Hi Professor, in problem 8 (1), the scalar product is an integral from 0 to inf. It may make the scalar product infinitely large, so should inf be changed to some constant?
Could you please post the answer to the mock final?

Hi Professor! In Problem6(3) are we going to find another solution to f(x)=0 as the first question or we have to solve the optimization problem that f(x)->min?

Hi professor, what sort of work is one expected to complete for problem 7? I understand how the interior point method works, and I know that the central path is found by iteratively increasing the value of t and then finding the new x*(t) using Newton’s method. But running this algorithm by hand without a calculator seems like it could take too long during the exam; is there some shortcut to sketching the path? Should we just “guess” the way the path will look?

Problem 3 states (1,1,1) being a critical point, but (1,1,1) is not in X. Is there a error in the problem?

Yes, – corrected. Thank you!

Hi Professor, in problem 8 (1), the scalar product is an integral from 0 to inf. It may make the scalar product infinitely large, so should inf be changed to some constant?

Could you please post the answer to the mock final?

Yes another misprint – thank you, corrected.

Hi, professor, what is the policy for the final? Still open everything?

Open book and notes.

Hi Professor! In Problem6(3) are we going to find another solution to f(x)=0 as the first question or we have to solve the optimization problem that f(x)->min?

It is a different function you find a zero of.

Hi professor, what sort of work is one expected to complete for problem 7? I understand how the interior point method works, and I know that the central path is found by iteratively increasing the value of t and then finding the new x*(t) using Newton’s method. But running this algorithm by hand without a calculator seems like it could take too long during the exam; is there some shortcut to sketching the path? Should we just “guess” the way the path will look?

You can describe the central path without iteratively finding points on it.

Hi, professor, will solutions be posted before the final tomorrow?

No.

For problem 3, when you set the gradient of f to 0 you get that y = 0, z = 0, so isn’t there no a such that (1,1,1) is a critical point?

It is a constrained optimization problem.

Hi professor. Are calculators allowed for the exam?

Yeah. Not really needed, though.