Integer Parts Course
Gain solid control over floor, ceiling, and fractional part functions through clear examples, proofs, and sum techniques. Develop essential tools for counting problems, divisibility tests, inequalities, and precise integer arguments in contests, research, and higher maths, ensuring error-free solutions every time.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course delivers practical mastery of floor, ceiling, and fractional part functions. Learn their properties, inequalities, and manipulations, then use them in sums, counting, divisibility, and intervals. With brief proofs, examples, and checks, build confidence to dodge errors and craft neat solutions.
Elevify advantages
Develop skills
- Master floor and ceiling functions for quick real-world calculations.
- Simplify sums with floor and ceiling using smart grouping techniques.
- Use integer parts for proofs in counting, divisibility, and remainders.
- Avoid common pitfalls like off-by-one errors with reliable checks.
- Apply fractional parts in sharp, competition-level proofs.
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 workloadWhat our students say
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