查詢教學大綱與進度

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

110-1 291985 工程數學(一) 1 3.0 3 ▲ 魏敏樺土木二乙 62 1 ◎

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
110-1	291985	工程數學(一)	1	3.0	3	▲	魏敏樺	土木二乙	62	1	◎

教學大綱與進度：

教師姓名魏敏樺

Email mwgui@ntut.edu.tw

最後更新時間 2021-10-06 09:47:17

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.

課程諮詢管道如學校網頁所公告。

課程對應SDGs指標

備註 ●上課方式：分流上課

本課程採遠距及分流兩種上課方式。全班分兩組，一組上實體課，另一組則採非同步遠距上課，每週輪流。

●評量方式：
學生須到校進行實體測驗的可能，如：期中考、期末考採實體紙筆測驗；若為報告則採線上報告。
●補充說明資訊：

教師姓名	魏敏樺
Email	mwgui@ntut.edu.tw
最後更新時間	2021-10-06 09:47:17
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	如學校網頁所公告。
課程對應SDGs指標
備註	●上課方式：分流上課本課程採遠距及分流兩種上課方式。全班分兩組，一組上實體課，另一組則採非同步遠距上課，每週輪流。 ●評量方式：學生須到校進行實體測驗的可能，如：期中考、期末考採實體紙筆測驗；若為報告則採線上報告。 ●補充說明資訊：