Mathematics
MATH 286
PHYSICS 2
PHYSICS 3
PHYSICS 4
TI Graphing Calculator . . . . . . . . . . . 1
Statistics . . . . . . . . . . . . . . . . . . . .4
Introduction to Object-Oriented
Programming . . . . . . . . . . . . . . . . . . 3
Partial Differential Equations in the
Natural Sciences . . . . . . . . . . . . . . . . 5
Mechanics of Fluids, Heat, and Sound . . . 4
Electricity and Magnetism . . . . . . . . . .4
Optics and Modern Physics . . . . . . . . . .4
Total . . . . . . . . . . . . . . . . . . . . 60
Transfer Curriculum
Information regarding lower division major preparation requirements
required to transfer to a University of California (UC) or California
State University (CSU) campus may be obtained at www.assist.org.
For information about independent or out-of-state colleges/universities, please consult with a counselor.
Course Descriptions
Mathematics
110 Introduction to Algebraic Concepts (5) NDA
Prerequisite: Mathematics 105 or acceptable level of skill as demonstrated in the
Mathematics placement process.
Lecture, 5 hours; Labor atory, 1 hour.
This course reviews topics in arithmetic relevant to algebra and introduces ideas necessary for understanding algebra. Students discuss
fundamental notions of algebra including the arithmetic of signed
numbers, solving first degree equations, mathematical modeling, and
basic graphing techniques. This course includes computer laboratory
instruction.
112 Pre-Algebra (3) NDA
Prerequisite: Satisfactory completion of Mathematics 105 or acceptable level of
skill as demonstrated in the Mathematics placement process.
Lecture, 3 hours; Labor atory, 1 hour.
Note: This course is offered on a PASS/NO-PASS basis only.
This course bridges the gap between arithmetic and algebra. Topics
include operations with signed numbers, order of operations, evaluating expressions and formulas, rules of integer exponents, distributive
property, working with polynomials, solving simple equations, working with graphs, linear equations, word problems, and basic geometry.
Note: There is no credit by examination for any math class.
Note: NDA after a course indicates that this course will not meet the Associate
degree requirement, and is non-degree applicable.
115 Elementary Algebra (5)
102 Developmental Mathematics 1 (6) NDA
Lecture, 5 hours.
Laboratory, 12 hours.
This course covers the fundamentals of beginning algebra. The topics presented include signed numbers, evaluation of algebraic expressions, exponents, solving equations, polynomials, factoring, rational expresssions, graphs, systems of equations, inequalities, topics in
geometry, and applications.
This self-paced, individualized course is designed to give the student
an understanding of, and competency in, basic mathematics, including operations on whole numbers, fractions, mixed numbers, decimals; geometry; measurement; ratio, proportion, percent; statistics,
probability; pre-algebra; problem solving; estimation; and functions.
It replaces Mathematics 105 and Mathematics 112.
103 How to Succeed at Math (1) NDA
Prerequisite: Satisfactory completion of Mathematics 110 or 112 or acceptable level
of skill as demonstrated in the Mathematics placement process.
120 Plane Geometry (5)
Prerequisite: Satisfactory completion of Mathematics 115 or acceptable level of skill
as demonstrated in the Mathematics placement process.
Lecture, 1 hour.
Lecture, 5 hours.
Note: This course is offered on a PASS/NO-PASS basis only.
This is a basic course in the fundamentals of Euclidean plane geometry which includes geometric properties and relationships with practice in accurate thinking and developing logical proofs.
This course covers basic study skills necessary to successfully complete
mathematics courses. Topics include preparing for class, solving math
problems, where to go for help, minimizing test anxiety, and memory
techniques for recalling information, with a special emphasis on having a positive experience in math.
105 Arithmetic (3) NDA
Lecture, 3 hours.
125 Intermediate Algebra (5)
Prerequisite: Satisfactory completion of Mathematics 115 or acceptable level of skill
as demonstrated in the Mathematics placement process.
Lecture, 5 hours.
Note: A scientific or business calculator is required for this class.
This course is designed to give students understanding and competency concerning the arithmetic of positive numbers. Topics include
the standard operations of addition, subtraction, multiplication and
division on whole numbers, fractions, and decimals with applications.
Ratios, proportions, and percents are also covered. Additional topics
may be chosen from geometric figures and introductory algebra.
