Newton’s secret fountain, the thing that lets millions of high school students grind away on their calculus integral problems
What is the fundamental theorem of calculus?
The College that Newton Attended and it's location
What is Trinity College in Cambridge?
This function is missing from the backward problem
What is speed or velocity?
This person discovered that, with uniform acceleration, distance is proportional to the square of time?
Who is Gallileo?
Who are the scholars of the Middle Ages?
The person associated with Valentine's Day
Who is St. Valentine?
The name of Newton’s strategy of finding the areas under curves
What is the method of power series?
What Newton christened his new mathematics
What are fluxions?
The historic way of solving the area problem, as Archimedes did
What is smashing or slicing area in strips or shards and reassemble or weigh them
Strogatz considers Newton a “mathematical mash-up artist because...
What is approaching Greek area problems in geometry with a blend of principles from around the world ( Infinity Principle, Indian decimals, Islamic algebra, French analytic geometry)
The most popular day for proposal
What is Valentines day?
The way Newton was able to realize the fundamental theorem of calculus by thinking of area as
What is Flowing, expanding, a moving quantity, not frozen
The way that both Newton and Leibniz die in
What are calculi (bladder stone, kidney stone)?
Newton’s and Leibniz’s theorems solved the area problem by
What is connecting areas to slopes and thus integrals to derivatives?
The Latin root of Calculus and it's meaning
What is calx and stone?
Two of the most popular Valentine's Day chocolate brands
What is hersheys/godiva/ghiradelli/see's?
The first two terms in Newton’s power series that expresses the area of a circular segment
(don't have to answer as a question)
A(x) = x - ⅙x3…
Two applications/importance of being able to find the area under the arbitrary curve
Hint: Each statement has two parts to it (relations of __ and ___)
What is the fluctuating inflow to a bank account and the accumulated balance in it?
What is the growth rate of the world's population and the net number of people on earth?
What is the changing concentration of a chemotherapy drug in a patient's blood and the accumulated exposure to that drug over time?
Newton’s second and third “creative move” when it came to deriving his power series
(don't have to answer as a question)
2nd: sidestepping the problem, 3rd: guessing the answer
One reason logarithms excited Newton
What is speeding up calculations enormously OR they were relevant to a controversial problem in music theory he was working on?
How conversation hearts started off as
What are medical lozenges?
One of the four listed sins Isaac Newton committed before the age of nineteen
What are “Threatening my father and mother Smith to burne them and the house over them” OR “wishing death and hoping it to some” OR “striking many” OR “having uncleane thoughts words and actions and dreamese”
Two equations written out in Newton's college notebook under the equations expressing the nature of ye lines
(don't have to answer as a question)
3xx = ay
4x^2 = aay
5x^4 = 4a^3
6x^5 = 4a^4
7x^6 = 4a^5
How Strogatz's teacher explained the area accumulation function
What is a grey paint roller moving to the right and painting the region under the curve?
This political philosopher and second-rate mathematician blasted Wallis’s Arithmetica Infinitorum as a “scab of symbols” and a “scurvy book”
Who is Thomas Hobbes?
What XOXO means
What is a cross and a kiss?