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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

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Very great course. Lots of rich information.
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