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A-level Mathematics for Year 13 - Course 1: Funct

What you'll learn

Skip What you'll learn
By the end of this course, you'll be able to: 
  • Define a mapping and a function
  • Define the domain and range for a function
  • Combine functions to create a composite function
  • Find the inverse of a function
  • Define a sequence using an nth term formula and an inductive definition
  • Define an arithmetic and a geometric sequence
  • Use sigma notation to define a series
  • Expand a binomial expression for both a positive integer index and for an index which is not a positive integer
  • Use radians as a measure of angle
  • Find arc lengths, areas of sectors and areas of segments on circles where angles are in radians
  • Use small angle approximations for sine, cosine and tangent functions
  • Find multiple solutions to trigonometric equations
  • Use the reciprocal trigonometric functions
  • Use the inverse trigonometrical functions
  • Use trigonometrical identities
  • Derive and use the trapezium rule to find the area under a curve
  • Approximate the root of an equation using a sign change method
  • Approximate the root of an equation using the Newton-Raphson method
  • Approximate the root of an equation by fixed point iteration

Offered By:  ImperialX

Course Duration:  7 WEEKS

  • ₹ 3602