Mathematics (MATH) Courses
MATH 27 Self-Paced Basic Skills Mathematics
- Units:0.5 - 2
- Hours:27 - 108 hours LAB
- Prerequisite:None.
- Catalog Date:August 1, 2022
This is a self-paced course in basic mathematics skills including the basic operations of addition, subtraction, multiplication, and division applied to the whole numbers, fractions, and decimals. This course is graded Pass/No Pass. Credit is earned in one-half unit increments and is dependent on progress in the course and class participation. This is an open-entry/open-exit course which may be taken for a maximum of two units. This course does not fulfill the learning skills requirement for graduation.
MATH 28 Basic Skills Mathematics
- Units:3
- Hours:54 hours LEC; 18 hours LAB
- Prerequisite:None.
- Catalog Date:August 1, 2022
This is a lecture course with lab time in basic mathematics skills including the basic operations of addition, subtraction, multiplication, and division applied to the whole numbers, fractions, and decimals. This course does not fulfill the learning skills requirement for graduation.
MATH 34 Pre-algebra
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 28 with a “C” or better, or completion of the MATH 27 curriculum (80% or higher on all six chapter tests), or placement through the assessment process.
- Catalog Date:August 1, 2022
The emphasis in this course will be on skills necessary for success in elementary algebra. Course content will include review of fundamentals of arithmetic including whole numbers, common fractions, decimal fractions, and percentages. Other topics include order of operations, signed numbers, complex fractions, exponents, and scientific notation. There will be an introduction to the algebra of polynomials and/or an introduction to graphing lines, as time permits.
MATH 100 Elementary Algebra
- Units:5
- Hours:90 hours LEC
- Prerequisite:MATH 34 with a grade of "C" or better, or placement through the assessment process.
- Catalog Date:August 1, 2022
This course includes the fundamental concepts and operations of algebra with problem solving skills emphasized throughout. Topics include properties of real numbers, linear equations and inequalities, integer exponents, polynomials, polynomial factorization, rational expressions and equations, radical expressions and equations, rational exponents, systems of linear equations and inequalities, the rectangular coordinate system, graphs and equations of lines, and quadratic equations.
MATH 103 Elementary Algebra, Part I
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 34 with a grade of "C" or better, or placement through the assessment process.
- Catalog Date:August 1, 2022
This course will cover the first half of the traditional MATH 100 course. Topics include: properties of real numbers, linear equations and inequalities, integer exponents, polynomials, systems of linear equations and inequalities, the rectangular coordinate system, graphs and equations of lines, and applications.
MATH 104 Elementary Algebra, Part II
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 103 with a grade of "C" or better
- Catalog Date:August 1, 2022
This course covers the second half of the traditional MATH 100 course. Topics include: polynomial factorization, rational expressions and equations, radical expressions and equations, rational exponents, quadratic equations, and applications.
MATH 109 Fundamentals of Algebra for Liberal Arts Mathematics and Statistics
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 34 with a grade of "C" or better, or placement through the assessment process.
- Catalog Date:August 1, 2022
This course consists of elements of beginning and intermediate algebra needed for STAT 300, MATH 300, or MATH 310. Topics include modeling using expressions, equations, functions, and graphs; polynomial inequalities. Note: This course is not intended for students pursuing business or STEM majors and who plan to take courses in science, computer information science, engineering, mathematics, physics, chemistry, business or economics.
MATH 110 Elementary Geometry
- Units:5
- Hours:90 hours LEC
- Prerequisite:MATH 100 or 104 with a grade of "C" or better, or placement through the assessment process.
- General Education:AA/AS Area II(b)
- Catalog Date:August 1, 2022
This course introduces Euclidean Geometry. Topics include sets, definitions, postulates, theorems, deductive and inductive reasoning, proof, parallel lines, triangles, polygons, congruence, similarity, constructions, the Pythagorean Theorem, right triangle trigonometry, circles, analytic geometry, and elementary solid geometry.
MATH 120 Intermediate Algebra
- Units:5
- Hours:90 hours LEC
- Prerequisite:MATH 100 or 104 with a grade of "C" or better, or placement through the assessment process.
