Proofs by induction

A 2 hour free course on proofs by induction

This is a two hour long course about mathematical proofs by induction.

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Prerequisites

High-school maths, mainly arithmetic.

Curriculum

This course concentrates on just one topic, proofs by induction, which is usually introduced in high-school and then comes back in various courses on college or university level.

Proofs by induction

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Get the outline

A detailed list of the lectures can be found in a PDF outline by clicking this panel.

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This is a free course. Just click this panel to be taken to the download page on Udemy.

Course Objectives & Outcomes

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How to conduct proofs by induction and in what circumstances we should use them.
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Prove (by induction) some statements about divisibility of natural numbers.
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Prove (by induction) some simple inequalities holding for natural numbers.
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Prove (by induction) some formulas holding for natural numbers.
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Prove (by induction) explicit formulas for sequences defined in a recursive way.
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You will also get information about more advanced examples of proofs by induction.
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You will get a short explanation how to use the symbols Sigma and Pi for sums and products.
Antonio R.
Udemy student
Another magnificent course that motivates me to continue learning!
Franklin C.
Udemy student
Yea...at least I now understand the rudiments of mathematical induction.
Thank you so much ma
.
Mohammad U.
Udemy student
Great explanation
Simon B.
Udemy student
Fantastic course.
Bob M.
Udemy student
This was a very helpful course for someone who struggles a little with proofs. The Professor is a superb teacher and explains all the material in great depth. I can wholeheartedly recommend this course.
Carlene F.
Udemy student
Prove Things by the principle of induction is essential in many fields of Mathematics and Physics. I really enjoyed the presentation of the concept and the examples throughout the course.
RLH
Udemy student
Although I didn’t completely understand some of the steps that were done in some of the proofs, I feel that I have a better understanding about how proofs by mathematical induction works.
Carlos
Udemy student
Really felt like I got a lot from a small course. Nice, thorough explanation. Looking to see what else the professor offers!
Ahmed M.
Udemy student
prefect course and perfect instructor
thank you
Ahmed Mabrouk
anmy@usa.com
00201008980005
SHIVA M.
Udemy student
She explains with a well preparation in a very expressive manner, and points out even the details like implication symbol and notations which is a very important quality most teachers of math happen to overlook but has a huge impact on transmission.
She also understands the importance of intuition and origin of a concept, to enhance the idea. This particular quality I expect from many teachers, but rarely come across the ones who values it.
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