Mathematics
38 courses · El Camino College · 2026-2027 Catalog
Classes: Fall 2026 · Winter 2027 · Spring 2027
MATH 37 Basic Accelerated Mathematics
- Units
- 5
- Hours
- 4.5 hours lecture, 3.5 hours lab
This accelerated course provides students who place below the elementary algebra level the opportunity to develop numeracy skills, strengthen mathematical reasoning skills, and complete elementary algebra in a single semester. There are three levels of mathematics in this course, taught in an integrated fashion: basic arithmetic skills fundamentals of algebra, with an emphasis on linear equations and the remaining topics found in a typical elementary algebra course. This course has multiple exit levels, based on a student's demonstrated competencies. Students engage in student success activities, including creating an education plan with a counselor, and participation in supplemental instruction.
MATH 40 Elementary Algebra
- Units
- 4
- Hours
- 4 hours lecture
- Advisory
- MATH 23 or MATH 37 or qualification by appropriate assessment
This course in elementary algebra includes the study of real number solutions and applications of linear equations, quadratic equations, linear inequalities, and systems of linear equations. Other topics include coordinate graphing or linear equations, factoring techniques, and simplification of rational and radical expressions.
MATH 60 Elementary Geometry
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- MATH 40 with a minimum grade of C in prerequisite or credit in MATH 37 or qualification by appropriate assessment
This is an introductory course in geometry. Topics include: properties of geometric figures including circles, triangles and other polygons, congruence and similarity, and elementary logical reasoning. Formal proof is introduced and used throughout the course.
MATH 67 General Education Algebra
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 23 with a minimum grade of C or MATH 37 with a grade of P at level A or B or qualification by appropriate assessment
Using data and real-world applications, students in this course reinforce their numeracy skills and learn the algebra, descriptive statistics, and other quantitative reasoning skills needed for statistics and some other transfer-level general education mathematics courses.
MATH 73 Intermediate Algebra for General Education
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 40 with a minimum grade of C or MATH 37 with a grade of P and evidence of having passed Levels A, B, and C or qualification by appropriate assessment
This intermediate algebra course is designed for students who are not considering further study in the sciences, technology, engineering, or mathematics. In the context of studying basic functions and their graphs, students strengthen and expand their algebra skills. Functions studied include linear, quadratic, polynomial, rational, and radical functions, as well as the absolute value function. Particular emphasis is placed on the operations on functions, solving equations and inequalities, as well as using functions to model real life situations. Other topics include solving systems of equations and applications.
MATH 80 Intermediate Algebra for Science, Technology, Engineering, and Mathematics
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 40 with a minimum grade of C or MATH 37 with a grade of P and evidence of having passed Levels A, B, and C or qualification by appropriate assessment
This intermediate algebra course is designed for students who are considering further study in the sciences, technology, engineering, or mathematics. In the context of studying a large library of basic functions and their graphs, students strengthen and expand their algebra skills. The library includes linear, quadratic, polynomial, rational, radical, exponential, and logarithmic functions, as well as inverse functions and the absolute value function. Particular emphasis is placed on the operations on functions, as well as solving equations and inequalities. Other topics include solving systems of equations, operations on complex numbers, and applications.
MATH 80S Intermediate Algebra Support
- Units
- 2
- Hours
- 2 hours lecture
- Corequisite
- MATH 80
This course is designed to support students concurrently enrolled in Intermediate Algebra for Science, Technology, Engineering and Mathematics (Math 80). As needed, students review core skills and topics necessary to meet the intermediate algebra student learning outcomes and objectives. Students explore strategies and habits used by successful independent learners. Topics reviewed in this support course may include: computational fluency, algebraic symbolism and its use in solving problems, solving and graphing intermediate algebra functions using real-world application models, and systems of equations and inequalities in two variables. Students will study topics through multiple representations: tables, algebraic symbols, language, and graphs.
MATH 99 Independent Study
- Units
- 1-3
- Formerly
- Mathematics 99abc
- Transfers to
- CSU
This course provides special advanced studies in a subject field of Mathematics not covered in the regular departmental offerings. Regular conferences with the instructor are coordinated with assigned Mathematics research projects (54 hours per unit).
