N = Counting Numbers not 0. Z = Integers. Q = rational numbers (m/n where m and n are Z). R = Rational and Irrational.
A set is a collection of unique objects. A particular set is defined exactly by its members. Empty Set = 0 with / through it.
Let A and B be sets. We say A and B are equal when every element of A is an element of B and every element of B is an
element of A. When A and B are equal we write A = B.
Proofs:
Let A and B be sets. The Cartesian product of A and B is the set of all possible ordered pairs we can build using elements of
A as the first element and elements of B as the second element. We denote the Cartesian product of A and B as A * B. That
is A * B = {(a, b) | a E A, b E B}
Proofs: To conclude that A is a
subset of C , we need to conclude
that every element of A is an
element of C .
z^n = r^n*e^(i*n*theta)
FUNCTIONS
COMPLEX
e^(ipi) = -1, e^(ipi/2) = i
VECTORS
CALCULUS
INTEGRATION
Sometimes complete the square of the denominator then
substitute for arctan!
DIFFERENTIAL EQUATIONS
Constant Solutions:
Newton ^^^^
Tree Growth
<- Bottom one
logistic