Timeline for 2nd Year Mathematics (Europe), my Uni results are declining. How do I improve higher level mathematics problem solving abilities?
Current License: CC BY-SA 4.0
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| Jul 19, 2022 at 5:56 | comment | added | Dave L Renfro | For the quotient rule, until I taught calculus and finally internalized it, I used to pick between fg' - f'g and f'g - fg' in the numerator (this was the detail I kept forgetting) by checking with the derivative of 1/x = x^(-1) (easy power rule; I did this check so much that I would immediately know it was f'g - fg' so as to get the negative sign from f' = 0). In the case of one Putnam exam problem I solved (during the test), I needed the sum formulas for consecutive squares and consecutive cubes. Knowing they were cubic/quartic polynomials, I used polynomial curve fitting to find them. | |
| Jul 18, 2022 at 23:06 | history | answered | Ben | CC BY-SA 4.0 |