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Optimization from fundamentals

By Prof. Ankur A. Kulkarni   |   IIT Bombay
Learners enrolled: 424   |  Exam registration: 15
ABOUT THE COURSE : This course will cover the topic of Optimization from its fundamentals. It will start with an overview of real analysis and convexity. With this base it will cover linear programming, convex optimization and nonlinear programming, complementarity problems and algorithms for the same. We will end with dynamic optimization.

INTENDED AUDIENCE
Mathematics, any engineering and science discipline
Summary
Course Status : Upcoming
Course Type : Core
Language for course content : English
Duration : 12 weeks
Category :
  • Mechanical Engineering
  • Computational Engineering
  • Computational Mechanics
  • Computational Thermo Fluids
Credit Points : 3
Level : Postgraduate
Start Date : 20 Jan 2025
End Date : 11 Apr 2025
Enrollment Ends : 27 Jan 2025
Exam Registration Ends : 14 Feb 2025
Exam Date : 04 May 2025 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.


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Course layout

Week 1: Introduction to optimization and overview of real analysis
Week 2: Optimization over open sets
Week 3: Optimization over surface
Week 4: Transformation of optimization problems and convex analysis
Week 5: Introduction to linear programming
Week 6: Linear programming and duality
Week 7: Linear programming and duality
Week 8: Nonlinear and convex optimization
Week 9: Nonlinear and convex optimization
Week 10: Algorithms
Week 11: Algorithms
Week 12: Dynamic optimization

Instructor bio

Prof. Ankur A. Kulkarni

IIT Bombay
Prof.Ankur A. Kulkarni is an Associate Professor and the Kelkar Family Chair in Quantitative Finance at the Indian Institute of Technology Bombay (IITB). He is a systems theorist with an interest in decision making in distributed, decentralised and strategic environments, with informational complexities, which he investigates using the lens of game theory, information theory, control theory, machine learning, and mathematical optimization. His current focus is on strategic inference, stealth, privacy, information elicitation and nudging. He has published 30 papers in international journals and more than 30 papers in international conferences. He has been a consultant to the Securities and Exchange Board of India wherein he was solely responsible for suggesting regulatory interventions for high frequency algorithmic trading. He presently serves on the IT-Project Advisory Board of SEBI and is responsible for advising SEBI on utilizing advanced technologies such as AI/ML and data analytics and guiding data-related policies for internal use and public use. He is also an advisor to the Tata Consultancy Services and on the technical advisory committee of Maha-IT, a Govt of Maharashtra enterprise. He was previously a consultant to HDFC Life Insurance Company wherein he tackled the problem of design of incentives for sales agents; to Kotak Mahindra Bank Limited on anti-money laundering and anomaly detection, and to Bank of Baroda on smart cash management. He received his B.Tech. from IITB in 2006, followed by M.S. in 2008 and Ph.D. in 2010, both from the University of Illinois at Urbana-Champaign (UIUC). He was an Associate (from 2015--2018) of the Indian Academy of Sciences, Bangalore (a honour reserved for only 100 scientists under the age of 35 across all fields), he has been an editor for several conferences, a recipient of the INSPIRE Faculty Award of the Department of Science and Technology, Government of India, 2013, and of several Best Paper awards and the Excellence in Teaching Award at IIT Bombay. He has been a visitor to MIT in the USA, University of Cambridge in UK, NUS in Singapore, University of Paris, IISc in Bangalore and KTH in Sweden.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: May 4, 2025 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
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. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

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 Bombay .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team


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