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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 precise proofs and explanations for projects and advanced studies.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers using quick, accurate logic.
  • Handle rational numbers with rigour: equivalence, closure, and solid proofs.
  • Demonstrate irrationality of √2, π, and e through succinct proof outlines.
  • Establish density of rationals and reals, constructing examples between any reals.
  • Produce concise, refined proofs and expository work 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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Very great course. Lots of rich information.
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