- General Education:AA/AS Area II(b)
- Catalog Date:August 1, 2022
This course reviews and extends the concepts of elementary algebra, with problem solving skills emphasized throughout. Topics that are reviewed and extended include linear and quadratic equations, factoring polynomials, rational expressions, exponents, radicals, equations of lines, and systems of equations. New topics include graphs and their translations and reflections, functions, exponential and logarithmic functions, graphs of quadratic functions, conic sections, nonlinear systems of equations, polynomial, rational, and absolute value inequalities, sequences, series, and the Binomial Theorem.
MATH 123 Intermediate Algebra, Part I
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 100 or 104 with a grade of "C" or better, or placement through the assessment process.
- Catalog Date:August 1, 2022
This course will cover the first half of the traditional MATH 120 course. Topics include solving linear equations and inequalities, factoring of polynomials, rational expressions, exponents, radicals, solving equations containing rational and radical expressions, equations of lines, functions and absolute value equations and inequalities, and complex numbers.
MATH 124 Intermediate Algebra, Part II
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 123 with a grade of "C" or better
- General Education:AA/AS Area II(b)
- Catalog Date:August 1, 2022
This course will cover the second half of the traditional MATH 120 course. Topics include quadratic expressions, equations, inequalities and graphs, conic sections, linear and nonlinear systems of equations, composite and inverse functions, exponential and logarithmic functions, and sequences and series.
MATH 135 Prealgebra and Algebra for Statistics Part II
- Units:6
- Hours:108 hours LEC
- Prerequisite:MATH 100 or 103 with a grade of "C" or better, or placement through the assessment process.
- General Education:AA/AS Area II(b)
- Catalog Date:August 1, 2022
This is the second part of a two-course sequence preparing students for a course in Elementary Statistics. This course covers polynomial factoring, rational expressions and equations, radical expressions and equations, the algebra of functions, graphs of elementary functions, modelling with functions, exponential and logarithmic functions, systems of equations in three variables, solving quadratic equations, and summation notation. This course is only intended as preparation for STAT 300 and MATH 300.
MATH 140 Mathematics Competency
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 100 or 104 with a grade of "C" or better, or placement through the assessment process.
- General Education:AA/AS Area II(b)
- Catalog Date:August 1, 2022
This course introduces students to everyday uses of mathematics. Topics will include measurement systems, reasoning and logic, elections, inflation and other indexes, chance and risk, and finances. One or more modules of mathematical interest from career technical programs and contemporary careers including but not limited to nursing, occupational therapy, flight technology, and cosmetology will be integrated into the course.
MATH 170 Algebra Review for Calculus
- Units:2
- Hours:36 hours LEC
- Prerequisite:None.
- Catalog Date:August 1, 2022
This is a review of college preparatory high school algebra. It includes the necessary skills for success in higher mathematics courses including calculus. Topics include real numbers, linear equations and inequalities, properties of lines, absolute values, polynomials and factoring, rational expressions, exponents, quadratic equations, and functions.
MATH 295 Independent Studies in Mathematics
- Units:1 - 3
- Hours:54 - 162 hours LAB
- Prerequisite:None.
- Catalog Date:August 1, 2022
This is an independent studies course. The topics are to be arranged between the instructor and the student.
MATH 299 Experimental Offering in Mathematics
- Units:0.5 - 4
- Prerequisite:None.
- Catalog Date:August 1, 2022
This is the experimental courses description.
MATH 300 Introduction to Mathematical Ideas
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 109, 120, or 124 with a grade of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- Catalog Date:August 1, 2022
This course is intended to help the non-Mathematics major student relate to the spirit of mathematics through a study of some engaging ideas of mathematics. Several specific topics will be chosen from: numeration systems, logic, sets, number theory, algebraic modeling, geometry, combinatorics, probability, statistics, consumer mathematics, graph theory, voting and apportionment, matrices, and perhaps others. This course is not recommended for students entering elementary school teaching or for business administration majors.
