**COURSE**: **Special Topics: **__Monte-Carlo Techniques__, PHY493/593

PROFESSOR: MIRON KAUFMAN, OFFICE: SI-116, TEL.6872436

Email:

m.kaufman@popmail.csuohio.edu

My** goals** in this course are to teach:

- elements of modeling of physical and biological phenomena;
- the software MathCad;
- basic statistics concepts.

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.

Tentative Schedule:

**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.

*Newton's portrait needed for Lab#7.*

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