This online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life. Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series, and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of basic principles rather than on memorizing and using formulas.
All rights reserved to Prof. Paul Bamberg and Harvard University. If you enjoyed this free class, the Harvard Extension School offers a wide variety of courses in numerous fields. Check out http://www.extension.harvard.edu/
Paul G. Bamberg received an undergraduate degree in physics from Harvard and a doctorate in theoretical physics from Oxford. For 28 years, he taught premedical physics at Harvard College, the Extension School, and the Summer School. He helped develop the math and computer science curricula at the Extension School. Bamberg received the Extension School’s Petra T. Shattuck Excellence in Teaching Award and the Dean’s Distinguished Service Award.