Instructor: Miron Kaufman
OFFICE: SI-116, Email:m.kaufman@csuohio.edu
Class meets on: M and W 2:00-3:50PM in SI-117A.
Textbook: Miron Kaufman: Computational Physics
Recomended Books: Giordano Computational Physics; Gould and Tobochnik, Introduction to Computer Simulation Methods
- 1. MathCad Tutorial;
- 2. Monte Carlo hit and miss; Compute pi.
- 3. Monte Carlo hit and miss; Compute volume of truncated cone.
- 4. Monte Carlo hit and miss; Compute volume of hyper-sphere in D dimensions.
- 5. Quasi-Random numbers; Standard random number generator.
- 6. Descriptive Statistics; Bernoulli and Normal Distributions; De Moivre approximation; Histograms.
- 7. Image Processing with Mathcad.
- 8. Simulations of probabilities problems proposed by Chevalier de Mérè (based on Pascal and Fermat letters).
- 9. Radioactive Decay and Poisson distribution.
- 10. Simulations of probabilities problems proposed by Frederick Mosteller.
- 11. Random walks in 1D.
- 12. Ideal Gas in 2D; Entropy Law.
- 13. Ideal Gas in 3D Einstein-Smoluchowsky Law of Diffusion.
- 14. Simulations of probabilities problems proposed by Marilyn vos Savant.
- 15. Cellular Automaton; Fractals; Game of Life.
- 16. Simulation of the baseball world series.
- 17. Geometric Probability.
- 18. Chain Reaction; Critical mass.
- 19. Ehrenfest Urn; Loschmidt’s Paradox.
- 20. Ising Model of Magnetism 1D; Metropolis Method.
- 21. Ising Model of Magnetism 2D; Metropolis Method.
- 22. Ising Model of Magnetism, Mean Field Theory.
- 23. Mechanics: Projectile motion with air drag.
- 24. Mechanics: Tunnel through Earth.
- 25. Mechanics: Pendulum.
- 26. Mechanics: Three body problem.
- 27. Chaos Theory: Logistic Equation.
- 28. Chaos Theory: Butterfly effect; Lyapunov exponent.
- 29. Electricity and Magnetism: Motion of charged particle in electric and magnetic fields.
- 30. Electricity and Magnetism: Biot-Savart law applied to spiral current.
- 31. Electricity and Magnetism: Laplace Equation; the Potential and Electric Field in Parallel-Plates Capacitor.
- 32. Nuclear Physics: Compton Scattering.
- No class: M January 20, M February 17, M March 9, W March 11.
- Last day to withdraw from the course: F, March 27.