Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Fall Semester
Year 2026 365990 Numerical Analysis 1 3.0 3 ★ Chia-Chi Chiu GMRE 1 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	365990	Numerical Analysis	1	3.0	3	★	Chia-Chi Chiu	GMRE	1	0

Course Plan：

Instructor Chia-Chi Chiu　Office Hours

Email ccchiu@ntut.edu.tw

Last Updated 2026-06-21 16:31:02

Course Objective This is the first course in numerical analysis for graduate students. The objectives of the course include: (1) Development and applications of numerical methods when analytical techniques are not available; (2) Numerical differentiation and integration; (3) Numerical solution of ODEs and PDEs; (4) To get familiar with different types of commercial software.

Course Schedule Week 1 Introduction, some useful software and python, Interpolation (Homework 1) Week 2 Numerical differentiation (Homework 2) Week 3 Numerical integration (Homework 3) Week 4 Numerical solution of ODEs Week 5 Numerical solution of ODEs (Homework 4) Week 6 Numerical solution of PDEs Week 7 Numerical solution of PDEs (Homework 5) Week 8 (Midterm break) Week 9 DFT and FFT Week 10 Finite element method Week 11 Finite element method: COMSOL Week 12 (Conference break) Week 13 Finite difference method: FLAC Week 14 Discrete element method: 3DEC Week 15 Discrete element method: PFC Week 16 Presentation and discussion Week 17-18 Report adjustment and submission

Evaluation and grading policy Homework (60%), Project Presentation & Report (40%), Attendance (+10%)

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Parviz Moin (2010), Fundamentals of engineering numerical analysis, second edition. Cambridge University press.

The access to curricular consultation 寫Email或至材資館304室找老師

Expanding teaching and resources ● 無 (None)

The course corresponds to the SDGs SDG4：優質教育（Quality Education）

Does the course incorporate AI ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）

Note
During Weeks 17-18, students are required to improve their work based on the feedback received from the Week 16 oral presentations, and submit the revised written report for final grading.

Instructor	Chia-Chi Chiu　Office Hours
Email	ccchiu@ntut.edu.tw
Last Updated	2026-06-21 16:31:02
Course Objective	This is the first course in numerical analysis for graduate students. The objectives of the course include: (1) Development and applications of numerical methods when analytical techniques are not available; (2) Numerical differentiation and integration; (3) Numerical solution of ODEs and PDEs; (4) To get familiar with different types of commercial software.
Course Schedule	Week 1 Introduction, some useful software and python, Interpolation (Homework 1) Week 2 Numerical differentiation (Homework 2) Week 3 Numerical integration (Homework 3) Week 4 Numerical solution of ODEs Week 5 Numerical solution of ODEs (Homework 4) Week 6 Numerical solution of PDEs Week 7 Numerical solution of PDEs (Homework 5) Week 8 (Midterm break) Week 9 DFT and FFT Week 10 Finite element method Week 11 Finite element method: COMSOL Week 12 (Conference break) Week 13 Finite difference method: FLAC Week 14 Discrete element method: 3DEC Week 15 Discrete element method: PFC Week 16 Presentation and discussion Week 17-18 Report adjustment and submission
Evaluation and grading policy	Homework (60%), Project Presentation & Report (40%), Attendance (+10%)
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Parviz Moin (2010), Fundamentals of engineering numerical analysis, second edition. Cambridge University press.
The access to curricular consultation	寫Email或至材資館304室找老師
Expanding teaching and resources	● 無 (None)
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
Does the course incorporate AI	● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
Note	During Weeks 17-18, students are required to improve their work based on the feedback received from the Week 16 oral presentations, and submit the revised written report for final grading.