| 週次 |
授課內容 |
| 第1週 |
*The actual teaching schedule will be adjusted according to students’ progress.*
Introduction to Differential Equations |
| 第2週 |
Solution of First-Order Ordinary Differential Equations (I) |
| 第3週 |
Solution of First-Order Ordinary Differential Equations (II) |
| 第4週 |
Solution of Second-Order Linear Ordinary Differential Equations with Constant Coefficients (I) |
| 第5週 |
Solution of Second-Order Linear Ordinary Differential Equations with Constant Coefficients (II) |
| 第6週 |
Solution of Second-Order Linear Ordinary Differential Equations with Constant Coefficients (III) |
| 第7週 |
Fourier series and transformation |
| 第8週 |
midterm |
| 第9週 |
Sturm-Liouville boundary condition problem and generalized Fourier series (I) |
| 第10週 |
Sturm-Liouville boundary condition problem and generalized Fourier series (II) |
| 第11週 |
Power Series Solutions of Ordinary Differential Equations (I) |
| 第12週 |
Power Series Solutions of Ordinary Differential Equations (II) |
| 第13週 |
special functions - Harmite function |
| 第14週 |
special functions - Legendre function |
| 第15週 |
special functions - Bessel function |
| 第16週 |
Final exam |
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
Studying further special functions, for instance, spherical harmonics fucntion and Laguerre polynomials, etc. |