| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| The course aims to teach the mathematical techniques and related knowledge needed to understand and solve physics problems, equipping students with fundamental mathematical skills. Most importantly, it introduces how these skills can be applied in related specialized physics subjects. The course next semester will focus on linear algebra in physics. |
| 1.Professional knowledge and skills |
| 2.Problem analysis and logical deduction |
|
|
|
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
*實際教學進度將視學生吸收情況調整*
orientation |
| Week 2 |
matrices |
| Week 3 |
algebra of matrices |
| Week 4 |
inverse of matrices (I) |
| Week 5 |
inverse of matrices (II) |
| Week 6 |
inverse of matrices - applications |
| Week 7 |
linear transformation |
| Week 8 |
midterm exam |
| Week 9 |
eigensystem |
| Week 10 |
diagonaliztion of matrices |
| Week 11 |
diagonaliztion of matrices - applications |
| Week 12 |
special matrices |
| Week 13 |
special matrices - applications |
| Week 14 |
Dirac notation in linear algebra |
| Week 15 |
principal components analysis (I) |
| Week 16 |
final exam |
self-directed
learning |
03.Preparing presentations or reports related to industry and academia.
|
|
| Evaluation |
| midterm 50% and final 50% |
| Textbook & other References |
| ADVANCED ENGINEERING MATHEMATICS - by ERWIN KREYSZIG HERBERT KREYSZIG, and EDWARD J. NORMINTON |
| Teaching Aids & Teacher's Website |
| Textbook and instructor-prepared lecture notes |
| Office Hours |
| Students who need assistance may schedule an appointment with the instructor via email. |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|