This course strengthens and further develops manipulative skills in
elementary algebra. Topics include the fundamental operations on
algebraic expressions, solutions of equations and inequalities, exponentiation, graphs of algebraic, exponential and logarithmic functions, systems of equations and inequalities, and an introduction to
the conic sections. Applications are included in a wide variety of word
problems.
107 How to Do Word Problems (1)
173 Introduction to Mathematical Programming (3) UC:CSU
Note: This course is offered on a PASS/NO-PASS basis only.
Lecture, 1 hour.
This course is designed to assist students in elementary algebra to master the basic concepts of solving word problems which includes recognizing relevant data in the problem, choosing an appropriate method
of solution, and checking the answer.
2O11 • 2O13 GENERAL CATALOG
Prerequisite: Satisfactory completion of Mathematics 260.
Lecture, 3 hours.
This course is an introduction to object-oriented programming. Topics include program variables, assignment statements, program control structures, input and output, and functions. The course also covers recursion, arrays, strings, and pointers.
203
Mathematics
MATH 192
MATH 227
MATH 273
Mathematics
< meet elac people
LISA WATANABE
mathematics
Lisa Watanabe’s introduction to higher education took “I started out as an Engineering major but fell in love
an early detour when she elected to attend a private
with Mathematics,” Lisa remembers. “I credit my two
culinary school after graduating from Mark Keppel
Math professors, David Senesieb and Dr. Larry PowHigh School in Alhambra. She worked as a line cook
ell, for introducing me to the beauty of mathematics.
for three years, but longed to return to college. She
They encouraged me every step of the way, in fact
chose ELAC because the counselors were friendly and
that is what is so unique about ELAC. The teachers,
responsive—linking her to financial aid and fee waivers
counselors and staff really care about their students.
so she could afford college. After a very successful two
They love their subjects and their students, and reyears, Lisa was awarded a Jack Kent Cooke Founda- member details about our lives and interests. This
tion scholarship that will pay full expenses for her next
made me feel special.”
three years of college. She hopes to transfer to University of California, Berkeley.
Mathematics Skills RECOMMENDED COURSE SEQUENCE
MATH 105
MATH 110
MATH 103
Arithmetic
Introduction to
Algebraic Concepts
How to Succeed
at Math
MATH 115
MATH 107
Elementary
Algebra
How to do Word
Problems
MATH 125
Intermediate
Algebra
MATH 120
Mathematics
Plane Geometry
MATH 241
Trigonometry
with Vectors
MATH 260
Introduction to
Object-Oriented
Programming (C++)
OTHER
MAJORS
MATH 230
MATH 245
MATH 227
MATH 227
Mathematics for
Liberal Arts Students
College Algebra
or
Statistics
Statistics
or
MATH 216
MATH 261
MATH 227
Calculus I
Statistics
(CSULA
requirement)
MATH 235
MATH 230
Finite
Mathematics
Mathematics
for Liberal Arts
Students
MATH 236
or
Calculus for
Business &
Social Science
MATH 245
College Algebra
(SEE COUNSELOR)
MATH 262
Calculus II
MATH 284
MATH 270
MATH 263
Introduction to
Number Theory
Linear Algebra
Calculus III
MATH 173
or GE 121
or CO SCI 243
MATH 280
MATH 282
MATH 275
Introduction to
Abstract Algebra
Ordinary Differential
Equations
MATH 286
Partial Differential
Equations in the
Natural Sciences
204
CSULA BUSINESS &
SOCIAL SCIENCES
Principles of
Mathematics I
Principles of
Mathematics II
MATH 273
LIBERAL
ARTS
MATH 215
Pre-Calculus
MATH 173
Introduction to Math
Programming (C++)
ELEMENTARY
EDUCATION
Introduction to
Numerical Analysis
NOTE: Students may take M120 and
M125 simultaneously or in reverse order
as long as the M115 prerequisite is met.
Science, Technology, Engineering,
Mathematics, and Computer
Science (Stem Track)
NOTE: Students may take M241 and M260
simultaneously or in reverse order as long as
both the M120 and M125 prerequisites are met.
east los angeles college
Mathematics
192 TI Graphing Calculator (1) CSU
236 Calculus for Business and Social Science (5) UC:CSU IGETC Area 2A
Prerequisite: Satisfactory completion of Mathematics 115.
Corequisite: Mathematics 125.
(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum
credit, two courses).
Prerequisite: Satisfactory completion of Mathematics 235 or Mathematics 245.
