Mathematics
21 courses · San Diego Miramar College · 2026-2027 Catalog
Classes: Fall 2026 · Spring 2027
MATH 15A Prealgebra Refresher
- Units
- 1
- Hours
- 48-54 hours lab
This course is a review of prealgebra skills needed for success in subsequent mathematics courses. Students receive instruction and academic support in mathematics concepts, arithmetic operations, algebraic expressions, mathematical properties, and their application to prealgebra-specific mathematical problems. This course is designed for students who need to refresh their pre-algebra skills or need additional support in subsequent mathematics courses.
MATH 15B Elementary Algebra and Geometry Refresher
- Units
- 1
- Hours
- 48-54 hours lab
This course is a review of elementary algebra and geometry skills needed for success in subsequent mathematics courses. Students receive instruction and academic support in mathematics concepts, arithmetic operations, algebraic expressions, mathematical properties, and their application to elementary algebra- and geometry-specific mathematical problems. This course is designed for students who need to refresh their elementary algebra and geometry skills or need additional support in subsequent mathematics courses.
MATH 15C Intermediate Algebra and Geometry Refresher
- Units
- 1
- Hours
- 48-54 hours lab
This course is a review of intermediate algebra and geometry skills needed for success in subsequent mathematics courses. Students receive instruction and academic support in mathematics concepts, arithmetic operations, algebraic expressions, mathematical properties, and their application to intermediate algebra- and geometry-specific mathematical problems. This course is designed for students who need to refresh their intermediate algebra and geometry skills or need additional support in subsequent mathematics courses.
MATH 15D Geometry Refresher
- Units
- 1
- Hours
- 48-54 hours lab
This course is a review of geometry skills needed for success in subsequent mathematics courses. Students receive instruction and academic support in geometric shapes such as triangles, circles, and quadrilaterals; unit conversions; and calculations of perimeter, area, and volume. This course is designed for students who need to refresh their geometry skills or need additional support in subsequent mathematics courses.
MATH 15E Trigonometry Refresher
- Units
- 1
- Hours
- 48-54 hours lab
This course is a review of trigonometry skills needed for success in subsequent mathematics courses. Students receive instruction and academic support in angle concepts; trigonometric functions, identities, and equations; vectors; complex numbers; and application problems. This course is designed for students who need to refresh their trigonometry skills or need additional support in subsequent mathematics courses.
MATH 15F College Algebra Refresher
- Units
- 1
- Hours
- 48-54 hours lab
This course is a review of college algebra skills needed for success in subsequent mathematics courses. Students receive instruction and academic support in linear, polynomial, exponential, logarithmic, and other functions; non-linear inequalities; matrices; systems of equations; and linear programming. This course is designed for students who need to refresh their college algebra skills or need additional support in subsequent mathematics courses.
MATH 104 Trigonometry
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- Successful completion of Intermediate Algebra with a grade of C or better or appropriate placement M40 or M50 based on California Title 5 regulations; or students with Milestone M30 must enroll in Mathematics 104X (Mathematics 104 and Mathematics 15D learning community).
This course is a study of the numerical, analytical, and geometric properties of right and oblique triangles, of trigonometric and inverse trigonometric functions, and their applications. The course content includes right angle trigonometry, radian measure, circular functions, graphs of circular functions and their inverses, trigonometric identities, equations involving trigonometric and inverse trigonometric functions, an introduction of the complex plane, vectors and their operations, and the trigonometric form of complex numbers. This course is designed as a preparation for calculus and it is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences.
MATH 116 College and Matrix Algebra
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- Successful completion of Intermediate Algebra with a grade of C or better or appropriate placement Milestone M40 or M50 based on California Title 5 regulations. Students with a milestone M30 must enroll in MATH 116X (Mathematics 116 and Mathematics 15C learning community).
This course is designed to strengthen the algebra skills of students seeking Business or Natural Science degrees who are required to take an applied calculus course. Topics in the course include the theory of functions; graphing functions; exponential and logarithmic functions; solving equations involving algebraic, exponential and logarithmic functions; solving systems of linear equations; matrix algebra; modeling; and applications problems. Analytical reading and problem solving skills are required for success in this course.
MATH 118 Quantitative Reasoning
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- Successful completion of Intermediate Algebra with a grade of C or better or appropriate placement based on California Title 5 regulations.
