Math 104 - Lecture 1 Notes Thursday, September 8, 2011

Week 1 Material: Review: Chapters 1 through 5 and 7.

• Limits, derivatives, graphing etc.
• Basic integrals; fundamental theorem of calculus

• Skim chapters 1 through 4 and 7
• Chapter 5 -- pay special attention to sections 5.4 through 5.6

This seems like a lot of reading (and it is!), but you can do it since you've seen much of this material before.

Maple - This week, get acquainted with it - commands to pay attention to this week are "solve", "plot", "limit", "diff" and "int".

First Homework Assignment - due at lecture on THURSDAY, September 15.

1. Reading: Read through chapters 1 through 5 and 7 of the textbook as indicated above.
2. More reading: In the Maple/Calculus Lab Manual, read the sections of the manual on "solve", "plot", "limit" "diff" and "int".
3. Assignment (part 1): (submit nothing) This is an atypical assignment, in that none of it comes from the textbook (but wait till next week!) Make sure that you can do the problems on the Math 103 exam from Spring 2005 and from the Sample exam #1. But don't hand any of these in.
4. Assignment (part 2): Submit complete written-out solutions (not just the multiple choice answers) to all of the problems from the final exams from Fall 2003 and Fall 2004 at lecture on Thursday, September 15.

BONUS PROBLEM!!

Bonus problem #1: Suppose that three points on the parabola y = x² have the property that their normal lines intersect at a common point. Show that the sum of their x-coordinates is 0. Is this if and only if?

For full credit, you must be as specific as you possibly can! When you have solved it, either write up the solution by hand and give it to me, or else send the solution to

deturck@math.upenn.edu

by electronic mail - extra credit for the first complete solution I receive.