This course introduces the use of the TI graphing calculator. It
includes topics such as graphing functions in two or three dimensions,
writing programs, engineering and calculus applications, solving systems of equations using matrices, and analyzing data using statistics.
215 Principles of Mathematics I (3) UC:CSU
Prerequisite: Satisfactory completion of Mathematics 125.
Lecture, 5 hours.
Note: Student should consult a counselor to determine which prerequisite is
required by the university targeted for transfer.
Note: A calculator is required. See instructor about the specific kind needed.
This course consists of differential and integral calculus of algebraic,
exponential, and logarithmic functions with applications to business.
Lecture, 3 hours.
241 Trigonometry with Vectors (4) CSU
This course is intended for those who plan to teach arithmetic in
elementary schools. The course covers the language of sets, elementary logic, systems of numeration, numbers, fundamental operations,
functions, integers, rational numbers, real numbers, and algorithms
used in calculations.
Prerequisites: Satisfactory completion of Mathematics 120 and Mathematics 125
or acceptable level of skill as demonstrated in the Mathematics placement process.
216 Principles of Mathematics II (3) UC:CSU
Prerequisite: Satisfactory completion of Mathematics 215.
Lecture, 3 hours.
This course is the second in the sequence intended for those who plan
to teach elementary school mathematics. The topics presented include
basic probability, introductory statistics, and introductory geometry
including constructions, congruence and similarity, measurement,
motion geometry, and tessellations.
227 Statistics (4) UC:CSU IGETC Area 2A
(UC Credit Limit: Math 227 combined with ENG GEN 221, maximum credit,
one course).
Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of
skill as demonstrated in the Mathematics placement process.
Lecture, 4 hours; Labor atory, 1 hour.
Note: A calculator is required. See the instructor about the specific kind needed.
This course is an introduction to probability, measures of central tendency and dispersion, descriptive and inferential statistics including
sampling, estimation, hypothesis testing. Analysis of variance, chisquare and student t-distributions; linear correlation, and regression
analysis are also presented as topics.
230 Mathematics for Liberal Arts Students (3) UC:CSU
Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of
skill as demonstrated in the Mathematics placement process.
Lecture, 3 hours.
An introduction to the spirit and style of mathematics and its pursuit
as a human endeavor. Topics are chosen from a variety of mathematical fields including logic, set theory, probability, statistics, algebra,
geometry and groups which are intended to illustrate the nature of
mathematical discovery, the method of proof, and the beauty of geometric design and thought.
235 Finite Mathematics (5) UC:CSU IGETC Area 2A
Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of
skill as demonstrated in the Mathematics placement process.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This is a course in finite mathematics. Topics include linear equations
and inequalities, linear programming, mathematics of finance, matrices and matrix operations and optional topics such as introduction to
probability and statistics, game theory, and trees.
2O11 • 2O13 GENERAL CATALOG
Lecture, 4 hours.
Note: A scientific calculator is required for this class. See the instructor about the
specific kind needed.
This course includes the study of the trigonometric functions and
their inverses; measurement of angles in degrees and in radians and
solution of triangles; solutions of trigonometric equations; verification
of trigonometric identities; vectors; complex numbers; graphing trigonometric functions and polar curves.
245 College Algebra (3) UC:CSU IGETC Area 2A
(UC Credit Limit: Math 245 and 260 combined - maximum credit four units).
Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of
skill as demonstrated in the Mathematics placement process.
Lecture, 3 hours.
Note: A scientific calculator is required for this class. See the instructor about the
specific kind needed.
This course covers algebraic, exponential, and logarithmic functions,
theory of equations, linear systems, functions of real numbers, probability and mathematical induction.
260 Pre-Calculus (5) UC:CSU IGETC Area 2A
(UC Credit Limit: Math 245 and 260 combined - maximum credit four units).
Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of
skill as demonstrated in the Mathematics placement process.
Corequisite: Mathematics 241.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
Topics in college algebra including mathematical induction, the binomial theorem, theory of equations, sequences and series, determinants
and matrices, and functional analysis are covered. Analytic geometry,
including the conics, is studied.
261 Calculus I (5) UC:CSU IGETC Area 2A
(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum
credit, two courses).
Prerequisite: Satisfactory completion of Mathematics 260 and Mathematics 241
or acceptable level of skill as demonstrated in the Mathematics placement process.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This is the first of a three course sequence in calculus. Topics included
are: limits and continuity, derivatives of algebraic functions of one
variable, applications of derivatives, the Fundamental Theorem of the
Integral Calculus, and applications of the definite integral.
