3 Units
54 hours lecture. Pre-Collegiate
Prerequisite: Credit in LERN 49 or qualifying score on current department
placement test.
Fundamental principles of mathematics designed to ease the transition
from arithmetic to algebra. Concepts, computational skills, thinking skills
and problem-solving skills are balanced to build proficiency and mastery.
4 Units
72 hours lecture. Degree Appropriate
Prerequisite: MATH 50 or qualifying score on current department
placement test
Basic algebra, equivalent to first year high school algebra. Includes
operations with signed numbers and algebraic expressions, linear
equations and inequalities, polynomial operations and factoring, rational
expressions and equations, Cartesian Coordinate System, slope/
graphing/equations of lines, systems of linear equations,
ratio/proportion, formulas and variation, applications, radicals and
exponents, quadratic equations.
First Half 3 Units
54 hours lecture. Degree Appropriate
Prerequisite: MATH 50 or qualifying score on current department
placement test
Contains the first half of elementary algebra. Operations with signed
numbers and algebraic expressions; linear equations and inequalities;
polynomial operations and factoring; rational expressions and
equations; ratios, proportions, formulas, and variation; applications.
Second Half 3 Units
54 hours lecture. Degree Appropriate
Prerequisite: MATH 51A
Contains the second half of Elementary Algebra. Includes: Cartesian
Coordinate System, slope/graphing/equations of lines, solving systems
of linear equations, algebraic operations with radicals, solving equations
with radicals, solving second degree equations using methods of
completing the square and the quadratic formula. Students must
complete both MATH 51A and MATH 51B to have taken the equivalent
of Elementary Algebra (MATH 51).
3 Units
54 hours lecture. Degree Appropriate
Prerequisite: MATH 51 or MATH 51B or MATH 52 or qualifying score on
current department placement test
Points, lines, polygons and circles; their relationships to each other on
plane surfaces; congruence, similarity and area. Introduction to inductive,
deductive and indirect reasoning. The formal proof is introduced and
practiced throughout the course. Stress is placed on accuracy of statement
as a background for analytical and scientific reasoning.
5 Units
90 hours lecture. Degree Appropriate
Prerequisite: MATH 51 or MATH 51B or qualifying score on current
department placement test
Reviews and extends concepts from elementary algebra, and
introduces new content to prepare students for a variety of subsequent
mathematics courses. Polynomial, rational, radical, exponential and
logarithmic expressions are simplified, equations solved and functions
graphed and studied; linear and nonlinear systems of equations and
inequalities; conic sections; sequence, series and the binomial theorem.
Application problems appear throughout the course.
First Half 3 Units
54 hours lecture. Degree Appropriate
Prerequisite: MATH 51 or MATH 51B or qualifying score on current
department placement test
Algebra of functions, polynomials, and rational expressions; functions
and their graphs; systems of equations with two or three variables;
absolute value and compound inequalities; sequences and series; the
binomial theorem.
Second Half 3 Units
54 hours lecture. Degree Appropriate
Prerequisite: MATH 71A
Quadratic equations and graphs; exponents, radicals and logarithms;
conic sections. A student must complete both MATH 71A AND MATH 71B
to have taken the equivalent of intermediate algebra.
1 Unit
(May be taken three times for credit.) Pre-Collegiate
(May be taken for Credit/No Credit only.)
18 hours lecture.
Perspectives, understandings and strategies to utilize a learning system
for acquiring, understanding, remembering and producing mathematical
knowledge. Course is appropriate for all levels of mathematics students.
Students who repeat this course will improve skill through further
instruction and practice.
MATH 100 - Survey of College Mathematics
3 Units
(CAN MATH 2) Degree Appropriate, CSU, UC
54 hours lecture.
Prerequisite: (MATH 71 or MATH 71B or MATH 72 or qualifying score on
current department placement test) AND (MATH 61 or two semesters
of high school geometry, "C" or better, or passing score on current
geometry competency test)
Introduction to mathematical methods and reasoning. Topics include:
set theory, logic, counting methods, probability and statistics, with
additional topics selected from numeration and mathematical systems,
number theory, geometry, graph theory and mathematical modeling.
3 Units
(CAN STAT 2) Degree Appropriate, CSU, UC
54 hours lecture.
Prerequisite: MATH 71 or MATH 71B or MATH 72 or qualifying score on
current department placement test
Emphasis is placed on the understanding of statistical methods.
Descriptive analysis of sample statistics, distribution of discrete and
continuous random variables, estimation theory, tests of hypotheses,
regression, correlation and analysis of variance.
3 Units
(CAN STAT 2) Degree Appropriate, CSU, UC
54 hours lecture.
Prerequisite: (MATH 71 or MATH 71B or MATH 72 or qualifying passing
score on current department placement test) AND acceptance into the
Honors Program.
