Volver a Combinatorics and Probability

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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.
Do you have technical problems? Write to us: coursera@hse.ru...

Dec 26, 2019

Great course, lots of good info, not too long. Some of the coding assignments and quizzes are challenging, but the staff respond very quickly to questions in the forums.

Aug 03, 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.

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por Charalampos R P

•Oct 09, 2018

Most of the courses of this specialisation (not only on prob) are VERY hard to follow. Instructors lack of passion while teaching and they just reading the script from the slides. Whatever I passed and learned was from random sources at the internet.

To the instructors: Take a blackboard and start solving the problems by hand. By reading a long queue of numbers from slides for 10min, the student can't follow at all. This is not a simple presentation, this is math topics. You can't just pass a slide full of numbers and some sentences thinking that the student can comprehend all that stuff.

On the other hand, on the 3rd party quizzes has been made a magnificent job.

por Vijay R

•Nov 24, 2018

While I imagine Alexander Shen to be a great person and a math genius, he seems entirely unprepared for the lectures. He speaks well, I can understand his accent, but his lack of preparation and poor slides make a difficult situation terrible. The other instructors do a much better job, but I also wish there were more tests of our knowledge.

por Mike P

•Mar 03, 2019

Quite enjoyable, however Alex is not the strongest presenter though his passion is evident :)

por AJ A

•Sep 26, 2018

Good first course in probability/combinatorics at the university level; last assignment had a lot more coding than other assignments, a lot more

por Mallori H

•Oct 05, 2017

Hard to understand lecturer

por BAPPADITYA D

•Dec 03, 2019

This course offers very detailed concepts of probability theory and helps students to think over real world scenarios where we can apply the magic of probability theory. One needs continuous study of the provided resources and notes to grasp the intuition of probability theory. As per what I have learned from this course is that probability theory is not only abstract mathematics with equations and formulas with tips and tricks rather how we interpret every single problem. Its really random in nature. Thanks to the teachers of these course for interpreting these complex concepts in a much easier and acceptable way.

por Saptarshi M

•Oct 10, 2018

Concepts are presented in such a way that a novice can understand easily. For an advanced learner, there are concepts that are lit from a different perspective. Not all the instructors are equally competent. Sometimes you have to watch the videos twice to get the full understanding. But that's worth of your time. Overall enjoyable. Programming practices are also good and of intermediate quality.

por Blanca H M

•Nov 28, 2019

One of the best MOOCs I have ever taken! Very engaging instructors and good material. My only objection would be some more advanced lectures, as I really enjoyed the last one and the dice game, but still very valuable, especially if you want to brush up on combinatorics and probability or want to improve these abilities for programming, as the quizzes are challenging and well thought.

por Jedediah S

•May 19, 2019

This course was really challenging. I feel like the final project was more difficult to program than to calculate so make sure you have a solid foundation in python. Also itertools is very helpful. The instructors were clear in the lectures and I felt like there was a good progression of exercises. I was really challenged by this course but highly recommend it.

por liang t

•Jan 06, 2018

It is a pretty good course. although I have learnt probability theory both in undergraduate and postgraduate level, it still gives me some inspiration toward probability theory. I love the examples given in the lecture, which are classical and typical enough. Some paradoxes examples help me to understand the probability theory better and clearer.

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por Yunsuk P

•Jan 04, 2020

This course does have some coding challenges which are at the same time very interesting. Actually, I did not think much about combinatorics in terms of coding but this was a very nice opportunity to learn more about mathematical thinking for programming and problem-solving.

por Aditya K P

•Jan 27, 2018

Clear and concise lectures, mixed with examples rooted in daily life makes this offering of the course one of the best courses for probability for the general audience. The instructors easily manage to convey and teach non-intuitive facts with ease. A must have.

por Ogbekile C

•Jan 26, 2020

Combinatorics and Probability course has helped me know probability and combinatorics better than what was taught in school. This course is unique and well-taught for beginner and I can't wait to finish the remaining courses under this Specialization.

por Pedro M H V

•Jun 18, 2018

Really nice introduction to discrete math and basic algorithms. The content is quite basic, but as mentioned in the syllabus is for beginners. Still, for those of you who are at that level is worth taking this specialization.

por Alexey S

•Sep 21, 2019

Thank you for your course. The content was engaging, teachers were great. I was doing last exercise for long 5 hours to realize there was a simple mistake in my code, pure pleasure, excellent

por Joseph G N

•Apr 28, 2019

This course is a nice introduction to probability and give good ideas to make proof of combinatorics (the week 2 was the best), all of this give it in a nice an intuitive way.

por Keenan B

•Dec 26, 2019

Great course, lots of good info, not too long. Some of the coding assignments and quizzes are challenging, but the staff respond very quickly to questions in the forums.

por Putcha L N R

•Aug 03, 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 Ziad B

•Oct 13, 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.

por Chen Z

•Sep 11, 2018

The final project is hard for me cuz I don't have Python experience. and the logic is a little bit complicated. That's not for absolutely beginners!

por Joseph A D

•Feb 11, 2018

informative material presented clearly and simply. I had studied bayes before and it was nice to get a concise review.

por Peter N

•Apr 06, 2019

Fantastic course! Really like Vladimir Podolskii's explanations and sense of humor. Great dice game at the end!

por Juan L O V

•Oct 30, 2017

This one is a bit more 'mathy' than the first one, it has a good pace and the exercises are really cool

por Andrew M

•Nov 11, 2017

A great course that is well organized. I love Professor Alexander Shen, because he makes me happy.

por Ashish D S

•Jul 14, 2018

Content of this course is excellent. Basic Python programming skill is required for this course.