0787 - 微分方程 英授 Taught in English

Differential Equations

教育目標 Course Target

1. 學習一階單微分方程的解法,並熟悉其計算方式
2. 學習線性單微分方程的解法,並熟悉其計算方式
3. 學習以Laplace法轉換解線性微分方程,並熟悉其計算方式
4. 學習單微分方程的級數解法,並熟悉其計算方式
5. 學習線性微分方程系統的解法,並熟悉其計算方式
6. 學習微分方程系統解的定性行為分析:相平面分析、局部分析、穩定性分析。
7. 學習單微分方程的邊界值問題解法,Sturm-Liouville理論

1. Learn how to solve first-order single differential equations and become familiar with its calculation methods
2. Learn the solutions to linear single differential equations and become familiar with their calculation methods
3. Learn to use the Laplace method to transform and solve linear differential equations, and become familiar with its calculation methods
4. Learn the series solution of single differential equations and become familiar with its calculation methods
5. Learn solutions to linear differential equation systems and become familiar with their calculation methods
6. Learn the qualitative behavior analysis of solutions to differential equation systems: phase plane analysis, local analysis, and stability analysis.
7. Learn the solution to boundary value problems of single differential equations, Sturm-Liouville theory

參考書目 Reference Books

Elementary Differential Equations and Boundary Value Problems, William E. Boyce and Richard C. DiPrima, 10e, Wiley.

Elementary Differential Equations and Boundary Value Problems, William E. Boyce and Richard C. DiPrima, 10e, Wiley.

評分方式 Grading

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30 透過Wiley Plus線上學習系統公告並且線上作 答,作答完成後系統立即顯示解答並且計分
期中考
midterm exam
20
期末考
final exam
20
第一次小考
First quiz
20
第二次小考
Second quiz
20

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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 0787
  • 學分 Credit: 0-3
  • 上課時間 Course Time:
    Tuesday/8,9,Thursday/8,9[ST520]
  • 授課教師 Teacher:
    楊智烜
  • 修課班級 Class:
    應數系2
  • 選課備註 Memo:
    微積分上及格可修
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 70 人

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