Duality Course
Build expertise in 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 greater understanding and refined modelling abilities.

from 4 to 360h flexible workload
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. Learners will represent models using matrices, construct primal-dual pairs, and link dual variables to shadow prices. With practical examples, you will tackle small problems, confirm strong duality and complementary slackness, and turn dual theory 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 matrix rows as linear functions and pricing tools.
- Hand-solve compact 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 workloadWhat our students say
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