ESS 305001 數值分析一(Numerical Analysis I)
Course Description:
本課授課內容針對具工程背景與具有微積分、工程數學以及基本程式語言基礎的大學部高年學生。學
生可經由本課程學習利用數值方法解決工程問題之能力同時認識本系多領域整合應用的獨特性,對於
未來從事進階研究或是進入職場頗有裨益,是值得工程專業的學生深入學習的基礎課程。

Instructor:
藍貫哲(Tel: 35566,低碳綠能大樓-615 室,kclan@mx.nthu.edu.tw)

Prerequisites:
Introduction to Computer Science, Calculus, Computer Languages, Computer
Programing, Engineering Mathematics

Hours/Place:
W34 F34/工科 506

Syllabus
Chapter 0 Matlab ABC
Chapter 1 Mathematical Preliminaries and Error Analysis
Chapter 2 Solutions of Equations of One Variable
Chapter 3 Interpolation and Polynomial Approximation
Chapter 4 Numerical Integration and Differentiation
Chapter 5 Numerical Solution of Initial-Value Problems
Chapter 11 Numerical Solution of Boundary-Value Problems
Chapter 6 Direct Methods for Solving Linear Systems
Chapter 7 Indirect Methods for Solving Linear Systems
Chapter 8 Approximation Theory

Text Books
J.D. Faires, R.L. Burden, "Numerical Methods," 4th edition, Brooks and Cole
Publishing Company, CA, 2013.


References:
1. M.L. James, G.M. Smith, J.C. Wolford, "Applied Numerical Methods for
Digital Computation," 4th edition, Harper Collins College Publishers, 1993.
2. S.D. Conte, C. De'Boor, "Elementary Numerical Analysis," 3rd edition,
McGraw-Hill Book Company, 1980.
3. C.F. Gerald, P.O. Wheatley, "Applied Numerical Analysis," 5th edition,
Addison-Wesley Publishing Company, 1994.
4. S. Nakamura, "Applied Numerical Methods with Software - An Algorithmic
Approach," Prentice-Hall International, Inc., 1991.
5. B. Bradie, "A Friendly Introduction to Numerical Analysis," Pearson
Education, Inc., 2006.
6. A. Kharab, R.B. Guenther "An Introduction to Numerical Methods, A MATLAB
Approach," 3rd edition, CRC Press, 2012.
7. J.D. Faires, R.L. Burden, "Numerical Analysis," 9th edition, Brooks and
Cole Publishing Company, CA, 2011.


EVALUATION
Four Homework 25%
Midterm Examination 30%
Final Examination 45%