Calculus BC

This course will be devoted to investigating the Calculus BC

AP Calculus BC is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations.

Here is a link to the Mathematical Practices for AP Calculus: There you will be able to download the Curriculum Framework document as well as find additional resources.


Day 1:

  • Introductions
  • MPACs & The Curriculum Framework
  • Riemann Sums & Slouching Towards the Definite Integral
  • Major Theorems and Big Ideas
    • What is the place for proofs?
  • Consequences of Limits and Continuity
  • L’Hopital’s Rule
  • Slopes and Arclength of Parametric Curves
  • What to know about Parametrics for the AP Exam?

Day 2:

  • Polar Explorations
  • Slopes and Areas of Polar Curves
  • Integration Techniques
    • Partial Fractions:
    • Integration by Parts LIATE or ILATE?
  • Improper Integrals
    • Cool Applications
    • A Pair of Ducks
  • Pacing and Resources
  • Differential Equations and Slope Fields
  • Euler's Method
  • The Logistic Model

Peter Kaczmar

Peter Kaczmar has served as math teacher for 30 years. Currently, he teaches both the AB and BC versions of AP Calculus. He has served as an AP Calculus Exam Reader since 2004. Peter has a delivered a number of professional development events including: APSI workshops, has taught in the The University of Pennsylvania STEM Teacher Fellows Program, has worked with Johns Hopkins University’s Center for Talented Youth, and has delivered a number of in-house professional development workshops. He has consulted on a popular statistics textbook, as well as, an Algebra video series. Other curricular work found him developing Bridge Courses to help remedy the achievement gap. Through the nomination of former students, Peter has been awarded the MAA’s Edyth Sliffe Award for Distinguished Mathematics Teaching, and was, named in Cornell’s Merrell Scholars Program.

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Institute Faculty

The faculty have been selected for their teaching expertise, creativity, innovations in teaching and experience with the AP* Program curriculum. All faculty members are endorsed and certified by the Middle Atlantic Regional Office of The College Board and have demonstrated a commitment to excellence that is second to none.

Daily Schedule

Classes are scheduled from Tuesday - Friday, 7:30 a.m. - 3:30 p.m.

Class check-in begins at 7 a.m. with as brief orientation at 7:20 a.m.

Participants receive a catered lunch at a waterfront restaurant each day.

Morning and afternoon coffee/snack breaks are provided each day.

An Opportunity for Learning and Interacting

Instructors encourage sharing among participants that will enhance the knowledgeand skills of all participants for effective teaching. The opportunity to exchange and communicate with instructors and colleagues within the Middle Atlantic Region and beyond is a valued support resource for the entire school year.

Course Questions?

Questions/concerns about your particular course can be addressed by going to course description and clicking on the instructor’s name. You will then be able to e-mail the instructor. Any problems call the Lewes Summer Institute office at 302-644-0277.

* This Summer Institute has been endorsed by Advanced Placement Program, AP, Pre-AP, College Board and it’s logo are registered trademarks of the College Board.