Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Spring Semester
Year 2018 237991 Engineering Mathematics 2 3.0 3 ▲ WEN-SHYUE CHEN 4EE2C 39 1 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2018	237991	Engineering Mathematics	2	3.0	3	▲	WEN-SHYUE CHEN	4EE2C	39	1

Course Plan：

Instructor WEN-SHYUE CHEN

Email wschen@ntut.edu.tw

Last Updated 2017-12-26 22:16:32

Course Objective 本課程將介紹工程上、物理上系統解析的相關數學工具，內容包括五大項：一常微分方程式：一階，二階，及高階常微分方程，拉譜拉斯轉換，特殊函數。二向量幾何與分析：矩陣行列式及特徵問題。三傅立葉級數，積分及轉換。四偏微分方程及邊界值問題。五複變分析及映射轉換。

Course Schedule Week 1 Introduction; Vector Functions of One Variable, Velocity and Curvature 第1週課程介紹；單變數之向量函數、速度、曲率 Week 2 The Gradient Field, Divergence and Curl 第2週梯度場、散度及旋度 Week 3 Line Integrals, Green’s Theorem 第3週線積分、格林定理 Week 4 Independence of Path and Potential Theory 第4週與積分路徑無關之線積分及位能定理 Week 5 Surface Integrals, Applications of Surface Integrals, Gauss’s Divergence Theorem, Stokes’s Theorem 第5週面積分、面積分的應用；高斯散度定理、史托克定理 Week 6 Compensatory Holiday for Sports Day 第6週運動會補假 Week 7 Fourier Series on [–L, L], Fourier Sine and Fourier Cosine Series 第7週區間–L～L的傅立葉級數、傅立葉正弦與餘弦級數 Week 8 Properties of Fourier Coefficients, Phase Angle Form, Complex Fourier Series 第8週傅立葉係數、相角型式的傅立葉級數、複數型的傅立葉級數 Week 9 ※The Fourier Integral, Fourier Cosine and Sine Integrals, ※The Fourier Transform; Mid-term Exam. 第9週傅立葉積分、傅立葉正弦與餘弦積分式、傅立葉轉換；期中考試 Week 10 Diffusion Problems in a Bounded Medium 第10週有界介質的擴散問題 Week 11 The Heat Equation with a Forcing Term F(x, t) and on the Real Line 第11週具有強迫項F(x, t)與實數線上的熱傳方程式 Week 12 The Two-Dimensional Heat Equation 第12週二維度的熱傳方程式 Week 13 Wave Motion on a Bounded Interval 第13週有界區間之波的運動 Week 14 Wave Motion in an Unbounded Medium 第14週無界介質之波的運動 Week 15 The Wave Equation with a Forcing Term K(x, t) 第15週具有強迫項K(x, t)的波動方程式 Week 16 The Dirichlet Problem for a Rectangle and Disk 第16週矩形與圓盤之Dirichlet的問題 Week 17 The Poisson Integral Formula 第17週波義森積分公式 Week 18 Final Exam. 第18週期末考試

Evaluation and grading policy 1. Homework 10% 2. Attendance 10% 3. Quizzes 20% 4. Midterm exam. 30% 5. Final exam. 30%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Textbook: Advanced Engineering Mathematics 8th Edition Peter V. O’Neil Reference Book：Differential Equations with Boundary-Value Problems 7th Ed. Dennis G. Zill and Michael R. Cullen

The access to curricular consultation

Note
　

Instructor	WEN-SHYUE CHEN
Email	wschen@ntut.edu.tw
Last Updated	2017-12-26 22:16:32
Course Objective	本課程將介紹工程上、物理上系統解析的相關數學工具，內容包括五大項：一常微分方程式：一階，二階，及高階常微分方程，拉譜拉斯轉換，特殊函數。二向量幾何與分析：矩陣行列式及特徵問題。三傅立葉級數，積分及轉換。四偏微分方程及邊界值問題。五複變分析及映射轉換。
Course Schedule	Week 1 Introduction; Vector Functions of One Variable, Velocity and Curvature 第1週課程介紹；單變數之向量函數、速度、曲率 Week 2 The Gradient Field, Divergence and Curl 第2週梯度場、散度及旋度 Week 3 Line Integrals, Green’s Theorem 第3週線積分、格林定理 Week 4 Independence of Path and Potential Theory 第4週與積分路徑無關之線積分及位能定理 Week 5 Surface Integrals, Applications of Surface Integrals, Gauss’s Divergence Theorem, Stokes’s Theorem 第5週面積分、面積分的應用；高斯散度定理、史托克定理 Week 6 Compensatory Holiday for Sports Day 第6週運動會補假 Week 7 Fourier Series on [–L, L], Fourier Sine and Fourier Cosine Series 第7週區間–L～L的傅立葉級數、傅立葉正弦與餘弦級數 Week 8 Properties of Fourier Coefficients, Phase Angle Form, Complex Fourier Series 第8週傅立葉係數、相角型式的傅立葉級數、複數型的傅立葉級數 Week 9 ※The Fourier Integral, Fourier Cosine and Sine Integrals, ※The Fourier Transform; Mid-term Exam. 第9週傅立葉積分、傅立葉正弦與餘弦積分式、傅立葉轉換；期中考試 Week 10 Diffusion Problems in a Bounded Medium 第10週有界介質的擴散問題 Week 11 The Heat Equation with a Forcing Term F(x, t) and on the Real Line 第11週具有強迫項F(x, t)與實數線上的熱傳方程式 Week 12 The Two-Dimensional Heat Equation 第12週二維度的熱傳方程式 Week 13 Wave Motion on a Bounded Interval 第13週有界區間之波的運動 Week 14 Wave Motion in an Unbounded Medium 第14週無界介質之波的運動 Week 15 The Wave Equation with a Forcing Term K(x, t) 第15週具有強迫項K(x, t)的波動方程式 Week 16 The Dirichlet Problem for a Rectangle and Disk 第16週矩形與圓盤之Dirichlet的問題 Week 17 The Poisson Integral Formula 第17週波義森積分公式 Week 18 Final Exam. 第18週期末考試
Evaluation and grading policy	1. Homework 10% 2. Attendance 10% 3. Quizzes 20% 4. Midterm exam. 30% 5. Final exam. 30%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Textbook: Advanced Engineering Mathematics 8th Edition Peter V. O’Neil Reference Book：Differential Equations with Boundary-Value Problems 7th Ed. Dennis G. Zill and Michael R. Cullen
The access to curricular consultation
Note