南台課程大綱
學年度 103學年第一學期 系所 電機系
課程名稱 工程數學(一) 班級 四技控晶二甲
授課教師 謝銘原 點 閱 次 數 34
選修
必修
課程概述
本課程為必修一學年課程,分上下學期分別授課.上學期主要為微分方程,Laplace Transform,向量為三大主要部份.上課主要方式為定理及例題之講解及演算為主每章結束後均有作業之練習
課程目標
提供電機工程師所需與應用的微積分之後的數學知識,並透過計算層面來探討理論及實務
課程大綱
1.Introduction to Different Equation
(a) Definition and Terminology
(b) Initial-Value Problem
(c) Differential equipment as mathematical Models
2.First-Order Differential Equations
(a) Separable Variables
(b) Linear equation(integral factor)
(c) Exact equation
(d) Solution by substitutions
(e) Linear Models
3.High-Order Differential Equations
(a) Linear equation
(b) Reduction of order
(c) Homogenous equation with constant coefficient
(d) Undetermined coefficient
(e) Variation of parameters
(f) Cuachy-Euler equation
(g) Linear models- with initial value problem
(h) Linear models- with boundary value problem
Midterm test
4.The Laplace Transform
(a) Definition
(b) The inverse transform
(c) ranslation Theorems
(d) Additional operational properties
(e) Dirac Delta function
5.Vectors
(a) Vector in 2-D space
(b) Vector in 3-D space
(c) The Dot product
(d) The Cross product
(e) Vector Space
Final test
英文大綱
1.Introduction to Different Equation
(a) Definition and Terminology
(b) Initial-Value Problem
(c) Differential equipment as mathematical Models
2.First-Order Differential Equations
(a) Separable Variables
(b) Linear equation(integral factor)
(c) Exact equation
(d) Solution by substitutions
(e) Linear Models
3.High-Order Differential Equations
(a) Linear equation
(b) Reduction of order
(c) Homogenous equation with constant coefficient
(d) Undetermined coefficient
(e) Variation of parameters
(f) Cuachy-Euler equation
(g) Linear models- with initial value problem
(h) Linear models- with boundary value problem
Midterm test
4.The Laplace Transform
(a) Definition
(b) The inverse transform
(c) ranslation Theorems
(d) Additional operational properties
(e) Dirac Delta function
5.Vectors
(a) Vector in 2-D space
(b) Vector in 3-D space
(c) The Dot product
(d) The Cross product
(e) Vector Space
Final test
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