Class Notes

Date Topics
Sept. 1 Bisection Method

Matlab session

Sept. 3 Bisection Method and FPI

Matlab session

Sept. 8 Main Theorem on FPI and Nested Multiplication

Matlab session

Sept. 10 Convergence of FPI and Binary Numbers

Matlab session

Sept. 15 Multiplicity, Newton's Method, and Floating Point Representation

Matlab session

Sept. 17 Convergence Rate of Newton's Method, More on Floating Point Arithmetic

Matlab session

Sept. 22 Convergence Rate of Newton's Method, Review of 0.1 - 0.3, 1.1 - 1.4

Sept. 29 Loss of Significance, Secant Method etc.

Oct. 1 Gaussian Elimination

Matlab session

Oct. 6 Operation Count and LU Factorization

Oct. 8 More LU Factorization, Condition Number

Oct. 15 Vector and Matrix Norms, Swamping, Partial Pivoting, and Permutation Matrices

Oct. 20 PA = LU and the Jacobi Method

Matlab session

Oct. 22 Iterative Methods and Intro to Polynomial Interpolation

Matlab session

Oct. 27 Polynomial Interpolation and Review for Exam 2

Nov. 3 Interpolation and Software

Matlab session

Nov. 5 Interpolation Error Formula

Matlab session

Nov. 10 Chebyshev Interpolating Points

Nov. 12 Cubic Splines

Nov. 17 Bezier Curves

Matlab session

Nov. 19 Least Squares: the Normal Equations

Matlab session

Nov. 24 Least Square Models

Matlab session