Mathematics
26 courses · Mt. San Antonio College · 2026-2027 Catalog
Classes: Fall 2026 · Winter 2027
MATH 10A Support Topics for Survey of College Mathematics
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 100
Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in Survey of College Mathematics. Course is for students concurrently enrolled in Survey of College Mathematics (MATH 100). Support topics include set theory, logic, counting methods, probability and statistics, with additional topics selected from numeration and mathematical systems, number theory, geometry, graph theory, and mathematical modeling.
MATH 12 Support Topics for Finite Mathematics
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 120
Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in Finite Mathematics. Course is for students concurrently enrolled in Finite Mathematics (Math 120). Support topics include linear functions and models, matrices, linear programming problems, math of finance, set theory, counting methods, probability, statistics, and Markov chains.
MATH 13 Support Topics for College Algebra
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 130
Support will focus on promoting mathematical reasoning, critical thinking skills and essential skills needed for success in College Algebra (MATH 130). Course is for students concurrently enrolled in College Algebra. Support topics include polynomial, rational, and radical expressions; factoring of polynomials, complex numbers; exponents; linear, quadratic, rational, exponential and logarithmic functions: graphing, expressions, equations and their applications; linear and nonlinear inequalities; theory of polynomial equations; systems of linear and quadratic equations.
MATH 14 Support Topics for Business Calculus
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 140
Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in Business Calculus. Course is for students concurrently enrolled in Business Calculus (MATH 140). Support topics include Calculus for business, social science, and non-science majors. Algebraic, logarithmic, and exponential functions; limits; differentiation with applications; various techniques of integration with applications; differential equations; and multivariable calculus.
MATH 15 Support Topics for Trigonometry
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 150
Support will focus on promoting mathematical reasoning, critical thinking skills and essential skills needed for success in Trigonometry. Course is for students concurrently enrolled in Trigonometry (MATH 150). Support topics include trigonometric functions and inverse trigonometric functions and the graphical representation of these functions; solutions to right and oblique triangles with laws of sines and cosines; vectors; solutions to trigonometric equations; identities; polar coordinates; complex numbers and De Moivre's Theorem.
MATH 16 Support Topics for Precalculus
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 160
Support will focus on essential trigonometry and algebra skills needed for success in Precalculus Mathematics. Course is for students concurrently enrolled in Math 160. Support topics include set notation, complex rational expressions and radical expressions, lines, piecewise-defined functions, circles, modeling with functions, factoring, asymptotes, solving inequalities, simplifying exponential expressions, evaluating trigonometric and inverse trigonometric functions, solving exponential, logarithmic, and trigonometric equations, vectors, and systems of equations.
MATH 18A Support Topics for Calculus I
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 180
Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in MATH 180. Course is for students concurrently enrolled in Calculus and Analytic Geometry I (MATH180). Support topics include differential and integral calculus with application; functions, limits, the derivative, curve sketching, optimization, and rules for differentiation of algebraic, exponential, logarithmic, and trigonometric functions with their inverses, with applications; indefinite and definite integrals.
MATH 18B Support Topics for Calculus II
- Units
- 2
- Hours
- Lecture: 36
- Corequisite
- MATH 181
Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in MATH 181. Course is for students concurrently enrolled in Calculus and Analytic Geometry II (MATH 181). Support topics include differential and integral calculus with infinite series and applications; applications of integration, techniques of integration, numerical integration, indeterminate forms and improper integrals, differential equations, and polar coordinates.
MATH 50 Pre-Algebra
- Units
- 3
- Hours
- Lecture: 54
- Prerequisite
- LERN 49 or appropriate placement.
Fundamental principles of mathematics designed to ease the transition from arithmetic to algebra. Concepts, computational skills, thinking skills and problem-solving skills are balanced to build proficiency in elementary topics from algebra and mastery in arithmetic.
MATH 51 Elementary Algebra
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 50 or appropriate placement
Basic algebra, equivalent to first year high school algebra. Includes: operations with signed numbers and algebraic expressions; linear, quadratic, rational, and radical equations; linear inequalities of one and two variables; slope, graphing, and equations of lines; introduction to functions; systems of linear equations; exponent rules; polynomial operations; scientific notation; factoring; rational expressions; variation; radicals; fractional exponents; formulas; applications.
MATH 71 Intermediate Algebra
- Units
- 5
- Hours
- Lecture: 90
Extends concepts from elementary algebra to prepare students for college-level mathematics courses. Polynomial, rational, radical, exponential and logarithmic expressions are simplified, equations solved and functions graphed and studied; linear and nonlinear systems of equations and inequalities; conic sections; sequence, series and the binomial theorem
MATH 71X Practical Intermediate Algebra
- Units
- 5
- Hours
- Lecture: 90
- Prerequisite
- MATH 51 or MATH 51B or appropriate placement
Intermediate Algebra for the non-calculus path. Polynomial, rational, radical, exponential, and logarithmic expressions are simplified, equations solved, and real-world phenomena are modeled using least-squares methods, functions graphed and analyzed; linear and nonlinear systems of equations and inequalities; sequences, series, and probabilities; data gathering instruments are used to sample data for curve fitting.
