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Duality Course

Duality Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

The Duality Course gives you a clear, practical path from linear programming formulation to full dual interpretation. You will express models in matrix form, build primal and dual pairs, and connect dual variables to shadow prices. Through focused examples, you solve small systems, verify strong duality and complementary slackness, and confidently translate abstract dual space theory into concrete problem-solving skills.

Elevify advantages

Develop skills

  • Model LPs in matrix form: quickly extract A, b, c from constraints.
  • Build LP duals from primals: apply sign rules and interpret shadow prices.
  • Use dual spaces: see rows of A as linear functionals and pricing operators.
  • Solve small primal–dual LPs by hand and verify strong duality, slackness.
  • Translate abstract duality into production planning insights in R^n.

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.
Workload: between 4 and 360 hours

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 Carlo
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 Ferres
Mariana FerresAluna de Fotografia
Gosto do conteúdo e do modo de apresentação e transcrição de vídeos, o que acelera o processo!
Luciana Alvarenga
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 Carlo
Giulio CarloAluno de Engenharia de Prompt

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