Numerical Analysis (I), Fall 2014.
An undergraduate course in Mathematics at the
Department of Mathematics,
National Tsing Hua University.
Class meeting: General III Building, room 201, T5F56.
First meeting: September 16, 2014
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.
- 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
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
For a tutorial, see
A Free Matlab Online Tutorial or
You can start from our
class note on matlab
before reading these materials.
Lecture slides and study guides:
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
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:
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.