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 201, T5F56.
First meeting: September 16, 2014

**Grading: **
Homework assignment for both paper-and-pen and programming will be distributed
weekly to bi-weekly.
The final grade is 40% quiz (pick 4 from 5) + 20% midterm I
+ 20% midterm II + 20% final exam.

**Textbook and References**:
Textbook: R.L. Burden, and J. D. Faires:
Numerical Analysis, 9th edition.

**Class TA: **

**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
- Iterative Techniques in Matrix Algebra

**Syllabus:**

** Matlab Information**

You can start from our class note on matlab before reading these materials.

**Lecture slides and study guides:**

- Study guide for quiz 1 (on homework 02).
- Study guide for quiz 2 (on homework 03) (Updated).
- Study guide for Chap 04 (Midterm 02).

**Homework Assignments:**

- homework for week 02, assigned Sep 26. Sample code for k-digit chopping, for k-digit rounding, how to use them in matlab, and the C version of the header file, and how to include it. Also the sample code for recursive equation. section 1.2 solution. section 1.3 solution.
- Quiz 1 solution.
- homework for week 03, assigned Oct 03. Here is the collection of all the sample codes of the textbook. For matlab users, use those in m2 (compliant with newer version of matlab). section 2.2 solution. section 2.3 solution. section 2.4 solution.
- homework for week 05, assigned Oct 17. section 2.5 solution.
- homework for week 06, assigned Oct 24 (corrected: section 3.4 should be section 3.5. section 3.1 solution. section 3.5 solution.
- Midterm 1 solution.
- homework for week 08, assigned Nov 07. section 4.1 solution. section 4.2 solution.
- homework for week 09, assigned Nov 14. section 4.3 solution. section 4.4 solution.
- homework for week 10, assigned Nov 21. section 4.7 solution. section 4.9 solution.
- An exercise for challenge, assigned Dec 02, and the data files needed for problem 3: f1.txt, f2.txt.
- homework for week 11, assigned Dec 05. section 6.1 solution. section 6.2 solution.
- homework for week 13, assigned Dec 12. section 6.5 solution.
- homework for week 14, assigned Dec 19. section 6.5 solution.
- homework for week 15, assigned Dec 26. section 7.3 solution. section 7.4 solution.
- homework for week 16, assigned Dec 29. section 7.5 solution. section 8.1 solution.
- Supplementary material on some error identities in numerical differentiation and integration.