Amanda Crawford

Week	Date	Worksheet	Solutions
1	06/05/12	Vectors	solutions
	06/07/12	Dot & Cross Products and Projections	solutions
2	06/12/12	Lines and Planes in 3D	solutions
	06/14/12	Characteristics of 3D Curves and Quadratic Surfaces	solutions
3	06/19/12	Limits and Continuity	solutions
	06/21/12	Tangent Planes, Linear Approximations and the Chain Rule	solutions
4	06/26/12	Directional Derivatives, Gradient and Maxima/Minimia	solutions
	06/28/12	Lagrange Multipliers and Taylor Series	solutions
5	07/03/12	Double Integrals
	07/05/12	Double Integrals	solutions
6	07/10/12	Triple Integrals in Cartesian	solutions
	07/12/12	Triple Integrals in Cylindrical & Spherical and Change of Variables	solutions
7	07/17/12	Line Integrals, Flow, Flux, Conservative Fields	solutions
	07/19/12	None
8	07/24/12	Surface Integrals and Stoke's Theorem	solutions
	07/26/12	Stokes Theorem and the Divergence Theorem	solutions

Although I have aimed to include all important ideas/topics, these notes are not guarenteed to cover all class/exam material:

Chapter 10 (note: some pages may be out of order...) - Vectors and the Geometry of Space

Chapter 11 - Partial Derivatives

Chapter 12 - Multiple Integrals

Chapter 13 (so far only 13.1-13.7) - Vector Calculus

Instructions on downloading Mathematica:: http://sitelic.colorado.edu/mathematica/
General Information about LaTeX:: http://www.latex-project.org/
LaTeX Symbols and Formatting PDF
MIT OpenCourseWare: This is a collection of course material from past MIT classes. Some classes, like Multivariable Calculus (Calc III at CU), have video lectures which are a great resource. Most classes have lecture notes; some note sets are good, others may not follow your class that closely or have other disadvantages.

last updated: May 29, 2012