NCHU Course Outline
Course Name (中) 工程數學(三)(3365)
(Eng.) Engineering Mathematics (III)
Offering Dept Department of Mechanical Engineering
Course Type Elective Credits 3 Teacher 施錫富
Department Department of Mechanical Engineering/Undergraduate Language 中/英文 Semester 2024-FALL
Course Description 學習複數與複變函數,進而了解如何進行複數分析,藉以解決相關之工程問題。
To study complex numbers and complex functions, and then realize how to conduct complex analysis to solve related engineering problems.
Prerequisites 微積分,微積分(一),微積分(二) self-directed learning in the course Y
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.
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Discussion
Lecturing
Other
Quiz
Attendance
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
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.
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 Infrastructureinclude experience courses:N
Please respect the intellectual property rights and use the materials legally.Please repsect gender equality.
Update Date, year/month/day:2024/09/10 11:05:52 Printed Date, year/month/day:2024 / 10 / 13
The second-hand book website:http://www.myub.com.tw/