Mathematics
Calculus AB/BC Details
Description
This workshop will start with an examination of the syllabus for the 2012 AP* Calculus Exam(s). From there, most of the major topics in the syllabus will be covered. All topics will be approached from a "reformed calculus" point of view with the use of the TI-83 or TI-89 graphing calculator. The term "reformed calculus" means using the Rule of Four, which examines concepts from symbolic, numeric, graphic, and descriptive points of view. Emphasis will be on understanding, rather than computation. Broad concepts and widely applicable methods, rather than details and special tricks, will be emphasized. The Institute will cover the AB syllabus with extra time being devoted to special concerns and BC topics.
Tentative Schedule
| Monday, June 24 |
| Time |
Event |
| 7:45-8:15 |
Registration |
| 8:15-8:30 |
Welcome |
| 8:30-10:00 |
Intros, Acorn Book, Syllabus |
| 10:00-10:15 |
Break |
| 10:15-noon |
Asymptotic/Unbounded Behavior |
| Noon-12:30 |
Lunch |
| 12:30-2:30 |
Limits and Continuity |
| 2:30-2:45 |
Break |
| 2:45-3:45 |
Derivatives and Their Applications |
| 3:45-4:45 |
Group Presentation Preparation |
| Tuesday, June 25 |
| Time |
Event |
| 7:45-8:15 |
Breakfast |
| 8:15-10:00 |
Mean Value Theorem |
| 10:00-10:15 |
Break |
| 10:15-noon |
Riemann Sums/Definite Integral |
| Noon-12:30 |
Lunch |
| 12:30-2:30 |
Numerical Approximations of Integrals |
| 2:30-2:45 |
Break |
| 2:45-3:45 |
Fundamental Theorem of Calculus |
| 3:45-4:45 |
Group Presentation Preparation |
| Wednesday, June 26 |
| Time |
Event |
| 7:45-8:15 |
Breakfast |
| 8:15-10:00 |
Applications of Integration I |
| 10:00-10:15 |
Break |
| 10:15-noon |
Applications of Integration II |
| Noon-12:30 |
Lunch |
| 12:30-2:30 |
Differential Equations
Exponential and Logistic Growth |
| 2:30-2:45 |
Break |
| 2:45-3:45 |
Function Graphing |
| 3:45-4:45 |
AP Exam Questions |
| Thursday, June 27 |
| Time |
Event |
| 7:45-8:15 |
Breakfast |
| 8:15-10:00 |
Infinite Series (AB/BC split) |
| 10:00-10:15 |
Break |
| 10:15-noon |
Infinite Series and Parametric Curves (split) |
| Noon-12:30 |
Lunch |
| 12:30-2:30 |
Grading the Free Response Section |
| 2:30-2:45 |
Break |
| 2:45-3:45 |
Teaching AP Calc/Evaluation |
Questions?
Jim Hartman, Mathematics and Computer Science Department
The College of Wooster
Wooster, OH 44691
330-263-2239
*AP is a registered trademark of the College Board. Used with permission.