工程數學(一)

臺北科技大學 115-1 學期課程，課號 362388。

• 學期：115-1
• 授課教師：楊濠瞬
• 學分：3
• 必修
• 上課時段：週一 3、4 節；週二 2 節

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.冪級數及其在微分方程上之解法。 1.Ordinary differential equations of the first order 2.Linear ordinary differential equations of the second order 3.Laplace transforms 4.Power series

課程進度

Week 1: First-Order Ordinary Differential Equations (ODEs) Week 2: Separable ODEs Week 3: Exact ODEs Week 4: Linear ODEs, Higher Order Linear ODEs Week 5: Homogeneous Linear ODEs Week 6: Nonhomogeneous ODEs Week 7: Systems of ODEs Week 8: Midterm Exam Week 9: Taylor Series Week 10: Laplace Transforms Week 11: Unit Step, Delta, and Gamma Functions Week 12: Laplace Transforms of Derivatives and Integrals Week 13: Convolution Week 14: Frobenius Series Week 15: Bessel Function Week 16: Final Exam Week 17: Off-campus Visits Week 18: Writing Reflections

評量方式

Midterm Exam 期中考 40% Final Exam 期末考 60%

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 Erwin Kreyszig, Advanced Engineering Mathematics: 10th Edition, Wiley