Class Detail

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.)

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

UCSC Students - if you need to take the prerequisite in Session 1, enroll in that course first, then email summer@ucsc.edu for a permission code to enroll in this course. Visiting Students - prerequisites are lifted in summer. It is in your best interest to take equivalent prerequisite courses. Contact summer@ucsc.edu for a permission code to enroll. This course is completely online.

Days & Times	Room	Instructor	Meeting Dates
	Online	Tromba,A.J. Bauerle,F. Lin,L.	07/27/20 - 08/28/20