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Pure Maths 1142:

By the end of this workbook you will begin to be able to understand:

  • Further differentiation techniques:
    • Implicit differentiation
    • Parametric differentiation
  • Partial Fractions
  • Asymptotes
  • Further integration
    • Indefinite and definite integration
    • More about areas under a graph
  • How to find the centroid (centre of mass) of an area or volume
  • How to find the ‘volume of revolution’ when an area is spun around an axis through 2π radians (360°)
  • How to find the ‘arc length’ on some curves
  • Pappus’ Theorems on how to find the ‘surface area’ and ‘volume of revolution’ when an area is spun round an axis, through 2π

 

Revelation 12:11

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