C1 Introduction to Differential Calculus

This section covers:

  1. Rates of Change
  2. Instantaneous Rates of Change
  3. Limits
  4. The gradient of a tangent
  5. The derivative function
  6. Differentiation from first principles

C2 Rules of Differentiation

This section covers:

  1. Simple Rules of Differentiation
  2. Product Rules: Chain, Product, Quotient
  3. Derivatives of Exponential and Logarithmic Functions
  4. Derivatives of Trigonometric Functions
  5. Second Derivatives

C3 Properties of Curves

This section covers:

  1. Tangents
  2. Normals
  3. Increasing and Decreasing
  4. Stationary Points
  5. Shape
  6. Inflection Points
  7. Understanding Functions and Their Derivatives

C4 Applications of Differentiation

This Mini takes a look at

  1. Rates of Change
  2. Optimisation

C5 Introduction to Integration

This section addresses:

  1. Approximating Area under a curve
  2. Riemann Integrals
  3. Anti Differentiation
  4. Fundamental Theorem of Calculus

C6 Techniques For Integration

This section covers the following:

  1. Discovering Integrals
  2. Rules for Integration
  3. Particular Values
  4. Integrating f(ax + b)
  5. Integrating by Substitution

C7 Definite Integrals

This section covers:

  1. Definite Integrals
  2. Area Under a Curve
  3. Area Above a Curve
  4. Area Between Functions
  5. Problem Solving