Mathematics (MATH)

MATH N01 F Supervised Tutoring: Math 0 Hours

NON-CREDIT COURSE: This course provides individual tutoring based on each student's needs in mathematics and computer science. Students wishing to use the Math Lab must enroll in this course. (Non-Degree Credit)

MATH 015 F Pre-Algebra 4 Units

72 hours lecture per term. This course includes operations on integers, fractions, mixed numbers and decimals, ratio, proportion and percentages, working with variable expressions, interpretation of statistical graphs, measurement and geometry, and an introduction to polynomials and graphing. Calculators will be required for selected topics. (Non-Degree Credit)

MATH 020 F Elementary Algebra 4 Units

Advisory: MATH 015 F or any previous algebra course

72 hours lecture per term. This course includes the properties of real numbers, factoring, exponents and radicals, solving and graphing linear equations, polynomials and rational algebraic expressions, and linear systems of equations. Calculators will be required for selected topics. (Degree Credit).

MATH 024 F Pre-Statistics 6 Units

108 hours lecture per term. This course is an accelerated pathway to prepare students for transfer-level statistics. It covers core concepts from elementary algebra, intermediate algebra, and descriptive statistics. Topics include ratios, rates and proportional reasoning; arithmetic reasoning using fractions, decimals and percents; evaluating expressions, solving equations, analyzing algebraic forms to understand statistical measures; use of linear, quadratic, absolute value, exponential, and logarithmic functions to model bivariate data; graphical and numerical descriptive statistics for quantitative and categorical data. (Degree Credit)

MATH 030 F Plane Geometry 4 Units

Advisory: MATH 020 F or any previous algebra course

72 hours lecture per term. This course is an introduction to Euclidean geometry and includes theorems and proofs, sets, congruent and similar polygons, circles, geometric constructions, areas, volumes, geometric loci, elementary logic and deductive reasoning. Calculators may be required for selected topics. (Degree Credit)

MATH 040 F Intermediate Algebra 4 Units

Prerequisite(s): MATH 020 F with a grade of C or better or by assessment through the college's multiple measures placement processes

72 hours lecture per term. This intermediate algebra course is appropriate for students preparing to take MATH 129 F, MATH 141 F, MATH 141HF, or MATH 142 F. This course includes products and factoring, exponents and radicals, fractions, functions and graphs, linear and quadratic equations, linear inequalities, logarithms and related topics at an intermediate level. Calculators will be used for selected topics. This course also meets the prerequisite for MATH 100 F, MATH 120 F, MATH 120HF and SOSC 120 F. Students who receive credit for MATH 040 F may not receive credit for MATH 041 F. (Degree Credit) AA GE

MATH 041 F Combined Elementary and Intermediate Algebra 6 Units

108 hours lecture per term. This course is designed for students who would like to complete elementary and intermediate algebra in one semester. It covers factoring, exponents, linear, quadratic, rational, and absolute value equations and inequalities, radical equations, operations with polynomials, radical and rational expressions, systems of equations and inequalities, linear, quadratic, exponential and logarithmic functions and their graphs, complex numbers, and conic sections. Students who have completed MATH 020 F may take MATH 040 F, MATH 041 F or MATH 043 F. However, students who receive credit for MATH 041 F may not receive credit for MATH 040 F. (Degree Credit) AA GE

MATH 043 F Intermediate Algebra for Statistics and Liberal Arts 4 Units

Prerequisite(s): MATH 020 F with a grade of C or by assessment through the college's multiple measures placement processes

72 hours lecture per term. This course emphasizes applications, mathematical modeling of data and interpretation of results. The course includes linear, quadratic, rational, exponential and logarithmic functions and their graphs, solving equations involving these functions, solving linear inequalities, and solving systems of linear equations at an intermediate level. Graphing calculators will be required for selected topics. (Degree Credit) AA GE

MATH 100 F Liberal Arts Mathematics 3 Units

Prerequisite(s): MATH 040 F or MATH 041 F, with a grade of C or better or by assessment through the college multiple measures placement processes

Some assessments may result in the student being required or recommended to take MATH 033 F as a concurrent support course instead of taking a prerequisite course. 54 hours lecture per term. This course provides an introduction to a variety of mathematical topics including the mathematics of finance, set theory, probability, statistics, logic or geometry, and other selected topics. It is designed for students majoring in liberal arts, education or communication. Calculators or computers may be used for selected topics. Letter Grade or Pass/No Pass option. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 120 F Introductory Probability and Statistics 4 Units

