In a triangle with sides a, b and c ....c^2 = a^2 + b^2 - 2abCos C

If a real-valued function f is differentiable at the point a then it has a linear approximation at the point a.

Tim the tool man.....

x^n + y^n = z^n has no non-zero integer solutions for x, y and z when n > 2

Every non-constant single-variable polynomial with complex coefficients has at least one complex root.

Every integer greater than 1 is either prime itself or is the product of prime numbers.

If a polynomial f(x) is divided by (x-a) then the remainder is f(a).

The quadratic equation ax^2 + bx + c = 0 is solved by solved by the two, possibly equal solutions x = [-b +-sqrt(b^2 -ac)]/2a

If f is continuous on the interval [a,b] and F(x) is a function for which dF/dx = f(x) in that interval then the integral from a to b of f(x) dx = F(b) - F(a)

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