Course Finder

• Prerequisite: MATH 20.

*Maximum UC credit for MATH 2, MATH 4, and MATH 26 is 5 units.

This course is a preparatory course for students anticipating enrollment in MATH 28 (Calculus 1 for Business and Social Science). Topics include algebraic, exponential and logartihmic functions and their graphical representations, and using these functions to model applications in business and social science.

MATH 26 is not recommended as a terminal course to satisfy transfer requirements.

• Corequisite: MATH 26.

This course emphasizes a review of the core prerequisite skills, competencies, and concepts needed in MATH 26. It is intended for majors in business and social science concurrently enrolled in MATH 26, Functions and Modeling for Business and Social Science. Topics include a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations, linear equations and inequalities, simple polynomial equations, exponential and logarithmic expressions and equations, functions including composition and inverses, and an in-depth focus on applications. This course is appropriate for students who are proficient in their beginning algebra skills. Pass/No Pass only.

C-ID: MATH 140.

• Prerequisite: MATH 26.

*Maximum UC credit for MATH 7 and MATH 28 is one course.

This course is intended for students majoring in business or social sciences. It is a survey of differential and integral calculus with business and social science applications. Topics include limits, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance.

• Prerequisite: MATH 28.

*Maximum UC credit for MATH 8 and MATH 29 is one course.

Topics include techniques and applications of integration, improper integrals, functions of several variables, partial derivatives, method of least squares, maxima and minima of functions of several variables with and without constraints, methods of LaGrange Multipliers, double integrals and their application, elementary differential equations with applications, probability and calculus.

• Corequisite: MATH 2.

A review of the core prerequisite skills, competencies, and concepts needed in precalculus. Intended for students who are concurrently enrolled in MATH 2, Precalculus. Topics include concepts from elementary algebra, geometry, and intermediate algebra that are needed to understand the basics of college-level precalculus. Emphasis is placed on real and complex numbers; fundamental operations on algebraic expressions and functions; algebraic factoring and simplification; introduction to functions, equations and graphs; circles and parabolas; properties of geometric figures, similarity, and special right triangles. Pass/No Pass only.

• Prerequisite: MATH 20 and MATH 32.
• Advisory: MATH 4.

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). MATH 3 in combination with MATH 4 (College Algebra for STEM Majors) serves as a prerequisite for MATH 7 (Calculus 1). The course includes a study of the properties and graphs of trigonometric and inverse trigonometric functions, trigonometric identities, solutions of triangles, trigonometric equations, parametric equations, polar coordinates and polar equations, the algebra of vectors in two and three dimensions and topics from analytic geometry and applications.

• Prerequisite: MATH 84 or MATH 85.

Topics include: Arithmetic operations with real numbers, polynomials, rational expressions, and radicals; factoring polynomials; linear equations and inequalities in one and two variables; systems of linear equations and inequalities in two variables; application problems; equations with rational expressions; equations with radicals; introduction to quadratic equations in one variable.

This course is equivalent to one year high school algebra. Students enrolled in this course are required to spend 16 documented supplemental learning hours outside of class during the semester.

• Prerequisite: MATH 31 or MATH 49.

This is an introductory course in geometry whose goal is to increase the mathematical maturity and reasoning skills of students. Topics include elementary logical reasoning, properties of geometric figures, congruence, similarity, and special right triangles. Formal proof is introduced and used within the course.

• Corequisite: MATH 3.

A review of the core prerequisite skills, competencies, and concepts needed in trigonometry. Intended for students who are concurrently enrolled in MATH 3, Trigonometry with Applications. Topics include concepts from elementary and intermediate algebra and analytic geometry that are needed to understand the basics of trigonometry. Emphasis is placed on studying angles and their properties; geometric figures including circles and triangles; factoring and simplifying algebraic expressions; equations and graphs of circles; introduction to functions; fundamental operations on algebraic expressions and functions. Pass/No Pass only.

• Prerequisite: MATH 20.

*Maximum UC credit for MATH 2, MATH 4, and MATH 26 is 5 units.

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). MATH 4 in combination with MATH 3 (Trigonometry with applications) serves as a prerequisite for MATH 7 (Calculus 1). 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, mathematical induction, polynomial and rational functions, exponential and logarithmic functions, analytic geometry and conic sections, and geometric and arithmetic sequences and series.

• Prerequisite: MATH 20.

This course is designed for pre-service elementary school teachers. The course examines several content areas: numeration systems (historical development of numeration system, Hindu-Arabic numeration system, and place value systems); integers (structure, basic properties and computational algorithms); basic number theory (divisibility, primes and composites, prime factorization, Fundamental Theorem of Arithmetic, greatest common divisor, least common multiple); rational numbers (structure and properties, ratio and proportions); real numbers (structure and basic properties, arithmetic operations, rational and irrational numbers, decimal representation, number line representation); problem solving (patterns, connections, modeling, reasoning and representations, strategies, inductive and deductive reasoning); and national and state curriculum standards for elementary school math including Common Core State Standards.

