ESS 3050-02 數值分析一(Numerical Analysis I)

Instructor:
梁正宏(Tel: 42668,工科館-512 室,jhliang@ess.nthu.edu.tw)

Teaching Assistants:
洪兆陽(Tel: 34317,工科館-520W 室,iopoi89098@yahoo.com.tw)

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

Hours/Place:
T3, T4, R3, R4 / 工科館-506 室

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

Grading:
Four Homework 25%
Midterm Examination 30%
Final Examination 45%

Course Outline:
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

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
MATHLAB Approach," 3rd edition, CRC Press, 2012.
7. J.D. Faires, R.L. Burden, "Numerical Analysis," 9th edition, Brooks and Cole
Publishing Company, CA, 2011.