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

h

Get the outline

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

Get Fun tricks for everybody

This course is completely free on Udemy. Click this panel to get to the download page.

Course Objectives & Outcomes

Z
Creative problem solving, with fun tricks and geometrical illustrations of the results.
Z
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).
Z
How to derive some less known formulas, using cool computational tricks.
Z
You will learn (from an article) how to convert infinite periodic decimal expansions into fractions, by smart substitutions and solving linear equations.
Z
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!
Z
How to derive the formula for the sum of squares of all natural numbers from 1 to n.
Z
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.
Z
How to prove divisibility in some simple cases, using very basic (but fun) reasoning.
Z
You will learn (from an article) some basics about continued fractions (CF), and how to recognise irrational surds from their infinite periodic CF-expansions.
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. This is my 11th course by Hania and Martin that I've completed and I can recommend all of them.
Matt F.
Udemy student
Good course
Jesús 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!
Tatjana K.
Udemy student
I like voice of the teacher and exciting content
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.
Roger G.
Udemy student
Simply amazing!
Hymavathi
Udemy student
Interesting to learn Mathematics
Mayakkannan B.
Udemy student
Nicely explained... Great watch for young age math enthusiasts as this can shape the way we think about problem solving
Rachid E.
Udemy student
Very good course.
Faith A.
Udemy student
THANKS