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Quiz 1 has been corrected. I took away 0.5 points for not indicating your answers clearly (with a box). I took away 0.5 points if you didn't take into account the denormal range. I took away 1 point if you didn't iterate the two conditions (it's not possible to find the answer directly for this problem: you must do iterations).
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Quiz 2 has been corrected. I took away 0.5 points if you didn't solve (a) by hand (one iteration at a time) but just found analytically the number of iterations. I took away 2 points if you didn't solve part (b). I took away 1 point if you didn't check carefully within the computer program whether there is more than 1 root within the interval. Another coding mistake that you made that I didn't take away points for this time (but I will in the midterm) is when you call f() too many times within the loop: this is not efficient. You should write the code efficiently so that f() is called as few times as possible.
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Quiz 3 is corrected. For A3Q4a, I took away 0.5-1 point if the explanation is not so clear, and 2-3 points if it is not detailed enough. For A3Q3b, I took away points if you didn't code the algorithm in a computationally efficient manner. There is no need here to add values to the L or U matrices.
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Quiz 4 is corrected. I took away most points if you didn't setup the $A$ matrix using approximate partial derivatives as required by the secant method. I took away a half point or a full point if you didn't calculate correctly the first $A$ matrix or the update to the root guess. Note that I didn't take away any points if you didn't do the second iteration (the second Gaussian elimination). But I expect you to do 2 full iterations if this question is asked during the final exam.
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Quiz 5 is corrected. I took away 0.5 point if your explanation is not clear enough. I took away more if there's something wrong with your logic.
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The midterm exam has been corrected. Check that the scores for each question have been entered in the spreadsheet correctly.
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Quiz 6 has been corrected. I took away 0.5-1 point if you didn't explain fully the right boundary condition (when asked to derive, you need to explain every step in as much detail as possible).
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Quiz 7 has been corrected. I took away 1 point if you didn't find the correct polynomial coefficients. I took away 1 point if you didn't integrate properly $I_i$ from the polynomial (you shouldn't be using Taylor series).
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I started correcting the final exam today. For each question, there are 25 points allotted. I finished Q1 and Q2. For Q1, I gave 5 points for each right answer. If you got all answers wrong but such was due to one small mistake that affected all 5 answers, then I took away only 5 points. For Q2, I took away 3 points if you didn't correctly outline how the boundary conditions were derived but still got the right final answer (this happened to many of you: you have to be careful to explain correctly each boundary condition on the left and right of the spline, and not regroup them together). I took away further points if there were more problems with the logic.
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I finished correcting Q3. I took away 5 points if you performed the inversion of a non $M$ or non $P$ matrix in order to find $L$: this is very computationally expensive and is missing the point. I also took away 2 points if you simply stated (without proof) that $(P_{34}M_1M_2P_{34})^{-1}=P_{34}M_1^{-1}M_2^{-1}P_{34}$. You need to prove this.
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Q4 has been corrected. Part (a) was very similar to a problem in the 2018 midterm exam but only 5 of you wrote something reasonable here.. If you wrote something reasonable, you were given 15 points. For part (b), I gave up to 10 points for a good quality code independently of whether you got part (a) correct or not.
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Q5 has been corrected. I gave 10 points for a correct answer for part (a) and 15 points for part (b).
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Q6 has been corrected. There were 2 ways of finding the answer: you could either use the formula in the reminder or do it starting from the definition of the least mean square error.
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The grades have been assigned. You did much better on the final than on the midterm, and this resulted in more As. I'm very happy with your performance this year — no one got a F or D, and half got A. Great, keep studying this way. Happy new year!
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