Written by three gifted—and funny—teachers, provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also ...
Differential and Derivative are two intimately connected terms in calculus. The term derivative means the rate of change of one variable with respect to another one. Here, variables are the changing entities. the differential equation defines the relationship between the variables and derivatives. Rules...
The Pythagorean theorem was known long before the first proof, and it has been proven in many different ways. Some are algebraic, some are geometric, and there is also proof by using calculus. Proving the Pythagorean theorem with calculus First, let’s set up the proof. The first triangle ...
Modern calculators have much in common with computers: they share much of the samehistoryandwork in a similar way, but there's one crucial difference: a calculator is an entirely human-operated machine for processing math, whereas a computer can be programmed to operate itself and do a whole ...
In Calculus, instantaneous acceleration is the acceleration of an object at a specific moment in time. It’s the rate that the objectchangesit’s velocity. As an example, let’s say a car changes its velocity from one minute to the next—perhaps from 4 meters per second at t = 4 to ...
You measured distance and gasoline separately -- you didn't jump into the gas tank to get the rate on the go!In calculus, sometimes we want to think about the actual change, not the ratio. Working at the df level gives us room to think about how the function wiggles overall. We can...
they are true unlessA(x0)is true andB(x0)is false. This, unfortunately, makes them peculiar in relation to natural language. Moreover, distinctions between propositional conditionals, universal conditionals, and implications are not always clear. How do introduction-to-proof textbooks deal with th...
The Calculus of Violence: How Americans Fought the Civil War. By Aaron Sheehan‐Dean. (Cambridge, MA: Harvard University Press, 2018. Pp. 454. $35.00.)doi:10.1111/hisn.13142George C. RableUniversity of Alabama, EmeritusJohn Wiley & Sons, LtdHistorian...
How AP Calculus Algebra Changed My Life In my life, I have always been destined to do my best at whatever I put my mind too. I also have been so afraid of failing/ losing. Especially in academics. I know that this is the way life operates, but I personally cannot take it. This ye...
Nigel got an A in Calculus last semester. His 1st one in math in his life. Kudos to Jonathan! What a turn around. - Watch video testimonial Akhila LOVES math again - The big win is that Akhila said she loves math again! Caleb played a significant role in this! She is no longer ...