| Week | Dates | Section Covered
(Lect.) |
Section Covered
(Disc.) |
Topic | Worksheets |
| 1 | Aug 26-30 | 12.1
12.6 |
12.2
12.3 12.4 |
Three-Dimensional Coordinate Systems
Vectors Cylinders and Quadric Surfaces The Dot Product The Cross Product |
Calculus I and II Review
Guided Vectors Notes (solutions) |
| 2 | Sept 2-6 | 12.5
14.1 14.3 |
Equations of Lines & Planes
Functions of Several Variables Partial Derivatives |
Understanding Surfaces | |
| 3 | Sept 9-13 | 14.4
14.6 14.7 |
14.5 |
Tangent Planes and Linear Approximation
The Chain Rule Directional Derivatives & Gradient Vector Maximum and Minimum Values |
Lines and Planes |
| 4 | Sept 16-20 | N/A
15.1 |
Chapter 14 Practice
Double Integrals over Rectangles |
Tangent Planes and Directional Derivatives | |
| 5 | Sept 23-27 | 15.2
15.3 |
14.8 |
Double Integrals over General Regions
Lagrange Multipliers Double Integrals in Polar Coordinates |
Guided Lagrange Multipliers Notes (solutions) |
| 6 | Sept 30-Oct 4 | N/A
15.6 |
Double Integral Practice
Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3-14.8, 15.1-15.3) Triple Integrals in Cartesian Coordinates |
Double Integrals in Polar Coordinates (solutions)
Exam 1 Practice Problems (solutions) Exam 1 Things to Know *This is not an exhaustive list! |
|
| 7 | Oct 7-11 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cartesian Triple Integrals | |
| 8 | Oct 14-18 | N/A
13.1 13.2 13.3 |
15.9 |
Triple Integral Practice
Change of Variables in Multiple Integrals Vector Functions Derivatives & Integrals of Vector Functions Arc Length |
Spherical Triple Integrals |
| 9 | Oct 21-25 | 16.2
16.1 16.2 |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Vector Functions and Parameterized Curves | |
| 10 | Oct 28-Nov 1 | 16.3
16.4 |
The Fundamental Theorem for Line Integrals
Green’s Theorem |
Line Integral Theorems | |
| 11 | Nov 4-8 | N/A
16.5 |
Line Integral Practice
Exam 2 (In discussion, 15.6-15.9, 13.1-13.3, 16.1-16.4) Curl and Divergence |
Exam 2 Practice Problems (solutions) | |
| 12 | Nov 11-15 | 16.6
16.7 |
Parametric Surfaces and Their Areas
Surface Integrals (Scalar Functions) |
Curl and Divergence | |
| 13 | Nov 18-22 | 16.7
16.9 |
Surface Integrals (Vector Fields)
Divergence Theorem |
Common Parametric Surfaces | |
| Nov 23-Dec 1 | THANKSGIVING BREAK
NO CLASS |
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| 14 | Dec 2-6 | 16.8
N/A |
Stokes’ Theorem
Final Exam Review |
Using the Divergence Theorem | |
| Dec 9-15 | Final exam is cumulative |