Day 30, Mat129: Calculus I

• Your Exams are returned (a pdf of the Mathematica output for Jared, because he refuses to listen and download his own free copy of Mathematica, which you should all do -- but probably won't, because you all hear me say "rah rah, rah rah, rah rah....").

  Here's a key.

  • Things didn't go as well as I would have liked, so here's how we're going to patch things up.
    • You have until Monday, April 2.
    • Take your exam and a fresh copy of any pages you didn't get 100% correct to the calc lab.
    • Do those pages again (you need only do the parts you didn't do correctly, if there are specific parts), with the help of our tutors, until you get them right.
    • Have the tutor sign the exam, to indicate that you've done that work in the lab, under their guidance.
    • Staple together and return both your old exam, and your new work, to me, by Monday.
    • You'll get half the missed points back.

  • GYE: Given Your Error

  • Too much "Felonious Algebra". We've got to fix that -- it's just not easy to do calculus without reasonable algebra skills, so doing illegal things is killer....

  • I know that it's tempting, in a math emergency, but remember that it makes the grader unhappy, and you always want a happy grader!

• Please put your rectangles away.

We'll continue with that very important section 3.7 -- optimization problems. The best way to explain is to do some examples, but the point is that we're going to be looking for extrema of functions. There are thus two things to do:

1. Come up with the appropriate function, and then
2. find extrema in the ordinary ways.

• Understand
• Plan
• Carry out
• Evaluate

Examples:

• #15, p. 257
• #9
• #27 (what do you imagine the result might be?)
• #20