To keep track of due dates and help you keep on track, we highly recommend you make yourself of copy of this Google Doc:
https://docs.google.com/spreadsheets/d/1XKe37tvFDs6foNTTtUBI_RBMPQTikEneFw1ethmYeSo/edit?usp=sharing
(Clicking the link above will take you to the template. Click File then Make a Copy. Save it to your Google Drive and update it throughout the semester.)
| Week | Sections Covered | Topic | Additional Practice Worksheets |
| 1 | 12.1
12.2 |
Three-Dimensional Coordinate Systems
Vectors |
Calculus I and II Review |
| 2 | 12.3
12.4 12.5 12.6 |
The Dot Product
The Cross Product Equations of Lines & Planes Cylinders and Quadric Surfaces |
Practice with Vectors (solutions) |
| 3 | 14.1
14.3 14.4 14.5 |
Functions of Several Variables
Partial Derivatives Tangent Planes and Linear Approximation Directional Derivatives & Gradient Vector |
Lines and Planes |
| 4 | 14.6
14.7 14.8 |
Directional Derivatives & Gradient Vector
Maximum and Minimum Values Lagrange Multipliers |
Tangent Planes and Directional Derivatives |
| 5 | EXAM 1
15.1 15.2
|
Covers Ch 12 and 14, Tuesday during discussion
Double Integrals over Rectangles Double Integrals over General Regions
|
Double Integrals and Volume
|
| 6 | 15.3
15.6 |
Double Integrals in Polar Coordinates
Triple Integrals in Cartesian Coordinates |
Double Integrals in Polar Coordinates (solutions) |
| 7 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cylindrical Triple Integrals |
| 8 | 15.9 | Change of Variables in Multiple Integrals | |
| 9 |
EXAM 2 13.1 13.2 13.3
|
Covers Ch 14 and 15, Tuesday during discussion
Vector Functions Derivatives & Integrals of Vector Functions Arc Length |
Vector Functions and Parameterized Curves |
| 10 | 16.2
16.1 16.2 |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Line Integrals |
| 11 | 16.3
16.4 |
The Fundamental Thm for Line Integrals
Green’s Theorem |
Line Integral Theorems |
| 12 | 16.5
16.6 |
Curl and Divergence
Parametric Surfaces and Their Areas |
Curl and Divergence |
| — | Spring Break | ||
| 13 | EXAM 3
16.7 16.8 |
Covers Ch 15, 13 and 16.1-4 during Tuesday Discussion (option to take Friday before Spring Break) Surface Integrals (Scalar and Vector Functions) Stokes’ Theorem
|
Line Integrals vs. Surface Integrals.pdf |
| 14 | 16.8
16.9 |
Divergence Theorem |
Using the Divergence Theorem |
| Finals Week | Final Portfolio Due Monday 5/3 |