Fun tricks for everybody

A two hour long free course on fun tricks in mathematics

Image precalculus part 1

Prerequisites

High-school maths, mainly arithmetic.

Curriculum

This course concentrates on a few interesting and fun examples of derivations of formulas and their geometrical interpretation.

Math: Fun tricks for everybody

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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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Creative problem solving, with fun tricks and geometrical illustrations of the results.
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How to derive the formulas for partial sums for two very important examples of arithmetic progressions: 1+2+…+n and 1+3+5+…+(2n-1).
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How to derive some less known formulas, using cool computational tricks.
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You will learn (from an article) how to convert infinite periodic decimal expansions into fractions, by smart substitutions and solving linear equations.
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You will learn (from an article) about an interesting family of nested square roots and how to prove that some members of this family are… integers!
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How to derive the formula for the sum of squares of all natural numbers from 1 to n.
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How to derive the general formula for partial sums of geometric progressions; an important example of the sum of all the natural powers (from 1 to n) of 1/2.
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How to prove divisibility in some simple cases, using very basic (but fun) reasoning.
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You will learn (from an article) some basics about continued fractions (CF), and how to recognise irrational surds from their infinite periodic CF-expansions.
Aman P.
Udemy student
Courses like maths should be designed for slow learners like me and I guess this is how I want to be taught mathematics, all the explanations to be precise and slow-spoken.
Rachid E.
Udemy student
Very good course.
Sajeda
Udemy student
Thank you ❤️❤️
Warren T.
Udemy student
Yes, it now makes sense. When I first saw years ago at Uni, didn't get it!
John H.
Udemy student
Good sample problems in number theory.
Stephen C.
Udemy student
Clear explanations of interesting (almost magical) topics.
Tatjana K.
Udemy student
I like voice of the teacher and exciting content
Andrzej P.
Udemy student
Such a fun course! A lot of interesting tricks and exercises in these short lectures, they provide a good way to learn how to think about math problems.
Matt F.
Udemy student
Good course
Hymavathi
Udemy student
Interesting to learn Mathematics