| Week | Dates | Section(s) Covered
(Lecture) |
Section(s) Covered
(Discussion) |
Topic | Worksheets |
| 1 | Aug 27-31 | 12.1
12.6 |
12.2 12.3 12.4 |
Three-Dimensional Coordinate Systems
Cylinders and Quadric Surfaces Vectors The Dot Product The Cross Product |
Calculus Review Worksheet |
| 2 | Sept 3-7 | 12.5
14.1 14.3 |
Equations of Lines & Planes
Functions of Several Variables Partial Derivatives |
Practice with Vectors Worksheet (not graded) (solutions) | |
| 3 | Sept 10-14 | 14.4
14.6
14.7 |
14.5 |
Tangent Planes and Linear Approximation
Directional Derivatives & the Gradient Vector The Chain Rule Maximum and Minimum Values |
Lines and Planes Worksheet |
| 4 | Sept 17-21 | N/A
15.1 |
Chapter 14 Review
Double Integrals over Rectangles |
Chapter 14 Worksheet | |
| 5 | Sept 24-28 | 15.2
15.3 |
14.8 |
Double Integrals over General Regions
Lagrange Multipliers Double Integrals in Polar Coordinates |
Guided Lagrange Multipliers Notes (solutions) |
| 6 | Oct 1-6 | N/A
15.6 |
Exam 1 Review
Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3-14.7, 15.1-15.3) Triple Integrals in Cartesian Coordinates |
Polar Double Integrals Worksheet (for practice; not graded) (solutions) | |
| 7 | Oct 8-12 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cartesian Triple Integrals Worksheet | |
| 8 | Oct 15-19 | 15.6-15.8
13.1 13.2 13.3 |
15.9 |
Triple Integrals Review
Change of Variables Vector Functions Derivatives and Integrals of Vector Functions Arc Length |
Spherical Triple Integrals Worksheet |
| 9 | Oct 22-26 | 16.2
16.1 16.2 |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Vector Functions Worksheet | |
| 10 | Oct 29-Nov 2 | 16.3
16.4 |
The Fundamental Theorem for Line Integrals
Green’s Theorem |
Line Integral Theorems Worksheet | |
| 11 | Nov 5-9 | N/A
16.5 |
Exam 2 Review
Exam 2 (In discussion, 15.6-15.8, 13.1-13.3, 16.1-16.4) Curl and Divergence |
Exam 2 Practice Problems (solutions) | |
| 12 | Nov 12-16 | 16.6
16.7 |
Parametric Surfaces and Their Areas
Surface Integrals (Scalar Functions) |
Curl and Divergence Worksheet
|
|
| THANKSGIVING BREAK
NO CLASS |
|||||
| 13 | Nov 26-30 | 16.7
16.9 |
Surface Integrals (Vector Fields)
Divergence Theorem |
Parametric Surfaces Worksheet | |
| 14 | Dec 3-7 | 16.8
N/A |
Stokes’ Theorem
Final Exam Review |
Divergence Theorem Worksheet | |
| Dec 10-16 | Final exam is cumulative |