Integer Parts Course
Gain strong skills in floor, ceiling, and fractional part functions through examples, proofs, and sums. Develop tools for counting, divisibility, inequalities, and reliable integer math in contests, research, and advanced studies. This course builds confidence with practical methods and error checks for clear solutions.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course teaches fast control of floor, ceiling, and fractional part functions. Learn key properties, inequalities, and manipulations, then use them in sums, counting, divisibility, and intervals. Examples, proofs, and checks ensure error-free, confident problem-solving.
Elevify advantages
Develop skills
- Master floor and ceiling functions for quick real-world use.
- Simplify sums with floor and ceiling via grouping and shifts.
- Use integer parts in proofs for counting and divisibility.
- Avoid common errors like off-by-one with simple checks.
- Apply fractional parts in short, clear competition proofs.
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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