Day 14 in Mat360

Today:

• Announcements
  • Return of short quiz over error analysis
  • Homework on sections 2.1 and 2.2 due today.
  • Reminders:
    • Problems for Newton's Method: 2; 4a; 5b,c; 7(b,c); 17; 18; 24; 33 (due Monday, 9/28)
    • Our first exam is Friday, 10/2 -- just FYI! It will cover through section 2.4, which we start next time. The homework for 2.4 may appear on the exam (rather than collecting it, I sometimes use this approach). So you want to be able to do the homework....
  • section 2.6 worksheet (note: we're skipping 2.5)

• Section 2.4: Error Analysis for Iterative Methods
  • section 2.4 worksheet
  • section 2.4 summary

  • Four things to do today:
    1. Demonstrate the first inequality of our summary:

    2. #13, p. 83: Demonstrate how FPI functions can be found
    3. #14, p. 83: Demonstrate that Secant method has order of convergence the golden mean:
    4. Demonstrate how to handle multiplicity