Course Descriptions: MATHEMATICS

Click here to view a normal sequence of mathematics courses at Cañada College. A student who qualifies for a particular mathematics course is eligible for any course lower in the sequence. If the student has not taken a mathematics course during the previous two years, it is strongly recommended that the student enroll in a course below the one for which he/she would normally be eligible. In general, eligibility of an incoming freshman for a mathematics course is determined by an evaluation of his/her transcript and scores on the District mathematics placement test.

Questions regarding the equivalency of college preparatory mathematics beginning with elementary algebra, taken in elementary or secondary school, should be referred to the Division Dean.

MATH 110 ELEMENTARY ALGEBRA

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 811, or appropriate score on District math placement test and other measures as appropriate. Description: This is the first course in a 2-part series covering elementary and intermediate algebra. Topics include the real number system, linear equations, linear inequalities, graphing, systems of equations, integer exponents, polynomials, factoring, proportions, rational expressions, and problem solving. Students who complete this course with a C or better are advised to enroll in MATH 120.

MATH 111 ELEMENTARY ALGEBRA I

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): 3 units of MATH 811, or appropriate score on District math placement test and other measures as appropriate. Description: This course is equivalent to the first half of MATH 110. Topics include the real number system, linear equations, linear inequalities, graphing, and systems of equations. Students who complete this course with a C or better are advised to enroll in MATH 112.

MATH 112 ELEMENTARY ALGEBRA II

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 111. Description: This course is equivalent to the second half of MATH 110 and is a continuation of MATH 111. Topics include integer exponents, polynomials, factoring, proportions, and rational expressions. Students who complete this course with a C or better are advised to enroll in MATH 122.

MATH 115 GEOMETRY

MATH 120 INTERMEDIATE ALGEBRA

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 110 or 112, or appropriate score on District math placement test and other measures as appropriate. Description: This is the second course in a 2-part series covering elementary and intermediate algebra and is a continuation of MATH 110. Topics include a review of equations, absolute value, lines and graphs, functions, rational exponents, radical expressions and equations, quadratic equations and graphs, exponential functions, and logarithmic functions. Additional topics may include conic sections and systems of equations.

MATH 122 INTERMEDIATE ALGEBRA I

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 110 or 112, or appropriate score on District math placement test and other measures as appropriate. Description: This is the third course in a 4 part series covering elementary and intermediate algebra and is a continuation of MATH 112. Topics include a review of equations, absolute value, lines and graphs, functions, rational exponents, radical expressions and equations, and complex numbers. Students who complete this course with a C or better should enroll in MATH 123.

MATH 123 INTERMEDIATE ALGEBRA II

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 122. Description: This is the last course in a 4 part series covering elementary and intermediate algebra and is a continuation of MATH 122. Topics include quadratic equations, inverse functions, exponential functions, and logarithmic functions. Optional topics include the conic sections and nonlinear systems.

MATH 125 ELEMENTARY FINITE MATHEMATICS

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 120 or 121 or 123, or appropriate score on District math placement test and other measures as appropriate. Description: This is an introduction to finite mathematics with attention to set theory, counting theory, probability, systems of equations, vector and matrix theory, inequalities and linear programming. Transfer: CSU: B4, UC. (IGETC: 2)

MATH 130 ANALYTICAL TRIGONOMETRY (CAN MATH 8)

MATH 140 MATHEMATICS FOR GENERAL EDUCATION (CAN MATH 2)

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 120 or 121 or 123, or appropriate score on District math placement test and other measures as appropriate. Description: This course fulfills the general education requirements in mathematics, and is designed for majors with no specific math requirement. The goal is to develop in students an appreciation for the beauty and utility of mathematics. Topics can include logic, problem solving, probability, statistics, geometry, mathematics of finance, systems of numeration, mathematical modeling, and computers. Transfer: CSU: B4, UC.

MATH 150 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 115 and 120. Description: This course is intended for future elementary school teachers. Topics covered include elementary set theory, numeration, number systems and operations, and elementary number theory, with emphasis on problem solving. Transfer: CSU, UC.

MATH 200 ELEMENTARY PROBABILITY AND STATISTICS (CAN STAT 2)

Units 4; Class Hours: Minimum of 64 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 120 or 121 or 123, or appropriate score on District math placement test and other measures as appropriate. Description: This course presents the basic concepts underlying statistical methods and covers descriptive statistics, probability, probability distributions, hypothesis testing, estimates and sample sizes, correlation and regression, chi-square tests, analysis of variance, and nonparametric statistics. Computer analysis of statistical data is integrated into the course. Applications of statistics to business, life sciences and other areas are included. Transfer: CSU: B4, UC. (IGETC: 2)

MATH 219 PRE-CALCULUS COLLEGE ALGEBRA/TRIGONOMETRY (CAN MATH 16)

