| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
This course develops the mathematical skills needed to understand and solve physics problems, with emphasis on methods applicable to advanced physics courses. The first semester focuses on solving differential equations in physics.
|
| 1.Professional knowledge and skills |
| 2.Problem analysis and logical deduction |
|
|
| Exercises |
| Discussion |
| Lecturing |
|
| Attendance |
| Oral Presentation |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
*The actual teaching schedule will be adjusted according to students’ progress.*
Introduction to Differential Equations |
| Week 2 |
Solution of First-Order Ordinary Differential Equations (I) |
| Week 3 |
Solution of First-Order Ordinary Differential Equations (II) |
| Week 4 |
Solution of Second-Order Linear Ordinary Differential Equations with Constant Coefficients (I) |
| Week 5 |
Solution of Second-Order Linear Ordinary Differential Equations with Constant Coefficients (II) |
| Week 6 |
Solution of Second-Order Linear Ordinary Differential Equations with Constant Coefficients (III) |
| Week 7 |
Fourier series and transformation |
| Week 8 |
midterm |
| Week 9 |
Sturm-Liouville boundary condition problem and generalized Fourier series (I) |
| Week 10 |
Sturm-Liouville boundary condition problem and generalized Fourier series (II) |
| Week 11 |
Power Series Solutions of Ordinary Differential Equations (I) |
| Week 12 |
Power Series Solutions of Ordinary Differential Equations (II) |
| Week 13 |
special functions - Harmite function |
| Week 14 |
special functions - Legendre function |
| Week 15 |
special functions - Bessel function |
| Week 16 |
Final exam |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
Studying further special functions, for instance, spherical harmonics fucntion and Laguerre polynomials, etc. |
|
| Evaluation |
| midterm exam 50%. and final exam 50% |
| Textbook & other References |
| Mathematical Methods in the Physical Sciences (3rd edition), Mary L. Boas, Wiley and Advanced engineering mathematics (10th edition), by Erwin Kreyszig |
| Teaching Aids & Teacher's Website |
| Main textbooks and Instructor’s lecture notes |
| Office Hours |
| Students who require additional support may contact the instructor by email to arrange an appointment. |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|