Voltar para Combinatorics and Probability

estrelas

750 classificações

•

166 avaliações

Counting is one of the basic mathematically related tasks we encounter on a day to day basis. The main question here is the following. If we need to count something, can we do anything better than just counting all objects one by one? Do we need to create a list of all phone numbers to ensure that there are enough phone numbers for everyone? Is there a way to tell that our algorithm will run in a reasonable time before implementing and actually running it? All these questions are addressed by a mathematical field called Combinatorics.
In this course we discuss most standard combinatorial settings that can help to answer questions of this type. We will especially concentrate on developing the ability to distinguish these settings in real life and algorithmic problems. This will help the learner to actually implement new knowledge. Apart from that we will discuss recursive technique for counting that is important for algorithmic implementations.
One of the main `consumers’ of Combinatorics is Probability Theory. This area is connected with numerous sides of life, on one hand being an important concept in everyday life and on the other hand being an indispensable tool in such modern and important fields as Statistics and Machine Learning. In this course we will concentrate on providing the working knowledge of basics of probability and a good intuition in this area. The practice shows that such an intuition is not easy to develop.
In the end of the course we will create a program that successfully plays a tricky and very counterintuitive dice game.
As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students....

SP

26 de Fev de 2021

Special thanks to Prof. Vladimir Podolskii and Prof. Alexander S. Kulikov for their amazing explanations and diligent visuals of the concepts as well as problem sets. You Rock!

JC

8 de Set de 2020

It's a perfect introduction to combinatorics and probability, short, fun, and easy to understand. I would like to see more puzzles, those are extremely fun and interesting

Filtrar por:

por Vicky L

•6 de Mar de 2019

The course is structured reasonably well. I especially liked how the quizzes were setup, there were lots of them testing my understanding from different angles.

However, I felt some of the videos could do with a bit more editing (with the typos and etc.). While these errors were pointed out as quizzes inside the video, it gets a bit distracting. Furthermore, for some of the weeks (week 4 say), there were a lot more material comparing to others (week 6 say). It felt a bit strange with such a huge change in workload to me personally and would have been nice to be slightly more consistent.

Overall, I enjoyed the course and felt like I have learnt the basics for what I wanted. Thanks.

por Vincent L

•12 de Set de 2018

overall great course and it was exactly what I was looking for. I deducted one star because there were multiple mistakes in the video which were caught immediately by the yellow bar notification, but still was somewhat disappointed because the mistakes were simple, which mean it was as instructors were blindly reading the script rather than thinking and doing the problem on the spot. With that being said though, I really really liked the course and would recommend this to anyone who is looking to have a primer on combinatorics!

por Anton M P

•17 de Dez de 2017

This course is indeed a very well taught introduction to combinatorics and probability theory, and it can positively ground the student in all the foundational aspects of the discipline with both intuitive-geometric explanations and more advanced formal definitions.

It has helped me consolidate various concepts of probability and combinatorics thanks to the different points of view and examples through which these mathematical objects are presented. Highly recommended.

por Trần C L

•5 de Nov de 2019

Quite hard to fully understand Combinatorics and Probability since it's a complicated aspect. The russian teachers have standard skill with ok English, sometimes I lost my focus and didn't pay enough attention because they lacks of appealing approaches. I am sure this course has brought me many very interesting topics and quizzes. Pretty average teaching quality but with excellent choices of content. This course deserves 8/10, good!

por Ahmad A

•10 de Jul de 2021

** (( Notice that u need to know how to program to succeed in the final project ))**
Great course but I get to be honest with two point that made me give this rating
**#1** Instructor poor preparations for the videos and poor explanations for some topics
**#2** Some Assignment were "Over powered" for our current knowledge so u must be prepared that you will need to google some stuff coz you will get stuck many times.

por Ethan H

•14 de Set de 2020

Good course overall. Sometimes, lectures felt like they were not taking the shortest path to reach student understanding. It would also be nice to see the solution for the final problem written by the instructor; it would be great to see alternative (and likely better) solutions than the one I wrote!

por Jonathan M

•6 de Fev de 2021

Last assignment was a test of programming intuition and python usage not covered in course. It wasn't overly difficult, but I could see how it would annoy people considering there was little guidance about the implementation (programming) of the material covered in lectures. Otherwise, good course.

por Sudheera S

•29 de Ago de 2018

Good introduction to combinations. I enjoyed the programming while learning mathematics. The audio of Prof. Alexander Shen is not clear in many instances. The way the checks are done in between the video lectures helps keep going with course. The tests and well designed. Good job Coursera.

por Tomas R

•19 de Jul de 2020

I took me some time to get used to the accent of lecturers, but otherwise the course was quite good. I liked that there also was a focus on intuitive understanding, and the difference between "normal" usage of some probabilistic term in language and exact mathematical meaning.

por Gunjan B

•25 de Jul de 2020

This course cover all important aspects of the probability. But the topics are explained in bit shorter time and without explaining the practical use of this in algorithm implementation. However it has explained where in the real world the fundamentals are used.

