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Participants join this course to build strong problem-solving skills needed in engineering, economics, and data-driven fields. It helps learners understand how to make the best decisions under limitations using clear and practical methods

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Course content

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Optimal Control

25 Lectures

1425 min

Introduction to Optimization
Preview
55 min
Introduction to Optimization (Contd.)
57 min
Optimality Conditions for function of several variables
57 min
Optimality Conditions for function of several variables (Contd.)
57 min
Unconstrained optimization problem (Numerical Techniques)
58 min
Solution of unconstarined optimization problem using conjugate gradient method
58 min
Solution of unconstarined optimization problem using conjugate gradient method.
57 min
Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions
57 min
Solution of contraint optimization problems - karush - kuhn Tucker (KKT)
59 min
Problem Solution Session
56 min
Post optimality analysis, convex function and its properties
56 min
Post optimality analysis, convex function and its properties (Contd.)
57 min
Quadratic optimization problem using Linear Programming
58 min
Matrix form of the Simplex Method
56 min
Matrix form of the Simplex Method (Contd.)
55 min
Solution of Linear Programming using Simplex Method - Algebraic Approach
57 min
Solution of Linear Programming using Simplex Method - Algebraic Approach (Contd.)
57 min
Solution of LP problems with Two - Phase Method
57 min
Solution of LP problems with Two - Phase Method (Contd.)
59 min
Standard Primal and Dual problems
55 min
Relationship between Primal and Dual Variables
58 min
Solution of Quadratic Programming problem using Simplex Method
57 min
Interior point method for solving optimization problems
55 min
Interior point method for solving optimization problems (Contd.)
58 min
Solution Non linear Programming Problem using Exterior Penalty Function Method
59 min

Course details

This course introduces the idea of optimization in a clear and easy way, focusing on how to find the best possible solution to a problem under given conditions. You will first understand what optimization means and why it is important in engineering, science, and real-life decision making. The course explains different types of optimization problems using simple examples. You will learn how to represent problems using mathematical functions and constraints. Static optimization is covered to show how optimal solutions are found at a single point in time. Dynamic optimization is then introduced to handle problems that change over time. The course gradually builds your ability to analyze and solve optimization problems step by step. Emphasis is placed on understanding concepts rather than memorizing formulas. Standard textbooks are used to support learning and provide practice problems. By the end, you will be confident in formulating and solving basic optimization problems.

Source: nptelhrd [Youtube Channel]

Course suitable for

Automotive
Electrical
Engineering & Design
Project Management
Research & Developmnet

Key topics covered

Introduction to Optimization
Introduction to Optimization (Contd.)
Optimality Conditions for function of several variables
Optimality Conditions for function of several variables (Contd.)
Unconstrained optimization problem (Numerical Techniques)
Solution of unconstarined optimization problem using conjugate gradient method
Solution of unconstarined optimization problem using conjugate gradient method.
Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions
Solution of contraint optimization problems - karush - kuhn Tucker (KKT)
Problem Solution Session
Post optimality analysis, convex function and its properties
Post optimality analysis, convex function and its properties (Contd.)
Quadratic optimization problem using Linear Programming
Matrix form of the Simplex Method
Matrix form of the Simplex Method (Contd.)
Solution of Linear Programming using Simplex Method - Algebraic Approach
Solution of Linear Programming using Simplex Method - Algebraic Approach (Contd.)
Solution of LP problems with Two - Phase Method
Solution of LP problems with Two - Phase Method (Contd.)
Standard Primal and Dual problems
Relationship between Primal and Dual Variables
Solution of Quadratic Programming problem using Simplex Method
Interior point method for solving optimization problems
Interior point method for solving optimization problems (Contd.)
Solution Non linear Programming Problem using Exterior Penalty Function Method

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