\documentclass[a4paper,10pt]{article}
\usepackage[utf8]{inputenc}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% DEFINING THE language AND ENHANCEMENT FOR FONTS
%es-lcroman para numerales en minisculas con enumerate
%de quitarse solo se verían en mayusculas
%es-tabla para mostrar "Tabla" en vez de "Table"
\usepackage[spanish, es-tabla, es-lcroman]{babel}
\usepackage[protrusion=true,expansion=true]{microtype}	
\usepackage{verbatim}
%% DEFINING THE language AND ENHANCEMENT FOR FONTS 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage[spanish,vlined,ruled]{algorithm2e}
\SetKw{KwBy}{por cada}
\usepackage{multicol}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% COMMENT/UNCOMMENT showframe to show/hide the frame of the page on the pdf.
\usepackage{geometry,pdfpages}
\geometry{
  a4paper,%showframe,
  left=20mm,top=12mm,right=20mm,bottom=10mm,
  headheight=10mm,headsep=10mm,foot=5mm,footskip=10mm,
  includeheadfoot
}
%% COMMENT/UNCOMMENT shoframe to show/hide the frame of the page on the pdf.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{lipsum}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% MATH PACKAES 
\usepackage{amsfonts,amsthm, amssymb}
\usepackage[fleqn,leqno]{mathtools}
\usepackage{etoolbox}
\AtBeginEnvironment{align}{\setcounter{equation}{0}}
\usepackage{cancel}
%% MATH PACKAES 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{adjustbox}
\usepackage{array}
\renewcommand{\arraystretch}{1.2}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% MAKE SOME MAGIC TRICKS TO PIMP THE STYLE OF WHATEVER
\usepackage{tikz}
%% ADD A TREE
\usetikzlibrary{trees}
%% ADD CODE AND COLOR TO CODE AND A TREE, ETC.
% \usepackage{minted}
\usepackage{listings}
\usepackage{xcolor}
%% MAKE SOME MAGIC TRICKS TO PIMP THE STYLE OF WHATEVER 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% TO REFERENCE A IMAGE, TABLE, EMAIL, ETC.
\usepackage{hyperref}
%% TO REFERENCE A IMAGE, TABLE, EMAIL, ETC.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{parskip}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% TEXT BESIDES A TABLE
% \usepackage{wrapfig,booktabs}
\usepackage{tabularx}
%%% TEXT BESIDES A TABLE
%%%%%%%%%%%%%%%%%%%%%%%
%%% COLORS FOR TABLES
\usepackage{color, colortbl}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% INSERT A PDF'S PAGE(S)
\usepackage{graphicx}
\usepackage{float}
\usepackage[rightcaption]{sidecap}
% \usepackage{pdfpages}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% CUSTOM THE PAGE STYLE
%%%%% Custom sectioning
\usepackage{sectsty}
%%%%% CUSTOM THE SIMBOL FOR ITEMS
\usepackage{enumitem}
%%%%% CUSTOM FOR THE HEADER/FOOT
\usepackage{fancyhdr}
%%% CUSTOM THE FONTS FOR DE HEADER/FOOT
%\allsectionsfont{\sffamily}
%\allsectionsfont{\normalfont\scshape}
\allsectionsfont{\sffamily\bfseries}
%%% Custom headers/footers (fancyhdr package)
\pagestyle{fancy}
%%% HEADERS
%%% SUBSECTION AT LEFT
%\fancyhead[L]{\textbf{\large\textsl{\nouppercase{Programaci\'onDeclarativa.}}}}
%%% SECCION AT RIGHT
%\fancyhead[L]{\textbf{\large\textrm{\nouppercase{Proyecto final}}}}
%% texto para las cabeceras, izquierda y derecha
\fancyhead[L]{\textbf{\large\textrm{\nouppercase{Análisis numérico}}}}
\fancyhead[R]{\textbf{\large\textrm{\nouppercase{Factorización QR}}}}
%%% FOOTERS
\fancyfoot[R]{\large\textbf{P\'agina \thepage}}
\fancyfoot[C]{}
\fancyfoot[L]{}
%%% LINE DECORATION AT THE TOP
\renewcommand{\headrulewidth}{0.6pt}
%%% LINE DECORATION AT THE BOTTOM
%\renewcommand{\footrulewidth}{0.6pt}
%% CUSTOM THE PAGE STYLE
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% DEFINING COLORS FOR CODE
% \definecolor{Gray}{gray}{0.9}
% \definecolor{LightCyan}{rgb}{0.88,1,1}
% \definecolor{airforceblue}{rgb}{0.36, 0.54, 0.66}
\definecolor{Gray}{gray}{0.9}
\definecolor{pastelgreen}{rgb}{0.47, 0.87, 0.47}
\definecolor{codegreen}{rgb}{0,0.6,0}
\definecolor{codegray}{rgb}{0.5,0.5,0.5}
\definecolor{codepurple}{rgb}{0.58,0,0.82}
\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
\definecolor{ashgrey}{rgb}{0.7, 0.75, 0.71}
\definecolor{bittersweet}{rgb}{1.0, 0.44, 0.37}
\definecolor{cadetgrey}{rgb}{0.57, 0.64, 0.69}
\definecolor{charcoal}{rgb}{0.21, 0.27, 0.31}
\definecolor{darkgray}{rgb}{0.66, 0.66, 0.66}
\definecolor{gray(x11gray)}{rgb}{0.75, 0.75, 0.75}
\definecolor{gray}{rgb}{0.5, 0.5, 0.5}
\definecolor{airforceblue}{rgb}{0.36, 0.54, 0.66}
\definecolor{arsenic}{rgb}{0.23, 0.27, 0.29}
\definecolor{babyblueeyes}{rgb}{0.63, 0.79, 0.95}
\definecolor{bluegray}{rgb}{0.4, 0.6, 0.8}
% COLORS FOR PROLOG CODE
% \lstdefinestyle{mystyle}{
%      backgroundcolor=\color{gray(x11gray)},
%      commentstyle=\color{codegreen},
%      keywordstyle=\color{magenta},
%      numberstyle=\tiny\color{black},
%      stringstyle=\color{codepurple},
%      basicstyle=\ttfamily\footnotesize,
%      breakatwhitespace=false,         
%      breaklines=true,                 
%      captionpos=t,                    
%      keepspaces=true,                 
%      numbers=left,                    
%      numbersep=2pt,                  
%      showspaces=false,                
%      showstringspaces=false,
%      showtabs=false,                  
%      tabsize=2,
%      language=Prolog,
%      basicstyle = \ttfamily\color{blue},
%      moredelim = [s][\color{black}]{(}{)},
%      literate =
%         {:-}{{\textcolor{black}{:-}}}2
%         {,}{{\textcolor{black}{,}}}1
%         {.}{{\textcolor{black}{.}}}1
%         {!}{{\textcolor{black}{!}}}1
% }
% \lstset{style=mystyle}
%%%%%%%%%%%%%%%%%% DEFINING COLORS FOR CODE 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% MACRO FOR HORIZONTAL RULE
\newcommand{\horrule}[1]{\rule{\textwidth}{#1}\color{black}} 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%% BEGIN OF THE DOCUMENT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% SOME PREFERENCES FOR SPANISH MATEMATICAL NOTATION 
%\newtheorem*{teo}{Teorema}
%\spanishdecimal{.}
% SOME PREFERENCES FOR SPANISH MATEMATICAL NOTATION 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
  \hskip -\arraycolsep
  \let\@ifnextchar\new@ifnextchar
  \array{#1}}
\makeatother
\begin{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% DEFINING COVER           
\begin{titlepage}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%% UNVIERSITY, FACULTY, CURSE SEMESTER, TITLE
 \begin{center}
   		\vspace{-1in} 	
        \normalfont \normalsize \textsc{ 
 		\LARGE Universidad Nacional Aut\'onoma de M\'exico \\
 		Facultad de Ciencias \\ %% UNIVERSITY, SCHOOL, INSTITUTE
 		\vspace{3mm} 
 		An\'alisis Num\'erico 2021-1} \\ [5pt] %% LECTURE && SEMESTER
		
