AP Calculus AB

Summer Courses:

Advanced Courses

AP Calculus AB

Grade Level:
Grade 9-12
Course Dates:
June 19-July 14
Course Pricing:
  • $1620
Course Logistics:
Duration: 180 minutes (3 hours)
Number of Classes : 20 Classes
Occurs: Weekdays (1:30pm-4:30pm)
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Course Topics:

Course Topics are organized as six modules with five granular topics covered under each module. If a summer course offers sessions A and B, please note both sessions will cover the same content as described below. Click through below to see all modules/topics for this course.

01 - Limits & Continuity

  • Introduction to the Idea of Limits
  • Left and Right Hand Limits
  • Limits involving Infinity
  • The Squeeze Theorem
  • Continuity

02 - Introduction to Differentiation

  • Definitions and Notation
  • Fundamental Derivative Rules (connecting these to the notion of derivatives of a limit)
  • Derivatives of Logarithmic and Exponential Functions
  • Derivatives of Trigonometric Functions
  • Implicit Differentiation

03 - Applications of Derivatives

  • Extrema, Graphing, Concavity
  • Optimization (word problems)
  • Approximations, Linearization, L'Hôpital's Rule
  • Related Rates
  • Mean / Intermediate Value Theorem

04 - Introduction to Integration

  • Definition, notion of an integral
  • Fundamental Theorem of Calculus - Statement and Intuition
  • Applications of the Fundamental Theorem of Calculus
  • Calculating Antiderivatives
  • Various Riemann sums

05 - Methods of Integration

  • U-Substitution
  • Trigonometric Substitution
  • Integration by Parts
  • Partial Fraction Decomposition
  • Improper Integrals

06 - Definite Integrals and Applications

  • Definite Integral Manipulations and Simplifications
  • Areas of Bounded Regions
  • Volume of Solids and Revolutions
  • Arc Length
  • Moment of Inertia
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