Back to Mathematical Thinking in Computer Science
University of California San Diego

Mathematical Thinking in Computer Science

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 online 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.

Status: Python Programming
Status: Computational Thinking
BeginnerCourse42 hours

Featured reviews

JO

5.0Reviewed Oct 16, 2017

I really liked this course, it's a good introduction to mathematical thinking, with plenty of examples and exercises, I also liked the use of other external graphical tools as exercises.

DG

5.0Reviewed Jun 30, 2018

Love the quality of thought that goes into each lesson. The professors speak with acute clarity and really demonstrate and empathy for the student to truly understand the topics!

KH

5.0Reviewed May 8, 2021

Mathematical thinking seemed very difficult to approach but from this course I was able to advance myself more progressively through puzzles and examples which was very easy to understand.

HM

5.0Reviewed May 8, 2020

This course is good for beginner.rather than being complicated it will change the way you think.one advice---- you should have knowledge of python basic to complete the assignment of this course

RS

4.0Reviewed Sep 20, 2021

The Lectures were pretty clear and concept oriented. Yet there were some topics which aren't much clear, but still the whole course is pretty well arranged and good in explaining

JN

5.0Reviewed Apr 29, 2020

Course was good, but sometimes i needed additional sources to understand topic better. Maybe, it was because of my english. Anyway it gave me a path what i should look for! Thank you!

DS

5.0Reviewed Nov 7, 2022

This course has made me appreciate discrete mathematics than ever before. If you're even thinking about taking this course, then I RECOMMEND that you stop thinking and take it!

HS

4.0Reviewed Apr 26, 2019

Contents are very good for starting..... But the Teachers way of explaining is not up to the mark. I need to search in youTube or google for understanding any topic even watching the videos.

MA

5.0Reviewed Jun 26, 2020

This course will improve your problem solving skills and gives you a rigorous explanation in how to counter various mathematical problems in the real life. You will think like a mathematician.

KP

4.0Reviewed Jan 27, 2020

I applaud the instructors for their efforts in explaining the concepts as they could be abstract and hard to explain in words! More examples to illustrate the concepts will be even more helpful!

OA

4.0Reviewed Mar 4, 2024

quizes: 5/5 readings: 4.5/5 vedio: -2000/5 The explanations in the videos weren't good at all. Maybe there will be better content in later courses in this specialization, but we'll see.

MI

5.0Reviewed Sep 16, 2020

Positive: Great material, full of concepts, the teaching is simple and interactive, quizzes are amazing.Negative: Too much python programming (need to be aware of python basics)

All reviews

Showing: 20 of 523

Ricardo Galvão
2.0
Reviewed Mar 8, 2018
Victor Lazari
1.0
Reviewed Dec 15, 2018
Ryan Bilkie
1.0
Reviewed Jan 17, 2020
Luc Nanga
1.0
Reviewed Dec 14, 2018
Lukas Ansteeg
3.0
Reviewed Jan 5, 2018
Chian Yee Lee
2.0
Reviewed Mar 6, 2019
Erdem O
1.0
Reviewed Jan 5, 2018
kirill leonov
5.0
Reviewed Nov 29, 2018
Aneesh Deshmukh
5.0
Reviewed Mar 27, 2019
Sam
1.0
Reviewed Dec 15, 2018
Parthasaradhi Terugu
5.0
Reviewed Jan 30, 2019
Prakhar Deroliya
5.0
Reviewed Jul 15, 2019
Cy Lee
5.0
Reviewed Apr 14, 2019
Dave Gagnat
5.0
Reviewed Jun 30, 2018
jonathan cunningham
2.0
Reviewed Apr 19, 2019
Rob Saul
2.0
Reviewed Jun 15, 2018
Kayla Matthews
5.0
Reviewed Apr 15, 2020
Christopher Walker
5.0
Reviewed Feb 3, 2020
Vijay Ram
1.0
Reviewed Dec 20, 2018
Ayush Thada
5.0
Reviewed Oct 22, 2017