RES.18-007 | Fall 2011 | Undergraduate

Calculus Revisited: Multivariable Calculus

Part II: Vector Calculus

In the Single Variable Calculus course, Professor Gross discussed the calculus of a single real variable in which the domain of a function was a subset of the real numbers. Geometrically speaking, the domain of a function was a subset of the x-axis. In this part of the course, he generalizes the domain as being a subset of either the two-dimensional xy-plane and/or the three-dimensional xyz-space. Now, in the language of vectors, a function maps 2 and 3 dimensional vectors into the set of real numbers. He then uses these functions to show how we compute the velocity and acceleration of an object moving in space.

Course Info

As Taught In
Fall 2011
Learning Resource Types
Lecture Videos
Lecture Notes
Problem Sets with Solutions