# Math 2233: Multivariable Calculus Section 11 Fall 2021

#### Contact Info Fall 2021

Office: Phillips Hall 720E
Email: jaydaigle@gwu.edu

Office Hours:

• MW 3:00–4:30

Often in office:

• MW 2:00–4:30
• TR 2:15–3:15

#### Course Information

Lecture:

• TR 12:45 PM–2:00 PM
• MPA 310

TA

TA Office Hours:

Official textbook:

###### Recitations

Section 33:

• W 8:00 AM–8:50 AM
• Bell 106

Section 34:

• W 9:35 AM–10:25 AM
• Bell 106

Section 35:

• W 11:10 AM–12 Noon
• Bell 106

## Daily Assignments

#### December 9: Divergence Theorem

• Due in class: Mastery Quiz 10
• Topics 11, 12, 13, 14
• I cut topic 15, which makes me sad but I don’t see a better choice
• Submit up to 3
• Read the solutions to quiz 9
• Read sections 9.2-3 of the online notes
• Feel free to read section 9.4 too if you want a peek at what we’d do with anothe day

#### November 18: Surface Integrals

• Due in Class: Mastery Quiz 8
• Finish section 7.5 and read section 8.1 of the online notes
• See also learning objectives 6.6.2 and 6.6.3 section 6.4 of Gilbert and Strang
• I’d like to get through all of 6.6 today but I don’t expect to.

#### November 16: Curl and Green’s Theorem

• Read the Solutions to midterm 2
• Read section 7.4-5 of the online notes
• Gilbert and Strang handle this material in a slightly different order. We are covering:

#### October 21: Calculus of Curves

• Due in class: * Mastery Quiz 5
• Topics 4, 5, 6, 7
• Submit only three
• Check Blackboard before submitting; your mastery scores have been updated from the midterm
• If you absolutely cannot get it done for class, you can submit online later on Thursday, but please try to get it in in class
• Read section 6.1 of the online notes
• Some videos:

#### October 14: Multivariable Integration

• Due in class: Mastery Quiz 4
• Topics 2, 3, 4, 5, 6
• Submit only three
• Check Blackboard before submitting; your mastery scores have been updated from the midterm
• If you absolutely cannot get it done for class, you can submit online later on Thursday, but please try to get it in in class
• Read Section 5.2 of the online notes

#### September 2: Lines and Planes

• Read Section 1.3 of the online notes
• Or read section 2.5 of Gilbert and Strang, but note they approach this material in a different way that assumes you’ve already seen vector operations.

## Course Goals

In this course we will extend our theory of calculus to cover functions of multiple variables. We will understand these functions algebraically and geometrically, and learn how to use the tools of differential and integral calculus to further understand them.

Topics will include: 3D graphing, planes, partial derivatives, vectors, directional derivatives, gradients, the chain rule, optimization and Lagrange multipliers, integration, parametrization, vector fields, line and surface integrals, and Green’s, Stokes’s, and the Divergence theorem.

The course syllabus is available here.

## Mastery Quizzes

#### Topics

1. Lines and planes
2. Vector operations
3. Partial Derivatives and Linear Approximation
4. Gradient and directional derivatives
5. Multivariable optimization
6. Constrained optimization
7. Multivariable integrals
8. Integrals in other coordinate systems
9. Calculus of curves
10. Integral change of variables
11. Line integrals
12. Conservative Vector Fields
13. Surface integrals
14. Green’s and Stokes’s theorems
15. Divergence theorem

## Tests

Graphing calculators will not be allowed on tests. Scientific, non-programmable calculators will be allowed. I will have some to share, but not enough for everyone.

## Edfinity online homework system

We will be using Edfinity for Math 2233-11. To enroll, please follow the steps below:

1. If you already have an Edfinity account from a previous course, please sign into it. Otherwise, go to step 2.
2. Go to the following registration link: https://edfinity.com/join/WJF6876B
3. You will be prompted to pay (I believe the fee is $25) and enroll in our section. 4. Start working on your assignments :) ## Textbook The official textbook for Math 2233 is OpenStax Calculus Volume 3 by Gilbert Strang and Edwin Herman. It is available for free online here. You can also buy copies from Amazon; a paperback is a little under$30.

I will be loosely following the textbook, but will often be giving my own take or focusing on topics the textbook doesn’t emphasize. All my course notes will be posted to the course web page.

This section of Math 2233 will use the Edfinity online homework platform. You will need to buy a license, which I believe is \$25.