Calculus AB
Instructor: John Losse
John Losse has been a reader of AP* Calculus exams for nine years. He teaches Calculus at Scottsdale Community College in Arizona
and has worked since the early 90's with Scottsdale area high schools as an AP* Calculus volunteer. He has conducted numerous workshops and institutes on AP* Calculus
as well as applications of technology to mathematics teaching. He always looks forward to PAPI, and is anxious to "work" in beautiful Monterey this year.
John received his MS in Mathematics from the University of North Carolina at Chapel Hill and his BS in Mathematics from Trinity College in Hartford.
You can e-mail John at jlosse@mac.com
2010 General Session Outline
The Summer Institute will look at all the main topics of the AB curriculum and how they have been tested in recent exams. We will use calculator and non calculator
methods to understand theory and to solve typical AP* problems and understand the scoring standards. We will see and use current computer and internet resources.
Participants are encouraged to bring their own ideas, lessons, worksheets, etc., to add to those John has developed. A CD with our accumulated wisdom and resources
will be distributed at the end – as much as will fit!
John will be using a TI-84 primarily, so bring one if you can. However, if your school uses the TI-89 or nSpire and you prefer it, by all means bring it along.
The schedule below is a starting point. We may rearrange things, but we will try to cover it all!
MONDAY
Limits and Continuity
Average Rates of Change and the Derivative
Named Theorems: IVT, MVT
The Derivative as a Function – What Does it Tell Us?
Local and Global Extrema; The First and Second Derivative Tests
Recent AP Rules on Sign Charts
Optimization
Local Linearity, Estimates and Concavity
Related Rates
From Time to Time Every Day: Using Technology, Exchange of Ideas
TUESDAY
The Definite Integral
Riemann Sums: Left, Right, Midpoint; The Trapezoid Rule
The Definite Integral as an Accumulator
Naturalness of The Fundamental Theorem F(b) – F(a) ; Net Change
The Rest of the Fundamental Theorem (d/dx . . . )
Antiderivatives and Substitution of Variables
A peek at TI's new graphing calculator, the Nspire
WEDNESDAY
Classic Area and Volume Problems
A Look at Calculus in Motion by Audrey Weeks
The Average Value of a Function
Differential Equations and Initial Conditions
Slope Fields
Separation of Variables
Internet Resources; Computer Lab
Best Practices. Worksheet exchange.
Any loose ends to tie up tomorrow? Let me know!
THURSDAY
Implicit Differentiation
Inverse Functions and Derivatives
Tie up Those Loose Ends.
The 2009 Exam and How it was Scored
Where is AP* Calculus Headed?
Evaluations
