SERIE NUMERICA 4

june 24 ,2009

WE ARE MOVING TO http://www1.uprh.edu/rbaretti

NUMERICAL METHODS/Numerical Analysis/ Quantum Physics/Calculus/Complex variables

with FORTRAN AND MATLAB CODES


By Serie Numerica

e-mail: reibaretti2004@yahoo.com

SEE ALSO
Serie numerica1
Serienumerica2
Serienumerica3
Mathematical Methods
General Physics Course


The author dedicates this page to the Publisher of FORCE 2.0,Guilherme Luiz Lepsch Guedes.


"...dijo que para terminar el poema le era indispensable la casa,
pues en un angulo del sotano habia un Aleph. Aclaro que un Aleph es uno
de los puntos del espacio que contienen todos los puntos."
El Aleph - Jorge Luis Borges

FREE DOWNLOAD FORTRAN-FORCE 2.0.8

A series of Lectures based on the book Mathematical Techniques for Biology and Medicine by William Simon

Mathematical Techniques for Biology and Medicine (Paperback) by William Simon (Dover Publications)

LECTURE 1- About differential calculus

LECTURE 2 -First order differential equations in dilution problems and other situations

LECTURE 3 - Second order differential equations

LECTURE 3 - Second order differential equations -Part 2

LECTURE 4 - The Laplace Transform

LECTURE 5 -Compartmental Problems

LECTURE 5 (Part 2)-Compartmental Problems

LECTURE 6 - Numerical Methods

LECTURE 7 -Regulation and Oscillation

LECTURE 8- Diffusion

LECTURE 8- Diffusion (Part 2)


Mathematical Techniques for Biology and Medicine

Oscillations in the Oral Glucose Tolerance Test (OGTT)

Numerical solution of the DE for a Minimal Model of Glucose and Insulin Kinetics


General Physics tests

Fisi 3011 ex 1 sept 2007

Fisi 3011 ex 2 oct 2007

Fisi 3011 ex 3 nov 2004


BASIC ELECTRICAL ENGINEERING


CLASSICAL MECHANICS

QUANTUM PHYSICS


LECTURES ON GENERAL PHYSICS 3012 (2009)


NOTAS DE CLASE FISI 3012

Notas FISI 3012 -16 de enero,2009

Coulombic force ( january 19, 2009)

Notas FISI 3012 -21 de enero,2009

Notas FISI 3012 -23 de enero,2009

Notas FISI 3012 -26 de enero,2009

Notas FISI 3012 -28 de enero,2009

Notas FISI 3012 -viernes 30 de enero,2009

Notas FISI 3012-lunes 2 de febrero,2009

Notas FISI 3012-mi�rcoles 4 de febrero,2009

Notas FISI 3012-mi�rcoles 11 de febrero,2009

Notas FISI 3012-miercoles 18 de febrero,2009

Notas FISI 3012-lunes 23 de febrero,2009

Notas FISI 3012-mi�rcoles 11 de febrero,2009

Notas FISI 3012-mi�rcoles 18 de febrero,2009

Notas FISI 3012-lunes 23 de febrero,2009

Notas FISI 3012- 2 de marzo,2009

Notas FISI 3012- 9 de marzo,2009

Notas de FISI 3012, 11 y 16 de marzo , 2009

Notas de FISI 3012, 18 marzo y 1 de abril , 2009

Notas de FISI 3012, 22 de abril , 2009

Notas de FISI 3012, 27 de abril , 2009 , Ecuacion de Schrodinger

Notas de FISI 3012, 6 de mayo 2009 - Átomo de hidrógeno

Trapezoide 19 marzo 2009

Lab Computadoras viernes 6 de marzo, 2009

Lab Computadoras viernes 13 de marzo, 2009- RC circuit using SAGE

RC circuit using MATLAB

Respuestas de Asignación -17 marzo

Lorentz Force -(march 27 ,2009)


