Course Descriptions - Mathematics

MATH R005 Beginning Intermediate Algebra for Statistics and Liberal Arts - 6 Units
Hours: 6 lecture weekly
This is a course in algebra designed to meet the intermediate algebra competencies for an A.A. or A.S. degree and to expose students to concepts and applications faced in statistics and liberal arts. Course is offered Pass/No Pass (P/NP) at student’s option. Applies to Associate Degree.
Transfer credit: none
OC GE: D2
CSU GE-Breadth: none
IGETC: none

MATH R015 Beginning and Intermediate Algebra - 6 Units
Hours: 6 lecture weekly
This is a course in algebra for students intending to continue on towards Calculus. Emphasis is on applications of mathematics to science and logical problems. Students will learn to analyze and interpret problems while developing inductive and deductive logic skills to apply to verbal and quantitative problems. The topics include simplifying rational expressions, solving rational equations, solving problems and applications involving systems of three variables, graphing systems of inequalities in two variables, simplifying expressions involving positive, negative, and rational exponents, performing mathematical operations on radical expressions and solving radical equations, solving quadratic equations and their applications using multiple methods, graphing and evaluating elementary functions, using definitions, domain and range, algebra and composition of functions on related applications, solving elementary exponential and logarithmic equations and related applications. Course is offered Pass/No Pass (P/NP) at student’s option. Applies to Associate Degree.
Transfer credit: none
OC GE: D2
CSU GE-Breadth: none
IGETC: none

MATH R098 Short Courses in Mathematics - .5 - 5 Units
Hours: .5 - 5 lecture, 1.5 - 15 lab weekly
Short Courses in Mathematics provides courses in selected areas of mathematics to meet specific needs of the College or the community when those needs are not met by regular course offerings. The length of the course will determine the unit credit. Field trips may be required. Course is offered Pass/No Pass (P/NP) at student’s option. Degree applicability varies by topic.
Transfer credit: none

MATH R055S Algebra Support for MATH R105 - 2 Units
Hours: 2 lecture weekly
Prerequisites: Placement as determined by the college’s multiple measures assessment process
Corequisites: MATH R105
This corequisite support course is to be taken concurrently with MATH R105, Introductory Statistics. Emphasis is placed on foundational skills which are necessary for a student to
successfully complete MATH R105. This course offers support for Introductory Statistic topics along with study skills development. Course is offered on a Pass/No Pass (P/NP) basis only. Not Degree Applicable.
Transfer credit: none

MATH R065S Algebra Support for MATH R115 - 2 Units
Hours: 2 lecture weekly
Prerequisites: Placement as determined by the college’s multiple measures assessment process
Corequisites: MATH R115
This corequisite support course is to be taken concurrently with MATH R115, College Algebra. Emphasis is placed on foundational skills which are necessary for a student to successfully complete MATH R115. This course offers support for College Algebra topics along with study skills development. Course is offered on a Pass/No Pass (P/NP) basis only. Not Degree Applicable.
Transfer credit: none

MATH R066S Algebra Support for MATH R106 - 2 Units
Hours: 2 lecture weekly
Prerequisites: Placement as determined by the college’s multiple measures assessment process
Corequisites: MATH R106
This corequisite support course is to be taken concurrently with MATH R106, Business Calculus. Emphasis is placed on foundational skills which are necessary for a student to successfully complete Math R106. This course offers support for Business Calculus topics along with study skills development. Course is offered on a Pass/No Pass (P/NP) basis only. Not Degree Applicable.
Transfer credit: none

MATH R101 Mathematics for the Liberal Arts Major - 3 Units
Hours: 3 lecture weekly
Prerequisites: MATH R005 or MATH R014 or MATH R014B or MATH R015 or MATH R032 or MATH R033 or placement as determined by the college’s multiple measures assessment process
C-ID: MATH 150
This is an advanced course in algebra for majors in the liberal arts. This course focuses on the study of polynomial, rational, radical, exponential, absolute value, logarithmic functions, systems of equations, theory of polynomial equations, and analytic geometry. This course includes applications to many areas within liberal arts fields. Applies to Associate Degree.
Transfer credit: CSU, UC
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A

