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Natural Numbers Course

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

What will I learn?

This course provides a strong foundation in prime numbers, unique factorization, divisibility, greatest common divisor, and the Euclidean algorithm. It then advances to ordering principles, well-ordering, mathematical induction with detailed examples. Additionally, it covers concepts of infinity, bijections, and cardinality, while enhancing proof-writing techniques to ensure precise, structured, and persuasive arguments, computations, and projects.

Elevify advantages

Develop skills

  • Master prime factorization to quickly factor integers and use GCD and LCM effectively.
  • Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations.
  • Develop skills in induction and well-ordering to construct solid proofs on natural numbers.
  • Understand infinity and cardinality by applying bijections to infinite sets.
  • Improve proof writing to deliver clear, precise arguments suitable 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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Very great course. Lots of rich information.
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