MIT 18.02 Materials (Multivariable calculus)
In Fall 2024 I taught multivariable calculus at MIT for my TA duties (which I also blogged about). This page lists materials I wrote in this process. The main textbook is now also listed on MIT OpenCourseWare.
The LAMV textbook
- Download the most recent draft (updated PDF).
- There’s also a Stokes theorem poster.
- All the source code is on GitHub, in vEnhance/1802.
- If you spot an issue or have proposed edits, please either
- Raise an issue in GitHub, or
- Open a pull request if you know how that works.
- Comments, suggestions, words of encouragement, notes of gratitude, pictures of bunnies, etc., are welcome at my usual email.
- More generally, see CONTRIBUTING.md for ways you can help out, ranging from finding typos (there are plenty) to writing new content and anything in between.
- As indicated in the GitHub and in accordance with OpenCourseWare, these notes are under CC BY-NC-SA 4.0. For example, if you’re an instructor teaching a multivariable calculus class, you are welcome to use these notes for your course however is helpful to you with attribution; you don’t need additional written permission from me.
- See also Poonen’s fall 2021 notes.
Historical recitation handouts
My recitation sections in Fall 2024 met on Monday and Wednesdays at 9am. The handouts for these recitations are archived here for historical reasons, but the book above is likely to be more useful to you. Most recitation handouts consist of
- A copy-pasted excerpt of from the textbook above, abridged to fit on one sheet of paper
- Some practice questions provided by the instructor for the course
- An answer key generated by ChatGPT (not edited/checked/polished at all, so use at your own peril)
Source code for these files are posted on GitHub.
R01 09/04Welcome and type safety- Programmers in the room might enjoy this 4-minute talk
R02 09/09Normal vec, dot and cross prod and answer keyR03 09/11Encoding lin maps as matrices and answer keyR04 09/16Lin indp, span, basis and answer keyR05 09/18Eigenthings and answer keyR06 09/23Complex nums and answer keyR07 09/25Review for midterm 1 and answer keyR08 09/29Parametric and answer keyR09 10/02Parametric cont’d, gradients and answer keyR10 10/07Gradients and answer keyR11 10/09Min-max and answer keyR12 10/16Min-max and LM and answer key- No special notes for October 21; review for midterm 2
- Mock midterm 2 on Monday, October 21, 2024, from 3pm-4pm
R13 10/23Double integral and answer keyR14 10/28Double int, polar coord and answer keyR15 10/30Change var and answer keyR16 11/04Work and answer keyR17 11/06Anti-grad and answer key- No special notes for November 13, review for midterm 3
- Mock midterm 3 on Wednesday, November 13, 2024, from 6pm-8pm
R18 11/18Triple integral and answer keyR19 11/20Spherical and answer keyR20 11/25Surface and flux and answer key- Evan was out of town this day, so this is just the actual worksheet
R21 12/02Surf int and answer keyR22 12/04Div thm and answer keyR23 12/09Curl and crummy Stokes and answer keyR24 12/11Goodbye