Proofs by induction

A 2 hour free course on proofs by induction

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

Image precalculus part 1

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

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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.

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!

Eduardo Yee F.

Udemy student

Increíble curso, por fin pude entender las demostraciones por inducción, cien por ciento recomendado.

Debbie C.

Udemy student

Very clear and interesting. Videography is great. I like the personal touch of seeing the instructor as she presents the material.

Tim H.

Udemy student

I always enjoy her very thorough and well explained courses. Thanks!!

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.

Instructor response

Thank you for the great review! Induction is also a part of my large course “Precalculus 1: Basic notions”. There is no QA for free courses on Udemy, but you can ask me any questions about the steps that were unclear in this course via the QA for Precalculus 1 (preferably under some lecture about induction), even if the particular proofs are not given in Precalculus 1. I will be happy to help.

Min Soo K.

Udemy student

Really good teacher! I highly recommend her and her other courses as well.

Francesco M.

Udemy student

Probably one of the best teachers on Udemy!

Gerald R.

Udemy student

Outstanding presentation!!! Opened my eyes and understanding of proof by mathematical induction….

Nicholas N.

Udemy student

YOU’RE THE BEST ! I haven’t had an Instructor like you so detailed, knowledgeable with lots of follow though in her work !