| Week |
Course Content |
| Week 1 |
Chapter 1: Introduction |
| Week 2 |
Chapter 2:
2.1 Method of integrating factors
2.2 Separable differential equations |
| Week 3 |
2.3 Modeling with first-order differential equations |
| Week 4 |
2.4 Differences between linear and nonlinear differential equations |
| Week 5 |
2.5 Autonomous differential equations and population dynamics |
| Week 6 |
2.6 Exact differential equations and integrating factors |
| Week 7 |
2.7 Numerical approximations: Euler's method |
| Week 8 |
期中考 |
| Week 9 |
The existence and uniqueness theorem |
| Week 10 |
First-order difference equations |
| Week 11 |
Homogeneous second-order differential equations with constant coefficients
Solutions of Linear Homogeneous Equations; the Wronskian |
| Week 12 |
Complex roots of the characteristic equation
Repeated roots and reduction of order |
| Week 13 |
Method of undetermined coefficients
|
| Week 14 |
Variation of parameters
|
| Week 15 |
General theory of nth order linear differential equations
|
| Week 16 |
期末考
|
self-directed
learning |
01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.
02.Viewing multimedia materials related to industry and academia.
03.Preparing presentations or reports related to industry and academia.
|