Need to Review Calculus 1 & 2 (1131/1132)?
A Few Useful Links:
Paul’s Online Math Notes, Calculus III
3D Function Grapher (also does Parametric Surfaces!)
Learning Activities, By Week:
Week  Section  Topic  Learning Activities  Assessments 
1  12.1  ThreeDimensional Coordinate Systems  Visualizing the Octants  
12.6  Cylinders and Quadric Surfaces  Quadric Surfaces  Understanding Surfaces Worksheet (Week 2)  
12.2  Vectors  Visualizing Vectors in 3D  Notes on Vectors (Week 1, not collected)  
12.3  The Dot Product  Dot Products in 3D
Direction Angles (*useful application) Projections (*useful application) 
Notes on the Dot and Cross Product (Week 1, not collected)  
12.4  The Cross Product  Cross Products
Volume of a Parallelepiped (*useful application) 
Practice with Vectors Worksheet (Week 2)  
2  12.5  Equations of Lines & Planes  Line in 3D (static) vs Line in 3D (variable)  Lines and Planes Worksheet (Week 3) 
14.1  Functions of Several Variables  A Gallery of Examples  
14.3  Partial Derivatives  Cross Sections  Partial Derivatives and Tangent Planes Worksheet (Week 5)  
3  14.2  Limits and Continuity  Limits Handout (Week 3)  
14.4  Tangent Planes and Linear Approximation  Linear Approximation  
14.5  The Chain Rule  Notes on the Chain Rule (Week 3, notes not collected but exercises will be)  
14.6 
Directional Derivatives and the Gradient Vector  Directional Derivatives Video  
4  Exam 1  Practice Exam 1 and Solutions  
14.7  Maximum and Minimum Values  Max and Min Video  Notes on Absolute Maxima and Minima (Week 5, notes not collected but exercises will be)  
5  14.8  Lagrange Multipliers  Absolute Max/Min Video  
15.1  Double Integrals over Rectangles  Double Integrals over Rectangles Video  Double Integrals and Volume Worksheet (Week 6)  
15.2  Double Integrals over General Regions  Double Integrals over General Regions Video  
6  15.3  Double Integrals in Polar Coordinates  
15.6  Triple Integrals  Surface Area Video (*helpful for Chapter 16)  Triple Integrals Worksheet (Week 7)  
15.9  Change of Variables in Multiple Integrals  Change of Variables Video  Notes on Change of Variables (Week 6, notes not collected but exercises will be)  
7  15.7  Triple Integrals in Cylindrical Coordinates  Visualizing Cylindrical Coordinates  
15.8  Triple Integrals in Spherical Coordinates  Visualizing Spherical Coordinates  
8  Exam 2  Practice Exam 2 and Solutions  
13.1  Vector Functions  A Space Curve  Vector Functions and Parameterized Curves (Week 9) Application of Vector Functions (Week 9) 

9  13.2

Derivatives and Integrals of Vector Functions  
13.3  Arc Length  Linear Approximation of Arc Length  
16.1  Vector Fields  Simple 2D Vector Field  Vector Fields (Week 10)  
16.2  Line Integrals  Line Integrals (Week 10)  
10  16.2  Line Integrals (continued)  
16.3  The Fundamental Theorem for Line Integrals  Fundamental Theorem for Line Integrals Video  Line Integral Theorem Practice (Week 11)  
11  16.4  Green’s Theorem  Green’s Theorem Video  
16.5  Curl and Divergence  
12  Exam 3  Practice Exam 3 and Solutions  
16.6  Parametric Surfaces and Their Areas  A Gallery of Examples  Common Parametric Surfaces (Week 13)  
13  16.7  Surface Integrals  Line Integrals vs. Surface Integrals (Week 13)  
16.9  Divergence Theorem  Using the Divergence Theorem (Week 14)  
14  16.8  Stokes’ Theorem  
Final Exam Review  Review for Final Exam and Solutions 