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 MATH 22.

Prerequisite(s): MATH 19B or MATH 20B or AP calculus BC exam score of 4 or 5.. Prerequisite waived for non-UCSC students.

If the prerequisite of this course is in Session 1, enroll in that first. Then email summer@ucsc.edu for a permission number for this course.. UCSC Students - if you completed the prerequisites but get an error message, contact department for approval to enroll - mathadvising@ucsc.edu. Provide proof of prerequisite material. Newly Admitted UCSC Students - See next steps at https://summer.ucsc.edu/summer-edge/summer-math.html Visiting Students - prerequisite review is waived in summer. It is in your best interest to take equivalent prerequisite courses. If you cannot add the class, contact summer@ucsc.edu.

Days & Times	Room	Instructor	Meeting Dates
	Online	Lin,L. Bauerle,F. Tromba,A.J.	07/25/22 - 08/26/22