NCHU Course Outline
Course Name (中) 數據分析數學(7761)
(Eng.) Mathematical Analysis to Data Science
Offering Dept Executive Master Program in Big Data
Course Type Elective Credits 3 Teacher SHIH YIN TZER
Department Executive Master Program in Big Data / (W)Graduate Language Chinese Semester 2026-SPRING
Course Description 數據科學的基礎數學介紹以及應用矩陣計算作資料分析、數學建模的分析以及應用
Prerequisites
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
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知識,當與實務數據結合使用時,可以解決實際的問題︒
3.Professional Knowledge in Data Science
4.Mathematical and Statistical Software Skills
50
50
topic Discussion / Production
Exercises
Discussion
Lecturing
Written Presentation
Attendance
Assignment
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 矩陣理論分析
Week 2 矩陣理論分析
Week 3 SVD處理影像作壓縮
Week 4 矩陣正交性應用:最佳化計算
Week 5 矩陣正交性應用:最佳化計算
Week 6 矩陣正交性應用:最佳化計算
Week 7 Tensor Decomposition
Week 8 Tensor Decomposition
Week 9 期中作業報告
Week 10 Clustering and NMF
Week 11 Clustering and NMF
Week 12 Classification of Handwritten Digits
Week 13 Classification of Handwritten Digits
Week 14 PCA & MDS
Week 15 PCA & MDS
Week 16 期末報告與複習

self-directed
learning
   01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.
   02.Viewing multimedia materials related to industry and academia.
   03.Preparing presentations or reports related to industry and academia.
   06.Participation in field trips and outdoor instructional activities at other NCHU campuses or branches, including experimental forests or test sites.

Evaluation
期中報告(50%)
期末報告(50%)
Textbook & other References
1. Lars Elden, Matrix Methods in Data Mining and Pattern Recognition, SIAM 2007.
2. Golub & Von Loan, Matrix Computations, 3rd Ed. , John Hopkins University, 1996.
3. Yuan Yao, A Mathematical Introduction to Data Science, Bejing University, 2014
Teaching Aids & Teacher's Website

Office Hours
再另行公告
Sustainable Development Goals, SDGs(Link URL)
07.Affordable and Clean Energy   08.Decent Work and Economic Growth   09.Industry, Innovation and Infrastructureinclude experience courses:Y
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2026/01/08 12:51:59 Printed Date, year/month/day:2026 / 3 / 18
The second-hand book website:http://www.myub.com.tw/