COURSE: Special Topics: Monte-Carlo Techniques, PHY493/593
PROFESSOR: MIRON KAUFMAN, OFFICE: SI-116, TEL.6872436
My goals in this course are to teach:
The prerequisite for this course is one year of University Physics PHY241,242. Each student should purchase from the Bookstore: "Monte-Carlo Techniques Computational Projects" Miron Kaufman.
The course consists of computer sessions each Monday from 6PM to 8PM in the Physics Department Computer LabSI-117A. We are going to use the Mathcad software package.
SESSION 1, 2, 3: MathCad Tutorial; Random Numbers; Applications:Compute p; Compute volume of truncated cone; Compute volume of hypersphere in D dimensions.
SESSION 4: Generating Pseudo-Random Numbers;
SESSION 5: Descriptive Statistics; Bernoulli and Normal Distributions; Histograms; Simulations of the classical probabilities problems proposed by Chevalier de Mere.
SESSION 6: Image Processing;
SESSION 7: Radioactive Decay and Poisson distribution;
SESSION 8, 9, 10: Random walks; Ideal Gas in 2d and 3d; Entropy Law Einstein-Smoluchowsky Law of Diffusion
SESSION 11: Cellular Automaton; Fractals; Game of Life
SESSION 12, 13: Ising Model and Metropolis Method, Neural Networks
SESSION 14, 15: Chain Reactions and Critical Mass.
GRADING is based on the percentage of computer projects successfully completed and on attendance record.
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