Acerca de este Curso
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100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

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Nivel principiante

Aprox. 21 horas para completar

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

Inglés (English)

Subtítulos: Inglés (English), Griego, Chino (simplificado)

Habilidades que obtendrás

Random VariableProbability InterpretationsProbabilityCombinatorics

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel principiante

Aprox. 21 horas para completar

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

Inglés (English)

Subtítulos: Inglés (English), Griego, Chino (simplificado)

Programa - Qué aprenderás en este curso

Semana
1
3 horas para completar

Basic Counting

12 videos (Total 54 minutos), 4 lecturas, 9 cuestionarios
12 videos
Rule of Sum3m
How Not to Use the Rule of Sum3m
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
4 lecturas
Slides1m
Slides1m
Listing All Permutations5m
Slides1m
8 ejercicios de práctica
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
Semana
2
3 horas para completar

Binomial Coefficients

8 videos (Total 76 minutos), 4 lecturas, 6 cuestionarios
8 videos
Number of Games in a Tournament10m
Combinations8m
Pascal's Triangle9m
Symmetries4m
Row Sums10m
Binomial Theorem12m
Practice Counting13m
4 lecturas
Generating Combinatorial Objects: Code10m
Slides10m
Slides10m
Slides10m
6 ejercicios de práctica
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
Semana
3
3 horas para completar

Advanced Counting

8 videos (Total 36 minutos), 3 lecturas, 8 cuestionarios
8 videos
Salad5m
Combinations with Repetitions7m
Distributing Assignments Among People3m
Distributing Candies Among Kids3m
Numbers with Fixed Sum of Digits4m
Numbers with Non-increasing Digits2m
Splitting into Working Groups4m
3 lecturas
Salads10m
Slides1m
Slides1m
8 ejercicios de práctica
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
Semana
4
5 horas para completar

Probability

17 videos (Total 126 minutos), 4 lecturas, 11 cuestionarios
17 videos
Galton Board6m
Natural Sciences and Mathematics6m
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
4 lecturas
Slides
Slides
Slides
Slides
10 ejercicios de práctica
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
59 revisionesChevron Right

33%

consiguió un beneficio tangible en su carrera profesional gracias a este curso

50%

consiguió un aumento de sueldo o ascenso

Principales revisiones sobre 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.

Instructores

Avatar

Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering
Avatar

Vladimir Podolskii

Associate Professor
Computer Science Department

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Preguntas Frecuentes

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