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. Ca
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 focus is on how to make and interpret these intervals. With a calculus based statistics approach, functions are derived for these intervals. In a non-calc class, you might study the survival function for a certain species. In a calculus based course, you might take that same survival ...
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 ...
Photo: My newer Casio Calculator, an fx-991ES, has a much larger "natural display" that can show entire equations and even perform calculus! The larger dark gray keys at the bottom are the numbers and the main "operators" (+, −, ×, ÷, = etc). The lighter gray keys above them...
The goal is to really grok the notion of "combining perspectives". This installment covers addition, multiplication, powers and the chain rule. Onward! Functions: Anything, Anything But Graphs The default calculus explanation writes $f(x) = x^2$ and shoves a graph in your face. Does this ...
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...
Lucia Rahilly:Generative AI has massive implications for energy usage and for the electricity necessary to power data storage. How do we see generative AI affecting the calculus for net zero? Humayun Tai:We’re in the early stages. We see mining companies that are doing very interesting pilots...
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...
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...