revelation

i can actually teach related rates coherently!

not that i didn't think i couldn't teach them, but....

related rates are what my students are doing in calc this week...
for example: like a car heads north at this speed, and a truck heads east at this speed, after 3 hours, how fast is the distance between them changing?

that and differentials and error analysis
for example: i'm calculating the volume of a sphere and i measured that the radius is 2 inches. if i could have been off by .1 inch when i measured the radius, what percent will my volume be off?

these are seriously 2 of the hardest sections in the book, and once we get past them, it's pretty intuitive how to teach it. i can do the problems, but to explain them clearly... oi...

AND i'm being observed by the TA training director tomorrow, so it'll be entertaining.

BUT one of my students met with me an hour ago for extra help and it went brilliantly... light bulbs were turning on left and right,... i was pretty happy by the end of our visit.

i CAN teach related rates, and this makes me feel good.

combo lecture time... later dudes.