The Mathematics Department at Santa Barbara City College offers a broad curriculum to meet the needs of students with a wide variety of goals. It offers a standard college-level sequence in single and multivariable calculus, linear algebra, and differential equations for freshman and sophomore students who plan to transfer to four-year colleges or universities. In addition, the department offers courses in statistics and calculus for business, biological sciences and social science majors.
The department also serves students who want to remedy their high school mathematics background deficiencies as well as students who are returning to the classroom after a period away from school. The department provides a complete pre-calculus program, including elementary algebra, intermediate algebra, college algebra, and trigonometry for those who wish to review old or gain new mathematical skills.
Through its Basic Math and Pre-Algebra courses, the department provides an opportunity for students to refresh their arithmetic skills in order to participate in other educational or vocational endeavours.
In all of the department's course offerings, there is a strong commitment to training students in analytical and logical thinking skills as part of a problem solving attitude which can be transferred outside a formal classroom setting.
Students who successfully complete the course sequence required to obtain the Associate of Science Degree in Mathematics will be prepared to continue their studies at transfer institutions in Mathematics, Physics, Engineering, Chemistry, Life and Social Sciences, Computer Science, and Economics.
Students majoring in mathematics will:
1. Use symbolic, graphical, numerical, and written representations to describe mathematical ideas.
2. Use mathematical reasoning to solve problems and apply a variety of problem solving approaches to find and interpret solutions.
3. Use mathematics to model and solve problems in the sciences.
4. Use appropriate technology to enhance their mathematical thinking and understanding, solve mathematical problems, and interpret their results.
5. Use the language and notation of differential and integral calculus correctly, and use appropriate style and format in written work.
6. Recognize the roles of definitions, axioms and theorems, and identify and construct valid deductive arguments.