| 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 objective of course is to equip students with skills for solving ODEs.
|
| 1.Basic Knowledge in Mathematical Sciences |
| 2.Professional Knowledge in Mathematical Analysis |
| 8.English Language Ability |
|
|
|
| Attendance |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
First order linear differential equation: Method of integrating factor
|
| Week 2 |
First order nonlinear separable differential equation |
| Week 3 |
The existence and uniqueness theorem |
| Week 4 |
Autonomous equations and population dynamics |
| Week 5 |
Qualitative analysis of autonomous equations: phase-line method |
| Week 6 |
Exact equations and integrating factors |
| Week 7 |
Numerical approximations: Euler’s method
|
| Week 8 |
Midterm exam |
| Week 9 |
Homogeneous equations with constant coefficients |
| Week 10 |
Solutions of linear homogeneous equations: the Wronskian |
| Week 11 |
Complex roots of characteristic equations |
| Week 12 |
Repeated roots; Reduction of order |
| Week 13 |
Nonhomogeneous equations; Method of undetermined coefficients |
| Week 14 |
Variation of parameters
|
| Week 15 |
Series solutions near an ordinary point, part 1 |
| Week 16 |
Final exam
|
| Week 17 |
Self-taught: Series solutions near an ordinary point, part 2 |
| Week 18 |
Self-taught: Laplace transforms |
|
| Evaluation |
Homework assignments and quizzes 30%
Midterm 30%
Final 30%
Self-learning 10% |
| Textbook & other References |
| Elementary differential equations and boundary value problems by Boyce and DiPrima (滄海書局) |
| Teaching Aids & Teacher's Website |
|
| Office Hours |
| 2:10 PM-3:00 PM Friday or by appointment |
| Sustainable Development Goals, SDGs |
| 04.Quality Education | include experience courses：N |
|