Simplex Algorithm: Initial Tableau, Simple Case

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Discrete Optimization: Relaxation

Explores solving discrete optimization problems by relaxing integrality constraints.

Linear Programming Basics

Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.

Linear Programming: Extreme Points

Explores extreme points in linear programming and the role of constraints in finding optimal solutions.

Two-phase Simplex Algorithm: Introduction and Duality

Introduces the two-phase simplex algorithm and explores duality in linear programming.

Optimization Problems: Path Finding and Portfolio Allocation

Covers optimization problems in path finding and portfolio allocation.

Linear constraints: Basic directions

Explores feasible directions in linear constraints and the conditions for feasibility.

Mixing Space I

Explores mixing space, ternary diagrams, greenhouse optimization, and solution scenarios.

Simplex Method: Phase 2

Delves into the second phase of the simplex method, emphasizing matrix operations for solving optimization problems with constraints.

Simplex Algorithm

Covers the Simplex algorithm for function minimization with linear constraints.

Linear Algebra: Organization and Exercises

Covers the organization of linear algebra course and exercises for civil engineering and environmental sciences students.