| 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.
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| 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. |
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| 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 |
停課 (中秋節 Moon festival) |
| Week 3 |
複數,複變函數 Complex numbers and functions |
| Week 4 |
複變函數,解析函數 Complex functions and analytic functions |
| Week 5 |
解析函數,保角映射 Analytic functions and conformal mapping |
| Week 6 |
第一次段考(期中考) Midterm exam. |
| Week 7 |
複數積分 Complex integration |
| Week 8 |
複數積分, 冪級數 Complex integration, Power series |
| Week 9 |
泰勒級數 Taylor series |
| Week 10 |
洛倫級數 Laurent series |
| Week 11 |
第二次段考(期中考) Midterm exam. |
| 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 |
第三次段考(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 |
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| Evaluation |
平時成績：10%(點名)
三次段考：每次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.
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| Teaching Aids & Teacher's Website |
iLearning 數位教學平台
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| Office Hours |
Tuesday 13:10~14:00
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| Sustainable Development Goals, SDGs |
| 09.Industry, Innovation and Infrastructure | include experience courses：N |
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