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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.