## Sunday, April 24, 2016

### preCalculus 2015-2016 April: Limits and the Difference Quotient!

preCalculus 2015-2016 April

Limits and the Difference Quotient!

This has got to be the best way to introduce Calculus ever! We started with our last chapter in preCalculus: CH03 Rational Functions. We talked about Domain, Range, Symmetry, Intercepts, Holes and Asymptotes (Horizontal, Vertical, Slant, nonLinear). The emphasis through out, however, was Limits! We talked about the existence of Limit. Then we talked about Limits at Infinity. as well as 1-sided Limits on either side of a Vertical Asymptote.

We followed this discussion on Limits with the introCALC UNIT02 Difference Quotient and describing what a Derivative is. We played around with Continuity and Differentiability. We differentiated several functions including: Polynomial, Rational and Trigonometric. We used the Binomial Expansion Theorem to demonstrate the Power Rule for Derivatives. We even found the Derivative of abs(x), sin(x), cos(x) and e^x!

Our next unit, introCALC UNIT03, will be on Differentiation Rules such as: Product Rule, Quotient Rule and Chain Rule!

What is the Fractal Geometry of Nature?
Differentiabul!

I Will Derive!
Thriller Calculus!

NEW preCalculus + TI-84plusC
SCREENCASTS:

Well, that's all folks!

Sincerely,

A. Jorge Garcia
Applied Math, Physics and CS

Teaching with Technology,