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RESOURCES  
MAPLE  Chemical  Civil  Computer  Electrical  General  Industrial  Mechanical 
Nonlinear Equations 
 
Interpolation  
Integration  
Simultaneous Linear Eqns  
 
MATHCAD  
Nonlinear Equations 
 
Interpolation  
Integration  
Simultaneous Linear Eqns  
MATHEMATICA  
Nonlinear Equations 
 
Interpolation  
Integration  
Simultaneous Linear Eqns  
MATLAB  
Nonlinear Equations 
 
Interpolation  
Integration  
Simultaneous Linear Eqns  
HOLISTIC NUMERICAL METHODS INSTITUTE Committed to bringing numerical methods to undergraduates 
 

Resourcesof Physical Problems  
(Doyou want to follow a particularphysical example to learn the numericalmethod?)  
NonlinearEquations  
Chemical Engineering  Ascale to measure oil in a tank  
Civil Engineering  Asagging bookshelves!  
Computer Engineering  Divideunit missing in a supercomputer?  
Electrical Engineering  Checkingcalibration curve of a thermistor  
General Engineering  Howmuch of the float is submerged?  
Industrial Engineering  Momand Pop shop wants to break even  
Mechanical Engineering  Trunnioncool down for a shrink fit  
Simultaneous Linear Equations  
Chemical Engineering  LiquidLiquid extraction  
Civil Engineering  How much pressure can a compounded cylinder take?  
Computer Engineering  To infer the surface shape from images  
Electrical Engineering  Finding the unbalance in a 3phase load system  
General Engineering  Finding the velocity profile of a rocket  
Industrial Engineering  Maximizing the production schedule  
Mechanical Engineering  Find constants of a regression model for coefficient of thermal expansion vs temperature.  
Interpolation  
Chemical Engineering  Teatime: time needed to boil the water  
Civil Engineering  Tips onbass fishing  
Computer Engineering  Shortand smoothest path for a robot  
Electrical Engineering  Measuringtemperature by a thermistor  
General Engineering  Predictvelocity of a rocket  
Industrial Engineering  Profilinga cam  
Mechanical Engineering  Calculatingthe shrinkage of a trunnion correctly  
Regression  
Chemical Engineering  Infrared spectroscopy  
Civil Engineering  Finding the longitudinal Young's moduli of a composite materials?  
Computer Engineering  Extraction of road networks in images by function fitting  
Electrical Engineering  Finding the appropriate value for the resistance of a resistor.  
General Engineering  Finding the best mousetrap for a mousetrap car  
Industrial Engineering  When should the machine be stopped?  
Mechanical Engineering  Finding a regression model for calculating the contraction of a trunnion immersed in liquid nitrogen?  
Integration  
Chemical Engineering  Time required for oxygen to be consumed in the fuel cell  
Civil Engineering  Is the toxicity level of benzene dangerous?  
Computer Engineering  To infer the surfaces from vector fields  
Electrical Engineering  Confidence in acceptable circuit behavior with variation in components?  
General Engineering  Distance covered by a rocket  
Industrial Engineering  Are there as many plies of tissue paper in a roll?  
Mechanical Engineering  Finding the shrinkage of a trunnion?  
Ordinary Differential Equations  
Chemical Engineering  Controlling sodium chloride waste while making soap.  
Civil Engineering  
Computer Engineering  
Electrical Engineering  Sizing a rectifierbased power supply  
General Engineering  How much time will it take the ball to cool down?  
Industrial Engineering  
Mechanical Engineering  Contracting a cylinder to shrink fit in to a hub 
Copyrights:University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. AllRights Reserved. Questions,suggestionsor comments, contact 
HOLISTIC NUMERICAL METHODS INSTITUTE Committed to bringing numerical methods to undergraduates 
 

ANECDOTES NonlinearEquations  
Quest for cubic equation solution[]
 
Interpolation  
History of Interpolation [PDF][DOC] Dangers of extrapolation through NASDAQ, [] Higher order interpolation is a bad idea [] Comparison of spline & polynomial interpolation [] Choice of points of interpolation affects approximations [] Splines help in developing a shorter path for a robot []  
Integration  
What is integration? [PDF] [DOC] A Primer on Integral Calculus [PDF] [DOC] Integrating discrete function [] [PDF] Integrating improper integrals [] [PDF] Newton [] 
Copyrights:University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. AllRights Reserved. Questions,suggestionsor comments, contact 
HOLISTIC NUMERICAL METHODS INSTITUTE Committed to bringing numerical methods to undergraduates 
 

ASSESSMENT  
NonlinearEquations  
Background []  
Bisection Method []  
NewtonRaphson Method []  
Secant Method []  
Interpolation  
Background []  
Direct Method []  
Newton's Divided Difference Method []  
Lagrange Method []  
Spline Method []  
Integration  
Background [HTML] [PDF] [DOC]  
Trapezoidal method [HTML] [PDF] [DOC]  
Simpson's 1/3rd Rule method [HTML] [PDF] [DOC]  
Romberg method [HTML] [PDF] [DOC]  
GaussQuadrature method [HTML] [PDF] [DOC] 
Copyrights:University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. AllRights Reserved. Questions,suggestionsor comments, contact 
HOLISTIC NUMERICAL METHODS INSTITUTE Committed to bringing numerical methods to undergraduates 
 

PUBLICATIONS
Assessment of A WebEnhanced Course In Numerical Methods Techniques Employed Engineering Educators Holistic but Customized Resources for a Course in Numerical Methods (Abstract,Full Paper) On Comparing Computational Systems  Maple, Mathcad, Mathematica & Matlab (Abstract) WebBased Resources for a Course in Numerical Methods: . Seven Traits of Highly Effective EngineeringEducators: . Using Bloom'sTaxonomy to Develop Exam Questions: Introduction to Matrix Algebra: download book[PDF]. Holistic Numerical Methods  A Prototype: . Holistic Numerical Methods  A Customized Approach: . Memoto students who made a bad grade in the last test: 