Mathematics (MATH)

MATH N01 F Supervised Tutoring: Mathematics 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 & Comp Sci Tutoring Lounge must enroll in this course. (Non-Degree Credit)

MATH 051 F Support for Calculus I 2 Units

Corequisite(s): MATH 151 F

Concurrent 36 hours lecture per term. This course is a review of core prerequisite skills, competencies, and concepts needed in calculus. Tailored to student needs, these include topics from intermediate and college algebra, geometry, and trigonometry, such as: simplifying and factoring expressions, solving equations, functions and graphs, and properties of exponential, logarithmic, and trigonometric functions. Students enrolled in a section of MATH 051 F must be concurrently enrolled in the specific MATH 151 F section it is paired with. Pass/No Pass only. (Degree Credit)

MATH 100 F Liberal Arts Mathematics 3 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

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 100HF Honors Liberal Arts Mathematics 3 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

54 hours lecture per term. This Honors-enhanced 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. (Degree Credit) (CSU) (UC) AA GE Cal-GETC

MATH 129 F College Algebra for Business Calculus 4 Units

Prerequisite(s): Intermediate Algebra or the equivalent, 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 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): Intermediate Algebra or the equivalent, 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 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 151 F and MATH 151HF, combined maximum credit one course) AA GE, CSU GE, IGETC (C-ID: MATH 140)

MATH 131 F Calculus for Business with Support 5 Units

Prerequisite(s): Intermediate Algebra or the equivalent, 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 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, one 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): Intermediate Algebra or the equivalent, 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): Intermediate Algebra or the equivalent, 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): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

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): Intermediate Algebra or the equivalent, with a grade of C or better, 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): Intermediate Algebra or the equivalent, 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): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

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

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

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

36 hours lecture per term. This course is structured in order to engage students in dynamical mathematical subjects, including cutting-edge unsolved problems in pure/theoretical mathematics such as real analysis, complex analysis, geometry, topology, number theory, logic, experimental mathematics, as well as mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. MATH 290 F and MATH 290HF differ from other Mathematics Seminars in that the topics are exclusively devoted to theoretical mathematics and proofs in it. Seminar courses in mathematics can be taken in any order. (Degree Credit) (CSU) (UC Review required)

MATH 290HF Honors Pure Mathematics Seminar 2 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

36 hours lecture per term. This course offers an enriched approach designed for honors students. Pure mathematics seminars are structured in order to engage students in dynamical mathematical subjects, including cutting-edge unsolved problems in pure/theoretical mathematics such as real analysis, complex analysis, geometry, topology, number theory, logic, experimental mathematics, as well as mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. MATH 290 F and MATH 290HF differ from other Mathematics Seminars in that the topics are exclusively devoted to theoretical mathematics and proofs in it. Topics assigned to honors students will emphasize additional rigor and depth, and honors students will participate in local, regional, and/or national competitions and conferences in mathematical science. Seminar courses in mathematics can be taken in any order. (Degree Credit) (CSU) (UC Review required)

MATH 291 F Applied Mathematics Seminar 2 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

36 hours lecture per term. This course is structured in order to engage students in applied mathematics topics such as numerical analysis, dynamical systems, cosmology, finance, mathematical biology, inverse problems, as well as mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. Historically, covered topics are new each time the course is offered and taught topics are never repeated, to ensure currency. (Degree Credit) (CSU) (UC Review required)

MATH 291HF Honors Applied Mathematics Seminar 2 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

36 hours lecture per term. This course is an enriched approach designed for honors students. This course will engage students in applied mathematics topics such as numerical analysis, dynamical systems, cosmology, finance, mathematical biology, inverse problems, as well as mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. (Degree Credit) (CSU) (UC Review required)

MATH 295 F General Mathematics Seminar 2 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

36 hours lecture per term. This course is structured in order to engage students in a diverse number of dynamical mathematical subjects, including cutting-edge unsolved problems, abstract, interdisciplinary, computational, and experimental mathematics, mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. Topics are of varying rigor and depth, depending on progress in the field and the abilities of the participants. (Degree Credit) (CSU) (UC Review required)

MATH 295HF Honors General Mathematics Seminar 2 Units

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

36 hours lecture per term. Math seminars are structured in order to engage students in dynamical mathematical subjects, including cutting-edge unsolved problems, abstract, interdisciplinary, computational, and experimental mathematics, mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. An enriched approach in this course is designed for students in the Honors program. Topics are of varying rigor and depth, depending on progress in the field and the abilities of the participants. (Degree Credit) (CSU) (UC review required)

MATH 299 F Mathematics Independent Study 1 Unit

Prerequisite(s): Intermediate Algebra or the equivalent, with a grade of C or better, or by assessment through the college's multiple measures placement processes

54 hours independent study per term. This course is for able students who wish to increase their knowledge of multiple areas of pure and/or applied mathematics through individual study and small group conferences. (Degree Credit) (CSU) (UC review required)