Templates — Math

Easy PSET template with examples.

In this paper, we do exactly what the title implies: prove the Čebotarev Density Theorem. This is an extremely valuable theorem because it is a vast generalization of Dirichlet's Theorem on primes in an arithmetic progression. Our theorem goes even further to the case of other number fields; we will show that the prime ideals in an imaginary quadratic field K are virtually equidistributed among the conjugacy classes of Artin symbols in the Galois group of a Galois extension L over K. Note that L need not be abelian over K!

This template can be used for typesetting solutions to homework assignments. We define a document class that includes a number of useful packages, defines shorthand macros for commonly used constructs and makes it easy to typeset answers to exercises. The template default content demonstrates how various tasks can be achieved in LaTeX as well: mathematical notation and many symbols, typesetting a table, including a figure, et cetera.

Homework template for Kristen Beck's section of Advanced Calculus at Saint Mary's College of California.

Homework Template for Discrete Math

Simple template for writing proofs, with formatting that leaves plenty of space for grader comments.

Homework 2 for Discrete Math at CU Boulder in Summer 2019

A template for instructors to create exams for Mathematics/Statistics classes.

This is the template for DAM (discrete and argumentative mathematics). We prove theorem $2.1$ using the method of proof by way of contradiction. This theorem states that for any set $A$, that in fact the empty set is a subset of $A$, that is $\emptyset \subset A$.