por Tobin H

•10 de Abr de 2021

Excellent content, Russian lecturers face some language barriers but for the content and style of learning it is well worth overcoming these minor language things. Language in math is hard anyways so thinking a bit extra does not hurt. Useful course.

por Jasvin M

•21 de Mai de 2020

I've been taught Combinatorics & Probability before too in my college but this course helped iron out a lot of basic doubts and gave a lot of cool examples that will remember some basic concepts if in case you ever end up forgetting it.

por Bryan W B

•27 de Nov de 2018

Much stronger than the first course in this series. I very much enjoyed Vladimir and Alexander's lectures. The weakest part, unfortunately, were Alexander Shen's weeks. I must credit him, however, for being very responsive on the forum.

por Alikhanov A

•4 de Abr de 2020

Good course for people who forgot or never ever knew combinatorics and probability theory. A lot of applications and examples, but teachers pronounciation is not the best. I am russian but even for me it was difficult sometimes=)

por Mark P T

•1 de Ago de 2020

Great course. The final Project unclear had instructions on how to provide input. I spent a lot of time trying to troubleshoot it even though I already have a correct solution

por Umakant V

•23 de Jan de 2020

This course provided me with new ways to confront the problems of combinatorics. I am very grateful to the faculty for their content and coursera for giving me financial aid.

por yk

•9 de Abr de 2020

Everything except Week 4 was great. Alexander Shen the instructor for week 4 cannot explain a concept without adding more confusion to the subject.

por Juan P Y

•1 de Mar de 2018

Awesome course, good topics. Easy to get help. Some topics weren't that clear at first, but you'll eventually understand.

por Abhishek K

•31 de Mai de 2021

I really liked the course. Most of the concepts were explained lucidly. The final assignment was enjoyable.

por Malik T

•18 de Fev de 2020

In this course, the use of language is a huge obstacle for students to understand the teachers clearly.

por giannisvasilakopoulos

•31 de Jan de 2021

Very good course. I learned a lot of things although I think it would be better to have more examples.

por Rishabh A

•10 de Mai de 2020

The course had amazing content and everything except the probability had a top-notch explanation.

por Ajit B

•19 de Out de 2017

I think the level could have been a bit more advanced. Overall a good course though.

por Mahade H

•28 de Ago de 2020

English was not that much of good, but the contents were awesome. Learned so much.

por Abhinav M

•4 de Jun de 2020

Probability courses could have been more structured and more about definitions

- Analista de dados do Google
- Gestão de projetos no Google
- Design de UX no Google
- Suporte de TI do Google
- Ciência de dados da IBM
- Analista de dados da IBM
- Análise de dados da IBM com Excel e R
- Analista de Cibersegurança da IBM
- Marketing em mídias sociais do Facebook
- Desenvolvedor de nuvem full stack – IBM
- Representante de desenvolvimento de vendas da Salesforce
- Operações de vendas da Salesforce
- Suporte de tecnologias da informação do Google
- Certificado profissional de suporte em TI do Google
- Automação da TI do Google com Python
- DeepLearning.AI no TensorFlow
- Certificações populares de segurança cibernética
- Certificações populares de SQL
- Certificações populares de TI
- Ver todos os certificados

- cursos gratuitos
- Aprenda um idioma
- pythonpython
- Java
- web designweb design
- SQL
- Cursos grátis
- Microsoft Excel
- Gestão de projetos
- Segurança cibernéticaSegurança Cibernética
- Recursos humanos
- Cursos gratuitos de ciência de dados
- falar inglês
- Redação de conteúdo
- Desenvolvimento Web completoDesenvolvimento Web Completo
- Inteligência artificial
- Programação em C
- Habilidades de comunicação
- Blockchain
- Veja todos os cursos

- Competências para equipes de ciência de dados
- Tomada de Decisões Baseada em Dados
- Habilidades de engenharia de software
- Habilidades Pessoais para Equipes de Engenharia
- Habilidades Administrativas
- Habilidades de marketing
- Habilidades para Equipes de Vendas
- Habilidades de Gerente de Produto
- Habilidades Financeiras
- Projetos de desenvolvimento de Android
- Projetos em TensorFlow e Keras
- Python para todosPython para todos
- Aprendizagem profunda
- Habilidades em Excel para negócios
- Fundamentos de negóciosFundamentos dos Negócios
- Aprendizagem Automática
- Fundamentos da AWS
- Fundamentos de engenharia de dados
- Competências de análise de dados
- Habilidades para designers de UX

- Certificados MasterTrack®
- Certificados profissionais
- Certificados universitários
- Graduações em negócios e MBA
- Graduações em Ciência de Dados
- Graduações em Ciência da Computação
- Graduações em análise de dados
- Graduações em Saúde Pública
- Graduações em ciências sociais
- Graduações em gestão
- Graduações nas melhores universidades europeias
- Mestrados
- Bacharelados
- Graduações com uma trajetória de desempenho
- Cursos em Ciências (BSc)
- O que é uma licenciatura?
- Quanto tempo leva um mestrado?
- Um MBA on-line vale a pena?
- 7 maneiras de pagar pela pós-graduação
- Ver todos os graus