Welcome to the Cheg 258 Examples Homepage!

Copyright 1997 DTL

Example Number
Brief Description
 Application
Example 1 Introduction - Basic MATLAB Functions Prime Factors
Example 2 Introduction - Advanced MATLAB Functions Retirement Account
Example 3 Numerical Errors Forward Difference Algorithm
Example 3a Matlab I/O Routines Load, Save, Print
Example 4 Probability, Overflow, and Underflow Coin Flips
Example 5 Systems of Equations Liquid-Liquid Extraction
Example 6 PLU Factorization PLU Factorization of a Square Matrix
Example 7a Condition Numbers LU Decomposition
Example 7b Condition Numbers Norm and Condition Number of a Matrix
Example 8 Errors in Systems of Equations Error in Hilbert Matrix
Example 9 Linear Regression Mass Transfer through Membrane
Example 10 QR Factorization Gravitational Acceleration of falling ball
Example 11 QR Factorization QR Factorization with Pivoting
Example 12 Singular Value Decomposition Image Compression
Example 13 Elementary Statistics and Probability Normal/Gaussian Distribution
Example 14 Error Propagation Error Propagation
Example 15 Covariance Matrix US Energy Consumption
Example 16 Error Propagation Gravitational Acceleration
Example 17 Error in Linear Regression Oscillatory Liquid Chromatography
Example 18a Undersampling and Bootstrap Technique Gravitational Acceleration
Example 18b Non-Random Regression Error Position Estimation from Data
Example 19 Root Finding Bisection, Newton, and Secant Methods
Example 20 Multidimensional Newton's Method Plumbing Problems
Example 21 Optimization Sequential Batch Reaction
Example 22 Multidimensional Optimization Steepest Descent
Example 23 Constrained Optimization Cylindrical Can Manufacturing
Example 24 Numerical Quadrature Trapezoidal and Simpson's Rules
Example 25 Gaussian Quadrature Gaussian Quadrature
Example 26 Quadrature Error Estimation Repeated Richardson Extrapolation
Example 26b Norms of Quadrature Weights Romberg Weights and Errors
Example 27 Adaptive Quadrature Treating Singularities
Example 28 Multidimensional Quadrature Elliptical Disk
Example 29 Monte Carlo Integration Circular Domain and Embedding
Example 30 Ordinary Differential Equations Batch Reactors
Example 31 Numerical Stability CSTR / Salt Problem
Example 31a Numerical Stability in PDE's Quenching of a Finite Slab
Example 32 Higher Order Integration Euler and Runge-Kutta Methods
Example 33 Adaptive Step Size Algorithm Predator-Prey Population Models
Example 34 Shooting Method Cannonball Problem
Example 35 Matrix Methods for ODE's Heat Transfer in a Slab with Reaction
Example 36 Sturm-Lioville Boundary-Value Problems Laplacian Operator in Cartesian Coordinates
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