UNIVERSIDAD DE PUERTO RICO EN HUMACAO
www.uprh.edu

 

 


 DEPARTAMENTO DE FÍSICA Y ELECTRÓNICA

 

 

 

 

Methods of Theoretical Physics - Part 1

Applied Mathematics, Mathematical Methods in Science and Engineering/Mathematical Techniques for Biology and Medicine, Numerical Methods

with FORTRAN , MAXIMA , SAGE AND  MATLAB CODES

14  de noviembre de 2011        e-mail: reibaretti2004@yahoo.com

 

 Webstats counter   http://webstats.motigo.com/s?id=315258

 

  Free counter and web stats

 

   

 

 

foto por Yanixa Rivera

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

 

FORTRAN FOREVER !

See John Warner Backus biography in WIKIPEDIA

http://en.wikipedia.org/wiki/John_Backus

http://www1.uprh.edu/rbaretti/index.6.jpg

 

John Warner Backus (December 3, 1924 – March 17, 2007) was an American computer scientist. He directed the team that invented the first widely used high-level programming language (FORTRAN) and was the inventor of the Backus-Naur form (BNF), the almost universally used notation to define formal language syntax. He also did research in function-level programming and helped to popularize it.

The IEEE awarded Backus the W.W. McDowell Award in 1967 for the development of FORTRAN.[1] He received the National Medal of Science in 1975,[2] and the 1977 ACM Turing Award “for profound, influential, and lasting contributions to the design of practical high-level programming systems, notably through his work on FORTRAN, and for publication of formal procedures for the specification of programming languages.”[3]

 

 

 

 

Páginas con problemas y códigos numéricos:

Methods of Theoretical Physics -Part 1

Methods of Theoretical Physics -Part 2

Methods of Theoretical Physics -Part 3

Methods of Theoretical Physics - Part 4

 Methods of Theoretical Physics Part 5

 Methods of Theoretical Physics Part 6

 Methods of Theoretical Physics Part 7

 

LECTURES ON QUANTUM MECHANICS

http://www1.uprh.edu/rbaretti/LecturesonQM28feb2011.htm

 

 

Lectures on Calculus with Solved Problems http://www1.uprh.edu/rbaretti/SolvedprobCalculusMain25mar2011.htm

 

 

Lectures on Quantum Mechanics -Introduction  

Chapter 1 - Some experimental facts

 Chapter 2 - The Old Quantum Theory

Chapter 3 - The Postulates of Quantum Mechanics  

Chapter 4- Potential Barriers

Chapter 5 - Potential Wells

Chapter 6 -  Periodic Potentials

Chapter 7 - Angular Momentum

Chapter 8 - The Hydrogen Atom

Chapter 9 - The Electron Spin

Chapter 10 - The Two Electron Atom

Chapter 11- Ground State Energies of Lithium and Beryllium

Chapter 12- The Self Consistent Field Method

Chapter 13-   The H2 molecule 

Chapter 14- Density Functional Theory  

Chapter 15 -The Quantum Theory of Radiation  

Chapter 16 -The Quantum Theory of Scattering


 

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

1. Oscillations in the Oral Glucose Tolerance Test (OGTT)

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

3.  Growth of two conflicting populations

4. Gompertz Equation

5. Logistic Growth


 

                                                                                            Manual Lab Fisi 3013 http://www1.uprh.edu/labfisi/fisi3013.htm

Maxima Primer

  Ejercicios Lab Fisi 3013 -(ago-dic 2011)  

http://www1.uprh.edu/rbaretti/LabFisi3013ago2010.htm 

Ejercicios Lab FISI 3013

Ejercicios Lab FISI 3014 - enero 2011

Ejercicios Lab Fisi 3014  -enero 2010

Lab Fisi 1033  Tecnología   (  agosto - diciembre 2011 )

 

Recommended Softwares:

 

1. SAGE  http://www.sagemath.org/     GRATIS !!

2. Maxima, a Computer Algebra System , http://maxima.sourceforge.net/   GRATIS !!

3. OCTAVE , http://www.gnu.org/software/octave/download.html ,   GRATIS !!

4. FORTRAN FORCE 2.0.9, http://download.cnet.com/Force/3000-2212_4-10067832.html?tag=mncol, GRATIS !!

5. MATLAB   http://www.mathworks.com/

 6. Wolfram Mathematica   http://www.wolfram.com/products/mathematica/index.html