Mathematics Courses and Prerequisite Chart
Please Note:
The course descriptions below are taken from the current course outlines of record.
X SUPERVISED PROGRAMMED LEARNING - 1 to 5 UNITS
Self-paced learning in mathematics using programmed materials under instructor supervision. Credit may be earned in Mathematics 55, 55A, 55B, 65, 65A, 65B, 71, and 107, according to the level of achievement. 3-5 hours. (See course descriptions for transferability.)
1 CALCULUS I - 5 UNITS
An introduction to single-variable differential and integral calculus including: functions, limits and continuity; techniques and applications of differentiation and integration; differentiation and integration of trigonometric, exponential and logarithmic functions; the Fundamental Theorem of Calculus; areas and volumes of solids of revolution. Prerequisite: Mathematics 20 (completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 5 hours, 0-1 laboratory hour. (CAN MATH 18; MATH 1 + 2 = CAN MATH SEQ B, MATH 1 + 2 + 3 = CAN MATH SEQ C) Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B, IGETC Area 2
2 CALCULUS II - 5 UNITS
Continuation of single-variable differential and integral calculus. Topics covered include: inverse and hyperbolic functions; techniques of integration; parametric equations; polar coordinates; sequences, series, power series and Taylor series. Introduction to Cartesian coordinates in three dimensions and operations with vectors. Primarily for mathematics, physical science and engineering majors. Prerequisite: Mathematics 1 (completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 5 hours lecture, 0-1 laboratory hours. (CAN MATH 20; MATH 1 + 2 + 3 = CAN MATH SEQ C) Transfer: CSU, UC*; GE: LPC AA/AS, IGETC Area 2
3 MULTIVARIABLE CALCULUS 5 - UNITS
Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Green’s Stokes’ and divergence theorem, applications. Prerequisite: Mathematics 2 (completed with a grade of "C" or higher). 5 hours. (CAN MATH 22; MATH 1 + 2 + 3 = CAN MATH SEQ C) Transfer: CSU, UC; GE: IGETC Area 2
5 ORDINARY DIFFERENTIAL EQUATIONS - 3.5 UNITS
Introduction to differential equations including the conditions under which a unique solution exists, techniques for obtaining solutions, and applications. Techniques include generation of series solutions, use of Laplace Transforms, and the use of eigenvalues to solve linear systems. Generation of exact solutions, approximate solutions, and graphs of solutions using MATLAB. Prerequisite: Mathematics 3 (completed with a grade of C or higher). 3 hours lecture, 2 hours laboratory. (CAN MATH 24) Transfer: CSU, UC; GE: IGETC Area 2
7 ELEMENTARY LINEAR ALGEBRA - 3.5 UNITS
An introduction to linear algebra including: techniques and theory needed to solve and classify systems of linear equations using Gaussian elimination and matrix algebra; properties of vectors in n-dimensions; generalized vector spaces, inner product spaces, basis, norms, orthogonality; eigenvalues, eigenspaces; and linear transformations. Selected applications of linear algebra, including the use of MATLAB™ to solve problems involving advanced numerical computation. Prerequisite: Mathematics 2 (completed with a grade of C or higher). 3 hours lecture, 2 hours laboratory. Transfer: CSU, UC; GE: IGETC Area 2
10 DISCRETE MATHEMATICS - 4 UNITS
Designed for majors in mathematics and computer science, this course provides an introduction to discrete mathematical structures and their applications, including: propositional and predicate logic; rules of inference; quantifiers; elements of integer number theory; set theory; methods of proof; induction; combinatorics and discrete probability; functions and relations; recursive definitions and recurrence relations; elements of graph theory and trees. Applications include: analysis of algorithms, Boolean algebras and digital logic circuits. Prerequisite: Mathematics 1 (completed with a grade of “C” or higher). 4 hours lecture, 1 hour laboratory. (CAN CSCI 26) Transfer: CSU, UC; GE: IGETC Area 2
20 PRE-CALCULUS MATHEMATICS - 5 UNITS
Rational functions and relations with emphasis on logical development and graphing. Solution of polynomial equations and inequalities, graphing conic sections, mathematical induction, binomial theorem; strengthening of skills in working with exponential, logarithmic, and trigonometric functions, equations, graphs, and applications. Prerequisite: Mathematics 36, 36Y or Mathematics 38 (completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 5 hours, 0-1 laboratory hour. Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B, IGETC Area 2
