Calculus Concepts Workshop

June 9-11, 2008

Link to our communication forum website: www.freepowerboards.com/calculusworkshop

CSU PACe Center Online Calculus Review - includes streaming videos and online assessment

Monday, June 9

Morning Session Algebra Review

Formative Assessment

Algebra Review

Minilab13-Linear Relationships

Minilab23- Increasing and Decreasing Functions

Minilab28-Zeros of Polynomials

Afternoon Session Limits

Focus on limits –

Limit Problems from Jigsaw Activity

Tuesday, June 10

Morning Session Derivatives

Versatiles Limit Activity

Versatiles Activity - Where are you headed?

Analyzing Graphs

Concepts Worksheet 1 - Graphical Analysis

Concepts Worksheet 2 - Graphical Transformations

What is a derivative?

Exploration 1 - Instantaneous

Follow that car / Average value
of a function

Guest Speaker: Dr. Daniel Rudolf

Sterling’s Formula and the Law of Large Numbers

The simplest case of the law of large numbers says that as one flips a coin
repeatedly one expects to see heads about half the time. It was first proven
by Jacob Bernoulli in the 18th century. We now regard it as somehow obvious
but how would one prove it?

Sterling’s formula is a very accurate approximation to n! that is derived
using integration. Once one can approximate n! it is a simple step to approximating
binomial coefficients and with them we will see how to prove the law of large
numbers.

What is a derivative? Continued…

Derivatives - The Magnificent Six

Connecting Functions to 1st and 2nd Derivatives

Go Derivate!

Chain Rule

Homework: Reading: Writing in Mathematics

Online Post

Wednesday, June 11

Morning Session

Graphing Explorations with Derivatives

Concepts Worksheet 6 - Exploring Extrema for an "Unusual Function"

Concepts Worksheet 7 - Graph Sketching Using Derivatives

Worksheet 6 and 7 Answer Key

Concepts Maps for Extrema and Curve Sketching

Exploring Integration

Versatiles: Definitely An Integral

Afternoon Session Calculus with TI Nspire

Calculus with TI Nspire – Wade Ellis

TI-Nspire Activities Getting Started

Project for Credit