Integer Parts Course
Dive deep into floor, ceiling, and fractional part functions through solid examples, proofs, and sum techniques. Develop powerful methods for counting, divisibility, inequalities, and precise integer reasoning suited for research, math competitions, and higher-level maths, all while dodging common errors.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course delivers quick, hands-on expertise in floor, ceiling, and fractional part functions. Gain mastery over essential properties, vital inequalities, and smart techniques, then use them in sums, counting problems, divisibility tests, and interval analysis. With brief proofs, detailed examples, and rapid checks, steer clear of 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 counting, divisibility, and remainder proofs.
- Prevent mistakes like off-by-one, sign flips, and inequality slips via checks.
- Leverage fractional and nearest-integer parts for tight, contest-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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