Sets, Counting, and Probability Open Learning Course

The free video lectures of this course are made available as part of Harvard Extension School's Opening Learning Initiative.

About the Course

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.

Harvard Faculty

Paul G. Bamberg, DPhil, Senior Lecturer on Mathematics, Harvard University. 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.

The Lecture Videos

The recorded lectures are from the Harvard Faculty of Arts and Sciences course Historical Study B-54, which was offered as HIST E-1890, an online course at Harvard Extension School.

For links to course videos, visit the Sets, Counting, and Probability course video page

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