MATH 100 Supervised Tutoring: Mathematics
- Units
- 0
- Hours
- 4 hours lab per week to be arranged
This course provides students with supervised tutoring related to their assignments in all mathematics courses offered at El Camino College. The tutoring addresses the application of learning skills, the use of learning resources, and the review of course content.
MATH 110 Structures and Concepts in Mathematics
- Units
- 3
- Hours
- 2 hours lecture, 3 hours lab
- Prerequisite
- Intermediate algebra or equivalent or placement by appropriate assessment
- Transfers to
- CSU, UC
As an introduction to the use of logical, quantitative, and spatial reasoning in the discipline of mathematics, students in this course examine the mathematical topics of set theory, numeration, number theory, functions, graphs, patterns and the structure of real numbers. Students investigate the interrelationships among these topics, with an emphasis on algebraic, geometric and kinesthetic modeling, inductive and deductive logic, and proofs using pictures. Designed for pre-service elementary school teachers, this course is appropriate for all students interested in a deeper understanding of the structure of mathematics.
MATH 115 Probability and Statistics for Prospective Elementary School Teachers
- Units
- 3
- Hours
- 2 hours lecture, 3 hours lab
- Prerequisite
- MATH 67 or MATH 73 or MATH 80 with a minimum grade of C in prerequisite or qualification by appropriate assessment
- Advisory
- eligibility for ENGL 1A (now ENGL C1000)
- Transfers to
- CSU, UC
This course is designed to provide a comprehensive and in-depth exploration of the concepts in probability and statistics. Topics include creating and interpreting graphs, random variables and sampling, measures of central tendency and dispersion, analysis of experiments including hypothesis testing, design of experiments, and data gathering. In addition, basic laws of probability, logic and set theory including dependent, independent, and mutually exclusive events, odds, and expected values will be examined.
MATH 116 Geometry and Measurement for Prospective Elementary School Teachers
- Units
- 3
- Hours
- 2 hours lecture, 3 hours lab
- Prerequisite
- Math 110 with a minimum grade of C or concurrent enrollment.
- Transfers to
- CSU, UC
In this course, designed for prospective elementary school teachers, students focus on the conceptual and procedural understanding of geometry and measurement. Students explore informal geometry, congruence, similarity, constructions, transformations, tessellations, and measurement involving both English and metric units in one, two, and three dimensions. The use of appropriate units in real-world geometric situations is emphasized throughout the course. Group activities, hands-on activities and use of computer software are integrated throughout the course. Note: The maximum UC credit allowed for students completing Mathematics 110, 111, 115, and 116 is one course.
MATH 120 Nature of Mathematics
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Proficient in intermediate algebra skills
- Transfers to
- CSU, UC
This course surveys general ideas and concepts of mathematics, including mathematics of finance, set theory, combinatorics, probability, statistics, voting systems, logic and applications of Euclidean geometry.
MATH 120S Liberal Arts Mathematics Support
- Units
- 1
- Hours
- 1 hour lecture
- Corequisite
- MATH 120
This is a support course for students concurrently enrolled in Math 120. Students will receive additional instruction in core skills and concepts needed in Liberal Arts Mathematics. Topics as needed may include concepts from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level Liberal Arts Mathematics.
MATH 130 College Algebra
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Proficient in intermediate algebra
- Transfers to
- CSU, UC
In this course, students will explore polynomial, radical, rational, exponential, and logarithmic functions and their graphs, as well as sequences and series. Note: This is a preparatory course for Calculus I for the Biological, Management, and Social Sciences In this course, students will explore polynomial, radical, rational, exponential, and logarithmic functions and their graphs, as well as sequences and series. Note: This is a preparatory course for MATH 165 - Calculus for Business and Social Sciences.
MATH 130S College Algebra Support
- Units
- 1
- Hours
- 1 hour lecture
- Corequisite
- MATH 130
This course is designed to support students concurrently enrolled in College Algebra (Math 130). As needed, students review core skills and topics necessary to meet the College algebra student learning outcomes and objectives. Students explore strategies and habits used by successful independent learners. Topics reviewed in this support course may include: a review of the computational skills developed in intermediate algebra; operations on polynomial, rational, radical, exponential, and logarithmic expressions; functions and transformations of their graphs; solving equations and inequalities; and setting up and solving application problems.
