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My calculus class is currently learning about the optimization of functions of multiple variables. At the end of lecture today, the professor gave us something to think about before the next lecture.
He said, "We're going to define a function H and call it Happiness. We want to maximize our happiness, which may seem difficult, but fortunately, our happiness is only influenced by three different variables.
"The first is beer." The lecture hall explodes in laughter.
"The second is gasoline." The lecture hall continues to laugh, but this time more in confusion as to how gasoline can bring us happiness.
"And finally, the third is rice." The lecture hall once again explodes in laughter; the professor has just finished telling us that as long as we have unlimited amounts of beer, gasoline, and rice, we can have an unlimited amount of happiness.
Unfortunately, we have a budget, represented by the dollar sign, which is why we have to optimize our happiness based off our personal desires of beer, gasoline, and rice.
"If you're thirsty but don't have a car, then a lot of gasoline will won't do anything for you, but beer will make you really happy. If you're really hungry, then the rice will make you happy."
I think that is one of the funniest real-world connections any of my math teachers have ever made before.
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there is legitimately a section in my calc textbook called "the calculus of rainbow." i laughed.
location: gilroy-ish? south san jose? taken from an airplaine
april 2010
Staff Sgt. Christina Hippenbecker, Maye Davis, Madelaine katz, Zack Fowler, Logan Herrera, Vipul Vachharajani hold up a Toy Drop poster in front of the the North Carolina School of Science and Math in Durham, NC on November 18, 2011. Students from NCSSM will be raising toys and supporting Toy Drop to help spread holiday cheer. (U.S. Army photo by Staff Sgt. Felix R. Fimbres)
Yes, I do use a ruler when I draw my graphs
fraction lines
data tables
shapes.
I'm actually rather horrid at math.
I think it's because I was born in the states.
my prof: shaves his head to hide his premature balding, wears socks in his sandals everyday (even in winter!), and asks us to call him "sid"
A photo from a morning spent at the IKEA... when we arrived to the kid's department I couldn't resist to take some stupid photo with the phone camera ! That's me solving some difficult calculus with the help of modern technology :)
Take the graph of y=1/x on the interval from 0.1 to 1 and rotate it about the y-axis. Find the volume of the solid generated by this rotation.
Last night, one of my first calculus students had his senior photography exhibit at Bradley University. As I left the exhibit, I noticed this building and was inspired to get out my camera. As I started to edit the photo this morning, I began to experiment and came up with ten iterations of the same photo that I hope each evoke a different response.
The lesson that I have learned from this...don't let the way that you look at something get in the way of seeing it.
Please take a moment to look at all ten variations.
Assemblage found object lamp made of a wooden bowl, rusty basketball hoop, two wire hanging flower pots, parchment paper, black number computer prints, and repurposed lamp light socket pole. October 2017
What is Limits in Calculus If we take the value of x=2, then f(2) = (2^2 -4)/ (2-2) so, f(2) = 4-4 / 0 f(2) = 0/0, which is a vague . To solve the above function we write, f(x)= (x^2 - 2^2) / (x-2) f(x) = (x+2) (x-2) / (x-2) cancelling x-2 from both numerator and denominator we get, f(x) = (x+2) only when x 2. In such situations, we consider the value of 'x' not exactly equal to 2 but near to 2. If value of x= 1.9, then f(x) = 3.9, which is slightly less than 4, if we start increasing the value of x towards 2, we find that we are approaching towards 4, but not exactly 4. Similarly, if we take the value of 'x' a little higher than 2 and not exactly 2, then the value of f(x) will be a little greater than 4. Thus, we say that lim f(x) = m, only when x-> a, f(x) -> m, which means that the value of f(x) approaches to m when x approaches to a. There are certain fundamental theorems on limits: 1. lim f(x) +g(x) = lim f(x) +lim g(x) x->a x->a x->a 2. lim f(x) - g(x) = lim f(x) - lim g(x) x->a x->a x->a 3. lim c. f(x) = c. lim f(x), where c is any constant value. 4.