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.. Prerequisite waived for non-UCSC students.

This course is completely online. After enrolling in 23A in Session 1, contact summer@ucsc.edu if you need an add code for 23B in Session 2. Visiting students - prerequisites are lifted in summer. It is in your best interest to have passed equivalent prerequisite courses.

Days & Times	Room	Instructor	Meeting Dates
	Online	Tromba,A.J. Bauerle,F. Chen,J.	06/24/19 - 07/26/19