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. Recitation: T6
First meeting: September 12, 2017
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, J. D. Faires and A. M. Burden:
Numerical Analysis, 10th edition.
- Mr. Chun-Chieh Lin. Office: General III Building, room 738.
Email: email@example.com, Phone: ext 33125.
Office Hour: Wed, 12:10-1:10PM.
- Ms. Yu-Hsuan Guan. Office: General III Building, room 722.
Email: firstname.lastname@example.org, Phone: ext 33126.
Office Hour: Thu, 12:10-1:10PM.
- 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.
Sample codes, slides and study guides:
170912: Generalized Fibonacci (matlab), count grids and find_N (fortran)
170919: More Generalized Fibonacci (matlab): examples in page 32 and 33.
Earlier version posted here, generalized_Fibonacci_v02.m had a few typos.
The new generalized_Fibonacci_v02_1.m is the correct version.
171003: quiz 01, problem 04
171017: solving nonlinear system of equations.
171103: Direct method and Neville's method for polynomial interpolation.
revised slides for Chap 01, V01
slides for Chap 02, V01
slides for Chap 10, V01
slides for Chap 03, V01
slides for Chap 04, V01
Black board note on 'Method of undetermined coefficients'.
Black board note on 'Improper integrals' (new).
slides for Chap 06, V01.
V02 (revised page 44, 45, 49, 57-59.
V03 (revised page 62-64, added strict(ly) in statement and proof.
slides for Chap 07, V01
Black board note on 'Discrete least square problems'.
Study guide for quiz 01.
Study guide for quiz 02.
Study guide for Midterm 01.
Study guide for quiz 03.
Study guide for quiz 04.
Study guide for Midterm 02.
Study guide for quiz 05.
Study guide for Final Exam.
Homework assignment, homework and exam solutions:
- Send code of your homeworks to email@example.com, subject of email:
your_student_id, hwXX (Example: s103000001, hw01).
- Name your code as your-student-id_hw-number_problem-number.extention.
Example: s104000001_hw01_p02.m, s105000002_hw01_p03.c.
This is the only way we can identify your code quickly and give
back to you after reviewing.
homework for week 01, assigned Sep 15. Due Sep 22.
Scanned copy of section 1.2 problems.
plotf.m for problem 4.
____homework 01 solution.
quiz 01 solution.
homework for week 02, assigned Sep 29. Due Oct 06.
____homework 02 solution.
homework for week 03, assigned Oct 01. Due Oct 09.
____homework 03 solution.
quiz 02 solution.
homework for week 04, assigned Oct 06. Due Oct 17.
____homework 04 solution.
homework for week 05, assigned Oct 13.
____homework 05 solution.
Midterm 01 solution.
homework for week 07, assigned Oct 27. Due Nov 07.
____homework 07 solution (updated Nov 08, 11:55PM).
homework for week 08, assigned Nov 03.
____homework 08 solution.
quiz 03 solution.
homework for week 09, assigned Nov 10. Due Nov 17.
____homework 09 solution.
homework for week 10, assigned Nov 17.
____homework 10 solution.
quiz 04 solution.
homework for week 11, assigned Nov 24.
____homework 11 solution (new, section 4.7, problem 11 typo corrected.
Midterm 02 solution.
homework for week 13, assigned Dec 08.
____homework 13 solution.
homework for week 14, assigned Dec 15.
____homework 14 solution.
quiz 05 solution.
homework for week 15, assigned Dec 22.
____homework 15 solution.
homework for week 16 (and 17), assigned Dec 31. (version 04, revised Jan 04, total 9 problems)
Recitation on Fri, Jan 5
____homework 16 solution.
Final exam solution.