Mathematics: Fun tricks for everybody
Mathematics from high school to university
★★★★★ 4.9
(74 reviews)
2 hours of content
What you'll learn
- Problem solving that is creative, with interesting tricks and geometrical pictures of the results.
- How to calculate the sum of squares of all natural integers from 1 to n.
- How to develop partial sum formulas for two key arithmetic progressions: 1+2+...+n and 1+3+5+...+(2n-1).
- The universal formula for partial sums of geometric progressions; an essential example of the sum of all natural powers (from 1 to n) of 1/2.
- How to use interesting computational strategies to generate some lesser-known formulas.
- How to show divisibility in certain simple circumstances using simple (but entertaining) logic.
- Learn how to transform infinite periodic decimal expansions into fractions using smart replacements and linear equations (from an article).
- The fundamentals of continuous fractions (CF) and how to identify irrational surds from their infinite periodic CF-expansions (from an article).
- About an interesting family of nested square roots (from an article) and how to prove that some members of this family are... integers!
Introduces creative problem-solving strategies and formulas for arithmetic and geometric progressions, divisibility, decimal-to-fraction conversion, and continued fractions. Learners can apply these tricks to high school and university mathematics problems.
Who this course is for
Students and lifelong learners who want alternative approaches to common mathematics topics.
#mathematics
#problem-solving
#arithmetic
#sequences
#fractions
#divisibility