33 FINITE MATHEMATICS - 4 UNITS
Straight lines, systems of linear equations, matrices, systems of linear inequalities, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and the social sciences. Prerequisite: Mathematics 55 or 55B or 55Y (completed with a grade of "C" or higher) or an appropriate skill level as demonstrated through the mathematics assessment process. 4 hours lecture, 0-1 hours laboratory. (CAN MATH 12) Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B, IGETC Area 2
34 CALCULUS FOR BUSINESS AND SOCIAL SCIENCES - 5 UNITS
Functions and their graphs; limits of functions; differential and integral calculus of algebraic, exponential and logarithmic functions. Applications in business, economics, and social sciences and use of graphing calculators. Partial derivatives and the method of LaGrange multipliers. Prerequisite: Mathematics 55, 55B, or 55Y (completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics Assessment process. 5 hours, 0 – 1 laboratory hours. (CAN MATH 34) Transfer: CSU, UC*; GE: LPC AA/AS, CSU GE Area B; IGETC Area 2.
38 TRIGONOMETRY WITH GEOMETRY - 5 UNITS
Plane trigonometry with topics from plane geometry. Geometry includes congruence, properties of polygons, parallel and perpendicular lines, similarity, area, volumes, and coordinate geometry. Trigonometry includes trigonometric functions, trigonometric equations, graphs, triangle solutions, identities, polar coordinates and complex numbers. Prerequisite: Mathematics 55 or 55B or 55Y (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics Assessment process. A student who completes Mathematics 36 or 36Y will receive no credit for taking Mathematics 38. 5 hours lecture, 0-1 laboratory hour. Transfer: CSU; GE: LPC AA/AS.
41 STATISTICS FOR BUSINESS MAJORS - 5 UNITS
Descriptive Statistics, measures of central tendency, dispersion and position, elements of probability, confidence intervals; hypothesis tests for one and two populations; probability distributions; analysis of variance; correlation and regression; non-parametric tests; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. Prerequisite: Mathematics 34 or Mathematics 1 (completed with a grade of "C" or higher) or equivalent. 5 hours. Transfer: CSU; UC*, GE: LPC AA/AS
42A INTRODUCTION TO PROBABILITY AND STATISTICS - 3 UNITS
Descriptive statistics, including measures of central tendency and dispersion; elements of probability; tests of statistical hypotheses; correlation and regression; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. Prerequisite: Mathematics 55 or 55B (completed with a grade of "C" or higher), or 2 years of high school algebra and an appropriate skill level demonstrated through the Mathematics assessment process. 3 hours lecture, 1 hour lab. (CAN STAT 2) Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B, IGETC Area 2
42B STATISTICAL ANALYSIS - 3 UNITS
Statistical analysis, including comparisons of two populations, chi-square applications, analysis of variance, nonparametric methods, regression and correlation. Use of a computer software package to complete statistics problems. Prerequisite: Mathematics 42A (completed with a grade of "C" or higher). 3 hours lecture, 1 hour lab. Transfer: CSU, UC*; GE: CSU Area B, IGETC Area 2
44 STATISTICS AND PROBABILITY - 5 UNITS
Descriptive Statistics; measures of central tendency, dispersion and position; elements of probability; confidence intervals; hypothesis tests; two-population comparisons; analysis of variance; correlation and regression; non-parametric tests; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. Prerequisite; Mathematics 55, 55B or 55Y (completed with a grade of "C" or higher) or 2 years of high school algebra and an appropriate skill level demonstrated through the Mathematics assessment process. 5 hours. Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B, IGTEC Area 2
45 COLLEGE ALGEBRA - 3 UNITS
Polynomial, rational, exponential, and logarithmic functions; theory of equations; matrices and determinants; analytic geometry; sequences, series and the binomial theorem; mathematical induction. Prerequisite: Math 55 or Math 55B or 55Y (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics placement process. 3 hours lecture, 0-1 lab hours. Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B
