Physics 501: Mathematical Physics I

  Lectures:     Disque 919, MWF 10:00 - 10:50 am
  Office:       Disque 610
  Phone:        (215) 895-2723
  Fax:          (215) 895-1549
  e-mail:       steve@physics.drexel.edu

• Course overview
  
  The goal of this course is the integration of classical analytical methods with modern computational techniques. Emphasis will be placed on application of the methods studied to problems drawn from physics and elsewhere.

• Course syllabus

• Detailed course outline  (2008 lecture schedule)

• Numerical Recipes in C, online version

• Numerical Recipes (Fortran 77), online version

• Numerical Recipes (Fortran 90), online version

• Reference: some numerical examples

  Here is a simple Makefile to assist in building standalone programs using Numerical Recipes routines. The header files in /usr/local/include should be found automatically, and the library libnr.a (found in /usr/local/recipes) is appropriate for C programs written using double data, as discussed in class.

  • Here is a template program solving a simple matrix equation using the Numerical Recipes Gauss-Jordan routine. You can compile it directly using the files nrutil.h, nrutil.c, and gaussj.c in the working directory. Compile with

        gcc -o gaussj gaussj_main.c nrutil.c -lm

    and experiment!  Here's an even simpler, bare-bones version.

  • If you prefer to use the routines directly from the Numerical Recipes libraries and not to save your own copies, you should be able to build the simple program just mentioned by using the command:

        cc -L/usr/local/recipes gaussj_main.c -lnr -lm -o gaussj_main

    Alternatively, just install the above Makefile in your working directory and type

        make gaussj_main

  • The Numerical Recipes C source, should you need to look at or modify it, can be found in /usr/local/recipes.

  • Some other matrix handling programs

  • Some Integration schemes for ODEs

  • Solving boundary-value problems

• Homeworks

  • Homework #1   (solutions)

  • Homework #2   (numerical solutions may be found here; additional notes on problem 4)

  • Homework #3   (solutions)

  • Homework #4   (solutions)

  • Homework #5   (solutions)

  • Homework #6   (solutions)

  • Homework #7   (solutions)