Prerequisite(s): Intermediate Algebra or the equivalent

72 hours lecture per term. This course covers descriptive statistics, elementary probability theory and inferential statistics. Topics covered include summarizing data in tables and graphs, computation of descriptive statistics, sample spaces, classical probability theory, rules of probability, probability distributions, confidence intervals for population parameters, hypothesis testing, use of ANOVA for comparing means, correlation and regression and Chi-Square Distribution with applications. Scientific and/or graphing calculators will be used extensively throughout the course. Computers utilizing software specifically designed for statistical calculations and graphing will be used for various topics. MATH 121 F is comparable to MATH 120 F and may be used for the alleviation of substandard grades. Students who receive credit for MATH 120 F may not receive credit for SOSC 120 F. (Degree Credit) (CSU) (UC Credit Limitation: MATH 120 F, MATH 120HF, PSY 161 F, PSY 161HF and SOSC 120 F combined; maximum credit, one course) AA GE, CSU GE, IGETC (C-ID: MATH 110)

MATH 120HF Honors Introductory Probability and Statistics 4 Units

Prerequisite(s): Intermediate Algebra or the equivalent

72 hours lecture per term. This Honors-enhanced course covers descriptive statistics, elementary probability theory and inferential statistics. Topics covered include: summarizing data in tables and graphs, computation of descriptive statistics, sample spaces, classical probability theory, rules of probability, probability distributions, confidence intervals for population parameters, hypothesis testing, use of ANOVA for comparing means, correlation and regression and Chi-Square Distribution with applications. Scientific and/or graphing calculators will be used extensively throughout the course. Computers utilizing software specifically designed for statistical calculations and graphing will be used for various topics. Students who receive credit for MATH 120HF may not receive credit for SOSC 120 F. (Degree Credit) (CSU) (UC Credit Limitation: MATH 120 F, MATH 120HF, PSY 161 F, PSY 161HF and SOSC 120 F combined; maximum credit, one course) AA GE, CSU GE, IGETC (C-ID: MATH 110)

MATH 121 F Introductory Probability and Statistics with Support 5 Units

Prerequisite(s): MATH 024 F or MATH 040 F or MATH 041 F or MATH 043 F, with a grade of C or better, or by assessment through the college’s multiple measures placement processes

90 hours lecture per term. This course contains the same content as MATH 120 F, but includes a fifth unit of instruction to help students who can benefit from additional support. This course covers descriptive statistics, elementary probability theory and inferential statistics. Topics covered include summarizing data in tables and graphs, computation of descriptive statistics, sample spaces, classical probability theory, rules of probability, probability distributions, confidence intervals for population parameters, hypothesis testing, correlation and regression and Chi-Square Distribution with applications. Scientific and/or graphing calculators will be used extensively throughout the course. Computers utilizing software specifically designed for statistical calculations and graphing will be used for various topics. Students who receive credit for MATH 121 F may not receive credit for MATH 120 F, MATH 120HF, PSY 161 F, PSY 161HF or SOSC 120 F. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 129 F College Algebra for Business Calculus 4 Units

Prerequisite(s): MATH 040 F or MATH 041 F with a grade of C or better, or math skills clearance

72 hours lecture per term. This course includes a review of basic topics from intermediate algebra, equations and inequalities, functions and graphing including exponential and logarithmic functions, building mathematical models in business, finance and economics, systems of equations and inequalities, and an introduction to spreadsheets and/or graphing software. The course is designed for students planning to enroll in MATH 130 F. A scientific calculator will be required; a graphing calculator may be required. (This course does not meet requirements in the Business Division and will not substitute for BUS 151 F. See Business and Computer Information Systems Division for Business requirements.) (Degree Credit) (CSU) (UC Credit Limitation) AA GE, CSU GE

MATH 130 F Calculus for Business 4 Units

Prerequisite(s): MATH 040 F or MATH 041 F with a grade of C or better, or assessment through the college multiple measures placement process

72 hours lecture per term. This course includes fundamentals of analytic geometry and calculus; differential calculus, integral calculus, and selected applications of calculus; functions and managerial planning and their use in economics and business. A scientific calculator will be required; a graphing calculator may be required. Computer applications may be included. (CSU) (UC Credit Limitation; MATH 130 F, MATH 151 F and MATH 151HF, combined maximum credit one course) (Degree Credit) AA GE, CSU GE, IGETC (C-ID: MATH 140)

