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131
Course Descriptions
2016-2017 Catalog
Mathematics
6
MATH ANALYSIS III
5 units, 5 lecture hours (Pass/No Pass)
PR ER EQU I S I T E S : Ma t h ema t i c s 5B .
ADVISORIES: Eligibility for English 125 and 126.
This is the third of three courses in the basic
calculus sequence. Topics include solid analytical geometry,
three dimensional vectors, vector valued functions,
partial differentiation, multiple integration, line integrals,
Divergence, Green’s, and Stokes’ Theorems. (A, CSU-GE,
UC, I) (C-ID MATH 230)
10A
STRUCTURE AND CONCEPTS
IN MATHEMATICS I
3 units, 3 lecture hours, (Pass/No Pass)
PR ER EQU I S I T E S : Mat hemat ic s 103 .
ADVISORIES: Eligibility for English 125 and 126.
This course is designed for prospective elementary
school teachers. It will study problem solving strategies and
skills, number sequences, set theory, ancient numeration
systems, number theory, rational and irrational numbers,
computation algorithms, and applications of mathematics.
(A, CSU, UC)
10B
STRUCTURE AND CONCEPTS
IN MATHEMATICS II
3 units, 3 lecture hours, (Pass/No Pass)
PREREQUISITES: Mathematics 10A and
geometry. ADVISORIES: Eligibility for English 125 and
English 126.
This course is designed for prospective elementary
school teachers. Topics covered will include counting
methods, elementary probability and statistics. Additional
topics in Geometry to include polygons, congruence and
similarity, measurement, geometric transformations,
coordinate geometry, and connections between numbers
and geometry with selected applications. (A, CSU-GE, UC)
11
ELEMENTARY STATISTICS
4 units, 4 lecture hours, (Pass/No Pass)
PR ER EQU I S I TE S : Ma t h ema t i c s 103 .
ADVISORIES: Eligibility for English 125 and 126.
This course is an introduction to statistical
methods and techniques with applications in the fields
of business, behavioral and social science, as well as in
science, technology, engineering, and mathematics. Topics
include descriptive measures of central tendency and
variability, probability, binomial and normal distributions,
random variables, sampling, estimating, hypothesis testing
(parametric and nonparametric), correlation, and regression.
(A, CSU-GE, UC, I) (C-ID MATH 110)
17
DIFFERENTIAL EQUATIONS AND
LINEAR ALGEBRA
5 units, 5 lecture hours, (Pass/No Pass)
PREREQUISITES:Mathematics 6,MathAnalysis III.
Solutions to first order ordinary differential
equations, including separable, linear, homogeneous of
degree zero, Bernoulli and exact with applications and
numerical methods. Solutions to higher order differential
equations using undetermined coefficients, variation of
parameters, and power series, with applications. Solutions
to linear and non-linear systems of differential equations,
including numerical solutions. Matrix algebra, solutions
of linear systems of equations, and determinants. Vector
spaces, linear independence, basis and dimension,
subspace and inner product space, including the Gram-
Schmidt procedure. Linear Transformations, kernel
and range, eigenvalues, eigenvectors, diagonalization
and symmetric matrices. (A, CSU-GE, UC, I) (C-ID
MATH 240) (C-IDMATH 910S) (C-IDMATH 260)
45
CONTEMPORARY MATHEMATICS
3 units, 3 lecture hours, (Pass/No Pass)
PREREQUISITES: Mathematics103. ADVISORIES:
Eligibility for English 125 and 126.
This course provides an introduction tomathematical
problem solving in diverse areas of contemporary life such as
statistics, social choice, measurement, and management science
for students in the arts, humanities, and social sciences. (A,
CSU-GE, UC)
103
INTERMEDIATE ALGEBRA
5 units, 5 lecture hours, (Pass/No Pass)
PREREQUISITES: Mathematics 201 or equivalent.
ADVISORIES: Eligibility for English 126.
This course will deal with many algebraic concepts
including: equations and inequalities in two variables, rational
exponents and roots, quadratic functions, exponential and
logarithmic functions, and conic sections. (A)
201 ELEMENTARY ALGEBRA
(FORMERLY MATH 101)
5 units, 5 lecture hours, (Pass/No Pass)
PREREQUISITES: Mathematics 250 or equivalent.
ADVISORIES: Mathematics 256 and eligibility for English 126.
This is a first course in elementary algebra, including
algebraic expressions, linear equations and inequalities, linear
equations and inequalities in two variables, exponents and
polynomials, factoring, and rational expressions.