This course provides students with a solid foundation in mathematical reasoning and critical thinking that can be applied to life-long understanding and appreciation of mathematics throughout life. This course covers material in the fields of logic, problem-solving methods, statistics, probability, linear and exponential functions, and application to consumer finance. This is a general education mathematics course designed for students majoring in the liberal arts. Analytical reading and problem-solving are required for success in this course.
MATH 121 Basic Techniques of Applied Calculus I
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- Successful completion of Intermediate Algebra with a grade of C or better or appropriate placement Milestone M60 based on California Title 5 regulations. Students with a milestone M30 or M50 must enroll in MATH 121X (Mathematics 121 and Mathematics 15F support course).
This course examines the study of calculus using numerical, graphical, and analytical methods to analyze calculus problems encountered in real-world applications in business, natural/life sciences, and social sciences. Topics include limits, derivatives, and integrals of algebraic, exponential, and logarithmic functions, curve sketching, optimization, and areas under and between curves and partial derivatives and optimization of multivariable functions. This is the first course in a sequence of mathematics courses for students intending to major in business, economics, or natural and social sciences.
MATH 122 Basic Techniques of Calculus II
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- MATH 121 with a Grade of "C" or better, or equivalent
This second course in a math sequence covers methods of integration, multivariable functions and optimization problems, differential equations, Taylor series development and application, derivatives and integrals of trigonometric functions, and their usage in solving problems encountered in real-world applications in business, life and social sciences and economics. This course is intended for students majoring in business, natural science, social science and economics.
MATH 141 Precalculus
- Units
- 5
- Hours
- 80 - 90 hours lecture
- Prerequisite
- Successful completion of Trigonometry with a grade of C or better or appropriate placement Milestone M50 based on California Title 5 regulations. Students with a milestone M30 or M40 must enroll in Mathematics 141X (Mathematics 141 and Mathematics 15B learning community).
This course is a study of numerical, analytical, and graphical properties of functions. The course content includes polynomial, rational, irrational, exponential, logarithmic, and trigonometric functions. Additional topics include: inverse functions, complex numbers, polar coordinates, matrices, conic sections, sequences, series and the binomial theorem. This course is designed as a preparation for calculus and is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences.
MATH 150 Calculus with Analytic Geometry I
- Units
- 5
- Hours
- 80 - 90 hours lecture
- Prerequisite
- MATH 141 with a Grade of "C" or better, or equivalent or Milestone M60. Students with a milestone below M60 must enroll in Mathematics 150X (Mathematics 150 and Mathematics 15E learning community).
This course is an introduction to university-level calculus requiring a strong background in algebra and trigonometry. The topics of study include analytic geometry, limits, differentiation and integration of algebraic and transcendental functions, and applications of derivatives and integrals. Emphasis is placed on calculus applications involving motion, optimization, graphing, and applications in the physical and life sciences. This course incorporates the use of technology. Analytical reading and problem solving are strongly emphasized in this course. This course is intended for students majoring in mathematics, computer science, physics, chemistry, engineering, or economics.
MATH 150L Calculus I Laboratory
- Units
- 1
- Hours
- 48-54 hours lab
- Prerequisite
- MATH 141 with a Grade of "C" or better, or equivalent
- Corequisite
- MATH 150
This course is a workshop, project-oriented course dealing with exploration and development of the calculus topics introduced in Calculus and Analytic Geometry I. This course directly supports the calculus lectures by having hands-on, collaborative assignments where technology is strongly incorporated throughout all the in-class assignments. Students work individually and in small groups on explorations and applications thus extending the material presented in an introductory, university-level course. Topics including geometric, analytic and numeric applications of limits, derivatives and integrals as well as calculus applications found in the physical and life sciences. This course is intended for all students currently enrolled in Calculus with Analytic Geometry I.
MATH 151 Calculus with Analytic Geometry II
- Units
- 4
- Hours
- 64 - 72 hours lecture
- Prerequisite
- MATH 150 with a Grade of "C" or better, or equivalent
This is the second course in the calculus and analytic geometry sequence. This course covers more advanced topics in analytic geometry, differentiation and integration of algebraic and transcendental functions, infinite series, Taylor series, and parametric equations. This course also covers a general introduction to the theory and applications of power series, techniques of integration, and functions in polar coordinates, as it serves as a basis for multivariable calculus and differential equations, as well as most upper division courses in mathematics and engineering. This course is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering or economics.