MATH 131 F Calculus for Business with Support 5 Units

Prerequisite(s): MATH 040 F or MATH 041 F, with a grade of C or better, or assessment through the college's multiple measures placement process

90 hours lecture per term. This course contains the same content as MATH 130 F, but includes a fifth unit of instruction to help students who can benefit from additional support. This course includes fundamentals of analytic geometry and calculus; differential calculus, integral calculus, and selected applications of calculus; functions and managerial planning and their use in economics and business. A scientific calculator will be required; a graphing calculator may be required. Computer applications may be included. (Degree Credit) (CSU) (UC Credit Limitation; MATH 130 F, MATH 131 F, MATH 151 F and MATH 151HF combined: maximum credit, 1 course, 4 units) AA GE, CSU GE, IGETC

MATH 140 F Precalculus 6 Units

Prerequisite(s): Intermediate Algebra or the equivalent

108 hours lecture per term. This course includes the study of polynomial, absolute value, radical, rational, exponential, and logarithmic functions, analytic geometry, and polar coordinates. The study of trigonometric functions, their inverses and their graphs, identities and proofs related to trigonometric expressions, trigonometric equations, solving right triangles, solving triangles using the Law of Cosines and the Law of Sines, and introduction to vectors.

MATH 141 F College Algebra 4 Units

Prerequisite(s): MATH 030 F, and MATH 040 F or MATH 041 F, with a grade of C or better or by assessment through the college's multiple measures placement processes

63 hours lecture and 27 hours lab per term. This course is designed to prepare students for the study of calculus. The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first- and second-degree equations and inequalities, systems of equations, matrices, binomial theorem, polynomial functions, exponential and logarithmic functions, analytic geometry and conic sections, geometric and arithmetic sequences and series, and miscellaneous topics. Graphing calculators will be incorporated. This course may be taken prior to or concurrently with MATH 142 F or MATH 144 F. Both MATH 141 F or MATH 141HF or MATH 143 F and MATH 142 F or MATH 144 F are required for enrollment in MATH 151 F or MATH 151HF. (Degree Credit) (CSU) (UC Credit Limitation; MATH 129 F, MATH 141 F, MATH 141HF, and MATH 143 F combined; maximum credit, 1 course) AA GE, CSU GE, IGETC

MATH 141HF Honors College Algebra 4 Units

Prerequisite(s): MATH 030 F, and MATH 040 F or MATH 041 F, with a grade of C or better or by assessment through the college’s multiple measures placement processes

63 hours lecture and 27 hours lab per term. This Honors-enhanced course is designed to prepare students for the study of calculus. The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first- and second-degree equations and inequalities, systems of equations, matrices, binomial theorem, polynomial functions, exponential and logarithmic functions, analytic geometry and conic sections, geometric and arithmetic sequences and series, and miscellaneous topics. Graphing calculators will be incorporated. This course may be taken prior to or concurrently with MATH 142 F. Both MATH 141 F or MATH 141HF or MATH 143 F and MATH 142 F or MATH 144 F are required for enrollment in MATH 151 F or MATH 151HF. (Degree Credit) (CSU) (UC Credit Limitation; MATH 129 F, MATH 141 F, MATH 141HF, and MATH 143 F combined; maximum credit, 1 course) AA GE, CSU GE, IGETC

MATH 142 F Trigonometry 4 Units

Prerequisite(s): MATH 030 F, and MATH 040 F or MATH 041 F, with a grade of C or better or by assessment through the college's multiple measures placement processes

Some assessments may result in the student being required or recommended to take a concurrent support course, MATH 034 F, instead of taking a prerequisite course. 72 hours lecture per term. This is a one-semester course in trigonometry designed to prepare students for the study of calculus. The topics to be covered include the following: algebraic skills, measurements of angles, trigonometric functions and inverse trigonometric functions, trigonometric equations and identities, graphing of trigonometric functions, solutions of triangles, applications, complex numbers, polar coordinates and DeMoivre's Theorem. Graphing calculators will be used for selected topics. Course may be taken concurrently with MATH 141 F or MATH 141HF or MATH 143 F. Both MATH 141 F or MATH 141HF or MATH 143, and MATH 142 F are required for enrollment in MATH 151 F. (Degree Credit) (CSU) AA GE, CSU GE

MATH 143 F College Algebra with Support 5 Units

Prerequisite(s): MATH 030 F and MATH 040 F or MATH 041 F, with a grade of C or better or equivalent or by assessment through the college's multiple measures placement processes

