| Week | Dates | Section Covered
(Lect.) |
Section Covered
(Disc.) |
Topic | Worksheets |
| 1 | Jan 22-25 | 12.1
12.6 |
12.2 |
Three-Dimensional Coordinate Systems
Vectors Cylinders and Quadric Surfaces |
Calculus I and II Review
Guided Vectors Notes (solutions) Note: Example 3 should have x-component -2-0=-2, not -3. |
| 2 | Jan 28-Feb 1 |
12.5 14.1 14.3 |
12.3
12.4 |
The Dot Product
The Cross Product Equations of Lines & Planes Functions of Several Variables Partial Derivatives |
Guided Dot and Cross Product Notes (solutions) |
| 3 | Feb 4-8 | 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 | Feb 11-15 | N/A
15.1 |
Chapter 14 Review
Double Integrals over Rectangles |
Tangent Planes and Directional Derivatives | |
| 5 | Feb 18-22 | 15.2
15.3 |
14.8 |
Double Integrals over General Regions
Lagrange Multipliers Double Integrals in Polar Coordinates |
Guided Lagrange Multipliers Notes (solutions) |
| 6 | Feb 25-Mar 1 | N/A
15.6 |
Exam 1 Review
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) | |
| 7 | Mar 4-8 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cartesian Triple Integrals | |
| 8 | Mar 11-15 | N/A
13.1 13.2 13.3 |
15.9 |
Triple Integrals Review
Change of Variables in Multiple Integrals Vector Functions Derivatives & Integrals of Vector Functions Arc Length |
Spherical Triple Integrals |
| Mar 18-22 | SPRING BREAK
NO CLASS |
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| 9 | Mar 25-29 | 16.2
16.1 16.2 |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Vector Functions and Parameterized Curves | |
| 10 | Apr 1-5 | 16.3
16.4 |
The Fundamental Theorem for Line Integrals
Green’s Theorem |
Line Integral Theorems | |
| 11 | Apr 8-12 | N/A
16.5 |
Exam 2 Review
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 | Apr 15-19 | 16.6
16.7 |
Parametric Surfaces and Their Areas
Surface Integrals (Scalar Functions) |
Curl and Divergence | |
| 13 | Apr 22-26 | 16.7
16.9 |
Surface Integrals (Vector Fields)
Divergence Theorem |
Common Parametric Surfaces | |
| 14 | Apr 29-May 3 | 16.8
N/A |
Stokes’ Theorem
Final Exam Review |
Using the Divergence Theorem | |
| May 6-11 | Final exam is cumulative |