| Week | Dates | Section Covered
(Lect.) |
Section Covered
(Disc.) |
Topic | Worksheets |
| 1 | 1/20-1/24 | 12.1
12.6 |
12.2 |
Three-Dimensional Coordinate Systems
Vectors Cylinders and Quadric Surfaces |
Calculus I and II Review |
| 2 | 1/27-1/31 | 12.3
12.4 12.5 |
The Dot Product
The Cross Product Equations of Lines & Planes |
Practice with Vectors (solutions) | |
| 3 | 2/3-2/7 | 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 & Gradient Vector |
Lines and Planes |
| 4 | 2/10-2/14 | 14.7
15.1 |
Maximum and Minimum Values
Double Integrals over Rectangles |
Tangent Planes and Directional Derivatives | |
| 5 | 2/17-2/21 | 15.2
15.3 |
14.8 |
Double Integrals over General Regions
Lagrange Multipliers Double Integrals in Polar Coordinates |
14.8 Lagrange Multipliers Notes (14.8 Solutions) |
| 6 | 2/24-2/28 | N/A
15.6 |
Double Integral Practice
Exam 1 (In discussion, 12.1-12.6, 14.1-14.7 (omit 14.2, 14.5), 15.1-15.3) Triple Integrals in Cartesian Coordinates |
Double Integrals in Polar Coordinates (solutions) | |
| 7 | 3/2-3/6 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
Cartesian Triple Integrals | |
| 8 | 3/9-3/13 | N/A
13.1* 13.2* 13.3* |
15.9 |
Triple Integral Practice
Change of Variables in Multiple Integrals Vector Functions Derivatives & Integrals of Vector Functions Arc Length |
Spherical Triple Integrals |
| 3/14-3/22 | SPRING BREAK
NO CLASS |
||||
| 9 | 3/23-3/27 | 16.2*
16.1* 16.2* |
Line Integrals (Scalar Functions)
Vector Fields Line Integrals (Vector Fields) |
Vector Functions and Parameterized Curves | |
| 10 | 3/30-4/3 | 16.3*
16.4* |
The Fundamental Thm for Line Integrals
Green’s Theorem |
Line Integral Theorems | |
| 11 | 4/6-4/10 | N/A
16.5* |
Line Integral Practice
Exam 2 (Given via HuskyCT, 15.6-15.8, 13.1-13.3, 16.1-16.4) Curl and Divergence |
Exam 2 Practice Problems (solutions) | |
| 12 | 4/13-4/17 | 16.6*
16.7* |
Parametric Surfaces and Their Areas
Surface Integrals (Scalar Functions) |
Curl and Divergence | |
| 13 | 4/20-4/24 | 16.7*
16.9* |
Surface Integrals (Vector Fields)
Divergence Theorem |
Common Parametric Surfaces | |
| 14 | 4/27-5/1 | 16.8*
N/A |
Stokes’ Theorem
Final Exam Review |
Using the Divergence Theorem | |
| 5/4-5/9 | Final exam is cumulative/comprehensive |