Total Score: $53/60=88$ *Things I got wrong:* - Question 1.a - simple math mistake, 2 * 2 is 4 not 2 - Question 1.c - got it right but $x^{3}-2x+2$ does not have a root of [[Multiplicity]] - Question 2.c - You cant cancel $4\hat{x}_{2}^{2}$ because it would lead the whole expression to be zero, algebra hell but I only lost $2$ points - Question 4 - Local Maxima/Minima should be Maximum / Minimum - 4.a - '$\gamma$ being higher leads to lower precision' - unclear what *precision* means in this context, should specify more that it will 'orbit' the target and not converge very well - A note from [[Alexander Young|Young]] during review: *You don't need to decrease $\gamma$ as you aproach extrema point, as $f'$ will be decreasing as well* - Question 6.a - Got of easy, $x_{i},x_{i+1}$ were not menteiond I just put $x$, but he seems to have gotten what I was saying - Question 8.b - 'When does this method return a result', I put just 'root of $f, when I should've explicitly stated the exit condition, $x_{1}-x_{2} < \d x$. - Question 9.b - The iteration for [[Hessian Optimization]] will converge to a local minima *or* maxima