MATHEMATICAL METHODS OF SCIENCE AND ENGINEERING

april 4 ,2009

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
Serienumerica4
General Physics Course


"...dijo que para terminar el poema le era indispensable la casa,
pues en un angulo del sotano hab�a 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


NUMERICAL ANALYSIS

Numerical approach to the normal modes of coupled oscillators

Potential Barrier Embedded in an Infinite Square Well

Control Systems

Harmonic Oscillator Embedded in a Square Well

Heat equation in two dimensions by optimized forward difference method

Heat equation in two dimensions ( april 4,2009)


LECTURES ON QUANTUM MECHANICS

LECTURES ON QUANTUM MECHANICS -Introduction

Chapter 1 - Some experimental facts

Chapter 1. -part b

LECTURES ON QUANTUM MECHANICS- Chapter 2. The Old Quantum Theory


NUMERICAL ANALYSIS

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

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

Poissons’s 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