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Real Numbers Course

Real Numbers Course
flexible workload of 4 to 360h
valid certificate in your country

What will I learn?

This course builds a strong foundation in number systems, covering natural numbers, rationals, irrationals, and constants like √2, π, and e. You'll study density and ordering on the real line, operations on rationals and irrationals, and learn to craft precise proofs and explanations for projects and advanced maths.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers quickly and accurately.
  • Handle rational numbers with rigour: equivalence, closure, and solid proofs.
  • Clearly outline proofs for irrationality of √2, π, and e.
  • Demonstrate density of rationals and reals, constructing examples between any reals.
  • Produce concise, professional maths proofs and project write-ups for analysis.

Suggested summary

Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload
Workload: between 4 and 360 hours

What our students say

Your lessons are perfect. I got the one-year package and finally have the chance to follow several topics I'm interested in without having to switch platforms... I appreciate everything you do, and I've already recommended you to others...
Giulio Carlo
Giulio CarloDigital Marketing Student
I like how the lessons get straight to the point and how I can switch chapters and skip content I don't need.
Mariana Ferres
Mariana FerresPhotography Student
I like the content and the way the videos are presented and transcribed, which speeds up the process!
Luciana Alvarenga
Luciana AlvarengaNail Design Student
The platform is fast and easy to use. The variety of content and the extra videos really help with learning.
Giulio Carlo
Giulio CarloPrompt Engineering Student

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