81 hours lecture and 27 hours lab per term. This course is designed to prepare students for the study of calculus. This course contains the same content as MATH 141 F, but includes a fifth unit of instruction to help students who can benefit from additional support. The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first- and second-degree equations and inequalities, systems of equations, matrices and determinants, binomial theorem, mathematical induction, polynomial functions, exponential and logarithmic functions, analytic geometry and conic sections, geometric and arithmetic sequences and series, and miscellaneous topics. Graphing calculators will be incorporated. This course may be taken prior to or concurrently with MATH 142 F. Both MATH 141 F or MATH 141HF or MATH 143 F, and MATH 142 F are required for enrollment in MATH 151 F. Students who receive credit for MATH 143 F may not receive credit for MATH 141 F or MATH 141HF. (Degree Credit) (CSU) (UC Credit Limitation; MATH 129 F, MATH 141 F, MATH 141HF and MATH 143 F combined: maximum credit, 1 course, 4 units) AA GE, CSU GE, IGETC

MATH 144 F Trigonometry with Support 5 Units

Prerequisite(s): MATH 030 F and MATH 040 F or MATH 041 F, with a grade of C or better or by assessment through the college's multiple measures placement processes

90 hours lecture per term. This is a one-semester course in trigonometry designed to prepare students for the study of calculus. The topics to be covered include the following: algebraic skills, measurements of angles, trigonometric functions and inverse trigonometric functions, trigonometric equations and identities, graphing of trigonometric functions, solutions of triangles, applications, complex numbers, polar coordinates and DeMoivre's Theorem. Graphing calculators will be used for selected topics. Course may be taken concurrently with MATH 141 F or MATH 141HF or MATH 143 F. Both MATH 141 F or MATH 141HF or MATH 143 F, and MATH 142 F or MATH 144 F are required for enrollment in MATH 151 F. (Degree Credit) (CSU) AA GE, CSU GE

MATH 151 F Calculus I (formerly MATH 150AF) 4 Units

Prerequisite(s): MATH 141 F or MATH 141HF or MATH 143 F and MATH 142 F, with a grade of C or better, or by assessment through the college’s multiple measures placement processes

72 hours lecture per term. This course covers limits and continuity, differentiation of algebraic, transcendental and inverse functions, applications of differentiation, antiderivatives and indefinite integrals, and the definite integral. Graphing calculators or related software will be used for selected topics. (CSU) (UC Credit Limitation: MATH 130 F, MATH 151 F and MATH 151HF combined; maximum credit, one course) (Degree Credit) AA GE, CSU GE, IGETC (C-ID: MATH 210, MATH 900 S)

MATH 151HF Honors Calculus I (formerly MATH 150HF) 4 Units

Prerequisite(s): MATH 141 F or MATH 141HF or MATH 143 F and MATH 142 F, with a grade of C or better, or by assessment through the college’s multiple measures placement processes

72 hours lecture per term. This Honors-enhanced course covers limits and continuity, differentiation of algebraic, transcendental and inverse functions, applications of differentiation, anti-derivatives and indefinite integrals, and the definite integral. Graphing calculators will be used for selected topics. (Degree Credit) (CSU) (UC Credit Limitation: MATH 130 F, MATH 151 F and MATH 151HF, combined maximum credit one course) AA GE, CSU GE, IGETC (C-ID: MATH 210, MATH 900 S)

MATH 152 F Calculus II (formerly MATH 150BF) 4 Units

Prerequisite(s): MATH 151 F or MATH 151HF, with a grade of C or better

72 hours lecture per term. This is a second semester calculus course covering differential equations, applications of integration, integration techniques, improper integrals, sequences and series, conics, parametric equations, and polar coordinates. Graphing calculators will be used for selected topics. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC (C-ID: MATH 220, MATH 900 S)

MATH 152HF Honors Calculus II 4 Units

Prerequisite(s): MATH 151 F or MATH 151HF, with a grade of C or better

72 hours lecture per term. This Honors-enhanced second semester calculus course covers differential equations, applications of integration, integration techniques, improper integrals, sequences and series, conics, parametric equations, and polar coordinates. Graphing calculators will be used for selected topics. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC (C-ID: MATH 220, MATH 900 S)

MATH 170 F Discrete Structures 5 Units

Prerequisite(s): MATH 140 F with a grade of C or better, or MATH 141 F or MATH 141HF or MATH 143 F and MATH 142 F or MATH 144 F, with a grade of C or better, or equivalent or by assessment through the college's multiple measures placement processes

