Numerical Analysis

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Office Hours:  11-12 daily

Course Outline

Text Book: Numerical Methods for Engineers, S. C. Chapra & R. P. Canale, 6th Edition, McGraw-Hill Inc. UK, 2010

Lecture Notes

Week

Content

Reading Assignment

1

Introduction (Approximation and Errors)

Mathematical Modeling

Approximation and Round-off Errors

Truncation Errors and Taylor Series

HWs: L3(b), 1.2, 1.4, 1.5, 1.6, 3.6, 3.10, 4.2, 4.5, 4.14

Chapter 1

Chapter 3

Chapter 4

2-4

Roots of Equations

Bracketing Methods

Open Methods

Engineering Applications

HWs: L3(b), 1.2, 1.4, 1.5, 1.6, 3.6, 3.10, 4.2, 4.5, 4.14

Chapter 5

Chapter 6

Chapter 8

5-7

System of Linear Algebraic Equations

Gauss Elimination

LU Decomposition and Matrix Inversion

Special Matrices and Gauss-Seidel

Engineering Applications

HWs: 5.2, 5.3, 5.6, 5.10, 5.12, 5.15, 5.22, 6.1, 6.3, 6.7, 6.14, 6.15, 6.30

Chapter 9

Chapter 10

Chapter 11

Chapter 12

8

Linear Optimization

Chapter 15

9-10

Curve Fitting

Least–Square Regression

Interploation

Engineering Applications

HWs: 17.2, 17.4, 17.6, 17.7, 17.13, 17.18, 18.13, 18.14, 18.13

Chapter 17

Chapter 18

Chapter 20

11-12

Numerical Differentiation and Integration

Newton–Cotes Integration Formulas

Numerical Differentiation

Engineering Applications

HWs: 21.3, 21.6, 21.7, 22.8, 22.9(a), 21.10,  23.8, 23.21

Chapter 21

Chapter 23

Chapter 24

13

Ordinary Differential Equations

Runge-Kutta Methods

HWs: 25.2, 25.7a, 25.8, 25.11, 25.19

Chapter 25+27

14

Partial Differential Equations

Finite Difference Method: Elliptic Equations

Finite Difference Method: Parabolic Equations

Chapter 29

Chapter 31

Previous Exams

Midterm Exam 2017

Midterm Exam 2016

Midterm Exam 2015

Midterm Exam 2014

Midterm Exam 2013

Midterm Exam 2010

Final Exam 2015

Final Exam 2007

 Final Exam 2006

 Final Exam 2005

 Final Exam 2004