M371 - Alexiades
                            Review1: for Quiz 1
          collect the material from notes and other resources, do Lab1, Lab2 and PS1, PS2.
              This material will also be on the Midterm and Final, so learn it !


Material:
  • floating point numbers and errors:   roundoff notes  
  • Taylor expansion
  • Methods for finding roots (of nonlinear equations)  

    Methods:   For each Method should know: what it is for, idea, advantages/disadvantages
  • Taylor expansion, remainder, estimating error (know formulas)
  • nested form of polynomial for efficient evaluation
  • root finding methods:
      - plotting
      - bisection   (also know basic algorithm)
      - fixed point iteration   (also know basic algorithm)
      - Newton-Raphson   (also know basic algorithm)
      - secant   (idea)