MATH R102 Mathematics for Elementary School Teachers - 4 Units
Hours: 3 lecture, 3 lab weekly
Prerequisites: MATH R005 or MATH R014 or MATH R014B or MATH R015 or MATH R032 or MATH R033 or placement as determined by the college’s multiple measures assessment process
C-ID: MATH 120
This course is designed for candidates pursuing an elementary teaching credential. It focuses on the development of quantitative reasoning skills through in-depth, integrated, hands-on explorations of topics in mathematics, including the real number system and subsystems, patterns and sequences, basic set theory, logic, and mathematical induction. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. Applies to Associate Degree.
Transfer credit: CSU, UC
OC GE: D2
CSU GE-Breadth: B4
IGETC: none

MATH R105 Introductory Statistics -  4 Units
Hours: 4 lecture weekly
Prerequisites: MATH R005 or MATH R014 or MATH R014B or MATH R015 or MATH R032 or MATH R033 or placement as determined by the college’s multiple measures assessment process
C-ID: MATH 110
This course covers descriptive and inferential statistics for students of social sciences, science, education, business, and engineering. Included are discussions of graphing and interpreting graphs, measures of the center and variation, probability, normal curves, binomial tests, hypothesis testing, correlation and regression, chi-square tests, t-tests, and analysis of variance. This course uses technology to analyze data sets. Credit will not be awarded for both the honors and regular versions of a course. Credit will be awarded only for the first course completed with a grade of “C” or better or “P.” Applies to Associate Degree.
Transfer credit: CSU, UC*
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A

*UC Credit Limitation: R105/H, PSY R103, SOC R125 combined - max credit: one course

MATH R105H Honors: Introductory Statistics - 4 Units
Hours: 4 lecture weekly
Prerequisites: MATH R005 or MATH R014 or MATH R014B or MATH R015 or MATH R032 or MATH R033 or placement as determined by the college’s multiple measures assessment process
C-ID: MATH 110
This course covers descriptive and inferential statistics for students of social sciences, science, education, business, and engineering. Included are discussions of graphing and interpreting graphs, measures of the center and variation, probability, normal curves, binomial tests, hypothesis testing, correlation and regression, chi-square tests, t-tests, and analysis of variance. This course uses technology to analyze data sets. Honors work challenges students to be more analytical and creative through expanded assignments, real-world applications, and enrichment opportunities. Credit will not be awarded for both the honors and regular versions of a course. Credit will be awarded only for the first course completed with a grade of “C” or better or “P.” Applies to Associate Degree.
Transfer credit: CSU, UC*
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A
*UC Credit Limitation: R105/H, PSY R103, SOC R125 combined - max credit: one course

MATH R106 Business Calculus - 4 Units
Hours: 4 lecture weekly
Prerequisites: MATH R014 or MATH R014B or MATH R015 or MATH R033 or placement as determined by the college’s multiple measures assessment process
Advisories: MATH R115
C-ID: MATH 140
This course presents a study of the calculus techniques with an emphasis on the applications of concepts to business and management related problems. Further, the course addresses the application of derivatives and integrals of functions including polynomial, rational, exponential and logarithmic functions. Applies to Associate Degree.
Transfer credit: CSU, UC*
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A
*UC Credit Limitation: R106 & R120 combined - max credit: one course

MATH R115 College Algebra - 4 Units
Hours: 4 lecture weekly
Prerequisites: MATH R014 or MATH R014B or MATH R015 or MATH R033 or placement as determined by the college’s multiple measures assessment process
C-ID: MATH 151
An advanced course in algebra, this course focuses on the study of functions and their graphs. Students will analyze and graph functions (absolute value, radical, polynomial, rational, exponential, and logarithmic). Topics also include inequalities, conic sections, systems of equations and inequalities, matrices, sequences, and series. This course includes applications to many areas including business and sciences. Applies to Associate
Degree.
Transfer credit: CSU, UC*
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A
*UC Credit Limitation: R115 & R117 combined - max credit: 5 semester units

MATH R116 College Trigonometry - 3 Units
Hours: 3 lecture weekly
Prerequisites: MATH R014 or MATH R014B or MATH R015 or MATH R033 or placement as determined by the college’s multiple measures assessment process
Advisories: MATH R115
C-ID: MATH 851
This course is designed to give Calculus-bound students a solid foundation in trigonometric functions. Emphasis will be placed on 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 introduction to vectors. Applies to Associate Degree.
Transfer credit: CSU
OC GE: D2
CSU GE-Breadth: B4
IGETC: none

