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:**

- Temporary Syllabus (updated Aug 29).
- Syllabus (updated Oct 03).
- Syllabus (updated Oct 29).
- Syllabus (updated Oct 31, corrected a few typos from 171029).
- Syllabus (updated Nov 03, added section 3.2).
- Syllabus (updated Dec 18, revised exam time for q5 qnd final).

** Matlab Information**

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'.
- 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.
- 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.