I was cleaning out my desk and came across an old(2011) final exam from one of my upper level math exams.

Most people only get exposure to math that involves solving equations and stuff but higher level(still undergrad stuff mind you) get more into theory and abstract concepts.

As this was a prereq for the cryptography course and deals with some of the basic concepts used/abused by modern crypto I figure some of you might be interested in seeing what you'll be dealing with if you get into this level of math.

EDIT: For the uninitiated, some characters that you might not know:

The pipe character '|' is used to denote that the first number evenly divides the second number. As in: a|b means a/b is an integer(no decimals).

That little swirl that almost looks like a 'p' is called phi (like sophie without the so) and it refers to Euler's totient function (https://en.wikipedia.org/wiki/Euler's_totient_function) and it is a major part of how RSA works.

The three line equals is for congruency (https://en.wikipedia.org/wiki/Congruence_relation)

The doublestruck Z character refers to the set of all integers, the specific usage is Z/nZ which refers to a Quotient ring (https://en.wikipedia.org/wiki/Quotient_ring)

I don't think there are any other odd characters in there.

Most people only get exposure to math that involves solving equations and stuff but higher level(still undergrad stuff mind you) get more into theory and abstract concepts.

As this was a prereq for the cryptography course and deals with some of the basic concepts used/abused by modern crypto I figure some of you might be interested in seeing what you'll be dealing with if you get into this level of math.

EDIT: For the uninitiated, some characters that you might not know:

The pipe character '|' is used to denote that the first number evenly divides the second number. As in: a|b means a/b is an integer(no decimals).

That little swirl that almost looks like a 'p' is called phi (like sophie without the so) and it refers to Euler's totient function (https://en.wikipedia.org/wiki/Euler's_totient_function) and it is a major part of how RSA works.

The three line equals is for congruency (https://en.wikipedia.org/wiki/Congruence_relation)

The doublestruck Z character refers to the set of all integers, the specific usage is Z/nZ which refers to a Quotient ring (https://en.wikipedia.org/wiki/Quotient_ring)

I don't think there are any other odd characters in there.