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Real Numbers Course

Real Numbers Course
from 4 to 360h flexible workload
certificate valid 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 concise proofs for projects and advanced maths.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers with sharp, quick reasoning.
  • Handle rational numbers precisely: equivalence, closure, and solid proofs.
  • Demonstrate irrationality of √2, π, and e using clear proof outlines.
  • Prove density of rationals and reals, constructing examples between any reals.
  • Craft concise, refined proofs and expository pieces for mathematical 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

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