| Week | Dates | Section(s) Covered
(In Lecture) |
Section(s) Covered
(In Discussion) |
Topic | Worksheets |
| 1 | Jan 16-20 | 12.1
12.6 |
12.2
|
Three-Dimensional Coordinate Systems
Vectors Cylinders and Quadric Surfaces |
Calculus Review Worksheet |
| 2 | Jan 23-27 |
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 | Jan 30-Feb 3 | 14.4
14.6 |
14.5
|
Tangent Planes and Linear Approximation
The Chain Rule Directional Derivatives and the Gradient Vector |
Lines and Planes Worksheet |
| 4 | Feb 6-10 | 14.7 | Maximum and Minimum Values | Tangent Planes and Directional Derivatives Worksheet | |
| 5 | Feb 13-17 | 15.1
15.2 |
|
Double Integrals over Rectangles
Double Integrals over General Regions |
Partial Derivatives Review Worksheet (not for credit) (solutions) |
| 6 | Feb 20-24 | 15.3 | Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3, 14.4, 14.6, 14.7, 15.1-15.2)
Double Integrals in Polar Coordinates |
||
| 7 | Feb 27-Mar 3 | 15.6
15.7 |
Triple Integrals in Cartesian Coordinates
Triple Integrals in Cylindrical Coordinates |
Polar Double Integrals Worksheet | |
| 8 | Mar 6-10 | 15.8
15.6-15.8 |
Triple Integrals in Spherical Coordinates
Triple Integrals Review |
Cylindrical Triple Integrals Worksheet | |
| SPRING BREAK- NO CLASS | |||||
| 9 | Mar 20-24 | 13.1
13.2 13.3
16.1 |
Vector Functions
Derivatives and Integrals of Vector Functions Arc Length Vector Fields |
Vector Functions Worksheet | |
| 10 | Mar 27-31 | 16.2
16.3 |
Line Integrals
The Fundamental Theorem for Line Integrals |
Line Integrals Worksheet | |
| 11 | Apr 3-7 | 16.4 | Exam 2 (In discussion, 15.3, 15.6-15.8, 13.1-13.3, 16.1-16.3)
Green’s Theorem |
||
| 12 | Apr 10-14 | 16.5
16.6 |
Curl and Divergence
Parametric Surfaces and Their Areas |
Line Integral Theorems Worksheet | |
| 13 | Apr 17-21 | 16.7
16.9 |
Surface Integrals
Divergence Theorem |
Parametric Surfaces Worksheet | |
| 14 | Apr 24-28 | 16.8
|
Stokes’ Theorem
Final Exam Review |
Divergence Theorem Worksheet | |
| May 1-May 6 | Final exam is cumulative |