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Duality Course

Duality Course
4 to 360 hours of 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 Differentials

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

Your classes are perfect. I purchased the one-year package and finally have the chance to follow several topics I'm interested in without having to switch platforms... thank you for everything you do, I've already recommended you to others...
Giulio Carlo
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 Ferres
Mariana FerresPhotography Student
I like the content and the way the videos are presented and transcribed, which speeds up the process!
Luciana Alvarenga
Luciana AlvarengaNail Design Student
The platform is fast and easy to use. The variety of content and the supplementary videos really help with learning.
Giulio Carlo
Giulio CarloPrompt Engineering Student

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