Integer Parts Course
Gain strong skills in floor, ceiling, and fractional part functions through clear examples, proofs, and sum techniques. Develop reliable methods for counting, divisibility, inequalities, and precise integer work in contests, research, and higher math, building confidence with error checks and practical applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course builds fast, practical expertise in floor, ceiling, and fractional part functions. Learn essential properties, inequalities, and manipulations, then use them in sums, counting, divisibility, and intervals. Benefit from brief proofs, examples, and checks to dodge errors and craft confident, clear solutions.
Elevify advantages
Develop skills
- Master floor and ceiling functions for quick real-world use.
- Simplify sums with floor and ceiling via grouping and shifts.
- Use integer parts in proofs for counting and divisibility.
- Prevent common errors like off-by-one with reliable checks.
- Apply fractional parts in sharp competition 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 workload.What our students say
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