Mathematics
41 courses · Merced College · 2026-2027 Catalog
Classes: Fall 2026 · Spring 2027
MATH-C2210 Calculus I: Early Transcendentals
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- Pre-calculus, or college algebra and trigonometry, or equivalent, or placement as determined by the college’s multiple measures assessment process
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Formerly
- MATH-04A
- Transfers to
- CSU, UC
- C-ID
- MATH 211
A first course in differential and integral calculus of a single variable. Topics include limits and continuity of functions, techniques and applications of differentiation, an introduction to integration, and the Fundamental Theorem of Calculus. This course is primarily intended for Science, Technology, Engineering, and Mathematics (STEM) majors. (11/25)
MATH-C2210E Calculus I: Early Transcendentals - Embedded Support
- Units
- 5
- Hours
- 4 hours lecture, 3 hours lab
- Prerequisite
- Pre-calculus, or college algebra and trigonometry, or equivalent, or placement as determined by the college’s multiple measures assessment process
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Formerly
- MATH-04AS
- Transfers to
- CSU, UC
A first course in differential and integral calculus of a single variable. Topics include limits and continuity of functions, techniques and applications of differentiation, an introduction to integration, and the Fundamental Theorem of Calculus. This course is primarily intended for Science, Technology, Engineering, and Mathematics (STEM) majors. This course includes embedded support. (11/25)
MATH-C2220 Calculus II: Early Transcendentals
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- MATH C2210 (formerly MATH-04A) or MATH-C2210E (formerly MATH-04AS), or equivalent, or placement as determined by the college’s multiple measures assessment process
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Formerly
- MATH-04B
- Transfers to
- CSU, UC
- C-ID
- MATH 221
A second course in differential and integral calculus of a single variable. Topics include applications of integration, techniques of integration, infinite sequences and series, and the calculus of parametric and polar equations. This course is primarily intended for Science, Technology, Engineering, and Mathematics (STEM) majors. (11/25)
MATH-02 Precalculus
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- MATH-25
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 155
This course is designed to prepare students for calculus. Topics of study include polynomials, complex numbers, algebra of functions, inverse functions, exponential, logarithmic, trigonometric functions and their graphs, systems of equations and inequalities, topics in analytic geometry, and polar coordinates. (12/15)
MATH-02H Honors Precalculus
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- MATH-25
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 155
This course is designed to prepare students for calculus. Topics of study include polynomials, complex numbers, algebra of functions, inverse functions, exponential, logarithmic, trigonometric functions and their graphs, systems of equations and inequalities, topics in analytic geometry, and polar coordinates. There will be an emphasis in the use of available technology, mathematical writing, and collaborative learning. (12/15)
MATH-02S Precalculus with Support
- Units
- 5
- Hours
- 4 hours lecture, 3 hours lab
- Prerequisite
- MATH-25 or MATH-25S
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course is designed to prepare students for calculus. Topics of study include polynomials, complex numbers, algebra of functions, inverse functions, exponential, logarithmic, trigonometric functions and their graphs, systems of equations and inequalities, topics in analytic geometry, and polar coordinates. Also included is a review of the core prerequisite skills, competencies, and concepts needed in precalculus. Topics include concepts from elementary algebra, intermediate algebra, and trigonometry.
MATH-03 Calculus for Business
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course covers the techniques of calculus in the business world: functions, graphs, limits, exponential and logarithmic functions, differentiation, integration, techniques and applications of integration, partial derivatives, optimization, and the calculus of several variables. (12/15)
MATH-03S Calculus for Business with Support
- Units
- 5
- Hours
- 4 hours lecture, 3 hours lab
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course covers the techniques of calculus in the business world: functions, graphs, limits, exponential and logarithmic functions, differentiation, integration, techniques and applications of integration, partial derivatives, optimization, and the calculus of several variables. Also includes a review of the core prerequisite skills, competencies, and concepts needed in Business Calculus. Topics include concepts from elementary and intermediate algebra.
