AP Calculus AB

Explore the key concepts, methods, and applications of single-variable calculus including functions, graphs, and limits, derivatives, integrals, and the Fundamental Theorem of Calculus.

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Two Semesters
  • c
  • c


Jim Gillen



In AP Calculus AB, students learn to understand change geometrically and visually (by studying graphs of curves), analytically (by studying and working with mathematical formulas), numerically (by seeing patterns in sets of numbers), and verbally. Instead of simply getting the right answer, students learn to evaluate the soundness of proposed solutions and to apply mathematical reasoning to real-world models. Calculus helps scientists, engineers, and financial analysts understand the complex relationships behind real-world phenomena. The equivalent of an introductory college-level calculus course, AP Calculus AB prepares students for the AP exam and further studies in science, engineering, and mathematics.

Semesters 1 and 2: Required

  • TI-84 Plus, TI-83, or TI-83 Plus Calculator
    Read “Getting Started” and chapter 1 in the TI Guidebook before the course starts.

Semesters 1 and 2: Optional

  • Calculus: Single Variable, 7th ed. James Stewart (Brooks/Cole, 2008).
    ISBN-10: 0538497831 / ISBN-13: 9780538497831
    Acceptable alternate: 6th ed. (2008). ISBN-10: 0495011614
    Acceptable alternate: 5th ed. (2003). ISBN-10: 0534393667
    Acceptable alternate: 4th ed. (1999). ISBN-10: 0534355625
  • Calculus of a Single Variable, 2nd ed. Jeffery A Cole, Michael Olinick, Dennis Pence, and Earl W. Swokowski (PWS, 1994).
    ISBN-10: 0534939244
    This book is out of print but you may find it used. It is interchangeable with the Stewart text listed above.
  • Cracking the AP Calculus AB & BC Exams, 2012 ed. David S. Kahn (Princeton Review, 2012).
    ISBN-10: 0375427201 / ISBN-13: 9780375427206
    Acceptable alternate: 2009 ed. ISBN-10: 0375428852
    Acceptable alternate: 2008 ed. ISBN-10: 0375766413
    Acceptable alternate: 2006–2007 ed. ISBN-10: 0534355625