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 Derivatives
  2. Differentiating Powers of x
  3. Gradients, Tangents & Normals
  4. Increasing & Decreasing Functions

Techniques & Applications of Differentiation

  1. Differentiating Trigonometric, Exponential & Logarithmic Functions
  2. Chain Rule
  3. Product Rule
  4. Quotient Rule
  5. Higher Order Derivatives
  6. Stationary Points
  7. Concavity & Points of Inflection
  8. Derivatives & Graphs

Integration

  1. Introduction to Integration
  2. Integrating Powers of x
  3. Finding the Constant of Integration
  4. Finding Areas Using a GDC

Techniques & Applications of Integration

  1. Integrating Trigonometric, Exponential & Reciprocal Functions
  2. Reverse Chain Rule
  3. Integration by Substitution
  4. Definite Integrals
  5. Negative Integrals
  6. Area Between a Curve and a Line
  7. Area Between 2 Curves

Optimisation

  1. Modelling with Differentiation

Kinematics

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

Basic Limits & Continuity

  1. Introduction to Limits
  2. Continuity & Differentiability

Further Differentiation

  1. First Principles Differentiation
  2. Differentiating Inverse Functions
  3. Implicit Differentiation
  4. Related Rates of Change
  5. Differentiating Reciprocal Trigonometric Functions
  6. Differentiating Inverse Trigonometric Functions
  7. Differentiating Exponential & Logarithmic Functions

Further Integration

  1. Integrating with Reciprocal Trigonometric Functions
  2. Integrating with Inverse Trigonometric Functions
  3. Integrating with Exponential & Logarithmic Functions
  4. Integration by Substitution
  5. Integration by Parts
  6. Integrating with Partial Fractions
  7. Area Between Curve & y-axis
  8. Volumes of Revolution
  9. Modelling with Volumes of Revolution

Differential Equations

  1. Introduction to First Order Differential Equations
  2. Euler's Method
  3. Separation of Variables
  4. Homogeneous Differential Equations
  5. Integrating Factor
  6. Modelling with Differential Equations
  7. The Logistic Equation

Maclaurin Series

  1. Maclaurin Series of Standard Functions
  2. Maclaurin Series of Composites & Products
  3. Differentiating & Integrating Maclaurin Series
  4. Maclaurin Series from Differential Equations

Limits using l'Hôpital's Rule & Maclaurin Series

  1. l'Hôpital's Rule
  2. Limits using Maclaurin Series

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