MATH 310 Mathematical Discovery
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 110 and either MATH 109 or MATH 120 with grades of "C" or better or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4
- Catalog Date:August 1, 2022
This course is designed to introduce students to the spirit of mathematics by involving them in aspects of mathematical processes of exploration, conjecture, and proof. Students will examine mathematical patterns and relations, formulate conjectures, and prove their conjectures. Educational standards (e.g. Common Core) and issues are a focus throughout the content of the course. Areas of mathematics from which content may be derived include number theory, statistics, probability, geometry, and sequences and series. This course is recommended for students interested in a career in education.
MATH 333 Introduction to College Algebra
- Units:3
- Hours:54 hours LEC
- Prerequisite:Through the Los Rios Placement Process or High School Algebra 2 or Integrated Math 3 or Intermediate Algebra.
- Transferable:CSU
- General Education:AA/AS Area II(b)
- Catalog Date:August 1, 2022
This course is a transfer-level college algebra course for majors in the Liberal Arts or for BSTEM students needing to further their algebra skills before taking pre-calculus-level coursework. Topics include absolute value, polynomial, rational, radical, exponential, and logarithmic functions; solving equations involving these functions; graphing these functions using rigid and non-rigid transformations; solving linear and nonlinear inequalities; systems of equations; complex numbers; and inverse functions.
MATH 340 Calculus for Business and Economics
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 120 or 124 with a grade of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 140
- Catalog Date:August 1, 2022
The content of this course includes review of the logarithmic and exponential functions, intuitive introduction to limits, and development of the derivative and definite integral. Application of these concepts to economics and business will be emphasized.
MATH 342 Modern Business Mathematics
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 120 or 124 with a grade of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- Catalog Date:August 1, 2022
This course is designed around applications of mathematics in economic and business contexts. Specific topics will include functions and related business formulas, tables and graphs, finance (interest, annuities, and exponential models in economics), rates of change including applications and optimization, and linear programming.
MATH 355 Calculus for Biology and Medicine I
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 373 with a grade of "C" or better, or placement through the assessment process.
- Advisory:MATH 372 with a grade of "C" or better
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- Catalog Date:August 1, 2022
This course is an introduction to differential calculus and elementary differential equations via applications in biology and medicine. It covers limits, derivatives of polynomials, trigonometric and exponential functions, graphing, and applications of the derivative to biology and medicine. Topics include the Fundamental Theorem of Calculus and techniques of integration, including integral tables and numerical methods. This course does not meet the prerequisite for PHYS 410.
MATH 356 Calculus for Biology and Medicine II
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 355 with a grade of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- Catalog Date:August 1, 2022
This course is the continuation of MATH 355. It covers matrix algebra with eigenvalues and eigenvectors, systems of linear equations, functions of several variables, partial derivatives, systems of differential equations, probability, and applications to biology and medicine. This course does not meet the prerequisite for PHYS 410 or PHYS 420.
MATH 372 College Algebra for Calculus
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 120 or 124 with a grade of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- Catalog Date:August 1, 2022
This course provides a rigorous treatment of college-level algebra and its applications, with a particular focus on preparing students for the calculus sequence for Science, Technology, Engineering, and Mathematics (STEM) majors. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, graphs, and equations; systems of equations; the theory of polynomial equations; analytic geometry including conics; sequences and series; and mathematical induction. Emphasis is given to analytical reasoning and problem-solving. This course may be taken concurrently with MATH 373, Trigonometry for Calculus. Completion of both MATH 372 AND MATH 373 with grades of "C" or better meets the prerequisite for MATH 400, Calculus I.
MATH 373 Trigonometry for Calculus
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 120 or 124 with a grade of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 851
- Catalog Date:August 1, 2022
This course provides a rigorous treatment of trigonometry and its applications, with a particular focus on preparing students for the calculus sequence for Science, Technology, Engineering, and Mathematics (STEM) majors. Topics include right triangle trigonometry, unit circle trigonometry, graphs of trigonometric functions, proofs of trigonometric identities, solving trigonometric equations, applications of trigonometric functions (laws of sines and cosines), inverse trigonometric functions, the polar coordinate system, and vectors. Emphasis is given to analytical reasoning and problem-solving. This course may be taken concurrently with MATH 372, College-Algebra for Calculus. Completion of both MATH 372 AND MATH 373 with grades of "C" or better meets the prerequisite for MATH 400, Calculus I.
