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Real Numbers Course

Real Numbers Course
from 4 to 360h flexible workload
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 order 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.
  • Demonstrate irrationality of √2, π, and e using neat proof outlines.
  • Prove density in rationals and reals, constructing examples between any two reals.
  • Produce concise, professional maths proofs and project write-ups for analysis.

Suggested summary

Before starting, you can change the chapters and 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 classes are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...
Giulio Carlo
Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can change chapters and skip content I don't need.
Mariana Ferres
Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!
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Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos help a lot with learning.
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André FelipePrompt Engineering Student

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