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

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course delivers practical mastery of floor, ceiling, and fractional part functions. Learn core properties, inequalities, and manipulations, applying them to sums, counting, divisibility, and intervals. Benefit from short proofs, examples, and checks to dodge errors and craft clear solutions.
Elevify advantages
Develop skills
- Master floor and ceiling functions for quick, accurate real-world calculations.
- Simplify sums with floor and ceiling using grouping and index techniques.
- Use integer parts for proofs in counting, divisibility, and remainders.
- Prevent common errors like off-by-one with reliable checks.
- Apply fractional parts in 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
Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of interest without needing to change platforms... I'm grateful for everything you do, I've already recommended you to other people...

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

Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
FAQ
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
Course in PDF