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LOS ANGELES CITY COLLEGE | 08-09 CATALOG [REV. 11/08]
MATHEMATICS
Chair: Roger Wolf (323) 953-4000 ext. 2810 • JH312 www.lacitycollege.edu/academic/departments/math/mathdept/index.html
CATALOG INDEX
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Associate of Science:
Mathematics
Mathematicians and their models put man and machines in space, make millionaires out of investors, and even propel video gaming technology to new levels of excitement. Mathematicians are active in just about every professional area you can think of and are typically in-demand and high earners. Here are just a few of the places you’ll find them: Computer Animation; Virtual Environments; Digital Special Effects in Movies; Space Research; Mathematical Evolution and Modeling; Engineering; Software Development & Computer Technology; Electronics; Business (Financial Models, Trend Analysis, etc); Military & Security Occupations; Oil Exploration; and Teaching.
The LACC Mathematics Department offers from Pre-Algebra to Advanced Calculus and Differential Equations. Our students successfully transfer to prestigious university programs including Cal State Universities, UCLA, UC Berkley and other UCs, USC and CalTech to name a few. And, LACC’s math team has consistently placed in the top 5 out of nearly 200 colleges in the National American Mathematics Association of Two Year Colleges Competition in recent years.
Placement Information
High school courses are not accepted as equivalent to college courses. Every new incoming student will be required to take the math assessment unless he/she has satisfied the prerequisite by a college level course or a comparable assessment process from another college (must not be based on high school transcripts).
Those students placing above Math
125 please note: If the placement information given to you does not fit your
circumstances, see Math Department for more detailed evaluation.
| DEGREE PROGRAMS |
Mathematics
Associate of Science Degree
Transfer Program
The curriculum shown below is designed to guide students in the Mathematics major and to encourage students to start courses in this major early in their college career. By completing this curriculum, students will be ready to compete in this major with other students at a four-year college or university. Whether or not students elect to receive the Associate of Science degree, the courses listed below are those that will prepare them to enter their transfer institutions fully prepared to pursue the Mathematics major.
COURSES UNITS
First Semester
Mathematics 135................................................................................. 1
Mathematics 261................................................................................. 5
Second Semester
Mathematics 262 ................................................................................ 5
Mathematics 270................................................................................. 3
Third Semester
Mathematics 263................................................................................. 5
Fourth Semester
Mathematics 275................................................................................. 3
Total Units....................................................................................... 22
Depending on your preparation, you may need additional prerequisite courses before entering this program.
To complete general education requirements in this area of study, Plan A for the AA/AS Degree is required.
PLAN A: Please consult with a counselor about specific courses needed or see the college catalog "Graduation Requirements" section. Plan A is designed for transfer to a four-year college or university. However, requirements vary depending upon the individual institution. Please consult with a counselor for the specific requirements of the university you plan to attend.
3-6 Units English Composition
6-9 Units Communication/Analytical Thinking
3 Units Natural Sciences 3 Units Humanities9 Units Social/Behavioral Sciences (including American History & Governments)
3-4 Units Health/Physical Education
3-5 Units Math Competency
(Math 115 or higher or passing score on Los Angeles Community College District Math competency exam)
| COURSE DESCRIPTIONS |
Click Here for COURSE SEQUENCE CHART
NOTE: Not every class is offered each semester. Refer to the current class schedule for current class offerings.
PREREQUISITES: Specified prerequisites must be completed with a satisfactory grade of “C” or equivalent.
UC maximum limit: Refer to www.assist.org
MATHEMATICS 100
Mathematics Workshop
1 UNIT - NDC
This course is designed to supplement and enhance learning experience by providing tutorial and self-help assistance, using tutorial assistance, calculators, computers, programmed texts, and other learning aids.
MATHEMATICS 105
Arithmetic for College Students
3 UNITS - NDC
Open to all students.
Reviews the fundamentals of arithmetic that are essential to success in many college courses.
MATHEMATICS 112
Pre-Algebra
3 UNITS - NDC
Prerequisite: Mathematics 105 with a satisfactory grade or equivalent.
Bridges the gap between Arithmetic and Algebra. In addition to a brief review of Arithmetic, topics include signed numbers, laws of exponents, polynomial operations, mathematical sentences, and an introduction to graphs in Cartesian coordinates.
MATHEMATICS 113
Elementary Algebra A
3 UNITS - (A)
Prerequisite: Mathematics 112 with a satisfactory grade or equivalent.
Mathematics 113 and 114 together are equivalent to Mathematics 115 (see course description for Mathematics 115). Credit is allowed in only one Mathematics 115, or the Mathematics 113 and 114 combination. Simultaneous enrollment in Math 113 and 114 is not permitted.
