# mock final

Here. (Disregard the points for the problems.)final_mock

### 16 Responses to mock final

1. Tianyi May 5, 2016 at 2:23 pm #

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?

• yuliy May 5, 2016 at 2:51 pm #

Yes, – corrected. Thank you!

2. Anonymous May 6, 2016 at 9:35 am #

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?

• yuliy May 6, 2016 at 10:06 am #

Yes another misprint – thank you, corrected.

3. Anonymous May 7, 2016 at 4:50 pm #

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

• yuliy May 7, 2016 at 11:18 pm #

Open book and notes.

4. Zhongyuan Fang May 8, 2016 at 1:33 am #

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?

• yuliy May 8, 2016 at 9:41 pm #

It is a different function you find a zero of.

5. Colin May 8, 2016 at 10:41 am #

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?

• yuliy May 8, 2016 at 9:40 pm #

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

6. Anonymous May 8, 2016 at 1:54 pm #

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

• yuliy May 8, 2016 at 9:39 pm #

No.

7. Anonymous May 8, 2016 at 4:59 pm #

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?

• yuliy May 8, 2016 at 9:39 pm #

It is a constrained optimization problem.

8. Anonymous May 8, 2016 at 7:12 pm #

Hi professor. Are calculators allowed for the exam?

• yuliy May 8, 2016 at 9:16 pm #

Yeah. Not really needed, though.