About this Course
최근 조회 34,647

다음 전문 분야의 5개 강좌 중 2번째 강좌:

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

초급 단계

완료하는 데 약 21시간 필요

권장: 6 weeks, 3-5 hours/week ...

영어

자막: 영어, 그리스어, 중국어 (간체자)

귀하가 습득할 기술

Random VariableProbability InterpretationsProbabilityCombinatorics

다음 전문 분야의 5개 강좌 중 2번째 강좌:

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

초급 단계

완료하는 데 약 21시간 필요

권장: 6 weeks, 3-5 hours/week ...

영어

자막: 영어, 그리스어, 중국어 (간체자)

강의 계획 - 이 강좌에서 배울 내용

1
완료하는 데 3시간 필요

Basic Counting

12 videos (Total 54 min), 4 readings, 9 quizzes
12개의 동영상
Convenient Language: Sets4m
Generalized Rule of Sum3m
Number of Paths4m
Rule of Product3m
Back to Recursive Counting3m
Number of Tuples5m
Licence Plates3m
Tuples with Restrictions5m
Permutations9m
4개의 읽기 자료
Slides1m
Slides1m
Listing All Permutations5m
Slides1m
8개 연습문제
Rule of Sum in Programming4m
Numbers Divisible by 2 or 38m
Operations with Sets10m
Generalized Rule of Sum18m
Rule of Product in Programming10m
Applications of the Rule of Product12m
Tuples5m
Counting with Restrictions20m
2
완료하는 데 3시간 필요

Binomial Coefficients

8 videos (Total 76 min), 4 readings, 6 quizzes
8개의 동영상
Pascal's Triangle9m
Symmetries4m
Row Sums10m
Binomial Theorem12m
Practice Counting13m
4개의 읽기 자료
Generating Combinatorial Objects: Code10m
Slides10m
Slides10m
Slides10m
6개 연습문제
Number of Segments and Diagonals20m
Forming Sport Teams15m
Number of Iterations of Nested For Loops4m
Sum of the First Six Rows of Pascal's Triangle2m
Expanding (3a-2b)^k20m
Practice Counting10m
3
완료하는 데 3시간 필요

Advanced Counting

8 videos (Total 36 min), 3 readings, 8 quizzes
8개의 동영상
Distributing Assignments Among People3m
Distributing Candies Among Kids3m
Numbers with Fixed Sum of Digits4m
Numbers with Non-increasing Digits2m
Splitting into Working Groups4m
3개의 읽기 자료
Salads10m
Slides1m
Slides1m
8개 연습문제
Salads10m
Combinations with Repetitions10m
Distributing Assignments Among People10m
Distributing Candies Among Kids15m
Numbers with Fixed Sum of Digits15m
Numbers with Non-increasing Digits7m
Splitting into Working Groups10m
Problems in Combinatorics45m
4
완료하는 데 5시간 필요

Probability

17 videos (Total 126 min), 4 readings, 11 quizzes
17개의 동영상
Rolling Dice7m
More Probability Spaces10m
Not Equiprobable Outcomes4m
More About Finite Spaces6m
Mathematics for Prisoners7m
Not All Questions Make Sense10m
What Is Conditional Probability?7m
How Reliable Is The Test?8m
Bayes' Theorem8m
Conditional Probability: A Paradox7m
Past and Future8m
Independence8m
Monty Hall Paradox8m
`Our Position'6m
4개의 읽기 자료
Slides
Slides
Slides
Slides
10개 연습문제
Concentration for Galton Board10m
Computing Probabilities for Two Dice12m
Computing Probabilities: More Examples12m
Fair Decisions and Imperfect Coins20m
Inclusion-Exclusion Formula10m
Computing Conditional Probabilities16m
Prisoner, King and Conditional Probabilities10m
More Conditional Probabilities8m
More About Independence20m
Monty Hall Gone Crazy20m
4.6
50개의 리뷰Chevron Right

40%

이 강좌를 통해 확실한 경력상 이점 얻기

67%

급여 인상 또는 승진하기

Combinatorics and Probability의 최상위 리뷰

대학: 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.

대학: 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.

강사

Avatar

Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering
Avatar

Vladimir Podolskii

Associate Professor
Computer Science Department

캘리포니아 샌디에고 대학교 정보

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....

국립 연구 고등 경제 대학 정보

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...

About the Introduction to Discrete Mathematics for Computer Science 전문 분야

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

자주 묻는 질문

  • 강좌에 등록하면 바로 모든 비디오, 테스트 및 프로그래밍 과제(해당하는 경우)에 접근할 수 있습니다. 상호 첨삭 과제는 이 세션이 시작된 경우에만 제출하고 검토할 수 있습니다. 강좌를 구매하지 않고 살펴보기만 하면 특정 과제에 접근하지 못할 수 있습니다.

  • 강좌를 등록하면 전문 분야의 모든 강좌에 접근할 수 있고 강좌를 완료하면 수료증을 취득할 수 있습니다. 전자 수료증이 성취도 페이지에 추가되며 해당 페이지에서 수료증을 인쇄하거나 LinkedIn 프로필에 수료증을 추가할 수 있습니다. 강좌 내용만 읽고 살펴보려면 해당 강좌를 무료로 청강할 수 있습니다.

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