| 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. SVD for imaging process, 3. Solve linear system and optimization, 4. Introduction to data science
|
| 1.Mathematical Thinking and Logic |
| 2.Professional Knowledge in Mathematical Analysis |
| 4.Theory of Mathematical Analysis and Mechanics |
|
|
| Lecturing |
| Discussion |
| Exercises |
|
| Attendance |
| Written Presentation |
|
| 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 |
Orthogonality and the optimization |
| Week 5 |
Solve nonlinear function and optimization |
| Week 6 |
ODE Solvers |
| Week 7 |
ODE Solvers |
| Week 8 |
Numerical PDE solution: finite difference method |
| Week 9 |
Numerical PDE solution: finite difference method |
| Week 10 |
Numerical PDE solution: finite element method |
| Week 11 |
Numerical PDE solution: finite element method |
| Week 12 |
Numerical PDE solution: finite element method |
| Week 13 |
Tensor Decomposition |
| Week 14 |
Classification of Handwritten Digits |
| Week 15 |
Classification of Handwritten Digits |
| Week 16 |
PCA & MDS |
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 |
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 |
[office hours] Monday 1:00 - 3:00 PM
|
| Sustainable Development Goals, SDGs(Link URL) |
| 07.Affordable and Clean Energy 09.Industry, Innovation and Infrastructure | include experience courses：N |
|