| Week | Dates | Section(s) Covered
(Lecture) |
Section(s) Covered
(Discussion) |
Topic | Worksheets |
| 1 | Jan 16-19 | 12.1
12.6 |
Three-Dimensional Coordinate Systems
Cylinders and Quadric Surfaces |
Calculus Review Worksheet
|
|
| 2 | Jan 22-26 |
12.3 12.4 12.5 |
12.2
|
Vectors
The Dot Product The Cross Product Equations of Lines & Planes |
Guided Vectors Notes (solutions)
Guided Dot and Cross Product Notes (solutions) Practice with Vectors Worksheet (not graded) (solutions) |
| 3 | Jan 29-Feb 2 | 14.1
14.3
14.4 14.6 |
14.5 |
Functions of Several Variables
Partial Derivatives The Chain Rule Tangent Planes and Linear Approximation Directional Derivatives & the Gradient Vector |
Lines and Planes Worksheet |
| 4 | Feb 5-9 | 14.7
15.1 |
Maximum and Minimum Values
Double Integrals over Rectangles |
Tangent Planes and Directional Derivatives Worksheet | |
| 5 | Feb 12-16 | 15.2
15.3 |
Double Integrals over General Regions
Double Integrals in Polar Coordinates |
Chapter 14 Worksheet | |
| 6 | Feb 19-23 | 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 | Feb 26-Mar 2 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cartesian Triple Integrals Worksheet | |
| 8 | Mar 5-9 | 15.6-15.8
13.1 13.2 13.3 |
Triple Integrals Review
Vector Functions Derivatives and Integrals of Vector Functions Arc Length |
Spherical Triple Integrals Worksheet | |
| Mar 10-18 | SPRING BREAK
NO CLASS |
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| 9 | Mar 19-23 | 16.2
16.1 16.2 |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Vector Functions Worksheet | |
| 10 | Mar 26-30 | 16.3
16.4 |
The Fundamental Theorem for Line Integrals
Green’s Theorem |
Line Integral Theorems Worksheet | |
| 11 | Apr 2-6 | 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 |
Practice Exam 2 (solutions) | |
| 12 | Apr 9-13 | 16.6
16.7 |
Parametric Surfaces and Their Areas
Surface Integrals (Scalar Functions) |
Curl and Divergence Worksheet
|
|
| 13 | Apr 16-20 | 16.7
16.9 |
Surface Integrals (Vector Fields)
Divergence Theorem |
Parametric Surfaces Worksheet | |
| 14 | Apr 23-27 | 16.8
N/A |
Stokes’ Theorem
Final Exam Review |
Divergence Theorem Worksheet | |
| Apr 30-May 5 | Final exam is cumulative |