Integer Parts Course
Gain command of floor, ceiling, and fractional part functions through examples, proofs, and sums. Develop skills for counting, divisibility, inequalities, and precise integer arguments in contests, research, and advanced maths, ensuring error-free solutions with confidence.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course delivers practical mastery of floor, ceiling, and fractional part functions. Learn core properties, inequalities, and manipulations, applying them to sums, counting, divisibility, and intervals. Benefit from short proofs, examples, and checks to dodge errors and craft clear solutions.
Elevify advantages
Develop skills
- Master floor and ceiling functions for quick, accurate real-world calculations.
- Simplify sums with floor and ceiling using grouping and index techniques.
- Use integer parts for proofs in counting, divisibility, and remainders.
- Prevent common errors like off-by-one with reliable checks.
- Apply fractional parts in sharp, competition-level 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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