# 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

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Midterm Exam 2010

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