Understanding Mathematical Proofs
4.8 (4 ratings)
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Understanding Mathematical Proofs

Aimed at beginners to understand how Math proofs are constructed and how to prove by contradiction from scratch
4.8 (4 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
93 students enrolled
Created by El Farouk Yasser
Last updated 5/2017
English
Current price: $10 Original price: $50 Discount: 80% off
5 hours left at this price!
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Includes:
  • 34 mins on-demand video
  • 2 Articles
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • How to prove a statement using contradiction
  • How proof by contradiction really works
  • The intuition behind proof by contradiction
  • Clear understanding of one of the strongest proof techniques in mathematics
  • Understanding of what a rational, irrational, primes, and other mathematical terms mean
View Curriculum
Requirements
  • Very basic understanding of algebra
Description

Have you always been intrigued by mathematical proofs and how they are constructed? Have you always had the misconception that only Math geniuses can do proofs? Well now you can understand and write maths proofs too! 

This course is an introduction for beginners to proofs and helps you understand what proofs are really about. We start by one of the most famous proofs techniques known as proof by contradiction. We first explain what proof by contradiction is and then we start going right into some exercises! 

We will prove several math statements in the course. For example, I will show how you can prove that the square root of 2 is irrational or that there is an infinite number of primes!

By the end of this course, you should be fairly familiar with proofs by contradictions and should be able to embark on your journey with proofs since you will have a solid foundation of how proof by contradiction, a very basic but strong proof method, really works. 

Who is the target audience?
  • Anyone interested in mathematical proofs
  • Anyone interested in becoming a math or computer science major
  • Anyone who wishes to understand mathematical proofs and their elegance
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Curriculum For This Course
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Introduction and Easy Examples
8 Lectures 24:34



Example 2: Prove that the difference of rationals and irrational is irrational
05:48


Self Practice
00:10

Example 4: Prove that the sum of two even numbers is even
04:00

Example 5: Prove that the negative of any irrational is also irrational
03:14
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Advanced Proof by contradiction examples
3 Lectures 10:29
Example 6: Prove that square root of 2 is irrational
05:20

Example 7: Prove there is an infinite number of primes
04:18

Exercises to Test yourself
00:51
About the Instructor
El Farouk Yasser
4.8 Average rating
4 Reviews
93 Students
1 Course
Double Major in Mathematics and Computer Science

I am currently a Sophomore studying Mathematics and Computer Science, which are my main two passions. I have so many passions and interests. They include but are not limited to Mathematical proofs, Competitive programming, Elementary number theory, video game programming, and machine learning just to name a few! However, I would have to say that my main passion is teaching. I really enjoy teaching Mathematics to everyone, and I really enjoy when my students get that "Aha!" moment.