You need this rule to find the derivative of x^2sin(x).
What is the product rule?
100
The famous Islamic mathematician Al-Khwarizmi is often cited as the greatest contributor to this area of mathematics.
What is Algebra?
100
He developed calculus during his plague-induced isolation in the 17th century.
Who is Isaac Newton?
100
This theorem relates the side lengths of a right triangle.
What is the Pythagorean Theorem?
100
1, 1, 2, 3, 5, x, 13, ...
What is 8?
200
The derivative of ln(x).
What is 1/x?
200
This area of mathematics is concerned with angles and their measures.
What is trigonometry?
200
He was arguably the most famous of all ancient greek Mathematicians, and leapt from his bathtub with joy at his discovery of the principle of buoyancy.
Who is Archimedes?
200
This theorem relates the operations of integration and differentiation in a 'fundamental' way.
What is the Fundamental Theorem of Calculus?
200
The solution of x^2 = -1.
What is i?
300
This is very helpful for finding the derivative of a composition of functions.
What is the product rule?
300
This field of mathematics deals with instantaneous rates of change.
What is calculus?
300
His series of books "The Elements" provided the foundations of geometry over 2000 years ago.
Who is Euclid?
300
Let n = 6. The number of integers relatively prime to 6 is 2. The fact that 35^2 is congruent to 1 modulo 6 is a consequence of this very famous theorem.
What is Euler's Theorem?
300
The largest even prime number.
What is 2?
400
This rule sometimes allows one to find limits of functions of the form f(x) / g(x).
What is L'Hopital's rule?
400
Students of this subject must contend with a number whose square is -1.
What is complex analysis?
400
This famous Mathematician was also an astronomer, and was condemned by the Catholic church for his theories of the heavens.
Who is Galileo?
400
This very famous theorem states that x^n + y^n = z^n has no nontrivial integer solutions for n greater than 2.
What is Fermat's Last Theorem?
400
x is the number of symmetries of an equilaterial triangle.
What is 6?
500
This is the name of a point on a surface for which f_xx is positive and f_yy is negative.
What is a saddle point?
500
This subject requires one to solve equations containing not only variables, but also functions and their derivatives.
What is differential equations?
500
This famous Greek mathematician and philosopher, born 384 bc, was the student of Plato and the teacher of Alexander the Great.
Who is Aristotle?
500
This theorem places an upper bound on the number of colors needed to make a map of any country.
What is the Four-Color Theorem?
500
A ruler and compass are not sufficient to subdivide an angle into x parts.