Duality Course
Gain mastery in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then tackle primal-dual models for practical planning and optimisation challenges. Perfect for maths experts seeking deeper understanding and better modelling skills in optimisation.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a straightforward guide from setting up linear programmes to understanding their dual forms completely. You will represent models using matrices, create primal-dual pairs, and link dual variables to shadow prices. With practical examples, you solve simple systems, confirm strong duality and complementary slackness, and turn dual theory into real-world problem-solving abilities.
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 mechanisms.
- Hand-solve small primal-dual linear programmes and check strong duality plus slackness.
- Convert duality concepts into insights for production planning in n-dimensional space.
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.What our students say
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