2.2 Functions of a real variable chapter contents

By the end of this chapter, you will have:

$\diamond$ reviewed the notion of a real variable;

$\diamond$ learned the general definition of a function;

$\diamond$ reviewed limits of a real variable;

$\diamond$ seen graphs of continuous and discontinuous functions;

$\diamond$ revised the notion of composition of functions and inverse of function;

$\diamond$ learned how to define the exponential function by a series;

$\diamond$ learned properties of the hyperbolic and natural logarithm functions;

$\diamond$ learned the definition of real powers.

For information, the notes include results about trigonometric functions which are assumed as prior knowledge from $A$ level.