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This is a second series of lectures in Probability theory. In this course you will learn the four principle counting techniques used in probability theory:
This course is the second part of a college level course in probability theory.
Keywords: ordered (unordered) sampling with (without) replacement, binomial coefficients, Bernoulli trials process, intransitive dice
The course includes 10 lectures with downloadable transcripts in pdf format.
If you take this course, you can count on my help. I will answer every single question you post on the discussion board.
Your feedback is important. Please write a short review and let me know what I can do to improve the course, or just rate the course! Thank you!
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|Section 1: Introduction|
|Section 2: Ordered sampling|
Ordered sampling with replacementPreview
Ordered sampling without replacement
|Section 3: Unordered sampling|
Unordered sampling without replacementPreview
Unordered sampling without replacement
|Section 4: Composite counting techniques|
Properties of binomial coefficients
|Section 5: Advanced topics|
A boy lost on a mountain
|Section 6: Thank you!|
I am a professional mathematician. As a mathematician I worked in US, Mexico, Japan, Canada and Germany. I am an author of 16 research papers published in internationally renowned journals.
I taught courses ranging from middle school to PhD level, including such high level courses as Topological Quantum Field Theory, Moduli spaces of Riemann curves, and Topological Surgery Theory.
What you may expect from me is a well structured course with clearly explained notions and theory.