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course descriptions ## MATH-111 - Elementary Algebra | |||||||||||||||||||

This is a five-unit course in elementary algebra. Students will cover topics including operations on real numbers and algebraic expressions, solving linear equations and inequalities, algebraic methods for solving application problems, graphing linear equations and inequalities, solving systems of linear equations, laws of exponents and operations on polynomials, factoring polynomials and solving quadratic equations by factoring, and operations on rational expressions and solving rational equations. | |||||||||||||||||||

Units: 5 | |||||||||||||||||||

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | O Grading: | |||||||||||||||||||

Prerequisite: 3 units of MATH 310 or MATH 311, with CR or placement based on math assessment. | |||||||||||||||||||

Advisory Level — Read: 3 | Write: 3 | Math: 0 | |||||||||||||||||||

Transfer Status: None | Degree Applicable: NAA |

## MATH-013 - Intermediate Algebra |

This course continues the Algebra sequence and is a prerequisite to college level math courses. Students will review the first course in algebra and explore further the real number system, properties of algebraic systems, absolute value in equations and inequalities, complex numbers, properties of rational exponents and logarithms, roots and radicals, functions, and inverse functions. Content may include determinants, Cramer's rule, matrices, simultaneous solutions of sets of equations, sequences and series, or conic sections. |

Units: 5 |

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | O Grading: |

Prerequisite: MATH 111 or MATH 011A or MATH 011R or MATH 011S; all with C or better, or placement based on assessment. |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: None | Degree Applicable: AS |

## MATH-014 - Geometry |

The course involves the study of plane geometric figures and relationships. Students will study logical proofs, constructions, and numerical calculations. Additional topics in solid geometry and analytic geometry may be covered. This course is highly recommended for anyone who has not had or wishes to review high school geometry. This course is a pre-requisite to Precalculus Algebra and Mathematics for Elementary Education. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | O
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 011A or MATH 011R or MATH 011S or MATH 111; all with C or better or placement based on assessment |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: None | Degree Applicable: AS |

## MATH-021 - Precalculus Algebra |

This course is designed to prepare students for the level of algebra required in calculus. Topics will include basic algebraic concepts, complex numbers, equations and inequalities, graphs of functions, system of equations and inequalities, linear and quadratic functions, polynomial functions of higher degree, rational, exponential, and logarithmic functions, matrices and determinants. Students may not receive credit for both Math 021 and Math 025. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 013 with C or better, or equivalent |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-022 - Trigonometry |

This course in numerical and analytical trigonometry is designed to prepare students for the level of trigonometry and advanced algebraic concepts necessary for calculus. Topics will include trigonometric functions and equations, basic identities, graphing, inverse trigonometric functions, vectors, polar coordinates, and conic sections. Students may not receive credit for both MATH 022 and MATH 025. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 013 and MATH 014, both with C or better, or equivalent |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU | Degree Applicable: AA/AS |

## MATH-025 - Precalculus Algebra and Trigonometry |

This course is an intensive combined course in college algebra and trigonometry designed primarily as preparation for calculus. Students will study basic algebraic concepts, complex numbers, equations and inequalities, graphs of functions, system of equations and inequalities, linear and quadratic functions, polynomial functions of higher degree, rational, exponential, logarithmic, and trigonometric functions, inverse functions, basic identities, vectors, polar coordinates, analytic geometry, and mathematical induction. Students may take both MATH 021 and MATH 022 or take only MATH 025. |

Units: 5 |

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 013 and MATH 014, all with C or better or equivalent |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-051 - Mathematics for General Education |

This course is intended for non-science majors. It fulfills the general education requirements in Mathematics in the CSU system. Current topics in math will be discussed including number theory, consumer math, voting theory, graph theory, basic probability and statistics, and concepts in geometry such as symmetry, patterns and the golden rectangle. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L Grading: |

Prerequisite: MATH 013 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-052 - Math for Elementary Education |

This course covers arithmetic theory and operations necessary for the teaching of mathematical concepts to elementary school children. The course includes basic set theory and logic, number theory, numeration systems and their history, modular arithmetic, mathematical patterns and sequences, and the structure and properties of integers, real and rational numbers. Designed for prospective multiple subject credential candidates. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L Grading: |

Prerequisite: MATH 013 and MATH 014, both with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-061 - Finite Mathematics |

Finite Mathematics is the application of skills acquired in algebra to problems in economics, behavioral sciences and social science. Course content includes systems of linear equations and inequalities, matrices, linear programming, set theory, counting techniques, probability theory, and mathematics of finance. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 013 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-062 - Calculus for Business and Social Science |

This course presents single variable calculus and an introduction to multivariable calculus and their applications for business and social science students. The content includes functions and graphs, limits, continuity, differential and integral calculus of polynomials, rational functions, power functions, exponential functions, logarithmic and natural logarithmic functions, partial differentiation and applications of these topics in business and social science. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L Grading: |

Prerequisite: MATH 021 or MATH 025, with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-063 - Elementary Statistics |

This course is an introduction to the study of statistics. It does not require a knowledge of calculus but does assume a familiarity with the concepts of intermediate algebra. Students will learn methods of displaying data, descriptive statistics, basic concepts of probability theory, random variables, common statistical distributions, estimates and sample size, hypothesis testing, goodness-of-fit test, contingency table analysis, tests of two independent population parameters, and regression and correlation. Students will apply basic statistical concepts to data from education, business, social sciences, and natural sciences. To aid in the analysis of data, the use of technology will be required. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L Grading: |

Prerequisite: MATH 013 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-071 - Calculus I with Analytic Geometry |

