Linear Programming (LPP) Foundations for GATE Prep

Succeeding in competitive exams requires a rock-solid grasp of optimization fundamentals and the ability to solve numerical problems quickly and accurately. This text-based course guides you through the mathematical foundations of Linear Programming Problems (LPP), taking you from basic definitions to advanced exam-style problem-solving techniques. You will learn how to approach both objective and subjective questions with speed and precision. What you'll learn: - Formulate real-world optimization scenarios into mathematical linear programming models. - Solve two-variable LPPs using graphical methods and identify key feasibility regions. - Apply the Simplex method and understand slack, surplus, and artificial variables. - Analyze duality theory and perform sensitivity analysis on optimal solutions. - Practice solving a wide range of numerical questions typical of competitive exams. - Understand degenerate, unbounded, and infeasible solutions and how to identify them. The course starts with basic terminology, foundational definitions, and graphical approaches before moving into algebraic methods, duality, and modern sensitivity analysis. You will work through structured written derivations and detailed numerical walkthroughs designed to build exam-room confidence. This course is designed for engineering and mathematics students preparing for competitive exams like GATE, as well as beginners looking for a structured introduction to mathematical optimization. No prior advanced optimization knowledge is required. Start mastering linear programming step-by-step today.