課程資訊
 課程名稱 工程數學上Engineering Mathematics (1) 開課學期 104-1 授課對象 機械工程學系 授課教師 王興華 課號 ME2001 課程識別碼 502 20001 班次 02 學分 3 全/半年 全年 必/選修 必修 上課時間 星期一3,4(10:20~12:10)星期三2(9:10~10:00) 上課地點 工綜215工綜B01 備註 限本系所學生(含輔系、雙修生)總人數上限：65人 Ceiba 課程網頁 http://ceiba.ntu.edu.tw/1041ME2001_02 課程簡介影片 核心能力關聯 核心能力與課程規劃關聯圖 課程大綱 為確保您我的權利,請尊重智慧財產權及不得非法影印 課程概述 一、Ordinary Differential Equations 1. First-Order Differential Equations 2. Linear Second-Order Equations 3. The Laplace transform 4. Series Solutions 5. Approximation of Solutions 二、Systems of Linear Differential Equations 1. Vectors and Vector Spaces 2. Matrices and Linear Systems 3. Determinants 4. Eigenvalues, Diagonalization, and Speial Matrices 5. Systems of Linear Differential Equations 6. Sturm-Liouville Theory and Special Functions (optional) 課程目標 This course will address several mathematical methods that can be applied to solve various governing equations in fundamental sciences or engineering applications. We will put special emphasis on both the physical meaning and the mathematical significance of each topic. The students should strengthen their capability of understanding and solving a real problem in the fields of engineering and science. We will talk about 1st and 2nd ordinary differential equations (ODE), series solution method, Laplace transformation, vector space and calculation, and finish the term with the fundamentals of linear algebra. 課程要求 Calculus 預期每週課後學習時數 Office Hours 每週一 13:20~14:10 備註： TA office hour 參考書目 待補 指定閱讀 待補 評量方式(僅供參考)
 課程進度
 週次 日期 單元主題 第1週 9/14,9/16 1. First-Order Differential Equations 第3週 9/28,9/30 2. Linear Second-Order Equations 第5週 10/12,10/14 3. The Laplace transform 第8週 11/02,11/04 4. Series Solutions 第9週 11/09,11/11 5. Approximation of Solutions 第10週 11/16,11/18 6. Vectors and Vector Spaces 第12週 11/30,12/02 7. Matrices and Linear Systems 第13週 12/07,12/09 8. Determinants 第14週 12/14,12/16 9. Eignevalues, Diagonalization, and Special Matrices 第16週 12/28,12/30 10. Systems of Linear Differential Equations