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

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Acquire practical mastery of 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 real-world evaluations.
- Simplify sums with floor and ceiling using grouping and shifts.
- Apply integer parts to counting, divisibility, and remainder proofs.
- Prevent common errors like off-by-one with verification techniques.
- Leverage fractional parts for 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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