天主教輔仁大學課程大綱 天主教輔仁大學課程大綱

天主教輔仁大學課程大綱 天主教輔仁大學課程大綱

請尊重智慧財產權及著作權，不得非法影印任何有版權的著作 請尊重智慧財產權及著作權，不得非法影印任何有版權的著作

Please respect the intellectual property rights and use the materials legally.

課程名稱

Course Title

^應用數學

授課教師

Instructor

^項維巍 學年度

Academic year

95

^學期

Semester 1

課程大綱

Syllabus

Course Name: Applied Mathematics (I) Department: Physics

Lecturer’s Name: W.-W. Hsiang (Email: )

(Office: PH223

, Tel. No.: 29053557) Academic Term: 1st semester, 2006

Credits/Hours: 4 Course Objective:

Applied Mathematics (I) aims to help students to understand how to formulate real-world situations into mathematical models and how to utilize the basic methods of mathematical analysis to solve these problems.

Course Outline:

1. First-Order Ordinary Differential Equations

2. Linear Higher-Order Ordinary Differential Equations 3. Linear Systems of Differential Equations

4. Power-Series Solutions of Differential Equations 5. Laplace Transform

6. Fourier Series and Fourier Transform Textbook:

E. Kreyszig, “Advanced Engineering Mathematics,” John Wiley & Sons, Inc., 1999.

Reference Books:

1. R. J. Lopez, “Advanced Engineering Mathematics,” Addison-Wesley, 2001.

2. P. V. O’Neil, “Advanced Engineering Mathematics,” Thomson Learning Inc.

2003.

3. K. F. Riley, M. P. Hobson, and S. J. Bence, “Mathematical Methods for Physics and Engineering,” Cambridge University Press, 2006.

Grading and Evaluation:

Quizzes (Every Two Weeks): 30 % Mid-Term Exam: 35 %

Final Exam: 35 %