À propos de ce cours

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Résultats de carrière des étudiants

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50%

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Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Dates limites flexibles
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Niveau débutant
Approx. 20 heures pour terminer
Anglais
Sous-titres : Anglais, Grec, Chinois (simplifié)

Compétences que vous acquerrez

Random VariableProbability InterpretationsProbabilityCombinatorics

Résultats de carrière des étudiants

33%

ont bénéficié d'un avantage concret dans leur carrières grâce à ce cours

50%

a obtenu une augmentation de salaire ou une promotion
Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
Niveau débutant
Approx. 20 heures pour terminer
Anglais
Sous-titres : Anglais, Grec, Chinois (simplifié)

Offert par

Logo Université de Californie à San Diego

Université de Californie à San Diego

Logo Université nationale de recherche, École des hautes études en sciences économiques

Université nationale de recherche, École des hautes études en sciences économiques

Programme du cours : ce que vous apprendrez dans ce cours

Évaluation du contenuThumbs Up87%(5,366 notes)Info
Semaine
1

Semaine 1

3 heures pour terminer

Basic Counting

3 heures pour terminer
12 vidéos (Total 54 min), 4 lectures, 9 quiz
12 vidéos
Rule of Sum3 min
How Not to Use the Rule of Sum3 min
Convenient Language: Sets4 min
Generalized Rule of Sum3 min
Number of Paths4 min
Rule of Product3 min
Back to Recursive Counting3 min
Number of Tuples5 min
Licence Plates3 min
Tuples with Restrictions5 min
Permutations9 min
4 lectures
Slides1 min
Slides1 min
Listing All Permutations5 min
Slides1 min
8 exercices pour s'entraîner
Rule of Sum in Programming4 min
Numbers Divisible by 2 or 38 min
Operations with Sets10 min
Generalized Rule of Sum18 min
Rule of Product in Programming10 min
Applications of the Rule of Product12 min
Tuples5 min
Counting with Restrictions20 min
Semaine
2

Semaine 2

4 heures pour terminer

Binomial Coefficients

4 heures pour terminer
8 vidéos (Total 76 min), 4 lectures, 6 quiz
8 vidéos
Number of Games in a Tournament10 min
Combinations8 min
Pascal's Triangle9 min
Symmetries4 min
Row Sums10 min
Binomial Theorem12 min
Practice Counting13 min
4 lectures
Generating Combinatorial Objects: Code10 min
Slides10 min
Slides10 min
Slides10 min
6 exercices pour s'entraîner
Number of Segments and Diagonals20 min
Forming Sport Teams15 min
Number of Iterations of Nested For Loops30 min
Sum of the First Six Rows of Pascal's Triangle30 min
Expanding (3a-2b)^k20 min
Practice Counting30 min
Semaine
3

Semaine 3

3 heures pour terminer

Advanced Counting

3 heures pour terminer
8 vidéos (Total 36 min), 3 lectures, 8 quiz
8 vidéos
Review3 min
Salad5 min
Combinations with Repetitions7 min
Distributing Assignments Among People3 min
Distributing Candies Among Kids3 min
Numbers with Fixed Sum of Digits4 min
Numbers with Non-increasing Digits2 min
Splitting into Working Groups4 min
3 lectures
Salads10 min
Slides1 min
Slides1 min
8 exercices pour s'entraîner
Salads10 min
Combinations with Repetitions10 min
Distributing Assignments Among People10 min
Distributing Candies Among Kids15 min
Numbers with Fixed Sum of Digits15 min
Numbers with Non-increasing Digits7 min
Splitting into Working Groups10 min
Problems in Combinatorics45 min
Semaine
4

Semaine 4

5 heures pour terminer

Probability

5 heures pour terminer
17 vidéos (Total 126 min), 4 lectures, 11 quiz
17 vidéos
Galton Board6 min
Natural Sciences and Mathematics6 min
Rolling Dice7 min
More Probability Spaces10 min
Not Equiprobable Outcomes4 min
More About Finite Spaces6 min
Mathematics for Prisoners7 min
Not All Questions Make Sense10 min
What Is Conditional Probability?7 min
How Reliable Is The Test?8 min
Bayes' Theorem8 min
Conditional Probability: A Paradox7 min
Past and Future8 min
Independence8 min
Monty Hall Paradox8 min
`Our Position'6 min
4 lectures
Slides
Slides
Slides
Slides
10 exercices pour s'entraîner
Concentration for Galton Board10 min
Computing Probabilities for Two Dice12 min
Computing Probabilities: More Examples12 min
Fair Decisions and Imperfect Coins20 min
Inclusion-Exclusion Formula10 min
Computing Conditional Probabilities16 min
Prisoner, King and Conditional Probabilities10 min
More Conditional Probabilities8 min
More About Independence20 min
Monty Hall Gone Crazy20 min

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À propos du Spécialisation Introduction to Discrete Mathematics for Computer Science

Discrete Mathematics is the language of Computer Science. One needs to be fluent in it to work in many fields including data science, machine learning, and software engineering (it is not a coincidence that math puzzles are often used for interviews). We introduce you to this language through a fun try-this-before-we-explain-everything approach: first you solve many interactive puzzles that are carefully designed specifically for this online specialization, and then we explain how to solve the puzzles, and introduce important ideas along the way. We believe that this way, you will get a deeper understanding and will better appreciate the beauty of the underlying ideas (not to mention the self confidence that you gain if you invent these ideas on your own!). To bring your experience closer to IT-applications, we incorporate programming examples, problems, and projects in the specialization....
Introduction to Discrete Mathematics for Computer Science

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