by Dan Sloughter, Furman University
Chapter 1: Geometry of \(\mathbb{R}^n\)
Introduction to \(\mathbb{R}^n\)
Lines, planes, and hyperplanes
Chapter 2: Functions from \(\mathbb{R}\) to \(\mathbb{R}^n\)
Chapter 3: Functions from \(\mathbb{R}^n\) to \(\mathbb{R}\)
Geometry, limits, and continuity
Directional derivatives and the gradient
Change of variables in definite integrals
Chapter 4: Functions from \(\mathbb{R}^m\) to \(\mathbb{R}^n\)
Geometry, limits, and continuity
Answers for selected problems are available here.
A concatenated version (single download) is available here. This file is approximately 2.1 MB.
Send e-mail to Dan Sloughter to report any errors.
This work is licensed under a Creative Commons License.