Numerical Analysis Questions & Answers  


You can find the exact value by using a very large $N$. So, just double $N$ until the value of the integral doesn't change significantly anymore and use this as the exact value. 2 points bonus.




No, there is no work done when doing the pivoting operation because there is no addition or multiplication. This was mentioned above for a similar question.




That's for you to find out. Check if you obtain reasonable convergence rates using your approach when $N$ is small (i.e. as you would expect for the Simpson rule) and if so, it means it's fine.




Hm, didn't I mention this in class..? It's a good observation, but not a question.




I'll check again your quiz to be sure. The problem in your case is that you used the Simpson rule to get $I_i$: you shouldn't do this here hence why you got 2/3.




Good question. You should implement the algorithm so that dt is changed at the final step in order to yield t=tmax after the iterative process. 2 points bonus.



$\pi$ 