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Natural Numbers Course

Natural Numbers Course
flexible workload of 4 to 360h
valid certificate in your country

What will I learn?

This course provides a strong foundation in prime numbers, unique factorisation, divisibility, GCD, and the Euclidean algorithm. It then advances to order, well-ordering principle, and mathematical induction with detailed examples. You will also delve into concepts of infinity, bijections, and cardinality, while honing proof-writing skills to ensure your arguments, calculations, and final project are accurate, well-structured, and persuasive.

Elevify advantages

Develop skills

  • Master prime factorisation to break down integers quickly and utilise GCD and LCM effectively.
  • Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations accurately.
  • Develop skills in induction and well-ordering to construct solid proofs over natural numbers.
  • Understand infinity and cardinality by applying bijections to analyse infinite sets.
  • Learn to write clear, precise proofs suitable for professional mathematical communication.

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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