Remove section numbering from fancyhdr header

Question

I have a document containing my course notes, and am attempting to alter the fancyhdr header as in the images below:

Current

Wanted

Here is my current header code, with irrelevant parts omitted.

\documentclass[english, 11pt]{article}
\usepackage{fancyhdr}
\pagestyle{fancy}
\usetikzlibrary{decorations.pathmorphing}

\chead{\coursename}
\lhead{\semester}

\begin{document}

\section{Lecture 1}
.
.
.
\end{document}

What I would like is for the right header to contain the section name (and only the section name) of the current page, the actual section titles in the document to contain only the section name, but the table of contents to retain the section number. Please note I have only limited TeX experience (self-taught), so this is a fairly steep learning curve for me. Thank you in advance.

Answer 1

Here is a slightly alternative suggestion based on the fact that you're probably going to enumerate all lectures one after the other, and not really "name" them. Therefore, instead of using

\section{Lecture 1}

use some automated

\newlecture

which will print the heading, do some formatting, and adjust the header/footer accordingly.

\documentclass{article}
\usepackage{fancyhdr,lipsum}
\pagestyle{fancy}

\chead{\coursename}
\lhead{\semester}
\rhead{\lecturename{} \thelecture}

\newcommand{\coursename}{Engineering Numerical Methods}
\newcommand{\semester}{Semester 1 2015}
\newcommand{\lecturename}{Lecture}

\newcounter{lecture}
\newcommand{\newlecture}{%
  \clearpage
  \refstepcounter{lecture}%
  \noindent{\large\bfseries \lecturename{} \thelecture}%
  \par\bigskip\noindent\ignorespaces%
}

\begin{document}

\newlecture\label{lec:first}%
\lipsum[1-3]

\newlecture
In Lecture~\ref{lec:first}, we examined \ldots
\lipsum[1-3]

\end{document}