Integer Parts Course
This course delivers practical mastery of floor, ceiling, and fractional part functions through examples, proofs, and techniques. Gain tools for counting, divisibility, inequalities, and precise arguments in contests, research, and advanced math, ensuring error-free solutions with confidence.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain rapid expertise in floor, ceiling, and fractional part functions, including properties, inequalities, and manipulations. Apply them to sums, counting, divisibility, and intervals with 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 evaluations.
- Simplify sums involving floor and ceiling using grouping and index techniques.
- Apply integer parts to solve counting, divisibility, and remainder problems.
- Prevent common errors like off-by-one with reliable checking methods.
- Leverage fractional parts for efficient, 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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