lecture 1 introduction

# lecture 1 introduction - Numerical Methods INTRODUCTION...

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Numerical Methods INTRODUCTION Introduction Measuring Errors Sources of Error Binary Representation Floating Point Representation Propagation of Errors Taylor Theorem Revisit 1

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NONLINEAR EQUATIONS Quadratic Equations Cubic Equations Bisection Method Newton-Raphson Method Secant Method 2
SIMULTANEOUS LINEAR EQUATIONS Intro to Matrix Algebra Gaussian Elimination Gauss-Seidel Method LU Decomposition 3

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INTERPOLATION Primer on Interpolation Direct Method Newton's Differential Method Lagrange Method Spline Method 4
REGRESSION Primer on Regression Linear Regression Nonlinear Regression Adequacy of Regression 5

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INTEGRATION Integral Calculus Primer Trapezoidal Rule Simpson's 1/3 Rule Romberg Integration Gauss-Quad Rule Discrete Data Integration Improper Integration 6
ORDINARY DIFFERENTIAL EQUATIONS Primer on ODE Euler's Method Runge-Kutta 2nd Runge-Kutta 4th Finite Differential Method Shooting Method Higher Order/Coupled 7

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How to pass??? Attendance Quizzes Exam (Midterm/Final) Assignment Board work/Recitation - passing 75 % 8
9 Introduction to Scientific Computing

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10 My advice If you don’t let a teacher know at what level you are by asking a question, or revealing your
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## This note was uploaded on 08/11/2011 for the course MATH 663 taught by Professor Ron during the Spring '11 term at University of the Philippines Diliman.

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lecture 1 introduction - Numerical Methods INTRODUCTION...

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