Integer Parts Course
This course delivers mastery of floor, ceiling, and fractional part functions through rigorous examples, proofs, and sum techniques. Develop powerful tools for counting, divisibility, inequalities, and precise integer arguments in contests, research, and advanced math, avoiding common pitfalls.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain rapid practical mastery of floor, ceiling, and fractional part functions. Master essential properties, inequalities, and manipulations, applying them to sums, counting, divisibility, and intervals. Brief proofs, examples, and checks ensure error-free, confident solutions.
Elevify advantages
Develop skills
- Master floor and ceiling principles for swift, accurate real-world evaluations.
- Simplify floor and ceiling sums using grouping, shifts, and double counting.
- Employ integer parts in proofs for counting, divisibility, and remainders.
- Prevent errors like off-by-one, sign flips, and inequality slips via verification.
- Leverage fractional and nearest-integer parts for compact, 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
As suas aulas são perfeitas. Adquiri o pacote de um ano e, finalmente, tenho a oportunidade de acompanhar diversos temas do meu interesse sem precisar mudar de plataforma... agradeço por tudo o que fazem, já recomendei vocês a outras pessoas...

Giulio CarloAluno de Marketing Digital
Eu gosto de como as lições são direto ao ponto e como eu consigo alterar capítulos e pular conteúdos que não preciso.

Mariana FerresAluna de Fotografia
Gosto do conteúdo e do modo de apresentação e transcrição de vídeos, o que acelera o processo!

Luciana AlvarengaAluna de Design de Unhas
A plataforma é rápida, simples de usar. A diversidade de conteúdo e os vídeos complementares ajudam muito no aprendizado.

Giulio CarloAluno de Engenharia de Prompt
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