205
Mathematics
Lecture, 1 hour.
Mathematics
262 Calculus II (5) UC:CSU IGETC Area 2A
(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum
credit, two courses).
Prerequisite: Satisfactory completion of Mathematics 261.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This is the second of a three course sequence in calculus which covers
differentiation and integration of logarithmic, exponential, circular
and hyperbolic functions and their inverses, standard techniques of
integration, indeterminate forms, improper integrals, curves in polar
coordinates, l’Hopital’s rule, and infinite series.
263 Calculus III (5) UC:CSU IGETC Area 2A
Prerequisite: Satisfactory completion of Mathematics 262.
Lecture, 5 hours.
Note: A calculator is required, see instructor about the specific kind needed.
This is the third semester course in calculus, dealing with topics of
space geometry, vector valued functions, functions of several variables,
partial derivatives, multiple integration, and vector analysis.
270 Linear Algebra (3) UC:CSU IGETC Area 2A
Prerequisite: Satisfactory completion of Mathematics 262.
Lecture, 3 hours.
This course includes the study of systems of linear equations and their
solutions, matrices, vector spaces, linear transformations, determinants and characteristic value problems.
273 Introduction to Object-Oriented Programming (3) UC:CSU
Prerequisites: Satisfactory completion of Mathematics 173 and 261.
Lecture, 3 hours.
Prerequisites: Satisfactory completion of Mathematics 262 and Mathematics 270.
Lecture, 3 hours.
This course is an introduction to numbers, number systems, and the
basic algebraic structures of groups, rings, and fields.
284 Introduction to Number Theory (3) UC:CSU IGETC Area 2A
Prerequisite: Satisfactory completion of Mathematics 262.
Lecture, 3 hours.
This course covers topics in elementary number theory including the
study of primes, composites, the euclidean algorithm, diophantine
equations, congruences, divisibility, multiplicative functions, quadratic residues, and continued fractions.
286 Partial Differential Equations in the Natural Sciences (5) UC:CSU
This course introduces algorithm development for object oriented programming and computer programming. The topics presented include
designing, coding, debugging and documenting programs.
IGETC Area 2A
275 Ordinary Differential Equations (3) UC:CSU IGETC Area 2A
This course introduces linear partial differential equations and boundary and initial value problems with particular emphasis on the wave
equation, the heat equation, and the Laplace equation. The techniques
of separation of variables, eigenfunction expansions, and the method
of characteristics for nonlinear equations are also studied.
Prerequisite: Satisfactory completion of Mathematics 263.
Mathematics
282 Introduction to Abstract Algebra (3) UC:CSU
Lecture, 3 hours.
Note: A scientific calculator is required for this class.
This course provides the student with a basic understanding of the
theory and content of ordinary differential equations. Various methods of solving these equations, especially first and second order, are
emphasized as are solutions to physical application problems. Other
topics covered include existence and uniqueness theorems, systems of
linear differential equations, numerical and graphical methods using
calculators/computers, and solutions using the Laplace transform.
280 Introduction to Numerical Analysis (3) UC:CSU IGETC Area 2A
Prerequisites: Satisfactory completion of Mathematics 263 and EITHER Mathematics 173 or General Engineering 121 OR Computer Science Information Technology 243.
Lecture, 3 hours.
This course is designed to provide an introduction to numerical methods. Topics presented include error analysis, finding roots of non-linear equations, numerical methods for matrix operations, interpolation
and curve fitting. Numerical methods in differentiation and integration also are considered.
206
Prerequisite: Satisfactory completion of Mathematics 275.
Lecture, 5 hours.
185 Directed Study - Mathematics (1) CSU
285 Directed Study - Mathematics (2) CSU
385 Directed Study - Mathematics (3) CSU
Conference 1 hour per week per unit.
The above courses allow students to pursue Directed Study in Mathematics on a contract basis under the direction of a supervising instructor. The courses will grant credit for one, two or three semester units,
respectively. The complexity of the topic of study will determine
which course the student should take.
Credit Limit: A maximum of 6 units in Directed Study may be
taken for credit.
Note: UC Credit for variable topics courses in this discipline is given only after a
review of the scope and content of the course by the enrolling UC campus. This usually occurs after transfer and may require recommendations from faculty. Information about internships may also be presented for review, but credit for internships
rarely transfers to UC.
east los angeles college