教學大綱與進度

課程基本資料：

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
112-1	319853	工程數學(一)	1	3.0	3	▲	魏敏樺	土木二甲	58	3

教學大綱與進度：

教師姓名	魏敏樺　教師諮商時間(Office Hours)
Email	mwgui@ntut.edu.tw
最後更新時間	2023-09-04 11:09:41
課程大綱	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
課程進度	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
評量方式與標準	Attendance, Homework, Quizzes, Tests, Midterm, Final Exam : 共100% (缺席者以零分計算)
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 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.
課程諮詢管道	私訊
課程對應SDGs指標
備註	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！