Week  Dates  Section(s) Covered
(In Lecture) 
Section(s) Covered
(In Discussion) 
Topic 
1  Aug 29Sept 2  12.1
12.6 
12.2 12.3 12.4 
ThreeDimensional Coordinate Systems
Vectors The Dot Product The Cross Product Cylinders and Quadric Surfaces 
2  Sept 59  12.5
14.1 14.3 
Equations of Lines & Planes
Functions of Several Variables Partial Derivatives 

3  Sept 1216 
14.4
14.6 
14.2
14.5

Limits and Continuity
Tangent Planes and Linear Approximation The Chain Rule Directional Derivatives and the Gradient Vector 
4  Sept 1923 
14.7 
Practice Exam 1 (In lecture)
Exam 1 (In discussion, covers 12.112.6, 14.1, 14.3, 14.4, 14.6) Maximum and Minimum Values 

5  Sept 2630 
15.1 15.2 
14.8

Lagrange Multipliers
Double Integrals over Rectangles Double Integrals over General Regions 
6  Oct 37  15.3
15.6

15.9 
Double Integrals in Polar Coordinates
Triple Integrals Change of Variables in Multiple Integrals 
7  Oct 1014  15.7
15.8 
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates 

8  Oct 1721 
13.1 
Practice Exam 2 (In lecture)
Exam 2 (In discussion, covers 14.7, 15.115.3, 15.615.8) Vector Functions 

9  Oct 2428  13.2
13.3 16.1 16.2 
Derivatives and Integrals of Vector Functions
Arc Length Vector Fields Line Integrals 

10  Oct 31Nov 4  16.2
16.3 
Line Integrals (continued)
The Fundamental Theorem for Line Integrals 

11  Nov 711  16.4
16.5 
Green’s Theorem
Curl and Divergence 

12  Nov 1418 
16.6 
Practice Exam 3 (In lecture)
Exam 3 (In discussion, covers 13.113.3, 16.116.4) Parametric Surfaces and Their Areas 

THANKSGIVING BREAK NO CLASS  
13  Nov 28Dec 2  16.7
16.9 
Surface Integrals
Divergence Theorem 

14  Dec 59  16.8

Stokes’ Theorem
Final Exam Review 

Dec 1218  Wednesday, Dec 14, 1:003:00 PM
Final exam is cumulative 