Core 3

Topic outline

• General
  

  General

  • News forum
• Functions
  

  Functions
• Transformations of Graphs, and Modulus
  

  Transformations of Graphs, and Modulus
• Inverse Trig and sec, cosec and cot
  

  Inverse Trig and sec, cosec and cot

  • Graphs of sec, cosec and cot Page
• e and ln
  

  e and ln

  • Investigate the gradient of e Page
• Further Differentiation and the Chain Rule
  

  Further Differentiation and the Chain Rule

  • Differentiation of sin and cos Page
• Product Rule and Quotient Rule
  

  Product Rule and Quotient Rule
• Numerical and Iterative Methods
  

  Numerical and Iterative Methods
• Integration (by inspection, substitution, parts and standard integrals)
  

  Integration (by inspection, substitution, parts and standard integrals)
• Volume of Revolution and Numerical Integration
  

  Volume of Revolution and Numerical Integration

  • Formulae you must know:

    Volume of revolution (around x-axis): $\int_{a}^{b} \pi y^{2}\,dx$

    Simpson's Rule (given): 

    Midordinate Rule (given):