MATHEMATICS 114
Elementary Algebra B
3 UNITS - (A)
Prerequisite: Mathematics 113 with a satisfactory grade or equivalent.
Mathematics 113 and 114 together are equivalent to Mathematics 115 (see course description for Mathematics 115). Credit is allowed in only one Mathematics 115, or the Mathematics 113 and 114 combination. Simultaneous enrollment in Math 113 and 114 is not permitted.
MATHEMATICS 115
Elementary Algebra
5 UNITS - (A)
Prerequisite: Mathematics 112 with a satisfactory grade or equivalent.
This course is for those who have had no algebra or whose preparation in algebra is deficient. Topics include variables, polynomials, equations, factoring, systems of linear equations, graphs, inequalities and quadratic equations.
MATHEMATICS 121
Essentials of Geometry
3 UNITS – (A)
Prerequisite: Mathematics 115 with a satisfactory grade or equivalent.
This course covers the definitions, axioms and theorems of geometry relating to angles, lines, circles and polygons. Basic constructions are introduced. The meaning and techniques of logical proofs are heavily emphasized.
MATHEMATICS 124
Intermediate Algebra
5 UNITS - (A)
This course will only be offered in the two modules: Math 124A and Math 124B.
Prerequisite: Mathematics 115 with satisfactory grade or equivalent.
Mathematics 124A and 124B together are equivalent to Mathematics 125 (see course description for Mathematics 125). Credit is allowed in only one Mathematics 125, or the Mathematics 124A and 124B combination. Simultaneous enrollment in Math 124A and 124B is not permitted.
MATHEMATICS 125
Intermediate Algebra
5 UNITS - (A)
Prerequisite: Mathematics 115 with a satisfactory grade or equivalent. A maximum of 8 units may be earned by any combination of Mathematics 125, 240, and 245.
Topics include laws of exponents, radicals, equations in one variable (linear, quadratic, and some of higher degree), systems of linear equations, graphical representations, logarithms, binomial theorem, and complex numbers.
MATHEMATICS 135
Using The Computer for Mathematics
1 UNIT - (CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Math 135 is an introduction to a computer algebra system, which is useful for problem-solving in science and mathematics. A particular system will be taught. Students will learn to simplify expressions, solve equations, and graph.
MATHEMATICS 202
Mathematics Workshop
1 UNIT - (CSU)
This course is designed to supplement and enhance learning in mathematics by providing tutorial and self-help assistance, calculators, computers, programmed text, and other learning aids for baccalaureate level mathematics courses. Simultaneous enrollment in Mathematics 100 and Mathematics 202 is not permitted.
MATHEMATICS 215
Principles of Mathematics I
3 UNITS - (UC:CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Lecture 3 hours.
This course is the first of two in a sequence designed for prospective elementary school teachers. Topics include sets and relations, numbering systems, and elementary number theory. The main concern, however, will be understanding the structure of systems of whole numbers, integers, and rational numbers.
MATHEMATICS 216
Principles of Mathematics II
3 UNITS - (UC:CSU)
Prerequisite: Mathematics 215 with a satisfactory grade or equivalent.
Lecture 3 hours.
This course is the second of two in a sequence for prospective elementary school teachers. Topics include decimal and real numbers, rational numbers, abstract mathematical systems, geometry and the metric system.
MATHEMATICS 226
Elementary Statistics Problem Solving
1 UNIT - (CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Co-requisite: Mathematics 227 or equivalent to be taken simultaneously or completed previously.
Problem solving techniques related to probability, sampling, measures of central tendency and dispersion, various distributions, hypotheses testing, correlation and regression are covered as time allows.
MATHEMATICS 227
Statistics
4 UNITS - (UC:CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
This course is an introduction to probability, descriptive and inferential statistics including measures of central tendency and dispersion, sampling, and estimation. Hypothesis testing, analysis of variance, test of independence, linear correlation and regression analysis also are covered.
MATHEMATICS 230
Mathematics for Liberal Arts
3 UNITS - (UC:CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
This course is intended for liberal arts majors. Topics include sets and counting, probability, linear systems, linear programming, statistics and mathematics of finance with applications for liberal arts majors, and logic.
MATHEMATICS 236
Calculus for Business and Social Sciences
5 UNITS - (UC:CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Calculus: limits, derivatives, optimization, antiderivatives, and definite integrals and their applications in Business, Economics, and Social Sciences. (This course contains some topics of Precalculus: Analysis of polynomial, rational, exponential and logarithmic functions, including their graphs.).
MATHEMATICS 237
Advanced Calculus for Business and Social Sciences
3 UNITS - (UC:CSU)
Prerequisite: Mathematics 236 with a satisfactory grade or equivalent.
