Mathematics (MATH)

MATH 10 -  Mathematics for General Education  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture  
This course offers a historical study of elementary mathematics and discussion of philosophic differences of ancient and modern mathematics. Topics from modern mathematics, such as set theory, symbolic logic, modular systems, and the axioms of various number systems are covered. Portions of instruction may be offered online; may also be offered fully online.  
Prerequisite(s): Placement based on multiple measures; or Intermediate Algebra or higher  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

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MATH 12 -  Number Systems  (4 units)  
Letter Grade (LG) or Pass/No Pass (P/NP) •  Total hours: 68 hours lecture  
This course focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts, and applications of logical reasoning. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 120]  
Prerequisite(s): Completion of two years of high school algebra and appropriate placement score or completion of course in Intermediate Algebra with a grade of C or better.  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

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MATH 13 -  Pre-Calculus  (5 units)  
Letter Grade (LG) Only •  Total hours: 85 hours lecture  
This course reviews polynomial, exponential, and logarithmic functions; trigonometric functions; theory of equations; binomial theorem; conic sections; inverse functions; and trigonometric equations. Additional topics from coordinate geometry and DeMoivre's Theorem are covered. Credit may be earned only once for: either MATH 13 or MATH 13A; either MATH 13 or MATH 13B; either MATH 13 or both MATH 13A and MATH 13B. Portions of instruction may be offered online; may also be offered fully online.  
Prerequisite(s): Placement based on multiple measures; or Intermediate Algebra or higher  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
UC Transfer Limits: All College Algebra and Pre-Calculus courses limited to a single course with a maximum of 5 semester / 7.5 quarter units.  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

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MATH 13A -  College Algebra for STEM  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture  
This is a college-level course in algebra for majors in science, technology, engineering, and mathematics and is designed, together with MATH 13B (Trigonometry), to prepare students for Calculus. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; and analytic geometry. Credit may be earned only once for either MATH 13 or MATH 13A. Portions of instruction may be offered online; may also be offered fully online.  
Prerequisite(s): Placement based on multiple measures; or Intermediate Algebra or higher   
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
UC Transfer Limits: All College Algebra and Pre-Calculus courses limited to a single course with a maximum of 5 semester/7.5 quarter units.  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

Catalog Program Pages Referencing MATH 13A

MATH 13B -  Trigonometry  (3 units)  
Letter Grade (LG) Only •  Total hours: 51 hours lecture  
This course, together with MATH 13A (College Algebra for STEM), is designed to prepare students for Calculus. It covers 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, polar coordinates, and an introduction to vectors. Credit may be earned only once for either MATH 13 or MATH 13B. Portions of instruction may be offered online; may also be offered fully online.  
Prerequisite(s): Placement based on multiple measures; or Intermediate algebra or higher or eligibility for transfer-level mathematics  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

Catalog Program Pages Referencing MATH 13B

MATH 16 -  Elementary Statistics  (4 units)  
Letter Grade (LG) or Pass/No Pass (P/NP) •  Total hours: 68 hours lecture  
This course covers the use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square and t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of the statistical findings. It covers applications using data from disciplines including business, social sciences, psychology, life science, health science, and education. This course also contains a computer component. Calculations are done with the aid of a desktop computer or with a handheld calculator/computer having built-in functions. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 110]  
Prerequisite(s): Placement based on multiple measures; or Intermediate Algebra or higher  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
UC Transfer Limits: MATH 16, PSYC 19, SOCI 19 combined: maximum credit, 1 course  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

Catalog Program Pages Referencing MATH 16

MATH 17 -  Finite Math  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture  
This course is suitable for students of mathematics, philosophy, biological and behavioral sciences, business, and economics. Topics include selections from symbolic logic, sets, linear programming, probability theory, statistics, and game theory, with selected applications from business, social sciences, biological science, and behavioral science. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 130]  
Prerequisite(s): Placement based on multiple measures; or Intermediate Algebra or higher  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

Catalog Program Pages Referencing MATH 17

MATH 18 -  Calculus and Analytic Geometry for Biology/Soc Sci/Business  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture  
This course covers polynomials, rational, exponential, and logarithmic functions; graphs, limits, derivatives, differentiation techniques, and applications of the derivative; integration and applications of the integral; functions of several variables; and partial derivatives. The course is designed for students in biology, social sciences, business, and management. This course is not a substitute for MATH 20A. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 140]  
Prerequisite(s): Placement based on multiple measures; or Intermediate Algebra or higher  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
UC Transfer Limits: MATH 18, MATH 20A combined: maximum credit, 1 course  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

