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