This collection provides learning materials for all topics in the College Board’s course description for an AP Calculus AB course, as well as a small number of additional topics, such as L’Hopital’s Rule. The standards contained here are modeled after the Indiana Academic Standards for Mathematics – Calculus (Adopted April 2014 – Standards Correlation Guide Document 5-28-2014).
Notes regarding this course:
• There is content which is beyond what is currently contained in the AP Calculus AB course description, i.e. Logarithmic Differentiation and L’Hopital’s Rule. Both of these are useful topics to cover, and L’Hopital’s Rule, while not now a part of AP CalculusAB, will be added to the AP Calculus AB course description for the 2016-2017 academic year.
• The collection is organized into five broad categories: Limits & Continuity (LC), Derivatives (D), Applications of Derivatives (AD), Integrals (I), and Applications of Integrals (AI). This categorization aligns closely, but not exactly, with the AP course description. Some specific topics could be placed in more than one category, e.g. Slope Fields could be placed in Applications of Derivatives or Integrals. Regardless of the categorization, all content in the AP Calculus AB Course Description is covered in this course.
• The sequencing of the topics generally, but not rigidly, follows the sequence in which the course would be taught. While the categories would generally be covered in the order presented, specific content within the categories could be effectively covered in a number of different sequences.