Day 03 in Mat360

Today:

• Announcements
  • Can I get your class agreements?
  • We'll start 1.2 next time, so prepare for a quiz!
    • highlights,
    • worksheet.
  • I have the Instructor's solutions manual in my office: feel free to visit it, whenever you wish.
  • Last year we added MAT 497, the capstone course, as a requirement for the major. The chair needs to know if there is enough demand to offer it spring 2010. This is especially important for students that transferred to NKU last year so they are under the new requirements, and they are planning to graduate either May 2010 or December 2010.
    1. How many plan to take MAT 497 in the spring.
    2. For those that do plan to take it, do any have issues about the time of day they can take it (e.g. if they are doing student teaching in the spring) to worry about.

• Section 1.1:
  • Questions/Comments on old stuff?
    • Dirichlet Function -- From MathWorld

  • Return quizzes

  • Let's continue our "Theorem review"
    1. Generalized Rolle's Theorem
    2. Extreme Value Theorem
    3. Riemann Integral
    4. Intermediate Value Theorem
    5. Taylor's Theorem
    6. Mean Value Theorem
    7. Weighted Mean Value Theorem for Integrals

  • Proof of Taylor's Theorem
    • the error term is derived using the Weighted Mean Value Theorem for Integrals.

  • Problems from section 1.1:
    • You want to find software that will allow you to reproduce the Maple work presented in the text (and learn how to do most things on your calculator, of course):
      
    • Taylor Series:
      • on page 13

    • Which others, perhaps from homework?