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.

UCSC Students - if you completed the prerequisites but get an error message, email your proof of prerequisite material to the department at mathadvising@ucsc.edu for approval to enroll.
Newly Admitted UCSC Students - See next steps at https://summer.ucsc.edu/summer-edge/summer-math.html
If you need to take the prerequisite in Session 1, enroll in that course first, then email summer@ucsc.edu for a permission number to enroll in this course.
Visiting Students - prerequisite review is waived in summer. It is in your best interest to take equivalent prerequisite courses.

Days & Times	Room	Instructor	Meeting Dates
	Online	Tromba,A.J. Bauerle,F. Lin,L.	07/31/23 - 09/01/23