55 INTERMEDIATE ALGEBRA - 5 UNITS
Concepts involving complex numbers, quadratic equations, parabolas and circles, functions and their graphs, systems of equations, rational exponents, radical equations, absolute value equations and inequalities, exponential and logarithmic functions and equations. Prerequisite: Math 65 or 65B or 65Y(completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. May not receive credit if Mathematics 55B or 55Y has been completed. 5 lecture hours, 0-1 laboratory hour. GE: LPC AA/AS
55A INTERMEDIATE ALGEBRA A - 3 UNITS
Concepts covered in the first half of Mathematics 55 including complex numbers, quadratic equations, radical expressions, radical equations, rational exponents, absolute value equations and inequalities, and functions and their graphs. Prerequisite: Mathematics 65 or 65B or 65Y (completed with a grade of C or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. May not receive credit if Mathematics 55 or Mathematics 55X has been completed. 3 hours lecture, 0-1 laboratory hour. GE: LPC AA/AS
55B INTERMEDIATE ALGEBRA B - 3 UNITS
Concepts covered in the second half of Mathematics 55 including parabolas and circles, function composition, inverse functions and their graphs, systems of equations, and exponential and logarithmic functions and equations. Prerequisite: Math 55A or 55X (either completed with a grade of “C” or higher). May not receive credit if Mathematics 55 or 55Y have been completed. 3 lecture hours, 0-1 laboratory hour. GE: LPC AA/AS
57 PLANE GEOMETRY - 3 UNITS
Topics in plane geometry. Includes congruence, similarity, parallel lines, and properties of polygons and circles. Prerequisite: Mathematics 65 or 65B (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 3 hours. GE: LPC AA/AS
65 ELEMENTARY ALGEBRA - 5 UNITS
Elementary concepts, including signed numbers, integral exponents, polynomials and rational expressions, linear, quadratic and rational equations; linear inequalities; introduction to graphs and set theory; systems of equations. Prerequisite: Mathematics 106 or 107X or 105(completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. Equivalent to Math 65X and 65Y. May not receive credit if Mathematics 65B or 65Y have been completed. 5 hours, 0-1 laboratory hour. GE: LPC AA/AS
65A ELEMENTARY ALGEBRA A - 3 UNITS
Concepts covered in the first half of Mathematics 65, including signed numbers, polynomials and integer exponents; linear equations and inequalities; introduction to graphs; set theory. Designed for those with no previous algebra background. Prerequisite: Mathematics 106 or 107Y (completed with a grade of C or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. May not receive credit if Mathematics 65 or 65X has been completed. 3 hours lecture, 0-1 laboratory hour.
65B ELEMENTARY ALGEBRA B 3 - UNITS
Concepts covered in the second half of Mathematics 65, including factoring, rational expressions and complex fractions; system of linear equations, quadratic and rational equations; graphing. Prerequisite: Mathematics 65A or 65X (completed with a grade of “C” or higher). May not receive credit if Mathematics 65 or 65Y has been completed. 3 hours lecture, 0-1 laboratory hour. GE: LPC AA/AS
71 APPLIED MATHEMATICS FOR TECHNICIANS - 3 UNITS
Calculator techniques for whole number and decimal arithmetic problem-solving, fraction-decimal conversions, geometry, numerical trigonometry; conversions between the U.S. and metric systems; emphasis on applications from technical fields. 3 hours. GE: LPC AA/AS
106 BASIC MATHEMATICS - 3.5 UNITS
Review and practice in fundamental computational skills including operations with whole numbers, common fractions, decimals, percents, ratios, and proportions. Metric and English systems of measurement geometric formulas. Introduction to algebra including signed numbers and simple linear equations. (May not receive credit if Mathematics 107 has been completed.) 3 hours lecture, 2 hours lab.
107 PRE-ALGEBRA - 4 UNITS
This course is intended to serve as a bridge between arithmetic and Elementary Algebra. It includes a review of arithmetic, operations involving signed integers, fractions and decimals, variables and variable expressions, simple linear equations and their graphs, percent and proportion, introduction to statistics, geometry and measurement, and application problems. 3 hours lecture, 3 hours laboratory.
