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Introduction to Enumerative Combinatorics

Higher School of Economics via Coursera

students interested
Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed.

In the first part of our course we will be dealing with elementary combinatorial objects and notions: permutations, combinations, compositions, Fibonacci and Catalan numbers etc. In the second part of the course we introduce the notion of generating functions and use it to study recurrence relations and partition numbers.

The course is mostly self-contained. However, some acquaintance with basic linear algebra and analysis (including Taylor series expansion) may be very helpful.

Taught by

Evgeny Smirnov
Cost Free Online Course (Audit)
Pace Upcoming
Provider Coursera
Language English
Certificates Paid Certificate Available
Calendar 8 weeks long
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Review for Coursera's Introduction to Enumerative Combinatorics
5.0 Based on 1 reviews

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5.0 2 months ago
by Bart partially completed this course, spending 4 hours a week on it and found the course difficulty to be medium.
Surprised this course hasn't received any reviews. A real gem of a course. There aren't that many good math courses in MOOC format, but I can highly recommend this one. The lectures are crystal clear and are easy to follow. Course level goes beyond what is covered in standard intro to probability classes. If you enjoy math, you won't regret taking it. Exercises vary from easy to moderately challenging. Only downside is the platform: Coursera, where (after the horrible redesign) the forum interaction approaches zero.
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