Math 2110 Outline (Fall 2020)

To keep track of due dates and help you keep on track, we highly recommend you make yourself of copy of this Google Doc:

https://docs.google.com/spreadsheets/d/1Zn2Q7VVl-SGdUaBtF9s12UpvN5_Pc0XVpF7nzv1N9-U/copy

(Clicking the link above will force a copy to be made.  Save it to your Google Drive and update it throughout the semester.)

Week Section Covered

(Lect.)

Section Covered

(Disc.)

Topic Additional Practice Worksheets
1 12.1

12.2

12.6

Three-Dimensional Coordinate Systems

Vectors

Cylinders and Quadric Surfaces

Calculus I and II Review

12.2 Vectors Notes (12.2 solutions)

2 12.3

12.4

12.5

The Dot Product

The Cross Product

Equations of Lines & Planes

Practice with Vectors (solutions)

Understanding Surfaces

3 14.1

14.3

14.4

14.5

Functions of Several Variables

Partial Derivatives

Tangent Planes and Linear Approximation

Directional Derivatives & Gradient Vector

Lines and Planes

14.5 The Chain Rule Notes (14.5 solutions)

 4 14.6

14.7

14.8

Directional Derivatives & Gradient Vector

Maximum and Minimum Values

Lagrange Multipliers

Exam 1 Friday

Tangent Planes and Directional Derivatives

Classifying Critical Points

14.8 Lagrange Multipliers Notes (14.8 Solutions)

5 15.1

15.2

15.3

Double Integrals over Rectangles

Double Integrals over General Regions

Double Integrals in Polar Coordinates

Double Integrals and Volume

Double Integrals in Polar Coordinates (solutions)

6  

15.6

 

Triple Integrals in Cartesian Coordinates

 

 

7 15.7

15.8

Triple Integrals in Cylindrical Coordinates

Triple Integrals in Spherical Coordinates

Cartesian Triple Integrals

Cylindrical Triple Integrals

8 15.9

13.1

13.2

13.3

Change of Variables in Multiple Integrals

Vector Functions

Derivatives & Integrals of Vector Functions

Arc Length

Exam 2 Friday

Spherical Triple Integrals

15.9 Change of Variables Notes (15.9 solutions)

9 16.2

16.1

16.2

Line Integrals (Scalar Functions)

Vector Fields

Line Integrals (Vector Fields)

Vector Functions and Parameterized Curves

Line Integrals

10 16.3

16.4

The Fundamental Thm for Line Integrals

Green’s Theorem

Line Integral Theorems
11 16.5

16.6

Curl and Divergence

Parametric Surfaces and Their Areas

Curl and Divergence

Common Parametric Surfaces

12 16.7 Surface Integrals (Scalar Functions)

Exam 3 Friday

Thanksgiving Week
13 16.8

16.9

Stokes’ Theorem

Divergence Theorem

Using the Divergence Theorem
14 Reading Week/Finals Week Final Portfolio Due Monday 12/14