The pathway below represents an efficient and effective course taking sequence for this program. Individual circumstances might require some changes to this pathway. It is always recommended that you meet with an academic counselor to develop a personalized educational plan.
The courses have been intentionally placed and should be prioritized in
the order
in which they appear. If you are unable to take all the courses in
a semester, you
should prioritize enrolling in the courses in the order below.
Some courses have
been noted as “Appropriate for Intersession” . Should you need (or want) to take
classes
in the summer and/or winter intersessions,
the program recommends these courses as appropriate for the condensed
schedule of
the intersessions.
Some pathways combine a “Certificate of Achievement” and an “Associate
Degree”. If
you are pursuing only the Certificate of Achievement, you are only
required to take
the courses marked “Program Requirement” .
All pathways include at least one “Gateway Course” which introduces you to the program and/or field of study and helps you
decide if you want to continue with this Academic and Career Path.
Most Associate degrees (though not Associate Degrees for Transfer)
require satisfying the SMC Global Citizenship requirement. If the Program
Requirements do not include a “Global Citizenship course” , be sure to select a General Education course that also satisfies Global Citizenship.
Upon successful completion of the Santa Monica College’s AS-T in Mathematics, the student will have a strong academic foundation in the field and be prepared for upper division baccalaureate study. This coursework will satisfy most of the lower-division Mathematics requirements at many institutions at both the University of California and the California State University systems. This degree is intended for students who are interested in the theory of Mathematics and are planning to transfer to a four-year university and majoring in Mathematics, Physics, Engineering, or Computer Science.
Upon completion of the program, students will:
- Upon completion of the program, students will demonstrate an appreciation and understanding of mathematics in order to develop creative and logical solutions to various abstract and practical problems. Furthermore, given a mathematical situation, the student will be able to critically analyze it, determine an appropriate strategy to address it, and implement the strategy to find the solution.
Icon Key
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Gateway Course
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Program Requirement
-
General Education
-
Appropriate for Intersession
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Available Online
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Global Citizenship
Semester 1
14 Units
An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.
- Prerequisite: MATH 20 and
- Prerequisite: MATH 32
- Skills Advisory: Eligibility for ENGL 1
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
This introductory course in rhetoric emphasizes clear, effective written communication and preparation of the research paper.
- Prerequisite: ENGL 21B or
- Prerequisite: ENGL 22
- Prerequisite: ESL 19B or
- Prerequisite: Group A on the Placement Test
- 1A: English Composition
- A2 - Written Communication
- Area IV-A: Language and Rationality (Group A)
This course provides an exploration of intellectual, psychological, social and physical factors that impact lifelong learning, well-being and success. Topics include motivation and self-efficacy; critical thinking, academic integrity and active study strategies; health issues and lifestyle choices; relating to others as a global citizen; written and oral communication; time management; career exploration; and educational planning.
- E - Lifelong Understanding and Self-Development
IGETC Area 4 Course 3 units

Semester 2
14 Units
This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications.
- Prerequisite: MATH 2 or
- Prerequisite: MATH 3 and
- Prerequisite: MATH 4
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
This course helps students to develop their critical thinking and writing skills beyond the level achieved in English 1. The course emphasizes the application of logical reasoning, analysis, and strategies of argumentation in critical thinking and writing, using literature (both fiction and non-fiction) and literary criticism as subject matter.
- Prerequisite: ENGL 1
- 1B: Critical Thinking-English Composition
- 3B: Humanities
- A3 - Critical Thinking
- C2 - Humanities
- Area III: Humanities
US History recommended for CSU
See the full list: IGETC Area 3B Course
IGETC Area 5B Course 3 units
Semester 3
15 Units
This second course in calculus is intended primarily for science, technology, engineering, and mathematics majors. Topics include derivatives and integrals of transcendental functions with mathematical and physical applications, indeterminate forms and improper integrals, infinite sequences and series, and curves, including conic sections, described by parametric equations and polar coordinates.
- Prerequisite: MATH 7
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
PHYSCS 8 or 21 recommended
See the full list: IGETC Area 5C Course
IGETC Area 4 Course 3 units

Transferable Elective Course 3 units
Semester 4
14 Units
Topics include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, Lagrange Multipliers, multiple integrals with applications, vector fields. Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
- Prerequisite: MATH 8
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
IGETC Area 1C Course 3 units
POL SC 1 recommended
See the full list: IGETC Area 4 Course
Semester 5
9-11 Units
Topics include matrices and linear transformations, abstract vector spaces and subspaces, linear independence and bases, determinants, systems of linear equations, eigenvalues and eigenvectors.
- Prerequisite: MATH 8
- Skills Advisory: Eligibility for English 1
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
This course is intended for computer science, engineering, and mathematics majors. Topics include proof techniques, cardinality of sets, partial orderings and equivalence relations, symbolic logic and valid arguments, permutations and combinations with repetition, and an introduction to graph theory.
- Prerequisite: MATH 8
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
This course is an introduction to ordinary differential equations. Topics include first order equations, linear equations, reduction of order, variation of parameters, spring motion and other applications, Cauchy-Euler equations, power series solutions, Laplace transform, and systems of linear differential equations.
- Prerequisite: MATH 8
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
This course is a calculus-based study of the mechanics of solids and liquids, elastic properties of matter, heat, and wave motion.
- Prerequisite: MATH 7
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
This course is a calculus-based study of the mechanics of rigid bodies, emphasizing Newton’s laws and its applications. This course includes an introduction to fluids. It is designed for engineering, physical science, and computer science majors.
- Prerequisite: MATH 7
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science