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Real Numbers Course

Real Numbers Course
flexible workload from 4 to 360h
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. Learners will study 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 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

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