Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
讓學生認識複數與複變函數,進而了解如何進行複數分析,藉以解決相關之工程問題。
Let students understand complex numbers and complex functions, and then realize how to conduct complex analysis to solve related engineering problems.
|
1.The ability to apply the knowledge of math, science, and mechanical engineering. |
2.The ability to design and conduct experiments, as well as to analyze the data obtained. |
3.The ability to work with others as a team to design and manufacture products of mechanical engineering systems. |
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. |
6.The knowledge of professional ethics and social responsibilities of a mechanical engineer. |
|
|
|
|
Course Content and Homework/Schedule/Tests Schedule |
Week |
Course Content |
Week 1 |
1. 課程介紹 Introduction of Engineering Mathematics (III)
2. 複數,複變函數 Complex numbers and functions |
Week 2 |
複數,複變函數 Complex numbers and functions |
Week 3 |
複變函數,解析函數 Complex functions and analytic functions |
Week 4 |
解析函數,保角映射 Analytic functions and conformal mapping |
Week 5 |
複數積分 Complex integration |
Week 6 |
複數積分 Complex integration |
Week 7 |
冪級數 Power series |
Week 8 |
期中考 Midterm exam. |
Week 9 |
泰勒級數 Taylor series |
Week 10 |
泰勒級數,洛倫級數 Taylor series, Laurent series |
Week 11 |
洛倫級數 Laurent series |
Week 12 |
洛倫級數,殘值積分法 Laurent series, residue integration |
Week 13 |
殘值積分法 Residue integration |
Week 14 |
複數分析應用於位勢理論 Complex analysis applied to potential theory |
Week 15 |
複數分析應用於位勢理論 Complex analysis applied to potential theory |
Week 16 |
期末考 Final exam. |
Week 17 |
自主學習:特殊座標之邊界值問題(工數二補充) Boundary value problems for special coordinates |
Week 18 |
自主學習:特殊座標之邊界值問題(工數二補充) Boundary value problems for special coordinates |
|
Evaluation |
平時成績40%(點名attendance record 10%、3次小考quiz 30%)
期中考(midterm exam.) 30%
期末考(final exam.) 30% |
Textbook & other References |
教科書:
E. Kreyszig, ”Advanced Engineering Mathematics”, John Wiley.
參考書目:
1.D. G. Zill, P. D. Shanahan, ”A First Course in Complex Analysis with Applications”, Jones and Bartlett.
2.D. G. Zill, M. R. Cullen, ”Advanced Engineering Mathematics”, Jones and Bartlett.
|
Teaching Aids & Teacher's Website |
iLearning 數位教學平台
|
Office Hours |
Tuesday 13:10~14:00
|
Sustainable Development Goals, SDGs |
09.Industry, Innovation and Infrastructure | include experience courses:N |
|