Unit 2 Learning Outcomes

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