This is the first course in calculus and analytic geometry for students majoring in mathematics, physical science, computer science, or engineering. It includes functions and graphs , topics in analytic geometry, the analysis of algebraic and trigonometric functions, limits, derivatives, integrals, and applications. |

Units: 5 |

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: (MATH 021 and MATH 022) or MATH 025, all with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-072 - Calculus II with Analytic Geometry |

This is a second course in calculus and analytic geometry for students majoring in mathematics, physical sciences, computer science, or engineering. Topics included are techniques of integration, applications of integration to areas, volumes, average values of functions, arc lengths, surfaces of revolution, problems in physics and engineering, use of parametric equations and polar equations to plot curves and compute derivatives, areas and arc length, a thorough study of infinite sequences, infinite series, and power series, and an introduction to differential equations. |

Units: 5 |

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 071 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-073 - Multivariable Calculus |

This is the third course in calculus for students majoring in mathematics, physical science, computer science, or engineering. In this course, the concepts of differential and integral calculus are extended to multivariable functions. The course content includes vectors, lines, planes, space curves, partial derivatives, multiple integrals, vector fields, line integrals, surface integrals, and vector calculus. |

Units: 5 |

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 072 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-078 - Differential Equations |

This is a course on ordinary differential equations and their applications. Methods are developed for solving first order equations, linear equations of arbitrary orders, and systems of linear differential equations. Students are introduced to Laplace transforms, as well as some theoretical aspects of differential equations such as existence and uniqueness of solutions, the phase plane, and stability of equilibrium solutions for autonomous equations. Note: Some UC campuses combine differential equations with linear algebra and give transfer credit for Math 78 only when it is transferred together with Math 79. Some CSU campuses offer differential equations as an upper division course and give content credit only. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 072 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-079 - Linear Algebra |

This course is designed for students majoring in math, statistics, physics, computer science or engineering. Content includes linear systems and matrices, linear transformations, determinants, vector spaces and their properties, orthogonality and inner product spaces, eigenvalues and eigenvectors, diagonalization and their applications. Note: Some UC campuses combine differential equations with linear algebra and give credit for Math 079 only when it is transferred with Math 078. Some CSU campuses offer linear algebra as an upper division course and will give content credit only for Math 079. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | L
Grading:| Credit by Exam: Yes |

Prerequisite: MATH 072 with C or better |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: CSU/UC | Degree Applicable: AA/AS |

## MATH-111 - Elementary Algebra |

Students will study topics including operations on real numbers and algebraic expressions, solving linear equations and inequalities, algebraic methods for solving application problems, graphing linear equations and inequalities, solving systems of linear equations, laws of exponents and operations on polynomials, factoring polynomials and solving quadratic equations by factoring, and operations on rational expressions and solving rational equations. |

Units: 5 |

Lecture Hours: 5
| Lab Hours: None | NoRepeatable: | K Grading: |

Prerequisite: 3 units of MATH 310 or MATH 311 with a P grade, or placement based on math assessment |

Advisory Level — Read: 3 | Write: 3 | Math: 0 |

Transfer Status: None | Degree Applicable: NAA |

## MATH-115 - Algebra for Statistics |

This course is designed for students who do not plan to major in math, science, computer science, or business. This is an accelerated course that prepares students for transfer-level Statistics. Topics include ratios, rates, and proportional reasoning, arithmetic reasoning using fractions, decimals and percents, evaluating expressions, analyzing algebraic forms to understand statistical measures, functions, use of linear and exponential functions to model bivariate data, use of logarithms, logarithmic scales and semi-log plots, graphical and numerical descriptive statistics for quantitative and categorical data. |

Units: 6 |

Lecture Hours: 6
| Lab Hours: None | NoRepeatable: | O Grading: |

Prerequisite: 3 units of Math 310 or Math 311 with P, or placement based on math assessment. |

Advisory Level — Read: 3 | Write: 3 | Math: 1 |

Transfer Status: None | Degree Applicable: NAA |

## MATH-300 - Basic Math Skills |

This course is offered to students who need basic math experience. This course includes a review of operations (addition, subtraction, multiplication, and division) on whole numbers, decimals and fractions. |

Units: 1 |

Lecture Hours: 0
| Lab Hours: 3 | NoRepeatable: | K Grading: |

Advisory Level — Read: 0 | Write: 0 | Math: 0 |

Transfer Status: None | Degree Applicable: NAA |

## MATH-310 - Basic Mathematics |

This course is designed to give students a basic background in mathematics. Topics include operations and application problems with whole numbers, fractions, decimals and percents, prime numbers, order of operations, units of measurement, perimeters, areas, signed numbers, variables, and simple equations. This class can be offered in a self-paced or lecture format. Repeatable to a maximum of 3 units. |

Units: 1 - 3 |

Lecture Hours: 1 - 3
| Lab Hours: None | NoRepeatable: | K Grading: |

Advisory Level — Read: 0 | Write: 0 | Math: 0 |

Transfer Status: None | Degree Applicable: NAA |

## MATH-311 - Pre-Algebra |

This course is designed for those students who have a foundation in arithmetic but need to further develop skills before taking Elementary Algebra. It is intended to serve as a bridge between arithmetic operations and elementary algebra. Topics include: integers, fractions, decimals, percents, exponents, scientific notation, order of operations, variables, algebraic expressions, equations, basic geometric shapes, and simple applications. |

Units: 3 |

Lecture Hours: 3
| Lab Hours: None | NoRepeatable: | K Grading: |

Prerequisite: 3 units of MATH 310 with P grade or placement based on math assessment. |

Advisory Level — Read: 2 | Write: 2 | Math: 0 |

Transfer Status: None | Degree Applicable: NAA |