This course is offered to UG and PG students of Engineering/Science background. It contains methods to solve nonlinear optimization problems which includes convex programming, KKT optimality conditions, quadratic programming problems, separable methods, geometric and dynamic programming. It also covers some search techniques which are used to solve nonlinear programming problems. It plays a vital role in solving various engineering and science problems.
Important For Certification/Credit Transfer:
Weekly Assignments and Discussion Forum can be accessed ONLY by enrolling here
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All content including discussion forum and assignments, is free
Final Exam (in-person, invigilated, currently conducted in India) is mandatory for Certification and has INR Rs. 1100 as exam fee.
Intended audience
It is a core course for UG/PG students of technical universities/colleges. Pre-requisites
Not Required Industries that will recognize this course
Nil
1146 students have enrolled already!!
Course Instructor
Dr.S.K.Gupta is an Associate Professor in the Department of Mathematics, IIT Roorkee. His area of expertise includes Nonlinear and Fuzzy optimization. He has guided three PhD theses and has published more than 40 papers in various international journals of repute. He has also developed a NPTEL online certification course on “Mathematical methods and its applications” (jointly with Prof. P. N. Agrawal).
Course Plan
Week 1
Convex Sets and Functions Properties of Convex Functions-I Properties of Convex Functions-II Properties of Convex Functions-III Convex Programming Problems
1. Taha H. A., "Operations Research: An Introduction", MacMillan Pub Co., NY, 9th Edition (Reprint) (2013). 2. Ravindran A, Phillips D. T., Solberg J. J., "Operations Research: Principles and Practice", John Wiley and Sons, NY, Second Edition (Reprint) (2012) 3. Bazaraa, M., Sherali, H. D. and Shetty, C. M., "Nonlinear Programming: Theory and Algorithms", Wiley-Interscience; 3rd Ed. (2006) 4. Himmelblau, D. M., "Applied Nonlinear Prograaming", Mcgraw-Hill (1972)
CERTIFICATION EXAM :
The exam is optional for a fee.
Date of Exams : October 28 (Sunday)
Time of Exams : Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm
Exam for this course will be available in both morning & afternoon sessions.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.
CERTIFICATION:
Final score will be calculated as : 25% assignment score + 75% final exam score
25% assignment score is calculated as 25% of average of Best 3 out of 4 assignments
E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Roorkee.It will be e-verifiable at nptel.ac.in/noc.