Numerical Analysis (I), Fall 2010.

An undergraduate course in Mathematics at the Department of Mathematics, National Tsing Hua University.

Instructor: Professor Wei-Cheng Wang,

Class meeting: General III Building, room 203, T56F5. First meeting: September 14, 2010

Grading: Homework assignment for both paper-and-pen and programming will be distributed weekly to bi-weekly. The final grade is 40% (homework+quiz, mostly on quiz) + 20% midterm I + 20% midterm II + 20% final exam.

Class attendance is required. Attendance will be taken occasionally. If you must miss class, you must email me in advance with some kind of explanation.

Textbook and References: Textbook: R.L. Burden, and J. D. Faires: Numerical Analysis, 8th edition. Here are the sample codes of the textbook.

Class TA: Mr. Sheng-Yao Lin (Office: 212, ext 33066)

Course description:

Syllabus 2010/10/16 (older). 2010/11/20 (old). updated 2010/12/06.

Matlab Information

Matlab is an excellent environment for experimentation in scientific computing. It is not the most efficient environment for large-scale simulations, although with some effort, Matlab can be used in conjunction with C and Fortran routines. Matlab is a product of The Mathworks. For a tutorial, see A Free Matlab Online Tutorial or Another Tutorial
You can start from our class note on matlab before reading these materials.

Supplement Materials:

Here is an excellent note on IEEE arithmetic by Professor Michael Overton as a supplement reading material for Chap 1.

Study guide for quiz 1. Quiz 01 answer.

Study guide for quiz 2. Quiz 02 answer.

Midterm 01 answer.

Study guide for quiz 3. Quiz 03 answer.

Study guide for quiz 4. Quiz 04 answer.

Midterm 02 answer.

Study guide for quiz 5. Quiz 05 answer.

Study guide for quiz 6. Quiz 06 answer.

Final Exam answer.

semester grade (updated).

details for homework average.

Lecture slides and homework assignments:

Homework and slides for week 01: Chap 01 slides. homework 01. Answers 01.

Homework and slides for week 02: Bisection slides. homework 02. Answers 02.

Homework and slides for week 04: Fixed Point Iteration slides. homework 04. Answers 04 (with sample codes).

Homework and slides for week 05: Newton's Method and Error Analysis slides. homework 05. Answers 05.

Homework and slides for week 06: Chap 02 slides (new). homework 06. Answers 06.

Homework and slides for week 07: Interpolation and Lagrange Polynomial slides. homework 07. Answers 07.

Homework and slides for week 08: Divided Difference Hermite Interpolation slides. homework 08. Sample file to evaluate Lagrange polynomial via computed Newton's divided differences. Answers 08.

Homework and slides for week 09: Hermite Interpolation slides. homework 09. Answers 09.

Homework and slides for week 10: Chap 03 slides. Sample file to open multiple windows for plotting. homework 10. Answers 10.

Homework and slides for week 11: Numerical Differentiation slides. Richardson's Extrapolation slides. homework 11. Answers 11.

Homework and slides for week 12: Elements of Numerical Integration slides. homework 12. Answers 12.

Homework and slides for week 13: Composite Integration slides. Gaussian Quadrature slides, preview version. homework 13. Answers 13 (updated).

Homework and slides for week 14: homework 14. Answers 14.

Homework and slides for week 15: homework 15 (updated). Answers 15.

Homework and slides for week 16: homework 16 (corrected). Answers 16.

Homework and slides for week 17: Chap 06 slides. homework 17. Answers 17.