Mathematics
Associate of Science (AS) Mathematics · Santa Barbara City College · 2026-2027 Catalog
Overview
The Mathematics department strives to provide our students with the educational background necessary to pursue a successful career and to successfully transition into a baccalaureate institution. Each year, the list of careers demanding familiarity with basic mathematical skills grows. Environmental sciences, architecture, business management, nursing, dentistry, computer programming, electronics, forestry management, psychology and photography represent only a small sample from this list.
Requirements
Associate Degree Graduation Requirements
Complete all of the following:
- All Major Requirements listed below with a “C” or better or “P” in each course (at least 20% of the major requirements must be completed through SBCC).
- One of the following General Education options:
- OPTION 1: SBCC General Education pattern OR
- OPTION 2: Cal-GETC pattern
- A minimum of 60 semester units of degree-applicable college credit (SBCC courses numbered 100 and higher and C1000 and higher).
- Maintain a cumulative GPA of 2.0 or higher in degree-applicable coursework.
- A minimum of 12 units through SBCC.
| Course | Title | Units |
|---|---|---|
| Major Requirements | ||
| Required Core | ||
| MATH 150 | Calculus with Analytic Geometry I | 5 |
| MATH 160 | Calculus with Analytic Geometry II | 5 |
| MATH 200 | Multivariable Calculus | 4 |
| MATH 210 | Linear Algebra | 4 |
| MATH 220 | Differential Equations | 4 |
| List A - Complete two courses from the following: | 6-10 | |
| CHEM 155 | General Chemistry I | |
| CS 104 | Introduction to Programming | |
| CS 105 | Programming Methodology | |
| CS 106 | Data Structures and Algorithms | |
| CS 107 | Computer Architecture and Organization | |
| CS 108 | Discrete Structures | |
| CS 133 | Programming for Engineers | |
| CS 137 | C Programming | |
| CS 140 | Object-Oriented Programming Using C++ | |
| MATH 180 | Transition to Advanced Mathematics | |
| PHYS 121 | Mechanics Of Solids And Fluids | |
| PHYS 122 | Electricity and Magnetism | |
| PHYS 123 | Heat, Light and Modern Physics | |
| Total Units | 28.00-32.00 | |
Learning Outcomes
- Use symbolic, graphical, numerical and written representations to describe mathematical ideas.
- Use mathematical reasoning to solve problems and apply a variety of problem-solving approaches to find and interpret solutions.
- Use mathematics to model and solve problems in the sciences.
- Use appropriate technology to enhance mathematical thinking and understanding, solve mathematical problems, and interpret their results.
- Use the language and notation of differential and integral calculus correctly and use appropriate style and format in written work.
- Recognize the roles of definitions, axioms and theorems, and identify and construct valid deductive arguments.
Recommended Sequence
Make an appointment with your SBCC academic counselor through Starfish to create a Student Education Plan that reflects a recommended course sequence for this program that is tailored to your individual needs.
How to schedule an Academic Counseling appointment.