**PURPOSE:** This requirement seeks to introduce students to mathematics, both as a pure discipline and as an important tool in problem solving. Mathematics is a basic building block of contemporary society and, over the centuries, has had a particularly profound impact on the social sciences, natural sciences, and technology.

**STUDENT OUTCOMES:** The student should attain three objectives: an appreciation for the applicability of mathematics in a variety of situations; an awareness that mathematics is a living discipline, with many problem-solving techniques beyond numerical computation; and an awareness that in mathematics people can check things for themselves without taking another’s word for it. To support these understandings, the student must demonstrate proficiency in three significant skills: facility with the techniques of mathematics, the ability to apply the mathematical method for solving problems, and the ability to evaluate logical arguments.

**COURSES:** Classes marked with an asterisk (*) have prerequisites. See the Undergraduate Bulletin listings for detailed information on prerequisites. Normally, students not majoring in science-related disciplines do not take mathematics courses with prerequisites.

BUSINESS students must take Mathematics 30 and 31 (Calculus for Business I and II) or Mathematics 11 and 12 (Calculus and Analytic Geometry I and II) to prepare themselves for their program’s emphasis on quantitative methods. The Mathematics 30-31 sequence has business applications and is recommended for most students in the School of Business, unless they expect to take a third quarter of mathematics, in which case they should take Mathematics 11 and 12.

ENGINEERING students satisfy this requirement with courses in the major.

ARTS AND SCIENCES students may be required to take specific courses in mathematics depending on their general areas of interest and major programs.

Students majoring in the social sciences, natural sciences, or mathematics (B.S.), must select two mathematics courses from the following list or from the list in Section 7 page 14. Students in all of the sciences should consult the Undergraduate Bulletin or their academic advisers for the details of this requirement. The minimum of two mathematics courses that mathematics, biology, chemistry, physics, and combined sciences majors are required to take is fulfilled through courses in their degree program.

Those students majoring in humanities or arts (B.A.) must select either two mathematics and one natural science course, with a lab, or one mathematics and two natural science courses, one with a lab, from the following list or from the list in section 7 on page 14.

In general, students in programs with a mathematics course requirement should complete their mathematics courses as early as possible, preferably the fall term of the freshman year. Because mathematics courses depend so much on previously acquired skills, students generally find mathematics easier if they do not take a break between their high school mathematics courses and their required college sequences or between individual courses in the college sequence.

**Mathematics**

4 The Nature of Mathematics

6 Finite Mathematics for Social Science

7 Calculus for Social Science

8 Introduction to Statistics*

11 Calculus and Analytical Geometry I*

12 Calculus and Analytical Geometry II

30 Calculus for Business I

31 Calculus for Business II*

Any other 4 or 5-unit mathematics course for which a student meets the prerequisites, except Mathematics 9, 44, 45, or 100.

CourseAvail lists courses offered in a particular quarter that meet this requirement.