Math 2110 Outline

Week Dates Section(s) Covered

(In Lecture)

Section(s) Covered

(In Discussion)

Topic Worksheets
1 Jan 16-20 12.1

 

12.6

 

12.2

 

Three-Dimensional Coordinate Systems

Vectors

Cylinders and Quadric Surfaces

Calculus Review Worksheet

Guided Vectors Notes (solutions)

Practice with Vectors Worksheet

2 Jan 23-27  

 

12.5

14.1

14.3

12.3

12.4

The Dot Product

The Cross Product

Equations of Lines & Planes

Functions of Several Variables

Partial Derivatives

Guided Dot and Cross Product Notes (solutions)

Understanding Surfaces Worksheet

3 Jan 30-Feb 3 14.4

 

14.6

 

14.5

 

Tangent Planes and Linear Approximation

The Chain Rule

Directional Derivatives and the Gradient Vector

Lines and Planes Worksheet

Guided Chain Rule Notes (solutions)

Chain Rule Worksheet 

 4  Feb 6-10 14.7   Maximum and Minimum Values Tangent Planes and Directional Derivatives Worksheet

Classifying Critical Points Worksheet 

5  Feb 13-17 15.1

15.2

 

 

Double Integrals over Rectangles

Double Integrals over General Regions

Partial Derivatives Review Worksheet (not for credit) (solutions)

Double Integrals Worksheet

6  Feb 20-24 15.3 Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3, 14.4, 14.6, 14.7, 15.1-15.2)

Double Integrals in Polar Coordinates

7  Feb 27-Mar 3 15.6

15.7

Triple Integrals in Cartesian Coordinates

Triple Integrals in Cylindrical Coordinates

Polar Double Integrals Worksheet

Cartesian Triple Integrals Worksheet

8  Mar 6-10 15.8

15.6-15.8

  Triple Integrals in Spherical Coordinates

Triple Integrals Review

Cylindrical Triple Integrals Worksheet

Spherical Triple Integrals Worksheet 

        SPRING BREAK- NO CLASS  
9  Mar 20-24 13.1

13.2

13.3

 

16.1

  Vector Functions

Derivatives and Integrals of Vector Functions

Arc Length

 Vector Fields

Vector Functions Worksheet  
10 Mar 27-31 16.2

16.3

  Line Integrals

The Fundamental Theorem for Line Integrals

Line Integrals Worksheet
11 Apr 3-7 16.4   Exam 2 (In discussion, 15.3, 15.6-15.8, 13.1-13.3, 16.1-16.3)

Green’s Theorem

 
12 Apr 10-14 16.5

16.6

  Curl and Divergence

Parametric Surfaces and Their Areas

 Line Integral Theorems Worksheet
13 Apr 17-21 16.7

16.9

  Surface Integrals

Divergence Theorem

Parametric Surfaces Worksheet 

Line vs. Surface Intergals Worksheet

14 Apr 24-28 16.8

 

  Stokes’ Theorem

Final Exam Review

Divergence Theorem Worksheet
  May 1-May 6     Final exam is cumulative