MATH 23A — Vector Calculus

Course Creators: Tony Tromba & Frank Bauerle

The course explores the following concepts: vectors in n-dimensional Euclidean space; the inner and cross products; the derivative of functions from n-dimensional to m-dimensional Euclidean space 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.

General education code(s): MF

Prerequisites: Course 19B or 20B or AP calculus BC exam score of 4 or 5

Type of course and Credit: Online, 5 units

Course first offered: Winter 2016

 

Students said about the course:

“The lectures posted were incredibly clear and helpful and allowed me to gain a good understanding of the course material.”

“For an online course, one of the best formats I have seen considering it is difficult to teach math online.”