課程資訊

Engineering Mathematics (1)

102-1

ME2001

502 20001

02

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/10211111

1. First-Order Differential Equations
2. Linear Second-Order Equations
3. The Laplace transform
4. Series Solutions
5. Approximation of Solutions

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)

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.

Calculus

Office Hours

(僅供參考)

 No. 項目 百分比 說明 1. Assigned homework 10% Assigned homework is due before next Monday’s 5:00 P.M. (Late work within 1 week x 0.5, others 0), 2. Call 10% Absence from class will affect the final score (-1 per call). 3. 4 exams 80% 4 exams (20 % each).

 課程進度
 週次 日期 單元主題 第1週 9/09,9/11 Chapter 1 First-order Differential Equations 第2週 9/16,9/18 Chapter 1 First-order Differential Equations, and Chapter 2 Linear Second Order Equations 第3週 9/23,9/25 Chapter 2 Linear Second Order Equations 第4週 9/30,10/02 Chapter 3 The Laplace Transform 第5週 10/07,10/09 Chapter 3 The Laplace Transform, and Chapter 4 Series Solutions 第6週 10/14,10/16 Chapter 4 Series Solutions, Chapter 6 Vectors and Vector Spaces 第7週 10/21,10/23 Chapter 6 Vectors and Vector Spaces 第8週 10/28,10/30 Chapter 6 Vectors and Vector Spaces Chapter 7 Matrices and Linear Systems 第9週 11/04,11/06 Chapter 7 Matrices and Linear Systems 第10週 11/11,11/13 Chapter 5 Approximation of Solutions 第11週 11/18,11/20 Chapter 8 Determinants 第12週 11/25,11/27 Chapter 9 Eignevalues, Diagonalization, and Special Matrices 第13週 12/02,12/04 Chapter 9 Eignevalues, Diagonalization, and Special Matrices 第14週 12/09,12/11 Chapter 9 Eignevalues, Diagonalization, and Special Matrices 第15週 12/16,12/18 Chapter 10 Systems of Linear Differential Eauations 第16週 12/23,12/25 Chapter 15 Special Functions and Eigenfunction Expansions 第17週 12/30,1/01 Options