• Prerequisite: MATH 84 or MATH 85.

This is an accelerated course covering the topics of Beginning and Intermediate algebra. Specific topics include arithmetic operations with real numbers, change of units and percents, polynomials, rational expressions, and radicals; linear equations and inequalities; systems of linear equations and inequalities; application problems; equations with rational expressions; equations with radicals; linear, quadratic, exponential and logarithmic functions and equations; factoring; drawing and interpreting graphs; sequences and series. The emphasis is on setting up and solving applications of the algebraic material.

• Corequisite: MATH 4.

A review of the core prerequisite skills, competencies, and concepts needed in College Algebra. Intended for students who are concurrently enrolled in MATH 4, College Algebra for STEM Majors. Topics include concepts from elementary and intermediate algebra and analytic geometry that are needed to understand the basics of college-level algebra. Emphasis is placed on real and complex numbers; fundamental operations on algebraic expressions and functions; factoring and simplifying algebraic expressions; introduction to functions, solving equations and systems of linear equations; graphs of elementary functions and their properties. Pass/No Pass only.

This course introduces algebra topics and the basic elements of exploratory data analysis needed for Introduction to Statistics (STAT C1000 — formerly MATH 54) and Finite Mathematics (MATH 21). Course topics include number and operation sense with regard to whole numbers, integers, rational numbers, mixed numbers, decimals, grouping symbols, order of operations, estimation and approximation, scientific notation, ratios, percents, proportions, formulas and algebraic expressions, linear equations and inequalities in one variable, analyzing and producing data, sample statistics and graphs, functions, systems of linear equations, and probability.

MATH 50 is designed for students who are only required to complete Introduction to Statistics (STAT C1000 — formerly MATH 54) or Finite Mathematics (MATH 21). Students who plan to take a non-math course which lists MATH 20 or MATH 31 as a pre-requisite should take those courses unless otherwise advised by the department offering the non-math course. This course is not intended as a preparation for precalculus or calculus. Students planning to take Precalculus (MATH 2) must complete Intermediate Algebra (MATH 20).

• Corequisite: STAT C1000 (formerly MATH 54).

A review of the core prerequisite skills, competencies, and concepts needed in statistics. Intended for students who are concurrently enrolled in STAT C1000 Introduction to Statistics (formerly MATH 54). Topics include: concepts from arithmetic, pre-algebra, elementary and intermediate algebra that are needed to understand the basics of college-level statistics. Concepts are taught through the context of descriptive data analysis. Pass/No Pass only.

• Prerequisite: MATH 20.

This course provides a comprehensive introduction to mathematical principles of quantitative reasoning with practical applications. Topics covered include mathematics of finance, proportional reasoning, validity studies within logic and set theory, probability, and statistics. Additional topics could include applications of Euclidean geometry, applications of math to the arts, or math in politics. The course focuses on the process of analyzing real-world situations, identifying the necessary mathematical foundations, problem-solving strategies, applying learned concepts and quantitative methods, and communicating results. Students will solve and present application problems and engage in mathematical discourse, exchanging ideas, providing feedback, and constructing mathematical arguments.

• Corequisite: MATH 55.

This course provides a review of the core prerequisite skills, competencies, and concepts needed for students who are concurrently enrolled in Quantitative Reasoning. Topics include theory, procedures, and practices from pre-algebra, beginning algebra, and intermediate algebra. Particular attention is paid to solving and graphing equations and problem-solving and modeling strategies, translating and interpreting language for the purpose of formulating mathematical phrases and statements, simplifying arithmetic and algebraic expressions, and learning to use the appropriate technology (typically scientific calculators) needed in MATH 55. Pass/No Pass only.

• Prerequisite: MATH 20.

This course is designed for STEM majors and provides a modern treatment of mathematical concepts and methods needed for success in the calculus sequence and beyond. Topics include the theory of approximation, the theory of functions, algebro-geometric analysis, polynomials, rational functions and asymptotic analysis, exponential and logarithmic functions, trigonometry, and the fundamentals of series. Students will learn about the relevance, utility, and limitations of modern computational resources for mathematical analysis while exploring the topics above. The techniques and practices investigated in the course will be motivated by contemporary interpretations and implementations of mathematical theory in STEM fields.

• Corequisite: MATH 6.

A review of the core prerequisite skills, competencies, and concepts needed for success in MATH 6. Intended for students who are concurrently enrolled in MATH 6 Modern Mathematical Methods for STEM Majors. Topics include concepts from elementary algebra, geometry, and intermediate algebra that are needed to understand the more advanced concepts explored in MATH 6, as well as learning skills like time management and test preparation. Emphasis is placed on number sense and numeracy; fractions, decimals, and scientific notation; fundamental operations on numbers, algebraic expressions, and functions; algebraic manipulation; geometric figures such as circles, parabolas, and special right triangles. This corequisite course is Pass/No Pass only.

C-ID: MATH 211.

• Prerequisite: MATH 2 or (MATH 3 and MATH 4).

*Maximum UC credit for MATH 7 and MATH 28 is one course.

This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications.