Class Notes

Date Topics
Aug. 29 Sources of Error, IEEE floating-point, and conditioning (Chapter 2)
Sept. 5 NO CLASS
Sept. 12 Solving Linear Systems (Chapter 3)
Sept. 19 Linear Least Squares (Chapter 3)
Sept. 26 Eigenvalue Problems (Chapter 5)
Oct. 3 Singular Value Decomposition (SVD) (Chapter 5)
Oct. 11 Nonlinear Equations (Chapter 6)
Oct. 17 Optimization, Maximum Likelihood Estimation (Chapter 7)
Oct. 24 Midterm Exam #1

Interpolation (Chapter 8)

Oct. 31 Orthogonal Polynomials and Approximation Theory (Chapters 8 & 10)
Nov. 7 Numerical Integration and Differentiation (Chapter 9)
Nov. 14 Initial Value Problems for ODEs (Chapter 11)
Nov. 21 Midterm Exam #2

Boundary Value Problems for ODEs (Chapter 12)

Nov. 28 Boundary Value Problems for ODEs (Chapter 12)
Dec. 5 Partial Differential Equations and Sparse/Iterative Solvers