Fun tricks for everybody

A two hour long free course on fun tricks in mathematics

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Prerequisites

High-school maths, mainly arithmetic.

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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

Creative problem solving, with fun tricks and geometrical illustrations of the results.

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).

How to derive some less known formulas, using cool computational tricks.

You will learn (from an article) how to convert infinite periodic decimal expansions into fractions, by smart substitutions and solving linear equations.

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!

How to derive the formula for the sum of squares of all natural numbers from 1 to n.

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.

How to prove divisibility in some simple cases, using very basic (but fun) reasoning.

You will learn (from an article) some basics about continued fractions (CF), and how to recognise irrational surds from their infinite periodic CF-expansions.

Mayakkannan Subhas Chandra B.

Udemy student

Nicely explained… Great watch for young age math enthusiasts as this can shape the way we think about problem solving.

Jesús Rafael N.

Udemy student

The course is outstanding! The content is comprehensive and well-structured, covering all aspects in mathematics tricks. The instructors are knowledgeable and supportive, making complex concepts easy to understand. The multimedia resources make learning engaging and effective. Highly recommended for anyone looking to improve their mathematics skills!

Eduardo Yee F.

Udemy student

Eexcelente curso sobre trucos matemáticos y demostraciones. Aprendí bastante y lo recomiento al 100%.

Aman Kumar 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.

Tatjana K.

Udemy student

I like voice of the teacher and exciting content.

Maciej K.

Udemy student

Great course! Presented problems are very well illustrated. Perfect for high-school students, and for all interested in mathematics.

Wanda W.

Udemy student

Very nice selection of interesting maths problems! Highly recommended for everybody who likes mathematics, even for high-school students. Interesting articles with stuff (like continued fractions) that was completely new to me.

texvn I.

Udemy student

Very helpful. Great teaching method. we had teachers at south point like this. she is a golden teacher. want her TO TRAIN STUDENTS at institutes in kolkata. INDIA. its great learning.

Paul H.

Udemy student

The way you teach is so important because you demonstrate the principles and thought process. Some people teach math just by going through the steps to a solution, but what is often missed is the art of the demonstration. I truly appreciate how you guide us to the discovery which is quite difficult to do without mechanically drawing out the conclusion. Sometimes I find that I will pause your video and I might think for an hour or even I stop the lesson. It might be that I need to really think about what you just did. Or I don’t quite understand so I don’t want to just overlook it. So I may do something else. At some time later it will come to me. I think about something that you said maybe even a month ago from the time I last studied your lesson and I find some pearl. Just amazing!!! That is when you know that you are truly a superb instructor. I hope you will continue to teach us because there is no one quite like you.

Stephen C.

Udemy student

Clear explanations of interesting (almost magical) topics.

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.