Upon the successful completion of this unit, you will be able to:

- define and calculate limits and one-sided limits;
- identify vertical asymptotes;
- define continuity and determine whether a function is continuous;
- state and apply the Intermediate Value Theorem;
- state the Squeeze Theorem, and use it to calculate limits;
- calculate limits at infinity and identify horizontal asymptotes;
- calculate limits of rational and radical functions;
- state the epsilon-delta definition of a limit, and use it in simple situations to show a limit exists;
- draw a diagram to explain the tangent-line problem;
- state several different versions of the limit definition of the derivative, and use multiple notations for the derivative;
- describe the derivative as a rate of change, and give some examples of its application, such as velocity; and
- calculate simple derivatives using the limit definition.

Last modified: Tuesday, June 14, 2016, 3:29 PM