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.
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: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.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 will be once a week, starting on week 2, and will be graded on completion. Each will be available online for 24 hours.
Quiz 1 available on Canvas on Monday, April 6 9.30 am and for 24 hours. You have 30 minutes to finish it once you start. Solutions
Quiz 2 grades and feedback are on Gradescope. Solutions
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 |
Exams will be distributed online on Gradescope. You can start each midterm within 1.5 hour before or after the normal starting time. Then you have 1 hour to submit your work. That includes 10 minutes allowed for uploading your work. For the final, you will be able to start within 2.5 hours before or after the normal starting time. The time allocated for uploading your work will be 15 minutes.
The exams are open book/internet. However, you are strictly prohibited from collaborating, asking others how to do the problems or sharing the exam questions with other people, whether they are students in the class or not. The exam reflects your own work and understanding of the material.
If you have a compelling, documented, and legitimate reason to miss an exam please inform the instructor as soon as possible.
A list of Past Exams by various instructors:
https://sites.math.washington.edu/~aloveles/Math324Winter2012/examarchive.html
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 |