NCHU Course Outline
Course Name (中) 數據分析數學(7778)
(Eng.) Mathematical Analysis to Data Science
Offering Dept Executive Master Program in Artificial Intelligence and Data Science
Course Type Elective Credits 3 Teacher SHIH YIN TZER
Department Executive Master Program in Artificial Intelligence and Data Science(W)Graduate Language 中/英文 Semester 2025-FALL
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
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
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︒
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 Text Mining
Week 15 PCA & MDS
Week 16 PCA & MDS 期末報告與複習 期末報告與複習
self-directed
learning

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
週一 10:00-12:00 (預約)
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:None Printed Date, year/month/day:2025 / 6 / 18
The second-hand book website:http://www.myub.com.tw/