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.
Gohar G.
Udemy student
Thank you so much for a nice course
Mayakkannan B.
Udemy student
Nicely explained... Great watch for young age math enthusiasts as this can shape the way we think about problem solving
Andrés E.
Udemy student
Great course, don't hesitate to buy Hania Uscka-Wehlou courses... is a great instructor/teacher!
Alejandro S.
Udemy student
Excelente elección, me gustó la forma en que explica y los subtítulos son exactos. Me gustaría tomar otros cursos con la instructora.Machine translation: Excellent choice—I liked the way she explains things, and the subtitles are accurate. I'd like to take other courses with this instructor.
Faith A.
Udemy student
THANKS
Rachid E.
Udemy student
Very good course.
Sajeda
Udemy student
Thank you ❤️❤️
Santiago P.
Udemy student
Muy Buena y entretenidaMachine translation: Very good and entertaining
Sigmund C.
Udemy student
super fun derivations and tricks! very clear and intuitive explanations.
Matt F.
Udemy student
Good course