Cfrgtkky

documentclass[12pt,a4paper]{report}

usepackage[utf8]{inputenc}

usepackage{amsmath}

usepackage{booktabs}

usepackage{array}

usepackage{tabularx}

usepackage{caption} 

captionsetup[table]{skip=10pt}

renewcommand{arraystretch}{1.4}

usepackage{amsfonts}

usepackage{amssymb}

usepackage{adjustbox}

usepackage{rsc}

usepackage{graphicx}

usepackage{setspace}

linespread{1.25}

UseRawInputEncoding

usepackage{geometry}

    geometry{

    a4paper,

    left=40mm,

    right=20mm,

    top=40mm,

    bottom=50mm

    }

%header settings

usepackage{fancyhdr}

pagestyle{fancy}

   fancyhf{}

makeatletter

% copy of the original from report.cls with the MakeUppercase dropped

renewcommand{chaptermark}[1]{

  markboth

    {ifnum c@secnumdepth >m@ne

       @chapapp thechapter. 

      fi

     #1}

    {}}

makeatother



usepackage{etoolbox}

patchcmd{tableofcontents}

  {MakeUppercase}

  {}

  {}{}

patchcmd{tableofcontents}

  {MakeUppercase}

  {}

  {}{}



patchcmd{thebibliography}

  {MakeUppercase}

  {}

  {}{}

patchcmd{thebibliography}

  {MakeUppercase}

  {}

  {}{}



fancyhead[L]{itshapeleftmark}

fancyhead[R]{itshape Keiran Corbett}

fancyfoot[C]{thepage}

renewcommand{headrulewidth}{0.5pt}

renewcommand{footrulewidth}{0pt}

  setlength{headheight}{15pt}

  setlength{footskip}{50pt}  %page number spacing

begin{document}

    tableofcontents

    chapter{Example chapter title}

     newpage

     text

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    chapter{Example chapter title}

    end{document}

So with this command, it looks how I would like but I have a table of contents and the header for that is Chapter 0. CONTENTS

So I have two questions
1. How do I make CONTENTS not capital
2. How can I get rid of the Chapter (Only for bib and contents section)

bibliography also has the same problem

There is an exmaple of how it should look on page 4 of the example latex file

I suggest a slight change to chaptermark so that leftmark contains the entire header ("Chapter 1. Example chapter title") and not just the chapter title ("Example chapter title"). That makes your fancyhead[L] simpler and less susceptible to incorrect chapter numbers.

For a nice header in the ToC and bibliography I found no better way than patching the commands directly. See for example Headers of ToC and fancyhdr.

memoir or the KOMA classes would have more convenient interfaces for this.

documentclass[12pt,a4paper]{report}



usepackage{fancyhdr}

pagestyle{fancy}

   fancyhf{}



makeatletter

% copy of the original from report.cls with the MakeUppercase dropped

renewcommand{chaptermark}[1]{%

  markboth

    {ifnum c@secnumdepth >m@ne

       @chapapp thechapter. %

      fi

     #1}

    {}}

makeatother



usepackage{etoolbox}

patchcmd{tableofcontents}

  {MakeUppercase}

  {}

  {}{}

patchcmd{tableofcontents}

  {MakeUppercase}

  {}

  {}{}



patchcmd{thebibliography}

  {MakeUppercase}

  {}

  {}{}

patchcmd{thebibliography}

  {MakeUppercase}

  {}

  {}{}



fancyhead[L]{itshapeleftmark}

fancyhead[R]{itshape NAME}

fancyfoot[C]{thepage}

renewcommand{headrulewidth}{0.5pt}

renewcommand{footrulewidth}{0pt}

  setlength{headheight}{15pt}





begin{document}

tableofcontents

chapter{Example chapter title}

lorem

newpage

ipsum

newpage

dolor

newpage

sit

newpage

amet.

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}

chapter{Example chapter title}



nocite{*}

bibliographystyle{plain}

bibliography{xampl}

end{document}

The rsc package loads natbib and thus slightly changes the typesetting of the bibliography heading. In that case you need to patch the command bibsection and not thebibliography.

Add

patchcmd{bibsection}

  {MakeUppercase}

  {}

  {}{}

patchcmd{bibsection}

  {MakeUppercase}

  {}

  {}{}

to your preamble.