MATH-04C Multivariable Calculus
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- MATH-C2220 (formerly MATH-04B)
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 230
This course covers vectors and solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals, and topics in vector calculus including Green’s and Stokes’ theorems. (12/14)
MATH-05 Differential Equations and Linear Algebra
- Units
- 5
- Hours
- 5 hours lecture
- Prerequisite
- MATH-C2220 (formerly MATH-04B)
- Transfers to
- CSU, UC
This course is a combination of differential equations and linear algebra. The topics for differential equations include solutions to first-order equations, higher-order linear equations, series solutions, systems of linear differential equations, and Laplace transforms. The topics for linear algebra include matrix algebra, linear equations, vector spaces, scalar products, linear transformations, determinants, and eigenvalues. (06/25)
MATH-06 Elementary Differential Equations
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- MATH-04C
- Advisory
- ENGL-C1000 (Formerly ENGL-01A); MATH-08
- Transfers to
- CSU, UC
- C-ID
- MATH 240
This course is an introduction to ordinary differential equations (ODEs), including analytical, graphical and numerical methods, as well as a variety of modeling applications. It introduces both theoretical and practical considerations, including definitions, existence and uniqueness of solutions, techniques for solving first-order ODEs and higher-order linear ODEs, series solutions and singular points for linear differential equations, Laplace transforms, homogeneous versus nonhomogeneous equations, linear systems, and numerical methods. (10/16)
MATH-08 Linear Algebra
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- MATH-C2220 (formerly MATH-04B)
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 250
This course is an introduction to systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors with a strong emphasis on applications. (09/19)
MATH-09 Differential Equations with Linear Algebra
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- MATH-C2220 (formerly MATH-04B)
- Advisory
- ENGL-C1000 (Formerly ENGL-01A) and MATH-04C
- Transfers to
- CSU, UC
This course is a combination of Differential equations and Linear algebra. The topics for Differential equations include solutions to first order equations, higher order linear equations, series solutions, systems of equations, and Laplace transforms. The topics for Linear algebra include linear equations, vector spaces, scalar products, linear transformations, determinants, and eigenvalues. (05/21)
MATH-15 Finite Mathematics
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 130
This course covers algebra review, linear models, systems of linear equations, matrices, linear programming, mathematics of finance, set theory, and probability. (12/20)
MATH-15S Finite Mathematics with Support
- Units
- 4
- Hours
- 3 hours lecture, 3 hours lab
- Prerequisite
- Completion of intermediate algebra or equivalent
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course covers algebra review, linear models, systems of linear equations, matrices, linear programming, mathematics of finance, set theory and probability. This course includes applications to business, economics, psychology and sociology. Also included is a review of the core prerequisite skills, competencies, and concepts needed in Finite Mathematics. Topics include concepts from prealgebra, elementary algebra, and intermediate algebra and the development of critical thinking skills necessary for Finite Math.
MATH-20A Basic Structure of Mathematics I
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 120
This course is designed to complete the first course of a two-course sequence in basic concepts of mathematics required for students preparing to teach at the elementary school level. It covers elementary set theory, numeration systems, number theory, the set of integers, the set of rational numbers, and the set of real numbers. (11/25)
MATH-20AS Basic Structure of Mathematics I with Support
- Units
- 4
- Hours
- 3 hours lecture, 3 hours lab
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course is designed to complete the first course of a two-course sequence in basic concepts of mathematics required for students preparing to teach at the elementary school level. It covers elementary set theory, numeration systems, number theory, the set of integers, the set of rational numbers, and the set of real numbers. Also included is a review of the core prerequisite skills, competencies, and concepts needed in Math 20A. Topics include concepts from beginning, elementary algebra, and geometry.
MATH-20B Basic Structure of Mathematics II
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course is designed to complete the second course of a two-course sequence in basic concepts of mathematics required for students preparing to teach at the elementary school level. This course covers the structure of plane and solid geometry, measurement, introduction to coordinate geometry, elementary probability, and statistics. (11/25)
MATH-20BS Basic Structure of Math II with Support
- Units
- 4
- Hours
- 3 hours lecture, 3 hours lab
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course is designed to complete the second course of a two-course sequence in basic concepts of mathematics required for students preparing to teach at the elementary school level. The course covers the structure of plane and solid geometry, measurement, introduction to coordinate geometry, elementary probability and statistics. Also included is a review of the core prerequisite skills, competencies, and concepts needed in Math 20B. Topics include concepts from beginning, elementary algebra, and geometry.
