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 
1  12.1  ThreeDimensional Coordinate Systems  Visualizing the Octants 
12.6  Cylinders and Quadric Surfaces  Quadric Surfaces  
12.2  Vectors  Visualizing Vectors in 3D  
12.3  The Dot Product  Dot Products in 3D
Direction Angles (*useful application) Projections (*useful application) 

12.4  The Cross Product  Cross Products
Volume of a Parallelepiped (*useful application) 

2  12.5  Equations of Lines & Planes  Line in 3D (static) vs Line in 3D (variable) 
14.1  Functions of Several Variables  A Gallery of Examples  
14.3  Partial Derivatives  Cross Sections  
3  14.2  Limits and Continuity
(*interesting topic, neither covered in class nor on exams) 

14.4  Tangent Planes and Linear Approximation  Linear Approximation  
14.5  The Chain Rule  
14.6  Directional Derivatives and the Gradient Vector  Directional Derivatives Video  
4  14.7  Maximum and Minimum Values  Max and Min Video 
14.8  Lagrange Multipliers
(*useful application, neither covered in class nor on exams) 
Absolute Max/Min Video  
15.1  Double Integrals over Rectangles  Double Integrals over Rectangles Video


5  15.2  Double Integrals over General Regions  Double Integrals over General Regions Video 
15.3  Double Integrals in Polar Coordinates  
6  Exam 1  Practice Exam 1 (solutions)  
15.6  Triple Integrals  Modeling Solids Handout (PlayDoh!)
Surface Area Video (*helpful for Chapter 16) 

15.9  Change of Variables in Multiple Integrals
(*helpful and interesting, neither covered in class nor on exams) 
Change of Variables Video  
7  15.7  Triple Integrals in Cylindrical Coordinates  Visualizing Cylindrical Coordinates 
15.8  Triple Integrals in Spherical Coordinates  Visualizing Spherical Coordinates
Basic Shapes in Spherical Coordinates 

8  13.1  Vector Functions  A Space Curve 
13.2

Derivatives and Integrals of Vector Functions  
13.3  Arc Length  Linear Approximation of Arc Length  
9  16.2  Line Integrals (Scalar Functions)  
16.1  Vector Fields  Simple 2D Vector Field  
16.2  Line Integrals (Vector Fields)  
10  16.3  The Fundamental Theorem for Line Integrals  Fundamental Theorem for Line Integrals Video 
16.4  Green’s Theorem  Green’s Theorem Video
Summary of Line Integrals (methods and deciding what to use) 

11  Exam 2  Practice Exam 2 (solutions)  
16.5  Curl and Divergence  
12  16.6  Parametric Surfaces and Their Areas  A Gallery of Examples 
16.7  Surface Integrals (Scalar Functions)  
13  16.7  Surface Integrals (Vector Fields)  
16.9  Divergence Theorem  
14  16.8  Stokes’ Theorem  Summary of Surface Integrals (decisionmaking and methods) 
Final Exam Review 