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Real Numbers Course

Real Numbers Course
flexible workload of 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 order on the real line, operations on rational and irrational numbers, and develop skills in crafting precise proofs and explanations for projects and advanced studies.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers accurately and swiftly.
  • Handle rational numbers with rigour: equivalence, closure, and proofs.
  • Demonstrate irrationality of √2, π, and e using concise proofs.
  • Establish density of rationals and reals, constructing examples between numbers.
  • Craft polished mathematical proofs and explanatory projects for 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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