Real Numbers Course
Gain deep insights into real numbers, progressing from rationals to irrationals such as √2, π, and e. Master proofs, density properties on the real line, and effective mathematical writing to enhance reasoning and communication skills for higher mathematics.

flexible workload of 4 to 360h
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 will study density and order on the real line, operations on rational and irrational numbers, and develop skills in crafting precise proofs and explanations for projects and advanced studies.
Elevify advantages
Develop skills
- Classify real, rational, and irrational numbers accurately and swiftly.
- Handle rational numbers with rigour: equivalence, closure, and proofs.
- Demonstrate irrationality of √2, π, and e using concise proofs.
- Establish density of rationals and reals, constructing examples between numbers.
- Craft polished 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.What our students say
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