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.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course delivers practical mastery of floor, ceiling, and fractional part functions, covering properties, inequalities, and manipulations. Apply them to sums, counting, divisibility, and intervals with short proofs, examples, and checks to build confident, concise problem-solving skills.
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
Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of interest without needing to change platforms... I'm grateful for everything you do, I've already recommended you to other people...

Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can change chapters and skip content I don't need.

Mariana FerresPhotography Student
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The platform is fast and simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
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