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Division III

 


Mathematics Courses

Prerequisite Chart

Please Note: The course descriptions below are taken from the 2002-2004 Catalog. These descriptions reflect changes to Math 4, 6, and 8 as noted below.

X SUPERVISED PROGRAMMED LEARNING 1- 5 UNITS

Self-paced learning in mathematics using programmed materials under instructor supervision. Credit may be earned in Mathematics 36, 55, 55A, 55B, 65, 65A, 65B, 71, and 107, according to the level of achievement. 3-5 hours. (See course descriptions for transferability.)

1 ANALYTIC GEOMETRY AND CALCULUS I (5 UNITS)
Elements of analytic geometry, derivatives, limits and continuity, differentiation of algebraic and trigonometric functions, the definite integral. Prerequisite: Mathematics 20 (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 5 hours. (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 ANALYTIC GEOMETRY AND CALCULUS II 5 UNITS
Applications of the definite integral, techniques of integration, transcendental functions, inverse functions, hyperbolic functions, elements of analytic geometry, parametric equations, vectors in planes and three-dimensional spaces, elements of infinite series, power series, Taylor series. Prerequisite: Mathematics 1 (completed with a grade of "C" or higher). 5 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, theorems of Green, Stokes and Gauss, 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 DIFFERENTIAL EQUATIONS With COMPUTER APPLICATIONS (Formerly Math 4) 3.5 UNITS

Introduction to differential equations, including first and second order equations, series solutions, Laplace transforms, applications. Computing symbolic and graphical solutions using MATLAB. Prerequisite: Mathematics 2 (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 With COMPUTER APPLICATIONS (Formerly Math 6) 3.5 UNITS
Introduction to linear algebra: matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvalue, eigenvectors, applications. Computing symbolic and graphical solutions using MATLAB. 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 (Formerly Math 8) 4 UNITS
Sets and logic, methods of proof, induction, combinatorics, analysis of algorithms, relations recursive definitions, recurrence relations, graph theory, trees. Applications include Boolean algebra, logic circuits and automata. Designed for majors in mathematics and computer science. Prerequisite: Mathematics 1 (completed with a grade of "C" or higher). 4 hours. (CAN CSCI 26) Transfer: CSU, UC; GE: IGETC Area 2

11 CALCULUS WORKSHOP .5 UNITS
Provides mathematics students with laboratory, study group, collaborative workshop or computer laboratory time with an instructor. Will be attached to individual mathematics classes as needed. 2 hours lab.

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 skills in working with exponential, logarithmic and trigonometric functions, trigonometric equations, graphs, and applications. Prerequisite: Mathematics 36 or 38, (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 5 hours. Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B, IGETC Area 2

33 FINITE MATHEMATICS 4 UNITS
Systems of linear equations, linear programming, matrices, mathematics of finance, and an introduction to probability. Applications in business, economics, and the life and social sciences. Prerequisite: Mathematics 55 or 55B (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 4 hours. (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; differential and integral calculus of polynomial, exponential and logarithmic functions. Applications in business, economics, and social sciences. 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. (CAN MATH 34) Transfer: CSU, UC*; GE: LPC AA/AS, CSU GE Area B; IGETC Area 2.

36 TRIGONOMETRY 3 UNITS
Plane trigonometry. Includes trigonometric functions, trigonometric equations, graphs, triangle solutions, identities, De Moivre's Theorem. Prerequisite: Mathematics 57 or one year of high school plane geometry; and Mathematics 55 or 55B (both completed with a grade of "C" or higher), or an appropriate skill level demonstrated through the Mathematics assessment process. No credit for Math 36 if taken after Math 38. 3 hours. (CAN MATH 8) Transfer: CSU; GE: LPC AA/AS, CSU Area B

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, 55B or 55Y (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics Assessment process. No credit for Math 38 if taken after Math 36. 5 hours. 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
Functions and graphs; polynomials, rational functions, exponential and logarithmic functions; conic sections, binomial theorem, sequences and series. Prerequisite: Mathematics 55 or 55B (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. 3 hours. Transfer: CSU, UC*; GE: LPC AA/AS, CSU Area B

55 INTERMEDIATE ALGEBRA 5 UNITS
Concepts involving complex numbers, quadratic equations, conic sections, functions and relations and their graphs, exponential and logarithmic functions. Prerequisite: Mathematics 65 or 65B (completed with a grade of "C" of higher) or an appropriate skill level demonstrated through the Mathematics assessment process. No credit for Math 55 if taken after Math 55B. 5 hours. GE: LPC AA/AS

55A INTERMEDIATE ALGEBRA A 3 UNITS
Concepts covered in the first half of Math 55 including complex numbers, radical expressions and rational exponents, and quadratic equations. Prerequisite: Math 65 or Math 65B (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. Math 55A and 55 combined, maximum credit 5 units. 3 hours. GE: LPC AA/AS

55B INTERMEDIATE ALGEBRA B 3 UNITS
Concepts covered in the second half of Math 55 including conic sections, functions and relations, exponential and logarithmic functions. Prerequisite: Math 55A (complete with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. No credit for Math 55B if taken after Math 55. 3 hours. 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 algebraic concepts, including polynomials and rational expressions; linear, quadratic and rational equations; linear inequalities; introduction to graphs and set theory; systems of equations. Prerequisite: Mathematics 105, 105M, 106 or 107 (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. No credit for Math 65 if taken after Math 65B. GE: LPC AA/AS

65A ELEMENTARY ALGEBRA A 3 UNITS
Concepts covered in the first half of Math 65, including fundamental algebraic concepts and operations involving polynomials and integer exponents; linear equations and inequalities; introduction to graphs; set theory. Designed for those with no previous algebra background. Prerequisite: Mathematics 105, 106, or 107 (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. Math 65A and 65 combined, maximum credit 5 units. 3 hours.

65B ELEMENTARY ALGEBRA B 3 UNITS
Concepts covered in the second half of Math 65, including algebraic concepts and operations involving polynomials, rational expressions and complex fractions; system of linear equations; linear and quadratic equations; equations and inequalities involving absolute values. Prerequisite: Mathematics 65A (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. No credit for Math 65B if taken after Math 65. 3 hours. 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. Supervised programmed learning. 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 105 or 107 has been completed.)3 hours lecture, 2 hours lab.

107 PRE-ALGEBRA 4 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 and geometric formulas. Introduction to algebra including signed numbers and simple linear equations. Basic statistics and consumer mathematics. Supervised programmed learning. (May not receive credit if Mathematics 105 or 106 has been completed.) 4 hours.


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