Real Numbers Course
Gain deep insight into real numbers, from rationals to irrationals such as √2, π, and e. Master proofs, density properties on the real line, and effective mathematical writing to boost your reasoning skills and communication for higher-level studies in Ghanaian or American maths contexts.

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. You'll study density and ordering on the real line, operations on rationals and irrationals, and learn to craft precise proofs and explanations for projects and advanced maths.
Elevify advantages
Develop skills
- Classify real, rational, and irrational numbers quickly and accurately.
- Handle rational numbers with rigour: equivalence, closure, and solid proofs.
- Clearly outline proofs for irrationality of √2, π, and e.
- Demonstrate density of rationals and reals, constructing examples between any reals.
- Produce concise, professional maths proofs and project write-ups 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 workloadWhat our students say
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