Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256 Variational Methods and Structural Optimization Jan.-May., 2017
Instructor: G. K. Ananthasuresh , Room 106, ME Building, suresh at mecheng.iisc.ernet.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM; Venue: ME MMCR

Homework #3
Assigned: Feb. 2nd, 2017
Due: Feb. 9th, 2017
Points: 30
Additional points for work that is beyond instructor's expectation!
Look up Homework #1 of 2010 offering of this course and the solution posted there to know what is meant by "beyond instructor's expectation".

1. 15 points
   Make up three questions based on the contents of Lectures 7-10 in the following format.
   Assertion: In structural optimization problems, the function space we consider must be a Banach space.
   Reasoning: All sequences in a Banach space converge.
   Choose the correct alternative among the following:
   A. The statements in assertion and reasoning are correct and the assertion follows from the reasoning.
   B. The statements in assertion and reasoning are correct but the assertion does not follow from the reasoning.
   C. The statement in the assertion is correct but not that in the reasoning.
   D. The statment in the assertion is incorrect but that in the reasoning is correct.
   Provide your answers to your questions when you submit.
2. 15 points
   Pose three questions of True/False type from the materail covered in lectures 7-10. An example is given:
   Gateaux variation in calculus of variations is equivalent to directional derivative of a multi-variable function. (True/Fale)
   Provide your answers to your questions when you submit.