課程資訊

Engineering Mathematics (Ⅰ)

106-1

ESOE2021

505 28110

02

3.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1061ESOE2021_02

1： 一階微分方程式(First-Order Differential Equation)
2：二階微分方程式(Second-order Differential Equation)
3：高階線性微分方程式(Linear Differential Equation with Higher Order)
4: 聯立微分方程式(Systems of differential equations, phase plane, qualitative method)
5：變數係數微分方程式(Differential Equation with Variable Coefficient)
6：拉普拉斯轉換(Laplace Transform)
7：線性代數:矩陣,向量, 行列式(Linear algebra: matrices, vectors, determinants)

Office Hours

E. Kreyszig, “ Advanced Engineering Mathematics”, John Wiley & Sons

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 25% 2. 期中考 25% 3. 期末考 25% 4. 作業 25%

 課程進度
 週次 日期 單元主題 第1週 Geometrical meaning of y’=f(x,y), Separable equation, modeling 第2週 Exact differential equation, Integrating factors 第3週 linear differential equation, Bernoulli equation 第4週 Second-order homogeneous equation with constant coefficients, Nonhomogeneous equations 第5週 Solution by undetermined coefficients 第6週 Solution by variation of parameters, Forced oscillation & Modeling of electriccircuits 第7週 Higher order linear differential equations with constant coefficients, Higher order non-homogeneous equations 第一次期中考試 第8週 Homogeneous systems with constant coefficients 第9週 Phase plane, critical point, Criteria for critical point, Stability 第10週 Qualtative method for non-linear systems, Non-homogeneous linear systems 第11週 Power series method, Legendre’s equation 第12週 Fribenius method, Bessel’s equation expansion 第13週 Sturm-Liouville problem, Orthogonal function 第二次期中考試 第14週 Laplace transform, Linearity, Shift 第15週 Transform of derivatives and integrals, Unit step function, Dirac’s delta function, 第16週 Differential and integral of transform 第17週 Convolution, Partial Fractions, Systems of Differential equation