Math 2233: Multivariable Calculus Section 12 Fall 2022

Contact Info Fall 2022

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

Office Hours:

• TR 2:00–4:00

Often in office:

• MW 2:30–4:20

Course Information

Lecture:

• MW 12:45 PM–2:00 PM
• 1957 E B17

TA

TA Office Hours:

• MW 11 AM–12 noon

Official textbook:

Recitations

Section 36:

• F 8:00 AM–8:50 AM
• Rome 351

Section 37:

• F 9:35 AM–10:25 AM
• Rome 351

Section 38:

• F 11:10 AM–12 Noon
• Rome 351

Daily Assignments

December 12: The Divergence Theorem and Vector Calculus

• Mastery Quiz 13 due
• Read section 8.2-3 of the online notes
• Or read (sub)sections 6.8 of Gilbert and Strang
• Bonus Section 8.4 of the online notes discusses an advanced perspective on vector calculus. We will not be substantially covering it in this course, and we certainly won’t be testing on it, but you might find it interesting or enlightening.

November 16: Conservative Vector Fields

• The class recording is posted under “Zoom Meetings” on Blackboard
• Read section 6.4 of the online notes
• Or read section 6.3 of Gilbert and Strang

November 14: Midterm 2

• Take the practice midterm
• Read solutions to mastery quiz 9

November 9: Vector Fields and Line Integrals

• Read sections 6.2-3 of the online notes
• Or read sections 6.1 and 6.2 of Gilbert and Strang

November 7: Probability and Scalar Line Integrals

• Mastery Quiz 9 due
• Read section 6.1 of the online notes
• Or read section 6.2.1 of Gilbert and Strang

October 31: Spherical Integrals and Alternate Coordinate Systems

• Mastery Quiz 8 due
• Read the rest of section 5.5 of the online notes
• Or read section 5.7 of Gilbert and Strang

October 28: Recitation 9 on Polar and Cylindrical Integrals

• Apparently we didn’t get the right worksheet out, but here is the one I intended to use
• Recitation 9 Worksheet

October 26: Polar, Cylindrical, and Spherical Coordinates

• Mastery Quiz 7 due
• Read the rest of sections 5.3-4 of the online notes
• Or read section 5.3 and 5.5 of Gilbert and Strang

October 19: Double Integrals 2

• Read the rest of section 5.2 of the online notes
• Or read section 5.2 and 5.4 of Gilbert and Strang

October 17: Double Integrals

• Mastery Quiz 6 due
• Read sections 5.1-2 of the online notes

October 10: Constrained Optimization

• Mastery Quiz 5 due
• Read sections 4.2-3 of the online notes
• Or read section 4.8 of Gilbert and Strang

October 5: Optimization

• Read sections 4.1-2 of the online notes
• Or read section 4.7 of Gilbert and Strang

October 3: Midterm 1

• You may bring a one-sided, handwritten cheat sheet on letter-size or A4-size paper.
• You may bring a non-graphing calculator, but it won’t help you.
• Practice Midterm 1

September 28: The Chain Rule and Second Partials

• Read the Solutions to Mastery Quiz 4
• Read sections 3.6-7 of the online notes
• Or read section 4.6 of Gilbert and Strang, and look back at 4.3

September 12: Vector Functions

• Mastery Quiz 2: Due September 12
• M1, S1
• Everyone should submit both questions on this quiz. I screwed up, and the “vectors” topic that we started last week is in fact a major topic. You get four cracks at it, and will be graded on your best two. Everything is being updated to reflect that.
• Read section 2.1 of the online notes
• Or read section 3.1 of Gilbert and Strang

September 7: Cross Products and Planes

• Read sections 1.4 and 1.5 of the online notes
• Or read sections 2.4 and 2.5 of Gilbert and Strang

August 31: The Dot Product

• Read section 1.3 of the online notes
• Or read section 2.3 of Gilbert and Strang

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

The course syllabus is available here.

Mastery Quizzes

Allocation of topics is tentative and may change as the course progresses.

Major Topics

1. Vectors
2. Partial Derivatives
3. Optimization
4. Multiple Integrals
5. Line Integrals
6. Surface Integrals

Secondary Topics

1. Lines and Planes
2. Vector Functions
3. Multivariable Functions
4. Integral Applications
5. Vector Fields
6. The Divergence Theorem

Tests

• Midterm on October 3
• Midterm on November 14
• Final Exam on Monday, December 19, 12:40 - 2:40 PM

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.

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.

We will be using a (free!) online homework system called WeBWorK this term. You can access it by going to Blackboard, then to “Course Links”, and clicking the WeBWorK link. This will automatically create an account for you and log you in. You may continue to log in through Blackboard, or if you wish you may create a password within WeBWorK to log in directly.