18.024: Multivariable calculus with theory

Ravi Vakil, Rm. 2-271, vakil@math.mit.edu

The description in the catalog: Continues 18.014. Parallel to 18.02, but at a deeper level, emphasizing careful reasoning and understanding of proofs. Considerable emphasis on linear algebra and vector integral calculus.

Lectures: Tuesdays and Thursdays 1-2, Friday 2-3, in Rm. 2-147.

My office hours: Thursdays 3-4 in 2-271. Also, as before, I will also usually be available after class, but let me know if you're interested in dropping by, so I'll be sure to be in.

Recitation: Benoit Charbonneau, Tuesdays and Thursdays at 12 (Rm 2-136), benoit@math.mit.edu, office hours Monday 11-12 and Tuesday 4-5 in Rm. 2-251 .

Text: Apostol's Calculus vols. I and II, plus Notes, which may be purchased in 11-004 (the copy center in the basement).

Problem sets: Starting with the third set, the policy will be the same as last semester: no lates (without a doctor's note).

Syllabus: Here is a tentative syllabus and basic information about the course: (ps, pdf). (All files here will be in postscript and pdf format; pdf format is probably easiest for you to download.)

Unit 1 (ps, pdf).

Unit 2 (ps, pdf).

Unit 3 (ps, pdf).

Here is practice quiz 1 (ps, pdf). Here are sketches of solutions to the practice quiz (ps, pdf). Here is quiz 1 (ps, pdf).

Unit 4 (ps, pdf).

Unit 5 (ps, pdf).

Here is practice quiz 2 (ps, pdf). Here are sketches of solutions to the practice quiz (ps, pdf). Here is quiz 2 (ps, pdf).

Unit 6 (ps, pdf).

Unit 7 (ps, pdf).

Here is practice quiz 3, not including the sketch (ps, pdf). Here are sketches of solutions to the practice quiz (ps, pdf). Here is quiz 3 (ps, pdf).

Unit 8 (ps, pdf).

Here is practice quiz 4, not including the figure (ps, pdf). Here are sketches of solutions to the practice quiz (ps, pdf).

The grades for quiz 4, and for the course as a whole, are here. You'll also find solutions to quiz 4 there.

To 18.014.
To my home page.

Ravi Vakil
Department of Mathematics Rm. 2-271
Massachusetts Institute of Technology
77 Massachusetts Ave.
Cambridge MA USA 02139
Phone: 617-253-2683 (but e-mail is better)
Fax: 617-253-4358
Email: vakil@math.mit.edu