MATH 140 Finite Mathematics for Business and Social Sciences
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- Proficient in intermediate algebra
- Transfers to
- CSU, UC
This course consists of a study of functions, matrices, linear programming, sets, combinatorics, probability, statistics, mathematics of finance, and Markov chains.
MATH 165 Calculus for Business and Social Sciences
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 130 or MATH 180 with a minimum grade of C in prerequisite or qualification by testing (El Camino College Mathematics Placement Test) and assessment
- Transfers to
- CSU, UC
This course consists of an introduction to differential and integral calculus with business and social science applications to include polynomial, rational, exponential and logarithmic functions and their graphs multi-variable calculus to include partial differentiation, optimization, and introduction to differential equations.
MATH 170 Trigonometry
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- MATH 60 and MATH 80 with a minimum grade of C in prerequisite or qualification by appropriate assessment
- Transfers to
- CSU
This course includes a study of trigonometric functions, their inverses, identities, equations, complex numbers, graphs, and applications.
MATH 170S Trigonometry Support
- Units
- 1
- Hours
- 1 hour lecture
- Corequisite
- MATH 170
This course is designed to support students concurrently enrolled in Trigonometry (Math 170). As needed, students review core skills and topics necessary to meet the Trigonometry student learning outcomes and objectives. Students explore strategies and habits used by successful independent learners. Topics reviewed in this support course may include: operations on polynomial, rational, and radical expressions; functions and transformations of their graphs; solving equations and inequalities; a review of topics from geometry; and setting up and solving application problems.
MATH 180 Precalculus
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 170 with a minimum grade of C or qualification by appropriate assessment
- Transfers to
- CSU, UC
This course is a preparation for calculus. Topics of study include polynomial, rational, exponential, logarithmic, trigonometric, and inverse functions. Matrices and analytic geometry are introduced, as well as sequences and series. The application of these topics is stressed to enhance conceptual understanding of the material.
MATH 180S Precalculus Support
- Units
- 2
- Hours
- 2 hours lecture
- Corequisite
- MATH 180
This course is designed to support students concurrently enrolled in Precalculus (Math 180). As needed, students review core skills and topics necessary to meet the Precalculus student learning outcomes and objectives. Students explore strategies and habits used by successful independent learners. Topics reviewed in this support course may include: a review of the computational skills developed in intermediate algebra; operations on polynomial, rational, radical, exponential and logarithmic expressions; functions and transformations of their graphs; solving equations and inequalities; and solving application problems.
MATH 187 Transition to Calculus I
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- AB 1705 Placement - AB 1705 allows students with a high school GPA of less than or equal to 2.6 OR who did not pass high school Trigonometry, Precalculus, or Calculus with a C or better to enroll in this course.
- Advisory
- Students may enroll in Math 190 concurrently with Math 187, but it is not required. Math 187 can be taken as a standalone course.
This course provides the algebraic and trigonometric preparation needed for success in Calculus I (Math 190). The content of the course mirrors that of Math 190 and can be taken prior to or alongside it. Students will learn graphing, simplifying expressions, solving equations, modeling in a way that directly relates to how these skills are used in Math 190. Algebra and trigonometry are both covered throughout the class, providing a more integrated understanding of them. An active learning approach will be used, where students are able to engage with the material in class.
MATH 190 Single Variable Calculus and Analytic Geometry I
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 180 with a minimum grade of C or qualification by testing (El Camino College Mathematics Placement Test) and assessment
- Transfers to
- CSU, UC
In this course students will be introduced to topics such as limits, continuity, derivatives and antiderivatives of algebraic and transcendental functions; definite integrals of algebraic and transcendental functions with and without the fundamental theorem of calculus; linear approximations; relating features of a function's graph to its derivatives; and application problems using derivatives as well as implicit differentiation. Problem solving using computer software is also addressed
MATH 190S Single Variable Calculus and Analytic Geometry I Support
- Units
- 2
- Hours
- 2 hours lecture
- Corequisite
- Math 190
This course is designed to support students concurrently enrolled in calculus (Math 190). As needed, students review core skills and topics necessary to meet the calculus student learning outcomes and objectives. Students explore strategies and habits used by successful independent learners. Topics reviewed in this support course may include the following: simplifying polynomial, rational, radical, exponential, logarithmic, and absolute value expressions; solving equations; polynomial functions; rational functions; exponential functions; logarithmic functions; trigonometry functions; and solving trigonometric equations using right triangles.
