Day 11 in Mat360

Today:

• Announcements
  • Collect homework, 2.1
  • Quiz over Section 2.3

• Section 2.2: Fixed Point Iteration
  • Problems from section 2.2:
    • #1

  • Why Fixed Point Iteration is generally linear in convergence

• Questions/Comments on old stuff?

• Section 2.3: Newton's Method
  • section 2.3 worksheet
  • section 2.3 summary

  • Derivation of Newton's method (you should be able to do this)

  • Why it's quadratic convergence

  • #1, p. 62 (reprise)

  • The Secant method (and regula falsi)

Links:

• Using Newton's method to make pretty pictures....