Duality Course
Master LP duality from the ground up. Connect linear algebra, dual spaces, and shadow prices, then solve primal–dual models for real planning and optimization problems. Ideal for math professionals who want deeper insight and sharper modeling skills.

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 the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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