Duality Course
Build expertise in linear programming duality starting from basics. Link linear algebra concepts, dual spaces, and shadow prices while working through primal-dual problems for optimization and planning tasks. Perfect for mathematics experts seeking advanced understanding and improved modeling techniques in practical scenarios.

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 programs to understanding their dual forms. Learners will represent problems using matrices, create 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 abilities.
Elevify advantages
Develop skills
- Model linear programs in matrix notation by pulling out A, b, c from constraints swiftly.
- Construct dual programs from primal ones using sign conventions and explain shadow prices clearly.
- Apply dual space ideas viewing matrix rows as linear functions and pricing mechanisms.
- Hand-solve compact primal-dual linear programs and check strong duality plus slackness conditions.
- Convert duality concepts into useful insights for production planning across n-dimensional spaces.
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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