返回到 Combinatorics and Probability

4.6

stars

344 個評分

•

64 條評論

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.

篩選依據：

創建者 Karan S

•Sep 02, 2019

The explanations with examples and simulations make the concepts crystal clear.

創建者 Dmytro N

•Nov 01, 2017

I like the course very much! Thanks a lot guys, keep creating new courses!

創建者 Xiaoyuan C

•Jan 12, 2018

Excellent course! Thanks for the effort of the course team!

創建者 Vamsee M K

•Dec 02, 2017

A very nice introduction to probability and combinatorics.

創建者 Javier O

•Dec 15, 2017

Excellent and complete course. I completely recommend it

創建者 Ziqi Y

•Dec 31, 2018

Great! Challenging final project but worth trying!

創建者 Miguel D

•Nov 26, 2018

Super interesting the topic about combinatorics

創建者 Shubham K P

•Apr 19, 2019

Especially the probability part was very good.

創建者 Orkun Ö

•Oct 15, 2019

Great course! Many thanks to the instructors!

創建者 Steven W

•Dec 01, 2017

This course will fill your head with numbers.

創建者 Kartish J

•Sep 05, 2019

I Love It while learning this course:)

創建者 Parthasaradhi T

•Jul 16, 2019

Best Course for beginners

創建者 Akash y

•Jun 14, 2019

it is a nice course

創建者 Zhe Y

•Jul 23, 2018

pure math course...

創建者 Serhat G

•Dec 22, 2018

Excellent, thanks.

創建者 DANISH M

•Sep 25, 2019

taught me a lot

創建者 Arka M

•Jul 08, 2018

Great Course.

創建者 Vyacheslav K

•Sep 06, 2019

Excellent!

創建者 Nguyen K T

•Sep 11, 2019

so useful

創建者 Stefan D

•Nov 18, 2017

Loved it

創建者 Ganna S

•Nov 22, 2017

Great!)

創建者 HaotianWang

•Jul 15, 2018

useful

創建者 Vicky L

•Mar 06, 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.

創建者 Vincent L

•Sep 12, 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!

創建者 Anton M P

•Dec 17, 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.