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Real Numbers Course

Real Numbers Course
4 to 360 hours 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 ordering on the real line, operations on rationals and irrationals, and develop skills in crafting concise proofs for projects and advanced maths.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers using sharp, efficient reasoning.
  • Handle rational numbers with rigour: equivalence, closure properties, and solid 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 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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Great course. Lots of valuable information.
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