Fun tricks for everybody
A two hour long free course on fun tricks in mathematics
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
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.
Reviews (37)
Andrés E.
Udemy student
Great course, don't hesitate to buy Hania Uscka-Wehlou courses... is a great instructor/teacher!
Peter S.
Udemy student
This is a breath of fresh air; ways of thinking about numbers and their relations that I have not come across, and will broaden my maths vision.
Roger G.
Udemy student
Simply amazing!
John H.
Udemy student
Good sample problems in number theory.
Tim K.
Udemy student
I love Professor Hania's classes. She generously offers 3 free courses and in a Bonus Lecture for the free courses she is providing coupon codes that give big discounts for her paid courses (as of 10-6-25). I learned a lot in this class and I appreciate Hania's slow, step-by-step, clear, patient approach. I feel like she wants me to know math! Thank you, Hania! (I'm slowly working through the Discrete Math 1 course and enjoying it : )
Ramanathan B.
Udemy student
good one
Hymavathi
Udemy student
Interesting to learn Mathematics
Warren T.
Udemy student
Yes, it now makes sense. When I first saw years ago at Uni, didn't get it!
Meutya Z.
Udemy student
The course gives me a new insight into the material
Andreas S.
Udemy student
Great course, thank you very much! Do you already know when the Calculus 2 Course is published?
Andrzej K.
Udemy student
This instructor explains everything in detail and like all of her courses she is excellent.
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.
Sajeda
Udemy student
Thank you ❤️❤️
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!
Mayakkannan B.
Udemy student
Nicely explained... Great watch for young age math enthusiasts as this can shape the way we think about problem solving
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.
Gohar G.
Udemy student
Thank you so much for a nice course
Eduardo F.
Udemy student
Eexcelente curso sobre trucos matemáticos y demostraciones. Aprendí bastante y lo recomiento al 100%.Machine translation: An excellent course on math tricks and proofs. I learned a lot and recommend it 100%.
Tatjana K.
Udemy student
I like voice of the teacher and exciting content
Rachid E.
Udemy student
Very good course.
Faith A.
Udemy student
THANKS
Sigmund C.
Udemy student
super fun derivations and tricks! very clear and intuitive explanations.
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.
Maja K.
Udemy student
Amazing!
Darwis T.
Udemy student
Good
Matt F.
Udemy student
Good course
Piyathon 9.
Udemy student
Everything was clearly explained, but Im just curios about the thinking skill on the frist step derivation,step of the starting derivation, the mathematics is already know but the ideas to derive is not there yet.
Overall,Thank you, I really enjoyed the whole courses
Overall,Thank you, I really enjoyed the whole courses
Christian K.
Udemy student
It was very interesting. The solutions were all tractable.
The only thing I was missing is some comment on how to come up with the approaches in the derivation part.
Do you have to be able to see it or is there a more systematic way?
The only thing I was missing is some comment on how to come up with the approaches in the derivation part.
Do you have to be able to see it or is there a more systematic way?
Suppachai M.
Udemy student
That's great.
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.
Hridoy K.
Udemy student
Its really good
Santiago P.
Udemy student
Muy Buena y entretenidaMachine translation: Very good and entertaining
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. This is my 11th course by Hania and Martin that I've completed and I can recommend all of them.
Tim
Udemy student
A lovely video.
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.
Stephen C.
Udemy student
Clear explanations of interesting (almost magical) topics.