Duality Course
Gain mastery over linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then work through primal-dual models for practical planning and optimisation challenges. Perfect for mathematics experts seeking profound understanding and refined modelling expertise.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a straightforward journey from setting up linear programmes to grasping their dual forms. Learners will represent models using matrices, construct primal-dual pairs, and link dual variables to shadow prices. With practical examples, you will tackle small systems, confirm strong duality and complementary slackness, turning theoretical dual concepts into real-world problem-solving abilities.
Elevify advantages
Develop skills
- Model linear programmes in matrix format: swiftly derive A, b, c from constraints.
- Construct duals from primal problems: follow sign conventions and explain shadow prices.
- Apply dual spaces: view matrix A rows as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual linear programmes and check strong duality plus slackness.
- Convert duality theory into practical 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 workload.What our students say
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