Integer Parts Course
Gain command over floor, ceiling, and fractional part functions through solid examples, proofs, and sum techniques. Develop reliable methods for counting, divisibility tests, inequalities, and precise integer reasoning suited for research, math competitions, and higher-level studies. Perfect for building error-free arguments with speed and accuracy.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This course delivers quick, hands-on mastery of floor, ceiling, and fractional part functions. Learners gain expertise in essential properties, vital inequalities, and smart techniques, applying them to sums, counting problems, divisibility, and intervals. With brief proofs, detailed examples, and rapid checks, you dodge typical pitfalls and craft sharp, confident solutions.
Elevify advantages
Develop skills
- Master floor and ceiling rules for swift, accurate use in tough problems.
- Calculate and streamline floor/ceiling sums using groupings, shifts, and counts.
- Deploy integer-part methods in proofs for counting, divisibility, and remainders.
- Prevent mistakes like off-by-one, sign flips, and inequality slips via smart checks.
- Leverage fractional and nearest-integer parts for tight, contest-level 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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