Emphasis is placed on the understanding of statistical methods.
Descriptive analysis of sample statistics, distribution of discrete and
continuous random variables, estimation theory, tests of hypotheses,
regression, correlation and analysis of variance. An honors course
designed to provide an enriched experience. Students may not receive
credit for both MATH 110 and MATH 110H.
3 Units
Fall Semester Degree Appropriate, CSU, UC
(CAN MATH12)
54 hours lecture.
Prerequisite: MATH 71 or MATH 71B or MATH 72 or qualifying score on
current department placement test
Mathematics for Business, Social Science and Biological Science majors.
Topics include linear programming, matrix theory, probability, statistics,
stochastic processes, Markov chains, and math of finance.
3 Units
(CAN MATH10) Degree Appropriate, CSU, UC
54 hours lecture.
Prerequisite: MATH 71 or MATH 71B or MATH 72 or qualifying score on
current department placement test
A study of real numbers and sets, algebraic functions and relations,
radicals and exponents, linear and quadratic equalities and inequalities,
exponential and logarithmic functions, systems of linear and quadratic
equations, complex numbers, series, theory of equations, mathematical
induction and binomial formula.
4 Units
(CAN MATH34) Degree Appropriate, CSU, UC
72 hours lecture.
Prerequisite: MATH 130 or MATH 160 or qualifying score on current
department placement test
Algebraic, logarithmic, and exponential functions; limits; differentiation
with applications; various techniques of integration with applications;
differential equations; multi variable calculus. Credit not given to
persons with credit in MATH 180 or equivalent.
3 Units
(CAN MATH 8) Degree Appropriate, CSU
54 hours lecture.
Prerequisite: (MATH 71 or MATH 71B or MATH 72 or qualifying score on
current department placement test) AND (MATH 61 or two semesters
of high school geometry, "C" or better, or passing score on current
geometry competency test)
Trigonometry functions and inverse trigonometric functions and the
graphical representations of these functions; solutions to right and
oblique triangles with laws of sines and cosines; vectors; solutions to
trigonometric equations; identities; polar coordinates; complex numbers
and DeMoivre's Theorem.
4 Units
(CAN MATH16) Degree Appropriate, CSU, UC
72 hours lecture.
Prerequisite: MATH 150 OR (high school trigonometry, "C" or better, and
a passing score on current department placement test)
Real-valued functions, including algebraic, trigonometric, exponential
and logarithmic functions. Also includes proofs, inequalities,
introductory analytical geometry, series, sequences, and vectors.
4 Units
72 hours lecture. Degree Appropriate, CSU, UC
Prerequisite: MATH 160 or qualifying score on current department
placement test
Functions, curve sketching, limits, the derivative, rules for differentiation
of algebraic and trigonometric functions, applications of the derivative.
Indefinite and definite integrals, and calculus with exponential,
logarithmic, and other transcendental functions.
5 Units
90 hours lecture. Degree Appropriate, CSU, UC
Prerequisite: MATH 180
Applications of integration, techniques of integration; numerical
integration; in determinate forms and improper integrals; infinite series;
plane curves and parametric equations; vectors in two and three space
and their applications.
3 Units
(CAN MATH 4) Degree Appropriate, CSU
54 hours lecture.
Prerequisite: MATH 100
Structure and theory of the mathematics that constitute the core of K-8
mathematics curriculum. Concepts include the essential elements of a
number system; fundamental understanding of operations upon whole
numbers, rational numbers and integers; higher-order critical thinking
skills and strategies in the area of problem solving.
3 Units
54 hours lecture. Degree Appropriate, CSU
Prerequisite: MATH 181
A transition to the rigors of upper-division mathematics courses. Basic
set theory and logic, relations, functions, mathematical induction, the
well-ordering principle, countable and uncountable sets, the Schroder-
Bernstein Theorem, the axiom of choice, Zorn's Lemma, the Heine-Borel
Theorem, the Bolzano-Weierstrass Theorem. Special emphasis on how to
present and understand mathematical proofs.
4 Units
72 hours lecture. Degree Appropriate, CSU, UC
Prerequisite: MATH 181
Analysis of vector-valued functions of several variables, partial
derivatives, differentials, the chain rule, directional derivatives and the
gradient. Extrema of functions of several variables with applications.
Double and triple integrals in various coordinate systems with
applications. Vector fields, line integrals, work, independence of path in
conservative fields. Green's Theorem, surface integrals, flux, divergence
and curl, Stokes' Theorem, the Divergence Theorem.
MATH 285 - Linear Algebra and Differential Equations
5 Units
(CAN MATh34) Degree Appropriate, CSU, UC
90 hours lecture.
Prerequisite: MATH 280
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.