The authors of the textbook have many materials available on their
website.
Please also take a look at the interactive JAVA applets on numerical analysis
(
Interactive Educational Modules in Scientific Computing) which allow you to
explore many of the important concepts of this class.
Lecture notes below are only available from
uiuc.edu domain. Downloading from any computer on campus
should work. For downloading from off-campus, use VPN.
The section numbers in parenthesis are only
an approximate indication of what was covered in lecture,
since the lectures do not follow the book strictly. For exams
you will be expected to know the material covered in the
lectures, the readings assigned from the book, and material
covered in homeworks.
Combined class lecture notes (
2 slides per page,
8 slides per page)
| Lecture | Date | Topic/Section | Material |
|---|---|---|---|
| 1 | August 24, 2007 | Introduction, Unexpected results, Numerical representation (2.1) | [PDF] |
| 2 | August 29, 2007 | Floating point (2.2) | [PDF] |
| 3 | August 31, 2007 | Floating point (2.2) | [PDF] |
| 4 | September 05, 2007 | Floating point (2.2) | [PDF] |
| 5 | September 07, 2007 | Floating point (2.2), Bisection method (3.1) | [PDF] |
| 6 | September 12, 2007 | Bisection method (3.1), Taylor series (1.2) | [PDF] |
| 7 | September 14, 2007 | Bisection method (3.1), Newton's method (3.2) | [PDF] |
| 8 | September 19, 2007 | Fixed point iterations, Newton's method (3.2) | [PDF] |
| 9 | September 21, 2007 | Polynomial interpolation | [PDF] |
| 10 | September 26, 2007 | Polynomial interpolation (4.1), Interpolation error (4.2) | [PDF] |
| 11 | September 28, 2007 | Polynomial interpolation (4.1), Interpolation error (4.2) | [PDF] |
| 12 | October 3, 2007 | Exam 1 | |
| 13 | October 5, 2007 | Exam 1 solutions | |
| 14 | October 10, 2007 | Barycentric Lagrange interpolation, Interpolation summary | [PDF] |
| 15 | October 12, 2007 | Numerical differentiation (4.3), Function value errors vs. truncation errors | [PDF] |
| 16 | October 17, 2007 | Function value error vs. truncation error, Richardson extrapolation (4.3) | [PDF] |
| 17 | October 19, 2007 | Richardson extrapolation (4.3), Trapezoid rule (5.2), Mean Value theorems (1.2 and 5.2) | [PDF] |
| 18 | October 24, 2007 | Trapezoid rule (5.2), Newton-Cotes error, Method of undetermined coefficients (6.2) | [PDF] |
| 19 | October 26, 2007 | Newton-Cotes rules (6.1), Method of undetermined coefficients (6.2), Midpoint rule | [PDF] |
| 20 | October 31, 2007 | Composite rules (6.1), Improper integrals | [PDF] |
| 21 | November 2, 2007 | Gaussian quadrature (6.2), Orthogonal polynomials : definition and use | [PDF] |
| 22 | November 7, 2007 | Orthogonal polynomials : properties | [PDF] |
| 23 | November 9, 2007 | Exam 2 | |
| 24 | November 14, 2007 | Orthogonal polynomials : examples, existence and three term recurrence, Exam 2 solutions | [PDF] |
| 25 | November 16, 2007 | Introudction to systems of linear equations | [PDF] |
| 26 | November 28, 2007 | Triangular systems, Gaussian elimination | [PDF] |
| 27 | November 30, 2007 | Gaussian elimination, Pivoting | [PDF] |
| 28 | December 5, 2007 | Vector and matrix norms, Condition number, Sensitivity analysis for Ax=b | [PDF] |
| 29 | December 7, 2007 | Sensitivity analysis for Ax=b, Gaussian elimination and LU decomposition | [PDF] |
| -- | Monday December 10, 2007, 7-10pm | Final Exam |