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18.02A

Information

Recitations: Mondays & Wednesdays, 10 AM in Room 2-132.

Office Hours: Wednesdays, 3-4 PM in Room 2-175.

The course instructor is John Bush. All course materials are on Canvas.

There are no MITx exercises in this course. Some homework is assigned from the textbook Multivariable Calculus, 6th Ed., by Edwards & Penney.

I will use this webpage to record what we discuss.

21-12-08

Addendum: Suggested practice from Edwards & Penney.
  • §14.2, #12: Find the region of integration for \[\begin{align*} \int_0^\pi \int_0^{\sin x} y\,dy\,dx, \end{align*}\] and evaluate it.
  • §14.2, #34: Find the region of integration for \[\begin{align*} \int_0^1 \int_{\arctan y}^{\pi/4} \sec x\,dx\,dy, \end{align*}\] show how to rewrite the integral in the opposite order, and finally, evaluate it. Hint: If \(0 \leq y \leq 1\), then \(x = \arctan y\) if and only if \(y = \tan x\).
  • §14.5, #14: Find the mass and centroid of the plane lamina bounded by \(x = 0\) and \(x = 9 - y^2\) with density \(\delta(x, y) = x^2\).

21-12-06

21-12-01

21-11-29

21-11-24

Have a restful Thanksgiving.

21-11-22

21-11-17

21-11-15

21-11-10

21-11-08

21-11-03

21-11-01

21-10-27

This recitation was audited by Dr. Jerry Orloff.

21-10-25