analytic Geometry, Second Course (4)

4 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 140
Transfer acceptability: CSU; UC; CAN MATH 20; MATH 140+141= CAN
MATH SEQ B; MATH 140+141+205=CAN MATH SEQ C
Continuation of MATH 140. Topics include definite integrals and their applications;
methods of integration (including the use of modern computational technology as
appropriate); indeterminate forms; improper integrals; sequences; infinite series;
Taylor series; conic sections; polar coordinate; and parametric equations from
analytic, graphic, and numeric perspectives.

MATH 146 Fortran-90 for Mathematics and Science (3)

2 hours lecture-3 hours laboratory
Prerequisite: A minimum grade of ‘C’ in MATH 135 or MATH 110 and MATH
115, or a passing grade on the appropriate placement test
Note: Cross listed as CSCI 146
Transfer acceptability: CSU; UC
Programming in FORTRAN 90 to solve typical problems in mathematics, computer
science, physical sciences, and engineering. Programming is done on a PC.

MATH 197 Mathematics Topics (.5-4)

Units awarded in topics courses are dependent upon the number of hours required
of the student. Any combination of lecture, laboratory, or lecture/laboratory
may be scheduled by the department. Refer to Class Schedule.
Prerequisite: A minimum grade of ‘C’ in either MATH 56 or MATH 60, or eligibility
determined through the math placement process
Note: May be taken 4 times
Transfer acceptability: CSU; UC – Credit determined by UC upon review of
course syllabus
Topics in Mathematics. See Class Schedule for specific topic offered. Course title
will designate subject covered.

MATH 200 Introduction to Linear Algebra (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 141
Transfer acceptability: CSU; UC; CAN MATH 26
Matrices, determinants, vectors, linear dependence and independence, basis and
change of basis, linear transformations, and eigen values.

MATH 205 Calculus With Analytic Geometry, Third Course (4)

4 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 141
Transfer acceptability: CSU; UC; CAN MATH 22; MATH 140+141+ 205=CAN
MATH SEQ C
Vectors in the plane and space, three-dimensional coordinate system and graphing,
vector-valued functions and differential geometry, partial differentiation, multiple
integration, and vector calculus.

MATH 206 Calculus With Differential Equations (4)

4 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 205
Transfer acceptability: CSU; UC; CAN MATH 24
A first course in ordinary differential equations from analytic, geometric, numeric
and applied perspectives (including the use of modern computational technology
as appropriate). Topics include exact, separable, and linear equations; initial
value and boundary-value problems; systems of first-order equations; reduction
of order; undetermined coefficients; variation of parameters; series solutions; and
Laplace transforms.

MATH 245 Discrete Mathematics (3)

3 hours lecture
Prerequisite: A minimum grade of ‘C’ in MATH 130 or MATH 140, or a passing
score on the appropriate placement test
Transfer acceptability: CSU; UC
The study of prepositional and predicate logic, number theory and methods of
proof, elements of set theory, relations and functions, the Pigeonhole Principle,
sequences, infinite sets, basic counting techniques, permutations, combinations,
and applications directed to the field of computer science.