Spring 2002
Math 21a
Spring 2002
Multivariable Calculus
Andy Engelward
Office: Science Center 435 Phone: 495-4744
engelward@math.harvard.edu
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Spring 2002 |
Math 21aSpring 2002Multivariable Calculus |
Course Head:
Andy Engelward Office: Science Center 435 Phone: 495-4744 engelward@math.harvard.edu |
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We are all done now with Vector Calculus,
which means that you have now seen it all! Remember back to that
first time you saw the Fundamental Theorem of Calculus (probably many years
ago!), well, now you are done with calculus! Of course we hope that
what you've seen and learned over the past several years will be useful
for you in other fields you might be studying, including mathematics, for
those of you who would like to continue on with math, so that this isn't
the last time you'll work with calculus - but now you're done with your
calculus classes! Go out and celebrate finishing off calculus by
doing some triple integrals just for fun!
During the last week together we will all learn about PDEs (partial differential equations) - you've probably already studied some ODEs (ordinary differential equations), and now it's time to broaden your sights. We'll study some of the most famous PDEs - the wave, heat and Laplace equations. There will be no more problem sets to turn in, instead there will be a list of suggested problems to work through for the PDEs. We will post these shortly, as well as include them on the handout that you will get on PDEs this week (you'll get the handout on Thursday or Friday in class). There is one last thing to take care of, however, and that is the 3rd and final Mathematica computer assignment. This one gives you a chance to actually view solutions to some of the partial differential equations that we're studying this week, so it's well worth your effort. Please go to the Third Mathematica Assignment link to download this last computer assignment. Note that as in the past, you've got a week to work on it - it's not too long, but be sure that you don't just put it off until the last minute! Just a reminder - after you have gotten your midterm back, please be sure to check through the Midterm 2 Solutions to go over anything that you might have missed. Spiro put together an interesting handout on curves and surfaces for his sections, so if you'd like to read through this, please see Spiro's Curves and Surfaces Handout To read any PDF files that are posted, make sure that you have Adobe
Acrobat Reader
last modified: 4/20/2002 Copyright © The President and Fellows of Harvard College |