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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 real numbers, covering natural numbers, rationals, irrationals like √2, π, and e. Learners study density and order on the real line, operations on rationals and irrationals, and develop skills in concise proofs for projects and advanced math studies.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers quickly and accurately.
  • Handle rational numbers with rigor, including equivalence, closure, and proofs.
  • Demonstrate irrationality of √2, π, and e using clear proof outlines.
  • Prove density of rationals in reals and construct numbers between any two reals.
  • Craft concise, professional proofs and math exposition for analysis studies.

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 classes are perfect. I purchased 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, I've already recommended you to others...
Giulio Carlo
Giulio CarloDigital Marketing Student
I like how the lessons are 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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