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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 firm, hands-on understanding of number systems, spanning natural numbers, rationals, irrationals, and essentials like √2, π, and e. Dive into density and ordering on the real line, operations on rationals and irrationals, and hone skills in crisp proofs and explanations for compact projects and higher-level maths.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers with sharp, quick reasoning.
  • Handle rational numbers precisely: equivalence, closure, and solid proofs.
  • Outline proofs of irrationality for √2, π, and e clearly and briefly.
  • Prove density of rationals and reals, building numbers between any two.
  • Craft concise, refined proofs and math projects for deeper 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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