MATH-22 Modern Mathematics
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
A survey course in mathematical problem solving using modern topics including social choice, management science, finance, and statistics. (11/21)
MATH-22S Modern Mathematics with Support
- Units
- 4
- Hours
- 3 hours lecture, 3 hours lab
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
A survey course in mathematical problem solving using modern topics including social choice, management science, finance, and statistics. Also included is a review of the core prerequisite skills, competencies, and concepts needed in Modern Mathematics. Topics include concepts from prealgebra, elementary algebra, and intermediate algebra and the development of critical thinking skills necessary for Modern Mathematics.
MATH-24 College Algebra for Stem
- Units
- 4
- Hours
- 4 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
College level course in algebra for majors in science, technology, engineering, and mathematics: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry.
MATH-24S College Algebra for Stem with Support
- Units
- 5
- Hours
- 4 hours lecture, 3 hours lab
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
College level course in algebra for majors in science, technology, engineering, and mathematics: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry. Also included is a review of the core prerequisite skills, competencies, and concepts needed in college algebra. Topics include concepts from elementary and intermediate algebra.
MATH-25 Trigonometry
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- MATH 24 or MATH-24S
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU
This course is a review of right triangle geometry, real numbers, functions and graphs, trigonometric functions and their graphs, identities, inverse trigonometry functions, solve trigonometric equations, solve right triangles, solve triangles using the Law of Sines, and Law of Cosines. (11/17)
MATH-25S Trigonometry with Support
- Units
- 4
- Hours
- 3 hours lecture, 3 hours lab
- Prerequisite
- MATH 24 or MATH-24S
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU
This course is a review of right triangle geometry, real numbers, functions and graphs, trigonometric functions and their graphs, identities, inverse trigonometry functions, solve trigonometric equations, solve right triangles, solve triangles using the Law of Sines, and Law of Cosines. Also included is a review of the core prerequisite skills, competencies, and concepts needed in trigonometry. Topics include concepts from elementary algebra, intermediate algebra, and geometry.
MATH-26 College Algebra for Liberal Arts
- Units
- 3
- Hours
- 3 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
- C-ID
- MATH 150
This is a college level course in algebra for majors in the Liberal Arts. The course will cover topics on functions, including polynomial, rational, radical, exponential, absolute value, and logarithmic functions. Solving various types of equations, linear systems, and their applications for problem solving will also be discussed. (04/19)
MATH-26S College Algebra for Liberal Arts with Support
- Units
- 4
- Hours
- 3 hours lecture, 3 hours lab
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This is a college level course in algebra for majors in the Liberal Arts. The course will cover topics on functions, including polynomial, rational, radical, exponential, absolute value, and logarithmic functions. Solving various types of equations, linear systems, and their applications for problem solving will also be discussed. Also included is a review of the core prerequisite skills, competencies, and concepts needed in college algebra. Topics include concepts from elementary and intermediate algebra.
