Duality Course
Build strong skills in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then work through primal-dual models for practical optimisation and planning challenges. Perfect for maths experts seeking better understanding and improved modelling abilities.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course offers a straightforward guide from setting up linear programmes to grasping their dual forms fully. You'll represent models using matrices, create primal-dual pairs, and link dual variables to shadow prices. With practical examples, you'll tackle small problems, confirm strong duality and complementary slackness, turning theoretical dual concepts into real-world solving skills.
Elevify advantages
Develop skills
- Model linear programmes in matrix format: swiftly pull out A, b, c from constraints.
- Construct duals from primal problems: follow sign patterns and explain shadow prices.
- Apply dual spaces: view A's rows as linear functions and pricing tools.
- Hand-solve compact primal-dual linear programmes and check strong duality plus slackness.
- Convert duality theory into insights for production planning in n-dimensional space.
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 workloadWhat our students say
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