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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 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 concise proofs for projects and advanced studies.

Elevify advantages

Develop skills

  • Classify real, rational, and irrational numbers using quick, accurate logic.
  • Handle rational numbers with rigor, including equivalence, closure, and 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 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

As suas aulas são perfeitas. Adquiri o pacote de um ano e, finalmente, tenho a oportunidade de acompanhar diversos temas do meu interesse sem precisar mudar de plataforma... agradeço por tudo o que fazem, já recomendei vocês a outras pessoas...
Giulio Carlo
Giulio CarloAluno de Marketing Digital
Eu gosto de como as lições são direto ao ponto e como eu consigo alterar capítulos e pular conteúdos que não preciso.
Mariana Ferres
Mariana FerresAluna de Fotografia
Gosto do conteúdo e do modo de apresentação e transcrição de vídeos, o que acelera o processo!
Luciana Alvarenga
Luciana AlvarengaAluna de Design de Unhas
A plataforma é rápida, simples de usar. A diversidade de conteúdo e os vídeos complementares ajudam muito no aprendizado.
Giulio Carlo
Giulio CarloAluno de Engenharia de Prompt

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