## AP Calculus AB

### AP Calculus AB

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)
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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