NCHU Course Outline
Course Name (中) 數學規劃(一)(3309)
(Eng.) Mathematical Programming (I)
Offering Dept Department of Applied Mathematics (Data Science and Computing Program)
Course Type Elective Credits 3 Teacher 陳齊康
Department Department of Applied Mathematics (Data Science and Computing Program) / Undergraduate Language Chinese 英文/EMI Semester 2025-FALL
Course Description This course covers methods for solving various unconstrained and constrained model optimization problems. Applications and computer implementations are emphasized.
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
To prepare students for the basic skills of model-based data analysis and R language.
3.Professional Knowledge in Statistical Analysis
100
Exercises
Lecturing
Written Presentation
Assignment
Attendance
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Getting started with R
Week 2 More tools in R
Week 3 Multivariate normal distribution
Week 4 Linear regression I
Week 5 Linear regression II
Week 6 GCV, AIC and best subset regression
Week 7 Stepwise regression
Week 8 L2-norm regularized (ridge) regression
Week 9 Adaptive weighted ridge regression
Week 10 Nonlinear regression: Regression tree
Week 11 Bootstrap aggregation and random forest regression
Week 12 K-fold cross-validation (CV)
Week 13 Boosted trees
Week 14 Implementing regressions with caret
Week 15 Final report
Week 16 Final report
Self-learning (LASSO regression) Self-learning (overview of regressions)
self-directed
learning

Evaluation
Homework assignments and class attendance watching lecture videos: 45%
Report: 45%
Self-learning: 10%
The grade system is tentative and subject to modification.
Textbook & other References
The elements of statistical learning by Trevor Hastie, Robert Tibshirani and Jerome Friedman
Teaching Aids & Teacher's Website

Office Hours
1:00-2:00 PM Friday
Sustainable Development Goals, SDGs(Link URL)
04.Quality Educationinclude 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 / 7 / 31
The second-hand book website:http://www.myub.com.tw/