Advisory: MATH 151 F or MATH 151HF

90 hours lecture per term. This course covers fundamental topics for computer science, such as logic, proof techniques, sets, introduction to computer programming, basic counting rules, relations, functions, recursion, graphs, and probability trees. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 171 F Discrete Mathematics 4 Units

Prerequisite(s): MATH 140 F with a grade of C or better, or MATH 141 or MATH 141HF or MATH 143 F and MATH 142 F or MATH 144 F, with a grade of C or better, or equivalent or by assessment through the college's multiple measures placement processes

Advisory: Some programming experience

72 hours lecture per term. This is one of two courses in discrete mathematical concepts needed in computer science, with an emphasis on their applications. Topics covered include functions, relations, sets, basic logic, proof techniques, basics of counting, Boolean algebra, recursion, graphs, trees, and discrete probability. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 172 F Introduction to Linear Algebra 3 Units

Prerequisite(s): MATH 140 F with a grade of C or better, or MATH 141 F or MATH 141HF or MATH 143 F and MATH 142 F or MATH 144 F, with a grade of C or better, or by assessment through the college's multiple measures placement processes

54 hours lecture per term. This is one of two courses in discrete mathematical concepts needed in computer science. This course introduces linear algebra, including systems of linear equations, matrix algebra, determinants, eigenvalues and eigenvectors, vectors, and basic vector spaces. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 203 F Mathematics for Future Elementary Teachers 3 Units

Prerequisite(s): MATH 100 F or STAT C1000 or STAT C1000E or STAT C1000H or MATH 129 F or MATH 130 F or MATH 141 F or MATH 143 F or MATH 141HF or MATH 142 F or MATH 151 F or MATH 151HF or MATH 152 F or MATH 152HF or MATH 170 F or MATH 171 F or MATH 172 F or MATH 251 F or MATH 252 F or MATH 253 F or MATH 255 F or MATH 260 F, with a grade of C or better

54 hours lecture per term. This course is designed for prospective elementary teachers. Topics covered include: problem-solving techniques, whole numbers and numeration, set theory, elementary number theory, integers, rational numbers, ratios, proportions, decimals, and percents. The course includes instruction delivery design and activity-based explorations. (Degree Credit) (CSU) AA GE (C-ID: MATH 120)

MATH 251 F Multivariable Calculus (formerly MATH 250AF) 4 Units

Prerequisite(s): MATH 152 F or MATH 152HF, with a grade of C or better

72 hours lecture per term. This is a third semester course in calculus covering solid analytic geometry, vectors in three dimensions, vector calculus, differential calculus of functions of several variables, multiple integration, vector fields and theorems. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC (C-ID: MATH 230)

MATH 252 F Linear Algebra and Differential Equations (formerly MATH 250BF) 4 Units

Prerequisite(s): MATH 251 F with a grade of C or better

72 hours lecture per term. This is a fourth-semester calculus course covering matrices, determinants, vector spaces, ordinary differential equations of the first order, linear differential equations of higher order, power series solutions, and Laplace transforms. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 253 F Additional Topics in Linear Algebra (formerly MATH 250CF) 2 Units

Corequisite(s): MATH 252 F with a grade of C or better

36 hours lecture per term. This course completes the introduction to Linear Algebra begun in MATH 252 F. Topics covered include linear transformations and their properties, the Dimension-sum theorem, matrices of linear transformations, inner product spaces and their properties, orthogonality, the Gram-Schmidt process, diagonalizability of symmetric matrices, and simplifying quadratic forms. (Degree Credit) (CSU) (UC) AA GE

MATH 255 F Linear Algebra 3 Units

Prerequisite(s): MATH 151 F or MATH 151HF, with a grade of C or better

Advisory: MATH 152 F or MATH 152HF and familiarity with vectors

54 hours lecture per term. This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Properties of vectors in two and three dimensions are investigated, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC (C-ID: MATH 250)

MATH 260 F Ordinary Differential Equations 3 Units

Prerequisite(s): MATH 152 F or MATH 152HF, with a grade of C or better

Advisory: MATH 251 F and familiarity with matrices and determinants

54 hours lecture per term. This course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including series solutions with singular points, Laplace transforms, and linear systems. (Degree Credit) (CSU) (UC) AA GE, CSU GE, IGETC

MATH 290 F Pure Mathematics Seminar 2 Units