Integer Parts Course
Gain solid command of floor, ceiling, and fractional parts through clear examples, proofs, and sum techniques. Develop reliable tools for counting problems, divisibility tests, inequalities, and precise integer arguments suited for contests, research, and higher maths without common slip-ups.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course builds quick, practical skills in floor, ceiling, and fractional part functions. Learners gain mastery over essential properties, vital inequalities, and smart techniques, applying them to sums, counting, divisibility, and interval challenges. With brief proofs, examples, and checks, you'll dodge pitfalls and craft sharp solutions confidently.
Elevify advantages
Develop skills
- Master floor and ceiling rules for swift, accurate use in tough problems.
- Handle floor and ceiling sums with grouping, shifts, and counting tricks.
- Use integer parts for proofs in counting, divisibility, and remainders.
- Prevent mistakes like off-by-one, signs, and inequalities via smart checks.
- Apply fractional and nearest-integer parts in 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 workloadWhat our students say
Your lessons are perfect. I got the one-year package and finally have the chance to follow several topics I'm interested in without having to switch platforms... I appreciate everything you do, and I've already recommended you to others...

Giulio CarloDigital Marketing Student
I like how the lessons get straight to the point and how I can switch chapters and skip content I don't need.

Mariana FerresPhotography Student
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Luciana AlvarengaNail Design Student
The platform is fast and easy to use. The variety of content and the extra videos really help with learning.

Giulio CarloPrompt Engineering Student
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