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.)
Enrollment Requirements
Prerequisite(s): MATH 19B or MATH 20B or AP calculus BC exam score of 4 or 5.. Prerequisite waived for non-UCSC students.
Class Notes
This course is completely online. In summer, prerequisites are lifted for visiting students.
After enrolling in 23A, contact summer@ucsc.edu if you need an add code for 23B in Session 2.