Next time: Chapter 1, section 1.5 |
Assignments will be updated on the website. Keep checking on those.... You have one already!
It's to get an account on the IMath system, which we'll be using for part of our homework. It's been years since I used this, but I used to use it, and liked it. I'm working with Dr. Krug on this, but I'm expecting some glitches early on. Please let me know if things aren't working. Don't start by blaming yourself -- it may be us!
However, your exams are going to be taken with only a scientific calculator, so you'll need one of those as well. But for your own work, I recommend a good graphing calculator and (even better) Mathematica.
These really reduce the tedium associated with some aspects of advanced mathematics, and allow you to check your work. That being said, since you'll have access to neither for the exams, you'll want use these as aids and not as crutches.
The big ideas of Calc I are contained in Gil Strang's "Auto Analogy":
Imagine that the car is operated on a long, straight road. Just for the sake of convenience, we won't allow it to travel in reverse!
Calculus answers both of these with a resounding "Yes!"
Each of these questions relates to the two fundamental subject matters of univariate calculus I: the differential calculus and the integral calculus. We're going to be studying both of these this semester. Can you think of some simple cases where it's easy to answer in the affirmative?How about more complex ones?:)