Intermediate Counting & Probability

This online course, Intermediate Counting & Probability, is an advanced-level mathematics course focusing on discrete mathematics. Over the course of 18 weeks, it explores a wide range of topics including clever one-to-one correspondences, the principle of inclusion-exclusion, generating functions, distributions, the pigeonhole principle, induction, constructive counting and expectation, combinatorics, systems with states, recursion, conditional probability, and introductory graph theory.

The course uses the textbook "Intermediate Counting & Probability" and aims to equip students with a deep understanding of these foundational mathematical concepts. It is intended for students who have a solid grasp of fundamental mathematics and are ready for more complex topics.