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Duality Course

Duality Course
flexible workload from 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. 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 skills.

Elevify advantages

Develop skills

  • Model linear programmes in matrix form: 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 small primal-dual linear programmes and check strong duality plus slackness.
  • Convert duality theory into insights for production planning in R^n.

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.
Workload: between 4 and 360 hours

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