| Week | Sections Covered | Topic | Additional Practice Worksheets |
| 1 | 12.1
12.2 12.3 12.4 |
Three-Dimensional Coordinate Systems
Vectors The Dot Product The Cross Product |
Calculus I and II Review |
| 2 | 12.5
12.6 |
Equations of Lines & Planes
Cylinders and Quadric Surfaces |
Understanding Surfaces |
| 3 | 14.1
14.3 14.4 14.5 |
Functions of Several Variables
Partial Derivatives Tangent Planes and Linear Approximation The Chain Rule |
Lines and Planes |
| 4 | 14.6
14.7 14.8 |
Directional Derivatives & the Gradient Vector
Maximum and Minimum Values Lagrange Multipliers |
Tangent Planes and Directional Derivatives |
| 5 | EXAM 1
15.1 15.2 |
Covers Ch 12 and 14, Wednesday during discussion
Double Integrals over Rectangles Double Integrals over General Regions |
Double Integrals and Volume |
| 6 | 15.3
15.6 |
Double Integrals in Polar Coordinates
Triple Integrals in Cartesian Coordinates |
Double Integrals in Polar Coordinates (solutions) |
| 7 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cylindrical Triple Integrals |
| 8 | 15.9 | Change of Variables in Multiple Integrals | 15.9 Change of Variables Notes (15.9 solutions) |
| 9 | EXAM 2
13.1 13.2 13.3 |
Covers Ch 14 and 15
Vector Functions Derivatives & Integrals of Vector Functions Arc Length |
Vector Functions and Parameterized Curves |
| 10 | 16.2
16.1 16.2 |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Line Integrals |
| 11 | 16.3
16.4 |
The Fundamental Thm for Line Integrals
Green’s Theorem |
Line Integral Theorems |
| 12 | 16.5
16.6 |
Curl and Divergence
Parametric Surfaces and Their Areas |
Curl and Divergence |
| — | THANKSGIVING BREAK | ||
| 13 | EXAM 3
16.7 16.8 |
Covers Ch 15, 13 and 16.1-6
Surface Integrals (Scalar and Vector Functions) Stokes’ Theorem |
Line Integrals vs. Surface Integrals.pdf |
| 14 | 16.9 | Divergence Theorem | Using the Divergence Theorem |
| Finals Week | Final Portfolio Due Monday 12/12 |