NCHU Course Outline
Course Name (中) 高等數值方法(一)(6597)
(Eng.) Advanced Numerical Methods (I)
Offering Dept Department of Applied Mathematics
Course Type Elective Credits 3 Teacher SHIH YIN TZER
Department Graduate Institute of Data Science and Information Computing/Graduate Language English Semester 2026-FALL
Course Description 矩陣計算是研讀AI、數據科學的基本工具︒本課程是研讀矩陣計算的入門,除了數據模擬的基本概念外,本課程能提供學生實用性的識,當與實務數據結合使用時,可以解決實際的問題︒
Matrix computation is a basic tool for studying AI and data science. This course is an introduction to studying matrix computation and analysis. In addition to the basic concepts of data simulation, this course can provide students with practical knowledge. After several home-works with practical data, students can solve practical problems.



Prerequisites
self-directed learning in the course Y
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
1. Matrix theories, 2. Numerical analysis, 3. Solve linear system, 4. Numerical methods for differential equations




Lecturing
Discussion
Exercises
Attendance
Written Presentation
Oral Presentation
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Matrix theories
Week 2 SVD for imaging process
Week 3 Solve linear system
Week 4 Solve linear system
Week 5 Solve linear system
Week 6 Numerical PDE solution: finite difference method
Week 7 Numerical PDE solution: finite difference method
Week 8 Numerical PDE solution: finite element method
Week 9 Numerical PDE solution: finite element method
Week 10 Numerical PDE solution: finite element method
Week 11 Numerical PDE solution: finite element method
Week 12 Midterm
Week 13 Numerical ODE solution
Week 14 Numerical ODE solution
Week 15 Numerical ODE solution
Week 16 Final exam
self-directed
learning
   01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.
   03.Preparing presentations or reports related to industry and academia.

Evaluation
Homeworks and projects




Textbook & other References
Golub & Von Loan, Matrix Computations, 3rd Ed. , John Hopkins University, 1996.
Teaching Aids & Teacher's Website

Office Hours
[office hours] Monday 1:00 - 3:00 PM



Sustainable Development Goals, SDGs(Link URL)
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2026/08/17 20:20:18 Printed Date, year/month/day:2026 / 8 / 18
The second-hand book website:http://www.myub.com.tw/