Contents:
Multivariable Calculus and Mathematica,
with Applications to Geometry and Physics

	Preface	vii
1.	Introduction	1
	Problem Set A: Review of One-Variable Calculus	9
2.	Vectors and Graphics	17
	Problem Set B: Vectors and Graphics	29
3.	Geometry of Curves	35
	Problem Set C: Curves	53
4.	Kinematics	65
	Problem Set D: Kinematics	73
5.	Directional Derivatives	81
	Problem Set E: Directional Derivatives and the Gradient	95
6.	Geometry of Surfaces	103
	Problem Set F: Surfaces	123
7.	Optimization in Several Variables	133
	Problem Set G: Optimization	145
8.	Multiple Integrals	153
	Problem Set H: Multiple Integrals	173
9.	Physical Applications of Vector Calculus	185
	Problem Set I: Physical Applications	197
10.	Mathematica Tips	211
	Glossary	225
	Sample Notebook Solutions	239
	Index	275