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1

Introduction

2 個視頻 （總計 9 分鐘）, 5 個閱讀材料
2 個視頻
Introduction7分鐘
5 個閱讀材料
Course Overview10分鐘

Permutations and binomial coefficients

7 個視頻 （總計 78 分鐘）
7 個視頻
Words9分鐘
Permutations10分鐘
k-permutations8分鐘
Merry-go-rounds and Fermat’s little theorem 18分鐘
Merry-go-rounds and Fermat’s little theorem 211分鐘
Binomial coefficients14分鐘
The Pascal triangle16分鐘
1 個練習
Quiz 210小時
2

Binomial coefficients, continued. Inclusion and exclusion formula.

7 個視頻 （總計 87 分鐘）
7 個視頻
Balls in boxes and multisets 110分鐘
Balls in boxes and multisets 26分鐘
Integer compositions11分鐘
Principle of inclusion and exclusion: two examples12分鐘
Principle of inclusion and exclusion: general statement9分鐘
The derangement problem19分鐘
1 個練習
Quiz 310小時
3

Linear recurrences. The Fibonacci sequence

11 個視頻 （總計 105 分鐘）, 1 個閱讀材料, 1 個測驗
11 個視頻
Fibonacci numbers and the Pascal triangle7分鐘
Domino tilings8分鐘
Vending machine problem10分鐘
Linear recurrence relations: definition7分鐘
The characteristic equation8分鐘
Linear recurrence relations of order 211分鐘
The Binet formula11分鐘
Sidebar: the golden ratio9分鐘
Linear recurrence relations of arbitrary order8分鐘
The case of roots with multiplicities12分鐘
1 個閱讀材料
Spoilers! Solutions for quizzes 2, 3, and 4.2小時
1 個練習
Quiz 410小時
4

A nonlinear recurrence: many faces of Catalan numbers

7 個視頻 （總計 73 分鐘）, 2 個閱讀材料, 1 個測驗
7 個視頻
Recurrence relation for triangulations11分鐘
The cashier problem9分鐘
Dyck paths5分鐘
Recurrence relations for Dyck paths9分鐘
Reflection trick and a formula for Catalan numbers12分鐘
Binary trees15分鐘
2 個閱讀材料
Solutions10分鐘
!!!Solutions for the older version of the Middterm10分鐘
4.6
27 條評論

來自Introduction to Enumerative Combinatorics的熱門評論

Excellent selection of material and presentation; TAs were of great help as well. The techniques taught in this course will be a nice addition to my algorithms analysis toolbox.

Great lectures and content. I really enjoyed it. However, the solutions exercises could be clearer and in more detail. Thank you!

關於 国立高等经济大学

National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communicamathematics, engineering, and more. Learn more on www.hse.ru...

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