Math 2110 Outline

Week Dates Section(s) Covered

(In Lecture)

Section(s) Covered

(In Discussion)

Topic
1 Aug 29-Sept 2 12.1

 

 

 

12.6

 

12.2

12.3

12.4

Three-Dimensional Coordinate Systems

Vectors

The Dot Product

The Cross Product

Cylinders and Quadric Surfaces

2 Sept 5-9 12.5

14.1

14.3

Equations of Lines & Planes

Functions of Several Variables

Partial Derivatives

3 Sept 12-16  

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 19-23  

 

14.7

  Practice Exam 1 (In lecture)

Exam 1 (In discussion, covers 12.1-12.6, 14.1, 14.3, 14.4, 14.6)

Maximum and Minimum Values

5  Sept 26-30  

15.1

15.2

14.8

 

 

Lagrange Multipliers

Double Integrals over Rectangles

Double Integrals over General Regions

6  Oct 3-7 15.3

15.6

 

 

 

15.9

Double Integrals in Polar Coordinates

Triple Integrals

Change of Variables in Multiple Integrals

7  Oct 10-14 15.7

15.8

Triple Integrals in Cylindrical Coordinates

Triple Integrals in Spherical Coordinates

8  Oct 17-21  

 

13.1

Practice Exam 2 (In lecture)

Exam 2 (In discussion, covers 14.7, 15.1-15.3, 15.6-15.8)

Vector Functions

9  Oct 24-28 13.2

13.3

16.1

16.2

  Derivatives and Integrals of Vector Functions

Arc Length

Vector Fields

Line Integrals

10 Oct 31-Nov 4 16.2

16.3

  Line Integrals (continued)

The Fundamental Theorem for Line Integrals

11 Nov 7-11 16.4

16.5

  Green’s Theorem

Curl and Divergence

12 Nov 14-18  

 

16.6

Practice Exam 3 (In lecture)

Exam 3 (In discussion, covers 13.1-13.3, 16.1-16.4)

Parametric Surfaces and Their Areas

THANKSGIVING BREAK- NO CLASS
13 Nov 28-Dec 2 16.7

16.9

  Surface Integrals

Divergence Theorem

14 Dec 5-9 16.8

 

  Stokes’ Theorem

Final Exam Review

Dec 12-18 Wednesday, Dec 14, 1:00-3:00 PM

Final exam is cumulative