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Learner Reviews & Feedback for Combinatorics and Probability by University of California San Diego

808 ratings

About the Course

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 online 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....

Top reviews


Feb 26, 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!


Dec 25, 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.

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76 - 100 of 178 Reviews for Combinatorics and Probability

By Kuldeep K

Apr 26, 2020

A must-do basic level course for combinatorics and probability for beginners

By Dmytro N

Nov 1, 2017

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

By Jack

Jun 17, 2020

Very helpful with my combinatorics and probability!!!!!!!!!!!!!!!!!!!!!!!

By Purva G

Aug 31, 2020

A very well structured and beautiful course made my concepts very strong

By Juliano P

Jan 2, 2021

Very nice course on the topic, lots of helpful exercises and practice!

By Harsh

Jul 9, 2021

Great course with good explaination and lots of practice problems.

By 慕容惜花

Jan 24, 2020

Good course and help me a lot with a certain degree of difficulty

By Abhilash J

Oct 5, 2020

Great experience. Used a lot of thinking skills in this course.

By ankith u

Aug 29, 2020

was very useful, gave new insight towards probability theory

By Xiaoyuan C

Jan 11, 2018

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

By Vamsee M K

Dec 2, 2017

A very nice introduction to probability and combinatorics.

By Neelam U

Oct 7, 2020

I really liked the content and the design of the course.

By Javier O

Dec 15, 2017

Excellent and complete course. I completely recommend it

By Jayanth C

Feb 14, 2021

Nice explanations and a great introduction to Python!

By Gary M

Sep 20, 2020

Extremely enjoyable course. I gained valuable insight

By Constantin C

Apr 17, 2021

Very good. I enjoyed doing this course. Thank you!

By Umesh S

Nov 16, 2020

nice built up and different ways to explain things

By Nick S

Jun 12, 2020

Python knowledge is a must for the final projects!

By Ziqi Y

Dec 31, 2018

Great! Challenging final project but worth trying!

By Miguel A D A

Nov 25, 2018

Super interesting the topic about combinatorics

By Shubham K P

Apr 19, 2019

Especially the probability part was very good.

By Orkun Ö

Oct 15, 2019

Great course! Many thanks to the instructors!

By Steven W

Dec 1, 2017

This course will fill your head with numbers.

By Snehal P

Jul 13, 2020

Wonderful course everything is just perfect.

By Ayrton C A d A

Sep 28, 2020

Excellent course, with quite fun problems!