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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 number systems, covering natural numbers, rationals, irrationals, and constants like √2, π, and e. Learners explore density and ordering on the real line, operations on rationals and irrationals, and develop skills in crafting concise proofs for projects and advanced studies.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers using quick, accurate reasoning.
  • Handle rational numbers with rigour: equivalence, closure properties, and proofs.
  • Clearly outline proofs of irrationality for √2, π, and e.
  • Demonstrate density of rationals and reals, constructing examples between any reals.
  • Craft concise, professional mathematical proofs and explanatory projects.

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 switch 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 switch chapters and skip content I don't need.
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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 really help with learning.
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André FelipePrompt Engineering Student

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