Back to Mathematical Thinking in Computer Science

4.4

stars

1,310 ratings

•

312 reviews

Mathematical thinking is crucial in all areas of computer science: algorithms, bioinformatics, computer graphics, data science, machine learning, etc. In this course, we will learn the most important tools used in discrete mathematics: induction, recursion, logic, invariants, examples, optimality. We will use these tools to answer typical programming questions like: How can we be certain a solution exists? Am I sure my program computes the optimal answer? Do each of these objects meet the given requirements?
In the course, we use a try-this-before-we-explain-everything approach: you will be solving many interactive (and mobile friendly) puzzles that were carefully designed to allow you to invent many of the important ideas and concepts yourself.
Prerequisites:
1. We assume only basic math (e.g., we expect you to know what is a square or how to add fractions), common sense and curiosity.
2. Basic programming knowledge is necessary as some quizzes require programming in Python....

Mar 26, 2019

The teachers are informative and good. They explain the topic in a way that we can easily understand. The slides provide all the information that is needed. The external tools are fun and informative.

Feb 02, 2020

I loved this course! So many interesting things to think about, thoughtfully explained by brilliant instructors. The puzzles really get you thinking. Such genius to put them before the lectures!

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By manish.engg2001@gmail.com

•Mar 28, 2018

Love the teaching style.

By Sriram N

•Jul 13, 2020

very clear explanations

By Anindya B

•Jun 22, 2020

It is the best course.

By FOYZ A R

•Aug 04, 2020

handsome presentation

By Carlo I

•Mar 23, 2020

Challenging problems!

By Shaikh F R

•Jun 19, 2020

Explained very well.

By Gorap K

•Jun 16, 2020

Best exprience wver

By Ajit C B

•Oct 13, 2017

Excellent course!

By Aneeketdaswani

•Jun 16, 2020

beautiful course

By Xavier

•Jul 21, 2019

excellent course

By Preetam K S

•Jul 20, 2020

Amazing Course!

By Charles P J

•Apr 06, 2020

Very enjoyable!

By MOHAMED G A E

•Jul 12, 2020

thanks so much

By Snehalkumar D P

•Jul 01, 2020

Just Excellent

By Ashton N

•Jun 08, 2020

Amazing course

By Zhe Y

•Jul 21, 2018

learned a lot

By Yuhua Y

•Oct 09, 2017

nice course

By v v p

•May 31, 2018

wonderfull

By Kallinatha H

•May 24, 2020

very good

By N R S

•May 20, 2020

Excellent

By evans

•Sep 09, 2019

very good

By Miguel A D A

•Oct 03, 2018

Perfect!

By Gaurav R P

•Oct 01, 2017

love it.

By maripalli s

•Aug 01, 2020

good

By Ethan H

•Jul 15, 2020

Good overall, but week 6 in particular was below my expectations. The students should not be answering questions in order to correct errors in the lecturer's phrasing; you should simply do the sensible thing and re-record the lecture, ensuring accuracy before posting. The final (albeit optional) project of the course is to write a solver for the 15-puzzle. This involved some graph theory self study, since graph theory is out of the scope of this course. A hastily explained intro to graph theory during the final lecture without slides is not sufficient to prepare the students for this task. I would strongly suggest a revision of the entire 6th week.

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