| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| Students will be able to solve the PDEs by applying the characteristic method and Fourier series. In addition, students will learn the maximum principle and basic knowledge of the harmonic function such as the Green's function. |
| 1.Basic Knowledge in Mathematical Sciences |
| 7.Mathematical and Statistical software skills |
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| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
characteristic method and transport equation |
| Week 2 |
characteristic method and transport equation |
| Week 3 |
wave equation |
| Week 4 |
wave equation |
| Week 5 |
1st midterm |
| Week 6 |
heat equation |
| Week 7 |
heat equation |
| Week 8 |
reflection and extension method |
| Week 9 |
reflection and extension method |
| Week 10 |
2nd midterm |
| Week 11 |
separation of variables and Fourier series |
| Week 12 |
separation of variables and Fourier series |
| Week 13 |
Laplace equation and Green’s function |
| Week 14 |
Laplace equation and Green’s function |
| Week 15 |
Laplace equation and Green’s function |
| Week 16 |
final exam |
self-directed
learning |
study the assigned materials |
|
| Evaluation |
participation: 10%
1st midterm: 30%
2nd midterm: 30%
final exam: 30% |
| Textbook & other References |
| Walter A. Strauss, Partial Differential Equations: An Introduction, 2nd Edition. |
| Teaching Aids & Teacher's Website |
| Walter A. Strauss, Partial Differential Equations: An Introduction, 2nd Edition. |
| Office Hours |
| appointment by email |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|