Asignaciones

Asign. num. 2

Asignacion num. 3 -11 feb 2009

Asignacion num. 4 -3 marzo 2009

Asignacion num. 5 -20 marzo 2009

Asignacion num. 6 -22 abril 2009

Problemas miscelaneos de cuantica-11 mayo 2009

Solución a los problemas misceláneos


Copia examen I , feb 2006

Copia Examen FISI 3012 feb 2005

Copia examen II- Fisi 3012 -marzo 2006


Programas

Code for hydrogenic atom - may 8,2009

Schrodinger’s equation for a particle in a box April 27,2009

Standing waves in a box -April 17,2009

Potential of a spherical uniform charge distribution

RLC circuit , april 3, 2009

RLC circuit

FORTRAN code for E field (jan 28 ,2009)

FORTRAN code for E field (jan 28 ,2009)

Gauss law -jan 30 ,2009

B Lines of two parallel wires

Calculus with MATLAB

E-lines

Equipotentials of a dipole

Equipotentials of a quadrupole

Examples using SAGE Open Source Mathematics Software


LAB FISI 3012

LAB FISI 3014 examen num 1 (2007)

ELECTRIC POTENTIAL OF A SYSTEM OF CHARGES

Equipotentials of a quadrupole


CALCULUS


Complex Variables -Lecture Notes

Complex variables -Lectures


NUMERICAL ANALYSIS

Laplace equation in a semi infinite rectangular box (april 1,2009)

Forward difference solution of heat equation with truncation error of order deltax^6

Poissons Equation In a Square Grid with four unknown points

Lorentz Force -(march 27 ,2009)

Laplace’s equation in a cube of volume L^3 (march 27,2009)

Bilinear Interpolation

Laplace Equation In a Square Grid

Laplace Equation In a Square Grid (march 23,2009)

Solving Laplace Equation by the Forward Difference Method

Hyperbolic Heat Conduction Equation

Wave equation with delta function boundary condition

Wave Equation and Laplace Transform (march 12, 2009)

Numerical Contour Integration of F(z)= 1/((z2+1)*(1-z2)1/2)

Solving Linear Systems by the Jacobi Method (March 6,2009)

Numerical Solution Of The Non Homogeneous Heat Equation
du (x,t) /dt = (1/R) d^2 u (x,t)/dx^2 + P*(1-exp(-alfa*t)

Numerical procedure for an improper integral

Numerical integration of the complex function f(z)=1/(z*(z**2-1)^1/2)

Numerical integration of the complex function f(z)=1/(z^1/2 (z+1))

Numerical Inversion of Laplace Transform F(s), feb 26 2009 , D. G. Duffy page 58

Solution of the Wave Equation by the Laplace Transform Method

Solution of the diffusion equation du/dt= K*d2u/dx2+1

Solution of the non-homogenous diffusion equation

The Telegrapher's Equation

Spherical heat diffusion

Eigenvalues of the Fredholm integral equation

Symmetric Fredholm Equation of the First Kind

Integral equation solved by iteration ( jan 22 , 2009)

Electrostatic potential of two semicylindrical electrodes

The Rayleigh-Ritz Method Applied to the Laplace Equation - Example III

Numerical Inversion of Laplace Transform ,F(s) = 1/( s sinh(as) )

The Rayleigh-Ritz Method Applied to the Laplace Equation-example II

Numerical Laplace Transform of 1/t1/2

Laplace Numerical Inversion of F(z) =1/ (z^2+2z+1)

Numerical Inversion of Fourier Transform

Non Linear Boundary Value Problem

Numerical solution of a circular chain reaction with changing rate constant

The Rayleigh-Ritz Method Applied to Laplace Equation

Inhomogeneous Heat Equation Solved by Forward Difference Method

Poisson�s equation in a cube of volume pi^3

Heat equation solved by forward difference method

Heat Equation Solution by Green�s Function

Boundary Value Problem With Mixed Conditions

Solution of Inhomogeneous Boundary Value Problem

Numerical Inversion of Laplace Transform with the Bromwich Integral

Inversion of Laplace Transform by Post Method

Boundary value problem for ODE


SAGE MATH codes Section

RC circuit using Sage


MATLAB CODES SECTION


COMPLEX VARIABLES

INVERSE LAPLACE TRANSFORM - Part 1

INVERSE LAPLACE TRANSFORM - Part 2