• Chapter 3 – Exponential and Logarithmic Functions

     

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

    • Understand the idea of continuous exponential growth and decay

    • Know the principal features of exponential functions and their graphs

    • Know the definition and properties of logarithmic functions

    • Switch between the exponential and logarithmic forms of an equation

    • Understand the idea and possible uses of a logarithmic scale

    • Be familiar with logarithms to the special bases e and 10

    • Solve equations and inequalities with the unknown in the index

    • Use logarithms to identify models of the forms

     

    Chapter 4 – Differentiating Exponentials and Logarithms

     

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

    • Understand how to find the derivative of b^x from the definition

    • Understand the reason for selecting e as the exponential base

    • Know the derivative and integral of e^x

    • Know the derivative of ln x, and how to obtain it

    • Know the integral of 1/x, and be able to use it for both positive and negative x

      Use the extended methods from P1 Chapter 12 to broaden the range of functions that you can differentiate and integrate