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 130, or appropriate score on District math placement test and other measures as appropriate. Description: Unification of college algebra and analytical trigonometry based on the function concept. Topics include: properties of the real number system, inequalities, theory of equations, complex numbers, logarithmic and exponential functions, matrices, binomial theorem, sequence inverse functions. Transfer: CSU: B4, UC*. (IGETC: 2)

MATH 241 APPLIED CALCULUS I (CAN MATH 30) (CAN MATH SEQ D = MATH 241 + 242)

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 120 or 123, or appropriate score on District math placement test and other measures as appropriate. Description: The first class in a two semester calculus sequence designed for business, social science, technology, and life science majors. Topics include a review of functions, the derivative, applications of the derivative, and an introduction to the integral. Transfer: CSU: B4, UC*. (IGETC: 2)

MATH 242 APPLIED CALCULUS II (CAN MATH 32) (CAN MATH SEQ D = MATH 241 + 242)

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 130 and 241. Description: The second half of a two-semester calculus sequence designed for business, social sciences, technology, and life sciences majors. Topics include the integral, techniques of integration, multivariable calculus, and differential equations. Transfer: CSU: B4, UC*. (IGETC: 2)

MATH 251 ANALYTICAL GEOMETRY AND CALCULUS I (CAN MATH 18) (CAN MATH SEQ B = MATH 251 + 252) (CAN MATH SEQ C = MATH 251 + 252 + 253)

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 219 or appropriate score on District math placement test and other measures as appropriate. Description: This course is an introduction to calculus and analytic geometry including limits, continuity of functions, definition of differentiation, derivation of formulas, applications, anti-differentiation and the fundamental theorem of calculus. Transfer: CSU: B4, UC*. (IGETC: 2)

MATH 252 ANALYTICAL GEOMETRY AND CALCULUS II (CAN MATH 20) (CAN MATH SEQ B = MATH 251 + 252) (CAN MATH SEQ C = MATH 251 + 252 + 253)

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 420 and ENGL 100; Prerequisite(s): MATH 251. Description: This course is the second in a series of calculus and analytic geometry. This course covers the Fundamental Theorem of Calculus, antiderivatives, integral applications and techniques, power series and infinite series topics such as series testing and analysis of Taylor and power series. Transfer: CSU: B4, UC*. (IGETC: 2)

MATH 253 ANALYTICAL GEOMETRY AND CALCULUS III (CAN MATH 22) (CAN MATH SEQ C = MATH 251 + 252 + 253)

Units 5; Class Hours: Minimum of 80 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 420 and ENGL 100; Prerequisite(s): MATH 252. Description: This course is the third in a series of calculus and analytic geometry. This is the calculus of multivariable functions. The course covers topics in vectors, partial derivatives, double and triple integrals, line integrals and vector analysis theory such as Green’s, Stokes’, and Gauss’ Theorems. Transfer: CSU: B4, UC. (IGETC: 2)

MATH 268 DISCRETE MATHEMATICS

Units (Grade Option) 4; Class Hours: Minimum of 64 lecture hours/semester; Basic Skills Level: Open Curriculum; Prerequisite(s): MATH 251. Description: Covers topics in discrete mathematics with particular emphasis on computer science applications. Includes logic, sets, functions and relations mathematical induction, recursion, Boolean algebra, elementary number theory, probability, algebraic structures, statistics, graphs, counting and combinatorics. Transfer: CSU, UC.

MATH 270 LINEAR ALGEBRA

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 836, and ENGL 836 or ESL 400; Prerequisite(s): MATH 252. Description: Application of vectors and matrices to systems of linear equations, linear transformations, eigenvectors and eigenvalues, vector spaces and inner products. Transfer: CSU, UC. (IGETC: 2)

MATH 275 ORDINARY DIFFERENTIAL EQUATIONS (CAN MATH 24)

Units 3; Class Hours: Minimum of 48 lecture/16 by arrangement lab hours/semester; Recommended: Eligibility for READ 420 and ENGL 100; Prerequisite(s): MATH 252. Description: Applications involving differential equations and analytical, graphical and numerical solutions of linear differential equations and systems of linear differential equations, power-series solutions of nonlinear differential equations, and solution of linear differential equations with constant coefficients by Laplace Transforms. Transfer: CSU, UC. (IGETC: 2)

MATH 811 PRE-ALGEBRA

Units (Grade Option) 1-3; Class Hours: Minimum of 48 lecture/32 by arrangement lab hours/semester; Basic Skills Level: Open Curriculum; Prerequisite(s): None. Description: Covers the fundamental processes in arithmetic: reading mathematical notation, translating words into symbols, and properties of the real number system. Introduction to geometry and algebra. May be repeated for credit up to 3 units. Units do not apply toward AA/AS degree.

Updated: 7/9/08