IBMathsDPAnalysis & Approaches (AA)HL5. Calculus

5. Calculus (DP IB Analysis & Approaches (AA))

Get ready for your DP IB Analysis & Approaches (AA) exams with our revision resources. Find everything you need to revise this topic, so you can go into your exam confident and prepared. Teachers and examiners write all our resources, and they’re designed specifically for each exam board. We regularly update them to match the latest syllabus, so you’ll only revise the most accurate, up-to-date information. Explore the collection below to get started.

Differentiation

  1. Introduction to Differentiation
  2. Applications of Differentiation

Techniques & Applications of Differentiation

  1. Differentiating Trigonometric, Exponential & Logarithmic Functions
  2. Techniques of Differentiation
  3. Higher Order Derivatives
  4. Stationary Points
  5. Concavity & Points of Inflection
  6. Derivatives & Graphs

Integration

  1. Introduction to Integration
  2. Applications of Integration

Techniques & Applications of Integration

  1. Integrating Trigonometric, Exponential & Reciprocal Functions
  2. Techniques of Integration
  3. Definite Integrals
  4. Finding Areas

Optimisation

  1. Modelling with Differentiation

Kinematics

  1. Displacement, Velocity & Acceleration
  2. Calculus for Kinematics

Basic Limits & Continuity

  1. Basic Limits & Continuity

Further Differentiation

  1. First Principles Differentiation
  2. Applications of Chain Rule
  3. Implicit Differentiation
  4. Differentiating Further Functions

Further Integration

  1. Integrating Further Functions
  2. Integration by Substitution & by Parts
  3. Integrating with Partial Fractions
  4. Areas & Volumes of Revolution
  5. Modelling with Volumes of Revolution

Differential Equations

  1. Numerical Solutions to Differential Equations
  2. Analytical Solutions to Differential Equations
  3. Modelling with Differential Equations

Maclaurin Series

  1. Maclaurin Series
  2. Maclaurin Series from Differential Equations

Limits using l'Hôpital's Rule & Maclaurin Series

  1. Further Limits

Differentiation

  1. Exam Questions

Techniques & Applications of Differentiation

  1. Exam Questions

Integration

  1. Exam Questions

Techniques & Applications of Integration

  1. Exam Questions

Optimisation

  1. Exam Questions

Kinematics

  1. Exam Questions

Basic Limits & Continuity

  1. Exam Questions

Further Differentiation

  1. Exam Questions

Further Integration

  1. Exam Questions

Differential Equations

  1. Exam Questions

Maclaurin Series

  1. Exam Questions

Limits using l'Hôpital's Rule & Maclaurin Series

  1. Exam Questions
  1. Differentiation
  2. Techniques & Applications of Differentiation
  3. Integration
  4. Techniques & Applications of Integration
  5. Optimisation
  6. Kinematics
  7. Basic Limits & Continuity
  8. Further Differentiation
  9. Further Integration
  10. Differential Equations
  11. Maclaurin Series
  12. Limits using l'Hôpital's Rule & Maclaurin Series
DP IB Analysis & Approaches (AA) Past Papers