Math 481A Lecture Notes
  1. First Example (Patriot Missile)
  2. Limits
  3. Sequences
  4. Theorems on Derivatives
  5. Error
  6. Number Representation
  7. Floating Point Representation
  8. Bisection
  9. Fixed Point Iteration
  10. Newton's Method
  11. Secant Method
  12. Error Analysis
  13. Aitken's and Steffensen's Methods
  14. Synthetic Division and Horner's Method
  15. Müller's Method
  16. Linear Systems [Not covered Fall 2011; for reference only]
  17. Lagrange Interpolating Polynomials
  18. Newton Interpolation
  19. Hermite Interpolation
  20. Cubic Splines
  21. Numerical Differentiation
  22. Richardson Extrapolation (Not Assigned)
  23. Numerical Integration
  24. Least Squares Approximation
  25. More to come ...