Section outline

  • In this topic, we review ideas of functions and develop the concepts of complex functions. We compare with the concepts of functions of real variables. The topic also discusses the concept of limits of a complex function and highlights the main differences with limits of functions of real variables.

    • Students must
      Mark as done

      Objectives

      By the end of this topic, you should be able to:

      1. Define a complex function and deduce the real and imaginary parts of a complex function.
      2. Evaluate the values of complex functions at a given point.
      3. Determine whether a complex function has a limit at a point or not.
      4. Evaluate limits of complex functions at a given point.

      Learning activities

      1. Read on sections 2.1 through to 2.6 of the course reference book.
      2. Read additional lecture notes provided below.
      3. Watch tutorial videos on complex functions to enhance your understanding.
      4. Attempt the weekly quizzes.
      5. Engage your colleagues in group discussions on the forum.

    • Students must
      Mark as done

      Introduction to complex functions

      Limits of a complex function

    • Discussion Forum 3
      Students must
      Make forum posts: 1
    • MASTERY QUIZ 3
      Students must
      Receive a grade
    • TIMED QUIZ 3
      Not available unless: You achieve higher than a certain score in MASTERY QUIZ 3