        \includegraphics[scale = 1.1]{logo.png}\\[1.0 cm] %Logo
       		
		\usefont{OT1}{bch}{b}{n}		
		\horrule{0pt} \\[0.1cm]
		\horrule{3pt} \\[0.5cm]
		\Huge{TITLE OF PROYECT} \\
		%%\Huge{Factorización QR.} 
		\horrule{3pt} \\[0.7cm]
 \end{center}
%%%%%%%%%%%% UNVIERSITY, FACULTY, CURSE SEMESTER, TITLE
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% MINIÀGE FOR AUTHOR, NAME, EMAIL, ETC.
\begin{minipage}{1\textwidth}
 \vspace{5mm}
 \usefont{T1}{bch}{b}{n}
   \begin{flushright}
    \LARGE{Integrantes y correos:} \\[6pt] %% TEAM MEMEBERS
    \vspace{2mm}
    
    \Large NAME 1 NAME 2 NAME 3
    
    %% mailto: e-mail
    %% \texttt{ text for the e-mail}
\href{mailto:example@ciencias.unam.mx}{\texttt{example@ciencias.unam.mx}}
    \vspace{2mm}
    
    \Large  NAME 1 NAME 2 NAME 3
    
    
\href{mailto:example@ciencias.unam.mx}{\texttt{example@ciencias.unam.mx}}
    \vspace{2mm}
    
    \Large  NAME 1 NAME 2 NAME 3
    
    \href{mailto:example@ciencias.unam.mx}{\texttt{example@ciencias.unam.mx}}  
  
    
   \end{flushright}
\end{minipage}
 
%%%%%%%%%%%%%%%%%% MINIÀGE FOR AUTHOR: NAME, EMAIL, ETC.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\end{titlepage}
%%%%%%%%%%%%%%%%%% END DEFINING COVER           
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% TABLE OF CONTENTS
% \tableofcontents
% \thispagestyle{empty}
% \newpage
%%%%%%%%%%%%%%%%%% TABLE OF CONTENTS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% IF TABLE OF CONTENTS IS UNCOMMENT
%%%%%%%%%%%%%%%%% UNCOMMENT THIS TOO
\setcounter{page}{1}
\lipsum
\end{document}
    
%%%%%%%%%%%%%%%%% BEGIN OF THE DOCUMENT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%