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Duality Course

Duality Course
flexible workload from 4 to 360h
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

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