Day 02 in Mat360

Today:

• Announcement:
  • Math Club flier
  • Sehnert Banquet and Lecture, October 12th (Monday evening, 6:15). This year we will have Frank Morgan ("Mr. Bubbles!").

• Section 1.1:
  • Short Quiz

  • worksheet study questions

  • section 1.1 summary
    1. Limits and Continuity
    2. Convergence
    3. Differentiable Function
    4. Rolle's Theorem (and Generalized)
    5. Mean Value Theorem
    6. Extreme Value Theorem
    7. Riemann Integral
    8. Weighted Mean Value Theorem for Integrals
    9. Intermediate Value Theorem
    10. Taylor's Theorem

  • Problems from section 1.1:
    • I would use lisp to solve this:

    • You might use your calculators... let's try that.

    • Taylor Series:
      • the error term is derived using the Weighted Mean Value Theorem for Integrals.