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

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course builds a strong foundation in real number systems, covering natural numbers, rationals, irrationals, and constants like √2, π, and e. Learners explore density, order on the real line, operations on rationals and irrationals, and develop skills in crafting concise proofs for projects and advanced studies.
Elevify advantages
Develop skills
- Classify real, rational, and irrational numbers using quick, accurate logic.
- Handle rational numbers with rigour: equivalence, closure, and solid proofs.
- Clearly outline proofs showing irrationality of √2, π, and e.
- Demonstrate density in rationals and reals, constructing examples between any reals.
- Craft concise, professional proofs and expository pieces for maths analysis.
Suggested summary
Before starting, you can change the chapters and 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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