• Chapter 14 – The Binomial Expansion

     

    When students have completed this lesson they should be able to:

    • Expand (1+x)^n in ascending powers of x
    • Know that the expansion is valid for |x| < 1
    • Understand how to use expansions to find approximations
    • Know how to extend the method to expand powers of more general expressions

     

    Chapter 15 – Rational Functions

     

    When students have completed this lesson they should be able to:

    • Simplify rational functions by cancelling
    • Add, subtract, multiply and divide rational functions
    • Split simple rational functions into their partial fractions
    • Use partial fractions to integrate some rational functions and to find binomial expansions