Catalog Program Pages Referencing MATH 18

MATH 20A -  Calculus with Analytic Geometry I  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture; 17 hours lab  
This is a first course in differential and integral calculus of a single variable: functions, limits and continuity, techniques and applications of differentiation and integration, and the Fundamental Theorem of Calculus. This course is primarily for science, technology, engineering, and math majors. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 210]  
Prerequisite(s): Placement based on multiple measures; or MATH 13; or MATH 13A and MATH 13B  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
UC Transfer Limits: MATH 18, MATH 20A combined: maximum credit, 1 course  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning; MPC A2 Communication and Analytical Thinking  

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MATH 20B -  Calculus with Analytic Geometry II  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture; 17 hours lab  
The second course in differential and integral calculus of a single variable: integration, techniques of integration, infinite sequences and series, polar and parametric equations, and applications of integration. Primarily for science, technology, engineering, and math majors. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 220]  
Prerequisite(s): MATH 20A  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning  

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MATH 20C -  Calculus of Several Variables  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture; 17 hours lab  
This course covers vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, and the divergence theorem. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 230]  
Prerequisite(s): MATH 20B  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning  

Catalog Program Pages Referencing MATH 20C

MATH 31 -  Linear Algebra  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture  
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. Investigates the properties of vectors in two and three dimensions, 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. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 250]  
Prerequisite(s): MATH 20A  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning  

Catalog Program Pages Referencing MATH 31

MATH 32 -  Differential Equations  (4 units)  
Letter Grade (LG) Only •  Total hours: 68 hours lecture  
The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. It introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms, and linear systems. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 240]  
Prerequisite(s): MATH 20B or higher  
Advisory: Completion of or concurrent enrollment in ENGL 1A or ENGL 1AE  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning  

Catalog Program Pages Referencing MATH 32

MATH 40 -  Discrete Mathematics  (3 units)  
Letter Grade (LG) Only •  Total hours: 51 hours lecture; 17 hours lab  
This course is an introduction to discrete mathematical systems. Topics include logic, recursion, induction, sets, equivalence and order relations, functions, introduction to trees, graph theory, proofs, circuit minimization techniques, network models, combinatorics, complexity, algebraic structures, coding machines. Portions of instruction may be offered online; may also be offered fully online. [C-ID MATH 160]  
Prerequisite(s): MATH 20A  
Credit transferable: Transfers to CSU & UC  
GE Credit: CSU B4 Mathematics/Quantitative Reasoning; IGETC 2A Mathematical Concepts/Quantitative Reasoning  

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MATH 313 -  Support for Pre-Calculus  (0.5 units)  
Pass/No Pass (P/NP) Only •  Total hours: 34 hours lab  
This course is intended for students concurrently enrolled in MATH 13, Pre-Calculus. Students review the needed core skills, competencies, and concepts. It is intended for majors in science, technology, engineering, and mathematics. Topics include a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, conic sections, functions including composition and inverses, an in-depth focus on quadratic functions, and a review of topics from geometry. This course is appropriate for students who are confident in their graphing and beginning algebra skills. Portions of instruction may be offered online; may also be offered fully online.  
Corequisite(s): MATH 13  

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MATH 316 -  Support for Elementary Statistics  (0.5 units)  
Pass/No Pass (P/NP) Only •  Total hours: 34 hours lab  
This course is for students concurrently enrolled in MATH 16. Students review algebraic, geometric, and arithmetic procedures and concepts that underlie statistical formulas and concepts, do hands-on activities that promote a deeper understanding of statistical ideas, and practice study skills that promote success in MATH 16. Portions of instruction may be offered online; may also be offered fully online.  
Corequisite(s): MATH 16  

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MATH 440 -  Supervised Tutoring: Mathematics  (0 units)  
Non Credit •  Total hours: 8.5-340 hours lab  
This course is designed to provide supervised tutoring for students concurrently enrolled in a basic skills mathematics course or any course that requires basic mathematics skills to complete the course work. Portions of instruction may be offered online; may also be offered fully online.  
Enrollment limitation(s): Instructor referral and/or approval required to participate.  
Repeatable: Noncredit  

Catalog Program Pages Referencing MATH 440