MATH R117 Pre-Calculus and Trigonometry - 6 Units
Hours: 6 lecture weekly
Prerequisites: MATH R014 or MATH R014B or MATH R015 or MATH R033 or placement as determined by the college’s multiple measures assessment process
C-ID: In progress
This course gives the calculus-bound student a solid foundation in pre-calculus algebra and analytic trigonometry, with emphasis on function concepts and graphing. Topics include equations and inequalities, analytic geometry of lines and conic sections, properties of functions, techniques of graphing, elementary functions (linear, quadratic, rational, exponential, logarithmic, and trigonometric) and inverse functions, trigonometric identities and equations, polar graphing, optimization applications, systems of equations, theory of equations, mathematical induction, binomial theorem, sequences, and series. Course is offered Pass/No Pass (P/NP) at student’s option. Applies to Associate Degree.
Transfer credit: CSU, UC*
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A
*UC Credit Limitation: R115 & R117 combined - max credit: 5 semester units

MATH R120 Calculus with Analytic Geometry I - 5 Units
Hours: 5 lecture weekly
Prerequisites: MATH R115 and MATH R116 or MATH R117 or placement as determined by the college’s multiple measures assessment process
C-ID: MATH 210
This is a first course in differential and integral calculus of a single variable. Topics include functions; limits and continuity; techniques and applications of differentiation and integration; and the Fundamental Theorem of Calculus. Applies to Associate Degree.
Transfer credit: CSU, UC*
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A
*UC Credit Limitation: R106 & R120 combined - max credit: one course

MATH R121 Calculus with Analytic Geometry II - 5 Units
Hours: 5 lecture weekly
Prerequisites: MATH R120
C-ID: MATH 220 & MATH 900S (MATH R120 + MATH R121)
This is the second course in the differential and integral calculus of a single variable series. Topics include integration; techniques of integration; infinite sequences and series; polar and parametric equations; and applications of integration. Applies to Associate Degree. Transfer credit: CSU, UC
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A

MATH R122 Calculus with Analytic Geometry III - 5 Units
Hours: 5 lecture weekly
Prerequisites: MATH R121
C-ID: MATH 230 & MATH 900S (MATH R120 + MATH R121)
As the third semester course in the calculus sequence, this course introduces the calculus of several variables and solid analytic geometry. It includes vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stoke’s Theorem, and the divergence theorem. Applies to Associate Degree.
Transfer credit: CSU, UC
OC GE: D2
CSU GE-Breadth: B4
IGETC: 2A

MATH R134 Linear Algebra - 3 Units
Hours: 3 lecture weekly
Prerequisites: MATH R121
C-ID: MATH 250 & MATH 910S (MATH R134 + MATH R143)
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. Students will investigate 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. Applies to Associate Degree.
Transfer credit: CSU, UC
OC GE: D2
CSU GE-Breadth: B4 (Limitation on enrollment see UC TCA)
IGETC: 2A

MATH R148 Programming and Problem-Solving in MATLAB - 3 Units
Hours: 2 lecture, 3 lab weekly
Prerequisites: MATH R120
C-ID: ENGR 220
This course utilizes the MATLAB environment to provide students with a working knowledge of computer-based problem-solving methods relevant to science and engineering. It introduces the fundamentals of procedural and object-oriented programming, numerical analysis, and data structures. Examples and assignments in the course are drawn from practical applications in engineering, physics, and mathematics. (Same as ENGR R148.) Applies to Associate Degree.
Transfer credit: CSU, UC

MATH R198 Advanced Short Courses in Mathematics - .5 - 3 Units
Hours: .5 - 3 lecture weekly
Prerequisites: MATH R014 or MATH R104B
Advanced Short Courses in Mathematics provides courses in selected areas of mathematics to meet specific needs of the college or the community when those needs are not met by regular course offerings. The length of the course will determine the unit credit. Field trips may be required. Course is offered Pass/ No Pass (P/NP) at student’s option. Applies to Associate Degree.
Transfer credit: CSU

MATH R199 Directed Studies in Mathematics - 1 - 3 Units
Hours: 1 - 3 lecture weekly
Prerequisites: MATH R014 or MATH R033
This transfer-level course is designed for students interested in furthering their knowledge on an independent study basis. Topics will vary, depending on the individually designed plan of study and project(s), including a weekly consultation with the instructor. Field trips may be required. Course is offered Pass/ No Pass (P/NP) at student’s option. Applies to Associate Degree.
Transfer credit: CSU