MITES 2008 Advanced Calculus

The basics

Classes:	Monday, Wednesday, Friday, 10:45am-12:15pm, 2-105.
Recitations:	Thursday, 3:45-4:45pm, 2-105.
Midterms:	Wednesday July 9, 10:45-12:15am, 2-105.
Finals:	Thursday July 31, 9:00-11:00am, 2-105.
Homework assignments:	Compulsory. Turn in to Omar by 8:30pm each Tuesday.
Office hours:	Sunday, 7-8:30pm at Simmons, or by individual appointment.
Teaching Assistant:	Omar Carrasquillo, room 327, email: oyc@mit.edu.

Curriculum

A wild run through multivariable calculus, starting with partial derivatives, implicit differentiation, Taylor's Theorem, change of variables, Lagrange multipliers, plane polar coordinates, polar curves, double integrals, triple integrals, cylindrical and spherical polar coordinates, exact differentials, line integrals, Green's Theorem in the plane, vectors, dot product, cross product, triple products, grad, directional derivatives, tangent planes, line, surface and volume integrals of scalar and vector fields, div, curl, Maxwell's equations, Laplacian, Divergence Theorem, Stokes's Theorem, etc.

Homework assignments

Problem sets and other teaching materials will be available in class and in .pdf format for download from this page.

Final exam grades

Below is a histogram of the class's final exam performance. The mean was 75 points out of 120, the median was 74.

Omar will be sending out individual grades by email over the next few days. Very well done to all of you!

The Calculus Challenge score board

Solutions to the puzzles may be submitted by email to thecalculuschallenge@gmail.com by midnight on the day they were set (this excludes The Calculus Challenge 0, which is due on Sunday, June 22 at 6pm). Late entries will not be accepted. A prize for the best performance will be awarded after Calculus Challenge 16. In the case of a tie two (or more) prizes will be made available.

Added August 1: Congratulations to Hot Peppers and The Flying Dutchman, the winners of The Calculus Challenge!

I'll try and update this page after every round. Please let me know by email if you think there is a mistake in this table.

Thank you all for an amazing summer!