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Natural Numbers Course

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

What will I learn?

This Natural Numbers Course provides a firm, effective understanding of primes, unique factorisation, divisibility, GCD, and the Euclidean algorithm, progressing to order, well-ordering, and induction via clear, detailed examples. It further examines infinity, bijections, and cardinality, whilst honing proof methods and writing abilities to ensure precise, structured, and persuasive arguments, computations, and final projects.

Elevify advantages

Develop skills

  • Master prime factorisation: factor integers swiftly and apply GCD and LCM practically.
  • Gain fluency in the Euclidean algorithm: compute GCDs and linear combinations step by step.
  • Master induction and well-ordering: construct rigorous proofs on natural numbers confidently.
  • Explore infinity and cardinality: employ bijections to compare infinite set sizes.
  • Develop clear proof writing: deliver precise, readable arguments for mathematicians.

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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