MATH 99 Special Projects in Mathematics
- Units
- 2
- Hours
- Lecture: 36
- Prerequisite
- Instructor authorization and Approved Learning Contract
- Transfers to
- CSU
The Math Department offers special projects courses in order to offer selected students recognition for their academic interests and ability, and the opportunity to explore their disciplines in greater depth. The content of each course and the methods of study vary from semester to semester and depend on the particular project under consideration. Instructor authorization needed prior to enrollment.
MATH 100 Survey of College Mathematics
- Units
- 3
- Hours
- Lecture: 54
- Prerequisite
- MATH 71 or appropriate placement
- Transfers to
- CSU, UC
Mathematical methods and reasoning. Topics include: set theory, logic, counting methods, probability and statistics, with additional topics selected from numeration and mathematical systems, number theory, geometry, graph theory, and mathematical modeling.
MATH 105 Mathematical Concepts for Elementary School Teachers
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 71 or appropriate placement
- Transfers to
- CSU, UC
Focuses on the development of quantitative reasoning skills. Exploration of topics in mathematics, including real number systems and subsystems. Comprehension and analysis of mathematical concepts and applications of logical reasoning are emphasized. Designed for pre-service elementary school teachers.
MATH 120 Finite Mathematics
- Units
- 3
- Hours
- Lecture: 54
- Prerequisite
- MATH 71 or MATH 71X or MATH 71B or appropriate placement
- Transfers to
- CSU, UC
Linear programming, matrix theory, probability, statistics, stochastic processes, Markov chains, and math of finance. Applications for business, economics, and social sciences.
MATH 130 College Algebra
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 71 or appropriate placement
- Transfers to
- CSU, UC (credit limitation)
College-level algebra course. This course covers polynomial, rational, and radical expressions; factoring of polynomials, complex numbers; exponents; linear, quadratic, rational, exponential and logarithmic functions: graphing, expressions, equations and their applications; linear and nonlinear inequalities; theory of polynomial equations; systems of linear and quadratic equations.
MATH 140 Calculus for Business
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 71 or appropriate placement
- Transfers to
- CSU, UC (credit limitation)
Calculus for business, social science, and non-science majors. Algebraic, logarithmic, and exponential functions; limits; differentiation with applications; various techniques of integration with applications; differential equations; and multivariable calculus.
MATH 150 Trigonometry
- Units
- 3
- Hours
- Lecture: 54
- Prerequisite
- MATH 71
- Transfers to
- CSU
Trigonometric functions and inverse trigonometric functions and the graphical representations of these functions; solutions to right and oblique triangles with laws of sines and cosines; vectors; solutions to trigonometric equations; identities; polar coordinates; complex numbers and De Moivre's Theorem. Trigonometry is a branch of mathematics devoted to studying the relationships between angles and ratios of lengths. Trigonometry plays a vital role in calculus and has a wide range of applications in architecture, surveying, astronomy, physics, engineering, construction, marine biology, navigation, and crime scene investigation.
MATH 160 Precalculus Mathematics
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 150 or appropriate placement
- Transfers to
- CSU, UC (credit limitation)
Prepares students for the calculus sequence. Real-valued functions, including algebraic, trigonometric, exponential, and logarithmic functions. Also includes proofs, inequalities, introductory analytical geometry, series, sequences, and vectors.
MATH 180 Calculus and Analytic Geometry I
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 160 or appropriate placement.
- Transfers to
- CSU, UC (credit limitation)
Differential and integral calculus with applications. Functions, limits, the derivative, curve sketching, optimization, and rules for differentiation of algebraic, exponential, logarithmic, and trigonometric functions with their inverses, with applications. Indefinite and definite integrals.
MATH 181 Calculus and Analytic Geometry II
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 180
- Transfers to
- CSU, UC
- C-ID
- MATH 220
Differential and integral calculus with infinite series and applications. Includes applications of integration, techniques of integration, numerical integration, indeterminate forms and improper integrals, differential equations, and polar coordinates.
MATH 260 Linear Algebra
- Units
- 3
- Hours
- Lecture: 54
- Prerequisite
- MATH 181
- Transfers to
- CSU, UC (credit limitation)
Matrices, linear systems, determinants, vector and inner product spaces, linear transforms, eigenvalues, and eigenvectors.
MATH 280 Calculus and Analytic Geometry III
- Units
- 5
- Hours
- Lecture: 90
- Prerequisite
- MATH 181
- Transfers to
- CSU, UC
- C-ID
- MATH 230
Multivariate and vector calculus, which includes vectors in two and three space and surfaces in space. Analysis of vector-valued functions. Partial derivatives, differentials, the chain rule, directional derivatives, and the gradient. Extrema of functions of several variables with applications. Multiple integrals in various coordinate systems with applications. Vector fields, line integrals, and independence of path. Green's Theorem, surface integrals, flux, divergence, and curl. Stokes' Theorem and the Divergence Theorem.
MATH 285 Linear Algebra and Differential Equations
- Units
- 5
- Hours
- Lecture: 90
- Prerequisite
- MATH 280
- Transfers to
- CSU, UC (credit limitation)
First order ordinary differential equations, with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
MATH 290 Differential Equations
- Units
- 4
- Hours
- Lecture: 72
- Prerequisite
- MATH 181
- Transfers to
- CSU, UC
First-order ordinary differential equations, including separable, linear, homogeneous, Bernoulli, and exact, with applications and numerical methods. Solutions to higher-order differential equations using undetermined coefficients, variation of parameters, power series, and Laplace transforms, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions.