MathematicsMATH 23A Vector Calculus

Vectors in n-dimensional Euclidean space. The inner and cross products. The derivative of functions from n-dimensional to m-dimensional Euclidean space is studied as a linear transformation having matrix representation. Paths in 3-dimensions, arc length, vector differential calculus, Taylor's theorem in several variables, extrema of real-valued functions, constrained extrema and Lagrange multipliers, the implicit function theorem, some applications. Students cannot receive credit for this course and course 22. (Formerly Multivariable Calculus.)

Requirements

Prerequisite(s): MATH 19B or MATH 20B or AP calculus BC exam score of 4 or 5.

Credits

5

General Education Code

MF

Quarter offered

Fall, Winter, Spring, Summer