課程信息
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100% 在線

立即開始,按照自己的計劃學習。

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初級

完成時間大約為21 小時

建議:6 weeks, 3-5 hours/week ...

英語(English)

字幕:英語(English), 希臘語, 中文(簡體)

您將獲得的技能

Random VariableProbability InterpretationsProbabilityCombinatorics

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

根據您的日程表重置截止日期。

初級

完成時間大約為21 小時

建議:6 weeks, 3-5 hours/week ...

英語(English)

字幕:英語(English), 希臘語, 中文(簡體)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間為 3 小時

Basic Counting

12 個視頻 (總計 54 分鐘), 4 個閱讀材料, 9 個測驗
12 個視頻
Rule of Sum3分鐘
How Not to Use the Rule of Sum3分鐘
Convenient Language: Sets4分鐘
Generalized Rule of Sum3分鐘
Number of Paths4分鐘
Rule of Product3分鐘
Back to Recursive Counting3分鐘
Number of Tuples5分鐘
Licence Plates3分鐘
Tuples with Restrictions5分鐘
Permutations9分鐘
4 個閱讀材料
Slides1分鐘
Slides1分鐘
Listing All Permutations5分鐘
Slides1分鐘
8 個練習
Rule of Sum in Programming4分鐘
Numbers Divisible by 2 or 38分鐘
Operations with Sets10分鐘
Generalized Rule of Sum18分鐘
Rule of Product in Programming10分鐘
Applications of the Rule of Product12分鐘
Tuples5分鐘
Counting with Restrictions20分鐘
2
完成時間為 3 小時

Binomial Coefficients

8 個視頻 (總計 76 分鐘), 4 個閱讀材料, 6 個測驗
8 個視頻
Number of Games in a Tournament10分鐘
Combinations8分鐘
Pascal's Triangle9分鐘
Symmetries4分鐘
Row Sums10分鐘
Binomial Theorem12分鐘
Practice Counting13分鐘
4 個閱讀材料
Generating Combinatorial Objects: Code10分鐘
Slides10分鐘
Slides10分鐘
Slides10分鐘
6 個練習
Number of Segments and Diagonals20分鐘
Forming Sport Teams15分鐘
Number of Iterations of Nested For Loops4分鐘
Sum of the First Six Rows of Pascal's Triangle2分鐘
Expanding (3a-2b)^k20分鐘
Practice Counting10分鐘
3
完成時間為 3 小時

Advanced Counting

8 個視頻 (總計 36 分鐘), 3 個閱讀材料, 8 個測驗
8 個視頻
Review3分鐘
Salad5分鐘
Combinations with Repetitions7分鐘
Distributing Assignments Among People3分鐘
Distributing Candies Among Kids3分鐘
Numbers with Fixed Sum of Digits4分鐘
Numbers with Non-increasing Digits2分鐘
Splitting into Working Groups4分鐘
3 個閱讀材料
Salads10分鐘
Slides1分鐘
Slides1分鐘
8 個練習
Salads10分鐘
Combinations with Repetitions10分鐘
Distributing Assignments Among People10分鐘
Distributing Candies Among Kids15分鐘
Numbers with Fixed Sum of Digits15分鐘
Numbers with Non-increasing Digits7分鐘
Splitting into Working Groups10分鐘
Problems in Combinatorics45分鐘
4
完成時間為 5 小時

Probability

17 個視頻 (總計 126 分鐘), 4 個閱讀材料, 11 個測驗
17 個視頻
Galton Board6分鐘
Natural Sciences and Mathematics6分鐘
Rolling Dice7分鐘
More Probability Spaces10分鐘
Not Equiprobable Outcomes4分鐘
More About Finite Spaces6分鐘
Mathematics for Prisoners7分鐘
Not All Questions Make Sense10分鐘
What Is Conditional Probability?7分鐘
How Reliable Is The Test?8分鐘
Bayes' Theorem8分鐘
Conditional Probability: A Paradox7分鐘
Past and Future8分鐘
Independence8分鐘
Monty Hall Paradox8分鐘
`Our Position'6分鐘
4 個閱讀材料
Slides
Slides
Slides
Slides
10 個練習
Concentration for Galton Board10分鐘
Computing Probabilities for Two Dice12分鐘
Computing Probabilities: More Examples12分鐘
Fair Decisions and Imperfect Coins20分鐘
Inclusion-Exclusion Formula10分鐘
Computing Conditional Probabilities16分鐘
Prisoner, King and Conditional Probabilities10分鐘
More Conditional Probabilities8分鐘
More About Independence20分鐘
Monty Hall Gone Crazy20分鐘
4.6
59 個審閱Chevron Right

33%

通過此課程獲得實實在在的工作福利

50%

加薪或升職

來自Combinatorics and Probability的熱門評論

創建者 PRAug 3rd 2019

Had loads of fun during most part of the course. Frequent quizzes keep the learner on toes. Thoroughly enjoyed the final programming quiz to implement a dice game.

創建者 ZBOct 13th 2018

I really enjoyed taking this course. The teaching was pretty good and some of the quiz questions will challenge you if you haven't done Combinatorics before.

講師

Avatar

Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering
Avatar

Vladimir Podolskii

Associate Professor
Computer Science Department

關於 加州大学圣地亚哥分校

UC San Diego is an academic powerhouse and economic engine, recognized as one of the top 10 public universities by U.S. News and World Report. Innovation is central to who we are and what we do. Here, students learn that knowledge isn't just acquired in the classroom—life is their laboratory....

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...

關於 Introduction to Discrete Mathematics for Computer Science 專項課程

Discrete Math is needed to see mathematical structures in the object you work with, and understand their properties. This ability is important for software engineers, data scientists, security and financial analysts (it is not a coincidence that math puzzles are often used for interviews). We cover the basic notions and results (combinatorics, graphs, probability, number theory) that are universally needed. To deliver techniques and ideas in discrete mathematics to the learner we extensively use interactive puzzles specially created for this specialization. To bring the learners experience closer to IT-applications we incorporate programming examples, problems and projects in our courses....
Introduction to Discrete Mathematics for Computer Science

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