工程數學(一)

臺北科技大學 115-1 學期課程，課號 364988。

課程大綱

瞭解工程系統中常用數學之原理及應用，內容包含：1.常微分一階、二階及高階方程式之解法，2.拉普拉斯 (Laplace)變換及其在電路上之應用，3.向量分析及其在電磁學上之應用。 1.Ordinary differential equations of the first order 2.Linear ordinary differential equations of the second order 3.Laplace transforms 4.Vector analysis and its application to electormagnetics

課程進度

01.Definitions and Terminology 02.Initial-Value Problems 03.Differential Equations as Mathematical Models 04.First-order Differential Equations 05.Separable Variables 06.Linear Equations 07.Exact Equations 08.A Numerical Method 09.Midterm Exam. 10.Modeling with Systems of First-Order DEs 11.Higher-order Differential Equations 12.Definition of the Laplace Transform 13.Inverse Transforms and Transforms of Derivatives 14.Systems of Linear Differential Equations 15.Fourier Series 16.Final Exam.

評量方式

Normal grade: 30% Midterm exam: 30% Final exam: 35% Flexible Learning: 5%

教材

【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 Dennis G. Zill and Michael R. Cullen, "Differential Equations-with Boundary-Value Problem"