Wikipedia for Calculus

I've been learning some calculus using wikipedia. I wanted to know how the power rule rule was derived for example and the wikipedia entry on the power rule explains everything, but I didn't understand what the binomial theorem was. Luckily there was a link for the binomial theorem and the binomial coefficient.



One thing I love doing is using my web camera is to take pictures of specific places on the screen. I find using my web camera more efficient than using the print screen functions and doing all the editing. I took this picture with my web camera:

The triangle is created by line y = x and line y = -x + 2

I took this picture when someone was explaining how to get the area of a triangle with integration. Everyone should know that the area of a triangle is 1/2(base)(height) but how can you get the area of a triangle with integration? When you look at the graph the answer to the question becomes obvious. The sum of the definite integrations of both lines would give you the area of the triangle.

You can get the area of a circle by the integration of the formula for its circumference(2PIr) which is PIr²

Youtube For Calculus

I've been learning calculus on youtube. I took calculus for a whole year, but until tonight I always thought calculus was magic (and when a naturalist says something is magic...). I think one of the reasons I always thought of calculus as magic was because my professor never explained what everything was. I never once heard my professor say that the derivative of a function was the formula for the slope of the tangent line at any given point on the curve of the function. Not once do I remember him saying that! He explained the definition of the derivative without explaining how to find the definition of the derivative. Thanks to khanacademy on youtube, I finally know where the definition of the derivative is derived [ha ha ha] and what it's for. I know I can't just blame the professor. I could have done my part and read the textbook or looked up youtube videos during the year: the problem is the system. For the first quarter of the year, I was waking up at 5:00 AM for school, and according to recent research teenagers aren't meant to wake up so early. During the last three quarters I would wake up at 7:00AM, but that's still not enough.

Dr Paul Kelley, of Monkseaton High School in North Tyneside, said continuous early starts created "teenage zombies" in the classroom.