MATH-27 Precalculus and Trigonometry
- Units
- 6
- Hours
- 6 hours lecture
- Prerequisite
- Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course is designed to prepare students for calculus. Topics of study include polynomials, complex numbers, algebra of functions, inverse functions, exponential, logarithmic, trigonometric functions and their graphs, systems of equations and inequalities, topics in analytic geometry, polar coordinates and vectors. (02/18)
MATH-32 Probability and Statistics for Stem
- Units
- 4
- Hours
- 4 hours lecture
- Corequisite
- MATH-04C
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
- Transfers to
- CSU, UC
This course covers concepts of probability and statistics using Calculus methods. Topics include conditional probability, independence, random variables, distribution functions, descriptive statistics, transformations, sampling errors, confidence intervals, least squares and maximum likelihood. Exploratory data analysis and interactive computing. (05/21)
MATH-61 Beginning & Intermediate Algebra for Stem
- Units
- 6
- Hours
- 6 hours lecture
This course covers topics in both beginning and intermediate algebra. The beginning algebra topics include order of operations, graphing linear equations, solving equations and inequalities that are linear in form, operations on polynomials, and a brief introduction to functions. The intermediate algebra topics include factoring, graphing linear and non¬linear functions, including piecewise defined graphs, problem solving with nonlinear equations, working with complex numbers, and graphing conic sections. This course is designed to prepare students for mathematics course work in trigonometry and precalculus. (11/17)
MATH-62 Beginning & Intermediate Algebra for Liberal Arts
- Units
- 5
- Hours
- 5 hours lecture
This course covers the four basic operations on real numbers and algebraic expressions. Topics include order of operations, graphing and solving linear and absolute value equations and inequalities, systems of linear equations, quadratic, variation, geometric, financial, polynomial, exponential, and logarithmic models. This course is designed for non-STEM majors. (11/17)
MATH-95A Basic Structures I Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-20A
A review of the core prerequisite skills, competencies, and concepts needed in Math 20A. Topics include concepts from beginning, elementary algebra, and geometry. Intended for students who are concurrently enrolled in Math-20A. Pass/No Pass only. (12/20)
MATH-95B Basic Structures II Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-20B
A review of the core prerequisite skills, competencies, and concepts needed in Math 20B. Topics include concepts from beginning, elementary algebra, and geometry. Intended for students who are concurrently enrolled in Math-20B. Pass/No Pass only. (12/20)
MATH-95C College Algebra Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-26
A review of the core prerequisite skills, competencies, and concepts needed in College Algebra. Topics include concepts from elementary and intermediate algebra. Intended for students who are concurrently enrolled in College Algebra. Pass/No Pass only. (12/20)
MATH-95F Finite Mathematics Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-15
A review of the core prerequisite skills, competencies, and concepts needed in Finite Mathematics. Topics include concepts from prealgebra, elementary algebra, and intermediate algebra and the development of critical thinking skills necessary for Finite Math. Intended for students who are currently enrolled in Finite Math. Pass/No Pass only. (12/20)
MATH-95I Support for Calculus II
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-C2220 (formerly MATH-04B)
This course offers a review of the core prerequisite skills, competencies, and concepts needed for second semester calculus. Topics include concepts from elementary algebra, intermediate algebra, and trigonometry. It is intended for students who are concurrently enrolled in calculus II. Pass/No Pass only. (11/24)
MATH-95M Modern Mathematics Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-22
A review of the core prerequisite skills, competencies, and concepts needed in Modern Mathematics. Topics include concepts from prealgebra, elementary algebra, and intermediate algebra and the development of critical thinking skills necessary for Modern Mathematics. Intended for students who are currently enrolled in Math 22. Pass/No Pass only. (05/22)
MATH-95P Precalculus Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-02
A review of the core prerequisite skills, competencies, and concepts needed in precalculus. Topics include concepts from elementary algebra, intermediate algebra, and trigonometry. Intended for students who are concurrently enrolled in precalculus. Pass/No Pass only. (12/20)
MATH-95S Statistics Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- STAT-C1000 (formerly MATH-10) Introduction to Statistics
- Advisory
- ENGL-C1000 (Formerly ENGL-01A)
A review of the core prerequisite skills, competencies, and concepts needed in statistics. Topics include concepts from prealgebra, elementary and intermediate algebra, and the development of critical thinking skills needed for statistical analysis. Intended for students who are concurrently enrolled in Elementary Statistics. Pass/No Pass only. (11/24)
MATH-95T Trigonometry Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-25
A review of the core prerequisite skills, competencies, and concepts needed in trigonometry. Topics include concepts from elementary algebra, intermediate algebra, and geometry. Intended for students who are concurrently enrolled in trigonometry. Pass/No Pass only. (12/20)
MATH-95Z Business Calculus Support
- Units
- 1
- Hours
- 3 hours lab
- Corequisite
- MATH-03
A review of the core prerequisite skills, competencies, and concepts needed in business calculus. Topics include concepts from elementary algebra, intermediate algebra, and geometry. Intended for students who are concurrently enrolled in business calculus. Pass/No Pass only. (05/22)