Math 2110 Outline (Spring 2019)

Week Dates Section Covered

(Lect.)

Section Covered

(Disc.)

Topic Worksheets
1 Jan 22-25 12.1

 

12.6

 

12.2

Three-Dimensional Coordinate Systems

Vectors

Cylinders and Quadric Surfaces

Calculus I and II Review

Guided Vectors Notes (solutions)

Note: Example 3 should have x-component -2-0=-2, not -3.

2 Jan 28-Feb 1  

 

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)

Practice with Vectors (solutions)

Understanding Surfaces

3 Feb 4-8 14.4

 

14.6

14.7

 

14.5

Tangent Planes and Linear Approximation

The Chain Rule

Directional Derivatives & Gradient Vector

Maximum and Minimum Values

Lines and Planes

Guided Chain Rule Notes (solutions)

Practice Chain Rule Exercises Solutions

 4 Feb 11-15 N/A

15.1

Chapter 14 Review

Double Integrals over Rectangles

Tangent Planes and Directional Derivatives

Classifying Critical Points

5 Feb 18-22 15.2

 

15.3

 

14.8

Double Integrals over General Regions

Lagrange Multipliers

Double Integrals in Polar Coordinates

 

Guided Lagrange Multipliers Notes (solutions)

Absolute Extrema Practice Exercises Solutions

Double Integrals and Volume

6 Feb 25-Mar 1 N/A

 

 

15.6

Exam 1 Review

Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3-14.8, 15.1-15.3)

Triple Integrals in Cartesian Coordinates

Double Integrals in Polar Coordinates (solutions)

Exam 1 Practice Problems (solutions)

Exam 1 Things to Know

Exam 1 Review from Text

7 Mar 4-8 15.7

15.8

Triple Integrals in Cylindrical Coordinates

Triple Integrals in Spherical Coordinates

Cartesian Triple Integrals

Cylindrical Triple Integrals

8 Mar 11-15 N/A

 

13.1

13.2

13.3

 

15.9

Triple Integrals Review

Change of Variables in Multiple Integrals

Vector Functions

Derivatives & Integrals of Vector Functions

Arc Length

Spherical Triple Integrals

Guided Change of Variables Notes (solutions)

Change of Variables Practice Exercises Solutions

Mar 18-22 SPRING BREAK

NO CLASS

9 Mar 25-29 16.2

16.1

16.2

Line Integrals (Scalar Functions)

Vector Fields

Line Integrals (Vector Fields)

Vector Functions and Parameterized Curves

Line Integrals

10 Apr 1-5 16.3

 

16.4

The Fundamental Theorem for Line Integrals

Green’s Theorem

Line Integral Theorems
11 Apr 8-12 N/A

 

 

16.5

Exam 2 Review

Exam 2 (In discussion, 15.6-15.9, 13.1-13.3, 16.1-16.4)

Curl and Divergence

Exam 2 Practice Problems (solutions)

Exam 2 Review From Text

12 Apr 15-19 16.6

16.7

Parametric Surfaces and Their Areas

Surface Integrals (Scalar Functions)

Curl and Divergence
13 Apr 22-26 16.7

16.9

Surface Integrals (Vector Fields)

Divergence Theorem

Common Parametric Surfaces

Line Integrals vs. Surface Integrals

14 Apr 29-May 3 16.8

N/A

Stokes’ Theorem

Final Exam Review

Using the Divergence Theorem
May 6-11 Final exam is cumulative