Informações sobre o curso
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Prazos flexíveis

Redefinir os prazos de acordo com sua programação.

Nível iniciante

Aprox. 21 horas para completar

Sugerido: 6 weeks, 3-5 hours/week ...

Inglês

Legendas: Inglês, Grego, Chinês (simplificado)

Habilidades que você terá

Random VariableProbability InterpretationsProbabilityCombinatorics

100% online

Comece imediatamente e aprenda em seu próprio cronograma.

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.

Nível iniciante

Aprox. 21 horas para completar

Sugerido: 6 weeks, 3-5 hours/week ...

Inglês

Legendas: Inglês, Grego, Chinês (simplificado)

Os alunos fazendo este Course são

  • Machine Learning Engineers
  • Software Engineers
  • Risk Managers
  • Scientists
  • Data Scientists

Programa - O que você aprenderá com este curso

Semana
1
3 horas para concluir

Basic Counting

12 vídeos (Total 54 mín.), 4 leituras, 9 testes
12 videos
Rule of Sum3min
How Not to Use the Rule of Sum3min
Convenient Language: Sets4min
Generalized Rule of Sum3min
Number of Paths4min
Rule of Product3min
Back to Recursive Counting3min
Number of Tuples5min
Licence Plates3min
Tuples with Restrictions5min
Permutations9min
4 leituras
Slides1min
Slides1min
Listing All Permutations5min
Slides1min
8 exercícios práticos
Rule of Sum in Programming4min
Numbers Divisible by 2 or 38min
Operations with Sets10min
Generalized Rule of Sum18min
Rule of Product in Programming10min
Applications of the Rule of Product12min
Tuples5min
Counting with Restrictions20min
Semana
2
3 horas para concluir

Binomial Coefficients

8 vídeos (Total 76 mín.), 4 leituras, 6 testes
8 videos
Number of Games in a Tournament10min
Combinations8min
Pascal's Triangle9min
Symmetries4min
Row Sums10min
Binomial Theorem12min
Practice Counting13min
4 leituras
Generating Combinatorial Objects: Code10min
Slides10min
Slides10min
Slides10min
6 exercícios práticos
Number of Segments and Diagonals20min
Forming Sport Teams15min
Number of Iterations of Nested For Loops4min
Sum of the First Six Rows of Pascal's Triangle2min
Expanding (3a-2b)^k20min
Practice Counting10min
Semana
3
3 horas para concluir

Advanced Counting

8 vídeos (Total 36 mín.), 3 leituras, 8 testes
8 videos
Review3min
Salad5min
Combinations with Repetitions7min
Distributing Assignments Among People3min
Distributing Candies Among Kids3min
Numbers with Fixed Sum of Digits4min
Numbers with Non-increasing Digits2min
Splitting into Working Groups4min
3 leituras
Salads10min
Slides1min
Slides1min
8 exercícios práticos
Salads10min
Combinations with Repetitions10min
Distributing Assignments Among People10min
Distributing Candies Among Kids15min
Numbers with Fixed Sum of Digits15min
Numbers with Non-increasing Digits7min
Splitting into Working Groups10min
Problems in Combinatorics45min
Semana
4
5 horas para concluir

Probability

17 vídeos (Total 126 mín.), 4 leituras, 11 testes
17 videos
Galton Board6min
Natural Sciences and Mathematics6min
Rolling Dice7min
More Probability Spaces10min
Not Equiprobable Outcomes4min
More About Finite Spaces6min
Mathematics for Prisoners7min
Not All Questions Make Sense10min
What Is Conditional Probability?7min
How Reliable Is The Test?8min
Bayes' Theorem8min
Conditional Probability: A Paradox7min
Past and Future8min
Independence8min
Monty Hall Paradox8min
`Our Position'6min
4 leituras
Slides
Slides
Slides
Slides
10 exercícios práticos
Concentration for Galton Board10min
Computing Probabilities for Two Dice12min
Computing Probabilities: More Examples12min
Fair Decisions and Imperfect Coins20min
Inclusion-Exclusion Formula10min
Computing Conditional Probabilities16min
Prisoner, King and Conditional Probabilities10min
More Conditional Probabilities8min
More About Independence20min
Monty Hall Gone Crazy20min
4.6
54 avaliaçõesChevron Right

40%

consegui um benefício significativo de carreira com este curso

67%

recebi um aumento ou promoção

Principais avaliações do Combinatorics and Probability

por 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.

por 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.

Instrutores

Avatar

Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering
Avatar

Vladimir Podolskii

Associate Professor
Computer Science Department

Sobre Universidade da Califórnia, San Diego

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Perguntas Frequentes – FAQ

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