MATH 151L Calculus II Laboratory
- Units
- 1
- Hours
- 48-54 hours lab
- Prerequisite
- MATH 150 with a Grade of "C" or better, or equivalent
- Corequisite
- MATH 151
This course is a workshop, project-oriented lab dealing with exploration and development of the calculus topics introduced in Calculus and Analytic Geometry II. This course directly supports the calculus lectures by having hands-on, collaborative assignments where technology is strongly incorporated throughout all the in-class assignments. Students work individually and in small groups on explorations and applications thus extending the material presented in a university-level course. Topics include integration, first-order separable differential equations, parametric curves, polar coordinates, conic sections, sequences and series, as well as calculus applications found in the physical and life sciences. This course is intended for all students currently enrolled in Calculus with Analytic Geometry II.
MATH 245 Discrete Mathematics
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- MATH 122 with a Grade of "C" or better, or equivalent or MATH 151 with a Grade of "C" or better, or equivalent
- Advisory
- ENGL C1000 with a Grade of "C" or better, or equivalent
This course is an introduction to the theory of discrete mathematics and introduces elementary concepts in logic, set theory, and number theory. The topics covered include propositional and predicate logic, methods of proof, set theory, Boolean algebra, number theory, equivalence and order relations, and functions. This forms a basis for upper division courses in mathematics and computer science, and is intended for the transfer student planning to major in these disciplines.
MATH 252 Calculus with Analytic Geometry III
- Units
- 4
- Hours
- 64 - 72 hours lecture
- Prerequisite
- MATH 151 with a Grade of "C" or better, or equivalent
This course includes the algebra and geometry of 2 and 3 dimensional Euclidean vectors, the algebra and calculus of multivariable functions including composition of functions, limits, continuity, partial differentiation, gradients, higher order derivatives, the chain rule, constrained and unconstrained optimization including Lagrange's theorem, multiple integrals, integrals over paths and surfaces, and integral theorems of vector analysis. This course is intended as a general introduction to the theory and applications of multivariable calculus. This course is essential for most upper division courses in mathematics and forms part of the foundation for engineering and physics. The course is intended for the students interested and/or planning to major in mathematics, physics, astronomy, engineering, computer science, physical chemistry, operational research, or economics.
MATH 252L Calculus III Laboratory
- Units
- 1
- Hours
- 48-54 hours lab
- Prerequisite
- MATH 151 with a Grade of "C" or better, or equivalent
- Corequisite
- MATH 252
This course is a workshop, project-oriented lab dealing with exploration and development of the calculus topics introduced in Calculus and Analytic Geometry III. This course directly supports the calculus lectures by having hands-on, collaborative assignments where technology is strongly incorporated throughout all the in-class assignments. Students work individually and in small groups on explorations and applications thus extending the material presented in a university-level course. Topics include lines and planes in 3D-space, quadric surfaces, vectors, optimization, and multiple integrals as well as calculus applications found in the physical and life sciences. This course is intended for all students currently enrolled in Calculus with Analytic Geometry III.
MATH 254 Introduction to Linear Algebra
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- MATH 151 with a Grade of "C" or better, or equivalent
This course serves as an introduction to the theory and applications of elementary linear algebra, and is the basis for most upper division courses in mathematics. The topics covered in this course include matrix algebra, Gaussian Elimination, systems of equations, determinants, Euclidean and general vector spaces, linear transformations, orthogonality and inner product spaces, bases of vector spaces, the Change of Basis Theorem, eigenvalues, eigenvectors, the rank and nullity of matrices and introduction to linear transformations. This course is intended for the transfer student planning to major in mathematics, physics, engineering, computer science, operational research, economics, or other sciences.
MATH 255 Differential Equations
- Units
- 3
- Hours
- 48 - 54 hours lecture
- Prerequisite
- MATH 252 with a Grade of "C" or better, or equivalent and MATH 254 with a Grade of "C" or better, or equivalent
This course covers first order and higher order ordinary differential equations and their applications. Topics include linear first order and higher order equations, homogeneous and nonhomogeneous equations with constant or variable coefficients, and systems of ordinary differential equations. Methods used to solve equations include substitution methods, integrating factors, reduction of order, variation of parameters, power series solutions, and Laplace transforms. This course is an introduction to the theory and applications of differential equations and is the basis for many upper division courses in engineering, physics, and mathematics. It is intended for the transfer student planning to major in mathematics, engineering, operational research, physics, or other physical science subjects.