| Relevance of Course Objectives and Core Learning Outcomes(%) | 
Teaching and Assessment Methods for Course Objectives | 
| Course Objectives | 
Competency Indicators | 
Ratio(%) | 
Teaching Methods | 
Assessment Methods | 
Teaching students to have the skills to work with ordinary differential equations, Laplace transforms, series solutions, and matrix operations and applications. 
 
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| 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. | 
 
 
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| Course Content and Homework/Schedule/Tests Schedule | 
| Week | 
Course Content | 
 
| Week 1 | 
Introduction to differential equations			 
 | 
 
| Week 2 | 
First-order differential equations			 
 | 
 
| Week 3 | 
First-order differential equations.  | 
 
| Week 4 | 
First-order differential equations.1st exam. | 
 
| Week 5 | 
Higher-order differential equations							 
 | 
 
| Week 6 | 
Higher-order differential equations | 
 
| Week 7 | 
Higher-order differential equations.  | 
 
| Week 8 | 
Higher-order differential equations. 2nd exam. | 
 
| Week 9 | 
Laplace Transform | 
 
| Week 10 | 
Laplace Transform | 
 
| Week 11 | 
Laplace Transform. 			 
	 | 
 
| Week 12 | 
Laplace Transform. 3rd exam. | 
 
| Week 13 | 
Series Solution of linear equation.  | 
 
| Week 14 | 
Series Solution of linear equation | 
 
| Week 15 | 
Matrices.  | 
 
| Week 16 | 
Matrices. Final exam. | 
 
| Week 17 | 
Self-learning. Engaging in the study and self-practice of engineering mathematics exercises.  | 
 
| Week 18 | 
Self-learning. Engaging in the study and self-practice of engineering mathematics exercises, along with submitting self-practice homework. | 
 
 
 | 
| Evaluation | 
(1) 1st exam 20%. 
(2) 2nd exam 20%. 
(3) 3rd exam 20% 
(4) Final exam 20%. 
(5) Homework and self-learning 20%. | 
| Textbook & other References | 
Textbook: D.G. Zill and M.R. Cullen, Advanced Engineering Mathematics, 7th edition, 
 Jones and Bartlett Publishers, 2021.(滄海書局代理) 
Reference books: Advanced Engineering Mathematics, Erwin Kreyszig,9th Edition, John Wiley & 
 Sons, Inc., 歐亞書局 
Advanced Engineering Mathematics, Peter O’Neil, 8th Edition, Thomson, 華泰文化 | 
| Teaching Aids & Teacher's Website | 
Textbook 
iLearning 數位教學平台 | 
| Office Hours | 
AM 10:00-12:00 on Wednesday  
 
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| Sustainable Development Goals, SDGs(Link URL) | 
| 09.Industry, Innovation and Infrastructure | include experience courses:N |  
 
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