| 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 cousrse aims to establish the essential foundation of engineering mathematics for engineering students.
|
| 1.The ability to apply the knowledge of math, science, and mechanical engineering. |
| 4.The ability humanities awareness and a knowledge of contemporary issues, and to understand the impact of science and engineering technologies, environmental, societal, and global context. |
| 5.The ability of continuing study and self-learning. |
|
|
|
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Part 1: Ordinary Differential Equations
Chapter 1 Introduction to Differential Equations (Definition and Terminology, Initial-Value Problems) |
| Week 2 |
Part 1: Ordinary Differential Equations
Chapter 1 Introduction to Differential Equations (Differential Equations ad Mathematical Models)
Chapter 2 First-Order Differential Equations (Separable Equations, Linear Equations) |
| Week 3 |
Chapter 2 First-Order Differential Equations (Linear Equations, Exact Equation, Solutions by Substitutions) |
| Week 4 |
Chapter 2 First-Order Differential Equations (Solutions by Substitutions, Linear Models)
|
| Week 5 |
Chapter 3 Higher-Order Differential Equations (Theory of Linear Equations, Reduction of Order) |
| Week 6 |
Chapter 3 Higher-Order Differential Equations (Linear Equations with Constant Coefficients, Undetermined Coefficients) |
| Week 7 |
Chapter 3 Higher-Order Differential Equations (Undetermined Coefficients, Variation of Parameters, ) |
| Week 8 |
Chapter 3 Higher-Order Differential Equations (Cauchy-Euler Equations, Nonlinear Equations, Linear Models: Initial-Value Problems) |
| Week 9 |
Chapter 3 Higher-Order Differential Equations (Linear Models: Initial-Value Problems, Liner Models: Boundary-value Problems, Solving Systems of Linear DEs) |
| Week 10 |
Chapter 4 The Laplace Transform (Definition of the Laplace Transform, Inverse Transforms and Transforms of Derivatives) |
| Week 11 |
Chapter 4 The Laplace Transform (Translation Theorems, Additional Operation Properties, Derivatives of Transforms) |
| Week 12 |
Chapter 4 The Laplace Transform (Transforms of Integrals, Transform of a Periodic Function, Dirac Delta Function) |
| Week 13 |
Chapter 4 The Laplace Transform (Dirac Delta Function, Systems of Linear Equations)
Chapter 5 Series Solutions of Linear Equations (Solutions by Ordinary Points) |
| Week 14 |
Chapter 5 Series Solutions of Linear Equations (Solutions by Ordinary Points, Solutions about Singular Points) |
| Week 15 |
Chapter 5 Series Solutuions of Linear Equations (Solutions about Singular Points, Bessel Functions )
|
| Week 16 |
Chapter 5 Series Solutuions of Linear Equations (Legendre Functions)
Part 4: Fourier Series and Partial Differential Equations
Chapter 12 Orthogonal Functions and Fourier Series (Orthogonal Functions, Fourier Series)
Chapter 12 Orthogonal Functions and Fourier Series (Fourier Cosine and Sine Series, Complex Fourier Series)
Final exam |
self-directed
learning |
|
|
| Evaluation |
1. Home Work and Quiz (15%)
2. 1st Exam (20%) (Chapter 1 & 2)
3. 2nd Exam (20%) (Chapter 3 & 4)
4. 3rd Exam (20%) (Chapter 5)
5. Final Exam (25%) (Chapter 1,2, 3, 4, 5 &12) |
| Textbook & other References |
Testbook：
Dennis G. Zill, and Michael R.Cullen, Advanced Engineering Mathematics, 6th Edition, Jones and Bartlett
References：
1. Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, Inc.
2. Peter V. O’Neil, Advanced Engineering Mathematics, 5th Edition, Thomson |
| Teaching Aids & Teacher's Website |
iLearning 3.0
|
| Office Hours |
Wednesday 10:00~12:00 or Email me to schedule a time
|
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|