AP Calculus AB
Summer Courses
Advanced Courses
AP Calculus AB
Grade Level:
Grade 9-12
Course Dates:
June 17, 2024 - July 12, 2024
Course Pricing:
$1620
Course Logistics:
Duration: 180 minutes (3 hours)
Number of Classes: 20 Classes
Occurs: Weekdays (1:30pm-4:30pm)
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