MATH 400 Calculus I
- Units:5
- Hours:90 hours LEC
- Prerequisite:MATH 372 and 373 with grades of "C" or better, or placement through the assessment process.
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 210
- Catalog Date:August 1, 2022
This course explores the basic concepts of analytic geometry, limits (including indeterminate forms), derivatives, and integrals. The topics covered will include graphs, derivatives, and integrals of algebraic, trigonometric, exponential, logarithmic, and hyperbolic functions. Standard proofs will be covered, such as delta-epsilon proofs and proofs of some theorems. Applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, and optimization.
MATH 401 Calculus II
- Units:5
- Hours:90 hours LEC
- Prerequisite:MATH 400 with a grade of "C" or better
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 220
- Catalog Date:August 1, 2022
This course is a continuation of MATH 400. Topics covered will include techniques of integration, numerical integration, improper integrals, infinite series, parametric equations, polar equations, and possibly conic sections. Many applications will be covered including those involving areas between planar curves, volumes of revolution, work, moments, center of mass, average value, arc length, and surface area.
MATH 402 Calculus III
- Units:5
- Hours:90 hours LEC
- Prerequisite:MATH 401 with a grade of "C" or better
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 230
- Catalog Date:August 1, 2022
This course extends the concepts of limits, derivatives, and integrals to vector-valued functions and functions of more than one variable. The topics covered include three-dimensional analytic geometry and vectors, partial derivatives, multiple integrals, line integrals, surface integrals, and the theorems of Green, Gauss (Divergence), and Stokes. Many applications of calculus are included.
MATH 410 Introduction to Linear Algebra
- Units:3
- Hours:54 hours LEC
- Prerequisite:MATH 401 with a grade of "C" or better
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 250
- Catalog Date:August 1, 2022
This course is an introductory course in linear algebra. Topics include matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvectors, and applications. Proofs of elementary theorems of basic linear algebra will be covered. The course is intended for majors in mathematics, engineering, science, and related fields.
MATH 420 Differential Equations
- Units:4
- Hours:72 hours LEC
- Prerequisite:MATH 401 with a grade of "C" or better
- Advisory:MATH 410 with a grade of "C" or better; strongly recommended
- Transferable:CSU; UC
- General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
- C-ID:C-ID MATH 240
- Catalog Date:August 1, 2022
This course will cover the theory and applications of solutions to ordinary differential equations and systems of ordinary differential equations. Students will be introduced to various topics useful in the solution of these differential equations including power series, Laplace transforms, matrices, eigenvalues and eigenvectors, and numerical methods.
MATH 494 Topics in Mathematics
- Units:0.5 - 4
- Hours:9 - 72 hours LEC
- Prerequisite:None.
- Transferable:CSU
- Catalog Date:August 1, 2022
This course provides the ability to take a course in mathematics that covers topics that are not part of the regular curriculum. This course may only be taken once, even if course offerings cover different topics. UC transfer credit will be awarded only after the course has been evaluated by the enrolling UC campus. The units completed for this course cannot be counted towards the minimum 60 units required for UC admissions.
MATH 495 Independent Studies in Mathematics
- Units:1 - 3
- Hours:54 - 162 hours LAB
- Prerequisite:None.
- Transferable:CSU
- Catalog Date:August 1, 2022
An independent studies project involves an individual student or a small group of students in study, research, or activities beyond the regularly offered mathematics courses. UC transfer credit will be awarded only after the course has been evaluated by the enrolling UC campus. The units completed for this course cannot be counted towards the minimum 60 units required for UC admissions.
MATH 499 Experimental Offering in Mathematics
- Units:0.5 - 4
- Prerequisite:None.
- Transferable:CSU; UC
- Catalog Date:August 1, 2022
This is the experimental courses description.