Mathematics Course Descriptions
MATH 50 - Pre-Algebra
3 Units
Not Degree Applicable
54 hours lecture
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.
MATH 51 - Elementary Algebra
4 Units
Not Degree Applicable
72 hours lecture
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.
MATH 51A - Elementary Algebra
3 Units
Not Degree Applicable
54 hours lecture
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.
MATH 51B - Elementary Algebra
3 Units
Not Degree Applicable
54 hours lecture
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).
MATH 61 - Plane Geometry
3 Units
Degree Applicable
54 hours lecture
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.
MATH 70S - Integrated Intermediate Algebra
5 Units
Degree Applicable
90 hours lecture
Prerequisite: MATH 50 or qualifying score on
current department placement test
Math 70S is an intermediate algebra course that integrates topics
from statistics, and is the prerequisite to Math 110S
MATH 71 - Intermediate Algebra
5 Units
Degree Applicable
90 hours lecture
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.
MATH 71A - Intermediate Algebra
3 Units
Degree Applicable
54 hours lecture
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. Covers some MATH 71 topics
at a slower pace. A student must complete both MATH 71A and 71B to
have taken the equivalent of MATH 71, Intermediate Algebra.
MATH 71B - Intermediate Algebra
3 Units
Degree Applicable
54 hours lecture
Prerequisite: MATH 71A
Quadratic equations and graphs; exponents, radicals and logarithms;
conic sections. Covers remaining MATH 71 topics at a slower pace. A
student must complete both MATH 71A AND MATH 71B to have taken
the equivalent of MATH 71A, Intermediate Algebra.
MATH 71X - Practical Intermediate Algebra
5 Units
Degree Applicable
90 hours lecture
Prerequisite: Math 51 or Math 51B or qualifying score on current
department placement test.
Intermediate Algebra for the non-calculus path. Recommended for
Humanities, Social Sciences, and Applied Sciences. Recommended
prerequisite for Math 100, Math 110, and Math 120. Polynomial,
rational, radical, exponential and logarithmic expressions are simplified,
equations solved, and real-world phenomena are modeled using leastsquares
methods, functions graphed and analyzed; linear and nonlinear
systems of equations and inequalities; sequences, series, and
probabilities; data gathering instruments are used to sample data for
curve fitting.
MATH 96 - Strategies for Math Success
1 Unit
Not Degree Applicable
(May be taken for Pass/No Pass only)
18 hours lecture
Learning tools, plans and proper perspectives for math learning
improvement. Use of natural intelligence strengths to simplify and
optimize your mathematical educational experience. Overcome test
anxiety and enhance testing abilities. Course is appropriate for all levels
of mathematics students.
MATH 100 - Survey of College Mathematics
3 Units
(CAN MATH02) Degree Applicable, CSU, UC
54 hours lecture
Prerequisite: (MATH 71 or MATH 71X or MATH 71B or qualifying score on
current department placement test) and (MATH 61 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.
MATH 110 - Elementary Statistics
3 Units
(CAN STAT02) Degree Applicable, CSU, UC
54 hours lecture
Prerequisite: MATH 71 or MATH 71X or MATH 71B 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.
- Course Outlines:
- Triola (primary text). This text is to be used by all adjunct faculty memebers.
- Navidi, Guth. These texts are to be used with special permission from the department.
- SLO/CMO
MATH 110H - Elementary Statistics - Honors
3 Units
(CAN STAT02) Degree Applicable, CSU, UC
54 hours lecture
Prerequisite: (MATH 71 or MATH 71X or MATH 71B 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.
MATH 110S - Elementary Statistics
5 Units
Degree Applicable, CSU, UC
90 hours lecture
Prerequisite: Math 70S
Math 110S is an elementary statistics course, covering typical topics
from descriptive and inferential statistics.
MATH 120 - Finite Mathematics
3 Units
(CAN MATH12) Degree Applicable, CSU, UC
54 hours lecture
Prerequisite: MATH 71 or MATH 71X or MATH 71B 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.
MATH 130 - College Algebra
4 Units
(CAN MATH10) Degree Applicable, CSU, UC
72 hours lecture
Prerequisite: MATH 71 or MATH 71B or qualifying score on current
department placement test
A college-level course in algebra. 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.
MATH 140 - Calculus for Business
4 Units
(CAN MATH34) Degree Applicable, CSU, UC
72 hours lecture
Prerequisite: MATH 130 or MATH 160 or qualifying score on current
department placement test.
Calculus for business, social science, and non-science majors. 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.
MATH 150 - Trigonometry
3 Units
(CAN MATH08) Degree Applicable, CSU
54 hours lecture
Prerequisite: MATH 71 or 71B or qualifying score on current department
placement test AND Math 61 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.
MATH 160 - Precalculus Mathematics
4 Units
(CAN MATH16) Degree Applicable, CSU, UC
72 hours lecture
Prerequisite: MATH 150, or qualifying score on current department
placement test.
Prepares students for the calculus sequence. Real-valued functions,
including algebraic, trigonometric, exponential, and logarithmic
functions. Also includes proofs, inequalities, introductory analytical
geometry, series, sequences, and vectors.
MATH 180 - Calculus and Analytic Geometry
4 Units
(CAN MATH18) Degree Applicable, CSU, UC
CAN MATH SEQ B
72 hours lecture
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, numerical integration, and calculus
with exponential, logarithmic, and other transcendental functions.
MATH 181 - Calculus and Analytic Geometry
5 Units
(CAN MATH20) Degree Applicable, CSU, UC
CAN MATH SEQ B
90 hours lecture
Prerequisite: MATH 180
Applications of integration, techniques of integration; indeterminate
forms and improper integrals; infinite series; plane curves and
parametric equations; vectors in two and three space and their
applications.
MATH 280 - Calculus and Analytic Geometry
5 Units
(CAN MATH22) Degree Applicable, CSU, UC
CAN MATH SEQ C
90 hours lecture
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 MATH24) Degree Applicable, 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.
