Misc.
This value represents the sum of the first five prime numbers
28
This ancient Greek mathematician wrote The Elements, the definitive book on geometry for over 2,000 years
Euclid
According to this rule, the derivative of xn is nxn-1
Power Rule
This constant, approximately 2.718, is the base of the natural logarithm and is its own derivative
e
This vector operation results in a scalar and is used to determine if two vectors are perpendicular
Dot Product
This value is, by definition, the smallest prime number
2
According to legend, this mathematician was inspired to formulate the theory of universal gravitation after watching an apple fall from a tree
Sir Isaac Newton
These occur where the derivative of a function is either zero or undefined.
Critical Points
This is found by taking the definite integral of the "top" function minus the "bottom" function over a specific interval
Area Between Curves
This type of derivative is taken with respect to one variable while holding all other variables constant
Partial Derivative
There are 10 black socks and 10 white socks(no left-right distinction) in the wardrobe. Your task is to draw the minimum number of socks at random to be sure you have a pair of a single color.
How many socks should you draw?
3
Who is credited with the sequence:
1,1,2,3,5,8,13,...
Fibonacci
This rule allows you to evaluate limits of the form 0/0 or INFINITY/INFINITY by taking the derivative of the numerator and denominator.
L’Hôpital’s Rule
This integration technique is essentially the "Product Rule" in reverse, often remembered by the formula ∫u dv = uv - ∫vdu
Integration by Parts
This is a vector that has a magnitude of 1 and is perpendicular to a surface at a given point
Unit Normal Vector
Natural objects, such as ferns, often exhibit these patterns of similar structures at smaller and larger scales
Fractals
This famous German mathematician has a rival claim to Sir Issac Newton as the inventor of calculus
Gottfried Wilhelm Leibniz
This theorem states that for a smooth curve between two points, there is at least one point where the tangent is parallel to the secant line through the endpoints
Mean Value Theorem
This is an infinite sum of terms expressed in terms of the function's derivatives at a single point
Taylor Series
This vector points in the direction of the steepest ascent on a surface
Gradient
On the fabled Island of Knights and Knaves, we meet three people, A, B, and C, one of whom is a knight, one a knave, and one a spy. The knight always tells the truth, the knave always lies, and the spy can either lie or tell the truth.
A says: "C is a knave."
B says: "A is a knight."
C says: "I am the spy."
Who is the knight, who the knave, and who the spy?
A - Knight
B - Spy
C - Knave
This "Prince of Mathematicians" supposedly shocked his teacher by summing the numbers 1 to 100 in seconds as a child
Carl Friedrich Gauss
This method is used to find the derivative of a dependent variable 'y' when it cannot be easily isolated from the independent variable 'x'
Implicit Differentiation
This specific series, the sum of 1/n , is famous for being the simplest example of a series that diverges to infinity even though its individual terms approach zero
Harmonic Series
This method uses a specific multiplier to find the local maxima and minima of a function subject to equality constraints
Lagrange Multipliers