Numerical Analysis (I), Fall 2014.
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. Recitation: T6
First meeting: September 12, 2017
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, J. D. Faires and A. M. Burden:
Numerical Analysis, 10th edition.
Class TA:
- Mr. Chun-Chieh Lin. Office: General III Building, room 738.
Email: jack5656561@gmail.com, Phone: ext 33125.
Office Hour: Wed, 12:10-1:10PM.
- Ms. Yu-Hsuan Guan. Office: General III Building, room 722.
Email: yhguan8128@gmail.com, Phone: ext 33126.
Office Hour: Thu, 12:10-1:10PM.
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
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.
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
V02 (new)
-
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'.
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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 na17f@math.nthu.edu.tw, 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.
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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.
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quiz 05 solution.
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homework for week 15, assigned Dec 22.
____homework 15 solution.
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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.
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Final exam solution.