MATH 191 Single Variable Calculus and Analytic Geometry II
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 190 with a minimum grade of C
- Transfers to
- CSU, UC
This course includes a study of methods and applications of integration, , improper integrals, numerical integration, infinite sequences, infinite series and power series, parametric equations, and polar equations.
MATH 210 Introduction to Discrete Structures
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 190 with a minimum grade of C
- Transfers to
- CSU, UC
This course blends mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking and modeling to study the problems that occur in computer science and mathematics. Topics covered include: logic, sets, proofs, functions, relations, number theory, counting, probability, graphs and trees.
MATH 220 Multi-Variable Calculus
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 191 with a minimum grade of C
- Transfers to
- CSU, UC
This course is the study of calculus in several variables. Differentiation topics include partial differentiation, tangent planes to surfaces, directional derivatives and optimization. Integral topics include line, surface, and volume integrals, and the theorems of Green, Gauss and Stokes as generalizations of the Fundamental Theorem of Calculus. Topics in vector algebra and solid analytic geometry are included.
MATH 270 Differential Equations with Linear Algebra
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH 220 with a minimum grade of C
- Transfers to
- CSU, UC
This course consists of a study of first-order ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, linear second-order ordinary differential equations, power series solutions, numerical methods, Laplace transforms, eigenvalues, eigenvectors, and systems of linear differential equations and applications.
MATH 500 Math Essentials I: Arithmetic: Integers, Fractions, and Decimals
- Units
- 0
- Hours
- 0.22 hours lab
This introductory noncredit arithmetic course is designed to develop number and operation sense using whole numbers, fractions, decimals, and percent, as well as develop problem-solving skills. Topics include writing whole numbers and decimals in various forms, estimation, ratios, proportions, and applications.
MATH 501 Math Essentials II: Algebraic Expressions
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course bridges the gap between arithmetic and formal algebra, developing number sense and operation sense, in order to formulate and simplify algebraic expressions with integers, fractions, and percent. Algebraic principles are applied to problems from a variety of fields. Other topics include: proportional reasoning, spatial reasoning, informal geometry and measurement.
MATH 502 Math Essentials for STEM: Factoring
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course introduces the basic techniques for factoring polynomials. Techniques for factoring polynomials include factoring a greatest common factor, factoring binomials, trinomials, special trinomials and factoring by grouping using the general factoring strategy.
MATH 503 Math Essentials for STEM: Rational Expressions
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course introduces how to simplify rational expressions. This course bridges the topic of factoring to conducting operations with rational expressions, such as multiplication, division, addition and subtraction. This course then transitions into characteristics of basic rational functions along with their graphs.
MATH 504 Math Essentials for STEM: Radical Expressions
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course introduces fractional exponents and radical expressions. Students study the graphs of such expressions and solve equations involving such expressions.
MATH 505 Math Essentials for STEM: Logarithms and Exponential Functions
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course introduces exponents and exponential functions. Students study logarithms as an inverse function. Students also analyze the graphs of functions and their properties.
MATH 506 Math Essentials for STEM: Solving Equations and Inequalities
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course covers solving equations and inequalities involving polynomials, rational, radicals, exponentials, and logarithms.
MATH 507 Math Essentials for STEM: Graphing Functions
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course covers graphing functions. Students analyze the graphs of standard functions: linear, quadratic, polynomial, rational, radical, exponential, logarithmic functions, and absolute value function. Topics include domain, range, asymptotes, end behavior, and function transformation. Students study operations on functions like addition, subtraction, multiplication, and division. The course includes an in-depth look at composition with an eye towards the chain rule in calculus.
MATH 508 Math Essentials for STEM: Crash Course on Trig
- Units
- 0
- Hours
- 0.22 hours lecture
This noncredit course is an introduction to the trigonometry of triangles, inverse trig functions, graphs, equations and identities.