Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2024	334516	Engineering Mathematics(I)	1	3.0	3	▲	Gui Meen Wah	4CE2B	60	4

Course Plan：

Instructor	Gui Meen Wah　Office Hours
Email	mwgui@ntut.edu.tw
Last Updated	2024-05-22 10:28:11
Course Objective	1. 一階常微分方程 2. 二階常微分方程 3. 線性聯立微分方程 4. Laplace Transform
Course Schedule	週次/ Week Topics教學進度 1 Introduction 2 1.0 First-Order Differential Equations 1.1 Basic Concepts and Ideas 3 1.2 Separable Differential Equations 4 1.3 Exact Differential Equations. Integrating Factors 5 1.4 Linear Differential Equations. Bernoulli Equation 6 2.0 Linear Differential Equations of Second and Higher Order 2.1 Homogeneous Linear Equations of Second Order 2.2 Second Order Homogeneous Equations with Constant Coefficients 7 2.3 Case of Complex Roots. Complex Exponential Function 2.4 Euler-Cauchy Equation 8 2.6 Nonhomogeneous Equations 2.7 Solution by Undetermined Coefficients. Solution by Variation of Parameters 9 Midterm Exam 10 3. System of Differential Equations, Phase Plane, Qualitative Methods 3.1 Vectors, Matrices, Eigenvalues 11 3.2 Homogeneous Systems with Constant Coefficients. 12 3.2 Homogeneous Systems with Constant Coefficients. 13 3.3 Qualitative Methods for Nonlinear Systems 3.4 Nonhomogeneous Linear System 14 4. Laplace Transforms 4.1 Laplace Transform. Inverse Transform. Linearity. Shifting 15 4.2 Transforms of Derivatives and Integrals. Differential Equations 4.3 Unit Step Function. Second Shifting Theorem, Dirac’s Delta Function 16 4.4 Differential and Integration of Transforms 17 4.6 Partial Fractions. Differential Equations 18 Final Exam
Evaluation and grading policy	Attendance, Homework, Quizzes, Tests, Midterm, Final Exam : 共100% (缺席者以零分計算)
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 參考書目： 1. Zill, D.G. & Wright, W.S. (2014). Advanced Engineering Mathematics. 5th Ed. The Jones and Bartlett Publishers, USA. 2. Erwin Kreyszig (2011). Advanced Engineering Mathematics. 10th Ed. John Wiley & Sons, Inc. 3. Peter O’Neil (2013). Advanced Engineering Mathematics. Brooks/Cole Publishing Company.
The access to curricular consultation	私訊
The course corresponds to the SDGs	SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
Note	1. 同學如有紙本加退選簽核，或課程問題，請 email: mwgui(at)ntut.edu.tw，安排時間地點簽核；信件標題請註明：[工數]_學號_名字。 2. 課程其他資料將透過北科 i-學園+ 公布。 3. 因應疫情可能會調整授課內容、授課方式、評分項目與配分。如果無法實體上課，預定使用 Google Meet於原定上課時間遠距上課，細節再另行公布。 4. 評量方式：期中考、期末考採實體或線上紙筆測驗+線上報告。請務必事先備妥攝影機及腳架以供線上考試使用！