Math 324 E, Spring 2020

Contents

Quick start guide

Instructor: Nikolas Eptaminitakis

email: neptamin@uw.edu

Lecture time: M-W-F 8:30-9:20 in Zoom. Meeting ID: 419-575-495

Office Hours: W-Th 4:00-5:00 pm in Zoom. Meeting ID: 439-604-933

This class is a continuation of Math 126: we will explore Multivariable Calculus deeper. There will be pictures! There will be 2 midterms and a final, and quizzes. There will also be homework due once a week.

Important: If you do not have access to your UW email for whatever reason please let me know as soon as possible via Canvas or Piazza

Announcements

General information about the course and Syllabus

The topics we will cover include double and triple integrals, the chain rule, directional derivatives, vector fields, line and surface integrals, the grad, curl and div operators, the divergence theorem, and Green’s and Stokes’ Theorems. This course is a continuation of the 12x level calculus courses, and its content partly overlaps with material covered in Math 126. . Especially if you took Math 126 recently, you might find the first couple of weeks easy to follow, but this might not be the case later.

As for prerequisites, I will assume you are comfortable with basic differentiation and integration in one variable and basic algebraic manipulations. However, you shouldn’t expect to have to deal with any really complicated integration tricks and I will be reviewing past material whenever necessary.

Click the link below for the syllabus:
https://sites.math.washington.edu/~neptamin/324Sp20/Syllabus/Syllabus.pdf

Lectures and Office Hours

At least initially, the lectures will be delivered real time on-line through Zoom at the regular time the class meets. You will have the opportunity to stop me and ask a question. The lectures will also be recorded and uploaded to Canvas. To the best of my knowledge, Zoom does not offer an option to not record all participants’ voices, so if you ask a question your voice will be recorded. However, I will be removing students’ voices from the version of the lecture posted on Canvas.

Similarly, office hours will be on Zoom. Those will not be recorded. If you cannot make it to office hours you can also ask for an appointment. Bringing pets to office hours is encouraged.

Lecture Notes, Lecture Recordings and Study Resources

Homework

There will be homework due once a week, on Thursdays, collected and graded through Webassign:
https://www.webassign.net/washington/login.html?WebAssignUsername=neptamin&WebAssignInstitution=washington.

There is no class key; if you are enrolled for this class, you should be able to see it in WebAssign once you enter your UW credentials.

Quizzes

Quizzes will be once a week, starting on week 2, and will be graded on completion. Each will be available online for 24 hours.

Exam Information

Midterm 1 Wednesday, 04/22, 8:30 – 9:20 am
Midterm 2 Wednesday, 05/13, 8:30 – 9:20 am
Final Tuesday, 06/09, 8:30 – 10:20 am

Calendar

The calendar will be updated frequently!

Week Day Material discussed Homework
1: 03/30-04/03 Monday Introduction, Double Integrals over rectangles and over general regions. Recording and Transcript. First two files in Lecture Notes.
Tuesday
Wednesday Polar Coordinates, Applications. Recording and Transcript. Third and fourth files in Lecture Notes.
Thursday
Friday Triple Integrals, first part. Recording and Transcript. Lecture Notes.
2: 04/06-10 Monday Triple Integrals, examples. Recording and Transcript. Lecture Notes.
Tuesday
Wednesday Cylindrical Coordinates. Recording and Transcript. Lecture Notes.
Thursday HW 1 Due (15.1-15.4)
Friday Spherical Coordinates. Recording and Transcript. Lecture Notes.
3: 04/13-17 Monday Transformations and Change of Variables I. Recording and Transcript. Lecture Notes.
Tuesday
Wednesday Transformations and Change of Variables II. Recording and Transcript. Lecture Notes.
Thursday HW 2 Due (15.6-15.8)
Friday The Chain Rule. Recording and Transcript. Lecture Notes.
4: 04/20-24 Monday Review. Recording and Transcript. Worksheet and Solutions.
Tuesday
Wednesday Midterm 1 Solutions
Thursday HW 3 Due (15.9, 14.5)
Friday Directional Derivatives and Gradient. Recording and Trranscript. Lecture Notes.
5: 04/27-05/01 Monday Vector Fields. Recording and Transcript Lecture Notes.
Tuesday
Wednesday Line Integrals with respect to arc length. Recording and Transcript. Lecture Notes.
Thursday HW 4 Due (14.6)
Friday Line integrals with respect to arc length, line integrals of vector fields. Recording and Transcript. Lecture Notes.
6: 05/4-08 Monday FTC for line integrals. Recording and Transcript. Lecture Notes.
Tuesday
Wednesday Curl and Divergence. Recording and Transcript. Lecture Notes.
Thursday HW 5 Due (16.1-16.2)
Friday Green’s Theorem. Recording and Transcript. Lecture Notes.
7: 05/11-15 Monday Review-Worksheet. Recording and Transcript. Worksheet and Solutions.
Tuesday
Wednesday Midterm 2
Thursday HW 6 Due (16.3-16.5)
Friday
8: 05/18-22 Monday
Tuesday
Wednesday
Thursday
Friday
9: 05/25-29 Monday Memorial Day
Tuesday
Wednesday
Thursday
Friday
10: 06/01-05 Monday
Tuesday
Wednesday
Thursday
Friday
Finals Week Tuesday Final exam