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Real Numbers Course

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

What will I learn?

This course provides a strong foundation in number systems, covering natural numbers, rationals, irrationals, and constants like √2, π, and e. You'll study density and order on the real line, operations on rationals and irrationals, and develop skills in crafting concise proofs for projects and advanced math studies.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers using precise reasoning.
  • Rigorous manipulation of rational numbers: equivalence, closure, and proofs.
  • Explain irrationality of √2, π, and e with clear proof outlines.
  • Prove density of rationals and reals, constructing examples between numbers.
  • Craft concise, polished proofs and expository math projects.

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 are saying

Your classes 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... thank you for everything you do, 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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