Prerequisites: MATH 5a and permission of the instructor, placement by examination, or any mathematics course numbered 10 or above. Students may take MATH 15a or 22a for credit, but not both.
Matrices, determinants, linear equations, vector spaces, eigenvalues, quadratic forms, linear programming. Emphasis on techniques and applications. Usually offered every semester.
Prerequisites: MATH 10b and MATH 15a, or placement by examination. Students may take Math 20a or 22b for credit, but not both. Students may not take MATH 10a or 10b or 15a concurrently with MATH 20a.
Among the topics treated are functions of several variables, vector-valued functions, partial derivatives and multiple integrals, extremum problems, line and surface integrals, Green's and Stokes's theorems. Emphasis on techniques and applications. Usually offered every semester.