This course presents advanced calculus topics with emphasis on business and social science applications. Topics include definite integrals, probability, techniques of integration, improper integrals, numerical integration, elementary differential equations, functions of several variables, partial derivatives, chain rule, total differentials, optimization of functions of several variables without and with constraints, method of Lagrange multipliers, double integrals.
MATHEMATICS 240
Trigonometry
3 UNITS - (CSU)
Prerequisite: Mathematics 125 and Mathematics 121 with satisfactory grades or equivalent.
A maximum of 8 units of credit may be earned by any combination of Mathematics 125, 240 and 245.
Analytical trigonometry and applications to right and oblique triangles are covered. Topics include inverse trigonometric functions and trigonometric equations.
MATHEMATICS 245
College Algebra
3 UNITS - (UC: CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Topics include theory of equations, polynomial and rational functions and their graphs, systems of equations, matrices, determinants, permutations, combinations, probability, sequences and series, binomial theorem, mathematical induction.
MATHEMATICS 260
Precalculus
5 UNITS - (UC:CSU)
Prerequisite: Mathematics 240 with a satisfactory grade or equivalent.
This course prepares students for calculus. Properties of polynomial, rational, algebraic, trigonometric, inverse trigonometric, exponential and logarithmic identities and equations, trigonometric form of complex numbers and DeMoivre’s Theorem, conic sections with translation and rotation of axes, nonlinear system of equations and inequalities, vector algebra with dot and cross products, polar coordinates and graphs of polar functions, partial fractions and mathematical induction.
MATHEMATICS 261
Calculus I
5 UNITS - (UC:CSU)
Prerequisite: Mathematics 260 with a satisfactory grade or equivalent.
Includes functions and their graphs, limits, continuity, derivatives of functions of one variable, Mean Value Theorem, integrals, the Fundamental Theorem of Calculus, differentiation and integration of trigonometric functions and their applications.
MATHEMATICS 262
Calculus II
5 UNITS - (UC:CSU)
Prerequisite: Mathematics 261 with a satisfactory grade or equivalent.
Includes the study of the differentiation and integration of transcendental functions, techniques of integration, sequences, infinite series, and curves in polar coordinates.
MATHEMATICS 263
Calculus III
5 UNITS - (UC:CSU)
Prerequisite: Mathematics 262 with a satisfactory grade or equivalent.
Includes vectors, calculus, and parametric equations, surfaces, partial differentiation, gradient, maxima and minima for functions of several variables, multiple integrals, surface integrals, line integrals, Green’s Theorem, Divergence Theorem, and Stokes’ Theorem.
MATHEMATICS 270
Linear Algebra
3 UNITS - (UC:CSU)
Prerequisite: Mathematics 261 with a satisfactory grade or equivalent.
Advisory: Simultaneous enrollment in Mathematics 262.
This course covers the study of vector spaces, linear transformations, matrices, matrix algebra and solutions of systems of equations.
MATHEMATICS 272
Methods of Discrete Mathematics
5 UNITS – (UC:CSU)
Prerequisite: Mathematics 260 with a satisfactory grade or equivalent.
This course stresses mathematical reasoning and the different ways problems are solved. Interwoven in this course are: mathematical reasoning (logic and mathematical proofs), algorithm (use of pseudocode), combinatorial analysis (ability to count), and discrete structures and their basic applications.
MATHEMATICS 275
Ordinary Differential Equations
3 UNITS - (UC:CSU)
Prerequisite: Mathematics 262 with a satisfactory grade or equivalent.
This
course examines and applies techniques for solution of ordinary differential equations
including first order equations, linear equations of higher order and linear systems of
equations. Methods of solution include undetermined coefficients, differential operators,
variation of parameters, series solutions, Laplace Transforms, reduction to first order
system and numerical methods such as Euler’s, Runge-Kutta and multi-step.
Archived COURSES
These courses are currently not offered.
MATHEMATICS 120 Plane Geometry 5 UNITS - (A)
Prerequisite: Mathematics 115 with a satisfactory grade or equivalent.
A study of points, lines, planes, angles, triangles, polygons, circles and areas of plane regions.
MATHEMATICS 225 Introductory Statistics 3 UNITS - (UC:CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Credit allowed for only one of Mathematics 225 and Business 15. Transfer Limit, UC: Maximum one course from Mathematics 225 and Business 15.
Topics include measures of central tendency, measures of dispersion, normal distribution, hypothesis testing, correlation and analysis of variance.
MATHEMATICS 235 Finite Mathematics 5 UNITS - (UC:CSU)
Prerequisite: Mathematics 125 with a satisfactory grade or equivalent.
Math 245 is recommended.
Advisory: Mathematics 236 may be taken simultaneously.
Topics include matrix algebra, the Gauss elimination technique for solving systems of linear equations, linear programming including the simplex method, probability and financial mathematics.
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