Volver a Combinatorics and Probability

4.6

256 calificaciones

•

48 revisiones

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....

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.

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!

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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 Mallori H

•Oct 05, 2017

Hard to understand lecturer

por Parthasaradhi T

•Jul 16, 2019

Best Course for beginners

por Akash y

•Jun 14, 2019

it is a nice course

por Tarun M

•May 20, 2019

This course really brought the best out of me in terms of logical programming. The last task needed hours of hard work, but was a fun challenge. However, I felt that the instructors could have been a bit more responsive on the forums to help us clear our doubts.

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 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 Shubham K P

•Apr 19, 2019

Especially the probability part was very good.

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 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.

por Remy E F

•Feb 07, 2019

Sometimes difficult to follow along with the accent for material that I already found new and challenging. Needed to supplement with Khan Academy and other sources.

por Michael K H E

•Jan 22, 2019

Prof Vlad has really great examples!

por Ziqi Y

•Dec 31, 2018

Great! Challenging final project but worth trying!

por Serhat G

•Dec 22, 2018

Excellent, thanks.

por Bryan W B

•Nov 27, 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 Miguel D

•Nov 26, 2018

Super interesting the topic about combinatorics

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 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 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 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!

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 Sudheera S

•Aug 29, 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 Zhe Y

•Jul 23, 2018

pure math course...

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