Advanced Placement · College Board
AP Calculus AB Tutoring & Test Prep
Personalized one-on-one AP Calculus AB coursework support and exam preparation with Vinai.
Major Areas / Sections Covered
Unit 1 · Limits and Continuity
- Limit definition
- Algebraic and graphical limits
- Continuity
- Intermediate Value Theorem
Unit 2 · Differentiation: Definition and Fundamental Properties
- Definition of the derivative
- Power, product, quotient rules
- Derivatives of trig, exp, log functions
Unit 3 · Composite, Implicit, and Inverse Functions
- Chain rule
- Implicit differentiation
- Inverse-function derivatives
Unit 4 · Contextual Applications of Differentiation
- Related rates
- Linear approximation
- L'Hospital's Rule
Unit 5 · Analytical Applications of Differentiation
- Mean Value Theorem
- Extrema and concavity
- Optimization
- Curve sketching
Unit 6 · Integration and Accumulation of Change
- Riemann sums
- Fundamental Theorem of Calculus
- Substitution
Unit 7 · Differential Equations
- Slope fields
- Separable equations
- Exponential models
Unit 8 · Applications of Integration
- Area between curves
- Volumes of revolution
- Accumulation problems
Exam Format
Section I
42 multiple-choice · 1 hour 40 minutes · 50%
MCQ Parts
Part A: 29 questions/62 minutes, no calculator · Part B: 13 questions/38 minutes, graphing calculator required
Section II
6 free-response · 1 hour 30 minutes · 50%
FRQ Parts
Part A: 2 questions/30 minutes, calculator · Part B: 4 questions/60 minutes, no calculator
Delivery
Hybrid digital: questions shown in Bluebook; free-response answers handwritten in a paper booklet
Scoring
AP score of 1–5
Useful Study Resources
Library
AP Calculus AB Library