Gallery — Math

First assignment dealing with nullspace and rowspace

A homework template for Mathematical Tools for Computer Science (CPSC 202), an undergraduate course at Yale University. This template is designed to allow students to print out solutions in multiple parts, which are submitted separately to individual graders. It may also serve as an introductory template for LaTeX beginners.

Ficheiro para registar os resultados das experiências realizadas na disciplina Seminário II - módulo funções em 2019/20

This paper describes the three conditions of damped oscillations and the mathematical formulations of each condition.

A sample of some problem types and LaTeX commands that may be useful in a math exam. Uses the exam document class.

A proof of the product integral using derivatives and and the limit of a difference quotient to certify its identity as an integral of the natural logarithm.

Template project for our homeworks

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!

DE1-MEM Complex Numbers Tutorial Sheet with solutions