## 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**:

- Mathematical Preliminaries and Error Analysis
- Solutions of Equations in One Variable
- Interpolation and Polynomial Approximation
- Numerical Differentiation and Integration
- Direct Methods for Solving Linear Systems

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.

### Lecture slides and homework assignments:

**Slides:**
Chap 01 slides.
Chap 02 slides.
Chap 03 slides.
Chap 04 slides.
Chap 06 slides.

**Homework for week 01:**
homework 01.

**Homework for week 02:**
homework 02.

**Homework for week 04:**
homework 04.

**Homework for week 05:**
homework 05.

**Homework for week 06:**
homework 06.

**Homework for week 07:**
homework 07.

**Homework for week 08:**
homework 08.
Sample file to evaluate Lagrange polynomial
via computed Newton's divided differences.

**Homework for week 09:**
homework 09.

**Homework for week 10:**
Sample file to open multiple windows for plotting.
homework 10.

**Homework for week 11:**
homework 11.

**Homework for week 12:**
homework 12.

**Homework for week 13:**
homework 13.

**Homework for week 14:**
homework 14.

**Homework for week 15:**
homework 15 (updated).

**Homework for week 16:**
homework 16 (corrected).

**Homework for week 17:**
homework 17.