Fixed minor syntax issues with formating of markdown and latex files

8 files changed, 62 insertions, 24 deletions

diff --git a/book/computingME.pdf b/book/computingME.pdf
index 572b469..4ef935c 100644
--- a/book/computingME.pdf
+++ b/book/computingME.pdf
diff --git a/book/module1/array.tex b/book/module1/array.tex
index 9482065..e442ba6 100644
--- a/book/module1/array.tex
+++ b/book/module1/array.tex
@@ -35,7 +35,19 @@ the value of the element as a property. In other words, if we were to
 analyze the stress concentration of an aluminum block, the property
 would be stress.
 
+\begin{itemize}
+\tightlist
+\item
+  From
+  \href{https://numpy.org/doc/2.2/user/absolute_beginners.html}{Numpy
+  documentation}
+\end{itemize}
+
+\begin{figure}
+\centering
 \includegraphics{figures/multi-dimensional-array.png}
+\caption{Mathworks 3-D array}
+\end{figure}
 
 If the load on this block changes over time, then we may want to add a
 4th dimension i.e.~additional sets of 3-D arrays for each time
diff --git a/book/module1/basics_of_python.tex b/book/module1/basics_of_python.tex
index 4b9db05..a68400e 100644
--- a/book/module1/basics_of_python.tex
+++ b/book/module1/basics_of_python.tex
@@ -10,26 +10,40 @@ syntax, operators, order or precedence and more.
 In python \emph{indentations} or the space at the start of each line,
 signifies a block of code. This becomes important when we start working
 with function and loops. We will talk more about this in the controls
-structures tutorial. \#\#\# Comments Comments can be added to your code
-using the hash operator (\#). Any text behind the comment operator till
-the end of the line will be rendered as a comment. If you have an entire
-block of text or code that needs to be commented out, the triple
-quotation marks (``\,``\,``) can be used. Once used all the code after
-it will be considered a comment until the comment is ended with the
-triple quotation marks.f
+structures tutorial.
+
+\subsubsection{Comments}\label{comments}
+
+Comments can be added to your code using the hash operator (\#). Any
+text behind the comment operator till the end of the line will be
+rendered as a comment. If you have an entire block of text or code that
+needs to be commented out, the triple quotation marks (``\,``\,``) can
+be used. Once used all the code after it will be considered a comment
+until the comment is ended with the triple quotation marks.f
 
 \subsection{Operators}\label{operators}
 
 In python, operators are special symbols or keywords that perform
 operations on values or variables. This section covers some of the most
-common operator that you will see in this course. \#\#\# Arithmetic
-operators \textbar{} Operator \textbar{} Name \textbar{} \textbar{} ---
-\textbar{} --- \textbar{} \textbar{} + \textbar{} Addition \textbar{}
-\textbar{} - \textbar{} Subtraction \textbar{} \textbar{} * \textbar{}
-Multiplication \textbar{} \textbar{} / \textbar{} Division \textbar{}
-\textbar{} \% \textbar{} Modulus \textbar{} \textbar{} ** \textbar{}
-Exponentiation \textbar{} \textbar{} // \textbar{} Floor division
-\textbar{}
+common operator that you will see in this course.
+
+\subsubsection{Arithmetic operators}\label{arithmetic-operators}
+
+\begin{longtable}[]{@{}ll@{}}
+\toprule\noalign{}
+Operator & Name \\
+\midrule\noalign{}
+\endhead
+\bottomrule\noalign{}
+\endlastfoot
++ & Addition \\
+- & Subtraction \\
+* & Multiplication \\
+/ & Division \\
+\% & Modulus \\
+** & Exponentiation \\
+// & Floor division \\
+\end{longtable}
 
 \subsubsection{Comparison operators}\label{comparison-operators}
 
diff --git a/book/module1/jupyter_lab_notebook.tex b/book/module1/jupyter_lab_notebook.tex
index c08fd74..b7d9353 100644
--- a/book/module1/jupyter_lab_notebook.tex
+++ b/book/module1/jupyter_lab_notebook.tex
@@ -95,9 +95,12 @@ hashes determines whether it's a sub-title \texttt{\#}, \texttt{\#\#},
 
 There are two types of list in - Bullet lists: \texttt{-\ item} -
 Numbered lists: \texttt{1.\ item} \#\#\# Style - Emphasis:
-\emph{italic}, \textbf{bold}, \texttt{monospace} \#\#\# Mathematical
-Equation Markdown supports LaTeX format equations. Inline equation is
-opened and closed with a single \texttt{\$}. For a block math a double
+\emph{italic}, \textbf{bold}, \texttt{monospace}
+
+\subsubsection{Mathematical Equation}\label{mathematical-equation}
+
+Markdown supports LaTeX format equations. Inline equation is opened and
+closed with a single \texttt{\$}. For a block math a double
 \texttt{\$\$} is used instead of single.
 
 \begin{itemize}
@@ -108,12 +111,15 @@ opened and closed with a single \texttt{\$}. For a block math a double
 \item
   Block: Whilst this is a block:
   \texttt{\$\$\textbackslash{}int\_0\^{}\textbackslash{}infty\ e\^{}\{-x\^{}2\}\ dx\ =\ \textbackslash{}frac\{\textbackslash{}sqrt\{\textbackslash{}pi\}\}\{2\}\$\$}
-  \#\#\# Links and images You can insert links to a different local file
-  or online urls like this: {[}Link{]}(file.md). I insert an image it's
-  the same however start with an exclamation mark \texttt{!} like this:
-  !{[}Image Caption{]}(picture.png)
 \end{itemize}
 
+\subsubsection{Links and images}\label{links-and-images}
+
+You can insert links to a different local file or online urls like this:
+{[}Link{]}(file.md). I insert an image it's the same however start with
+an exclamation mark \texttt{!} like this: !{[}Image
+Caption{]}(picture.png)
+
 \subsection{Exporting and Sharing}\label{exporting-and-sharing}
 
 To export your notebook go to
diff --git a/book/module2/error.tex b/book/module2/error.tex
index 758a206..2646dc8 100644
--- a/book/module2/error.tex
+++ b/book/module2/error.tex
@@ -29,9 +29,9 @@ part of the computation}. An example of this could be using a finite
 number of terms from a Taylor Series expansion to approximate a
 function.
 
-Approximating $e^x$ by the first few terms of its Taylor series:
+Approximating \(e^x\) by the first few terms of its Taylor series:
 
-$e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!}​\$
+\[e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!}​\]
 
 The error comes from \textbf{neglecting} all the higher order terms
 (\(\frac{x^4}{4!}, \frac{x^5}{5!}\), \ldots).
diff --git a/tutorials/module_1/array.md b/tutorials/module_1/array.md
index 9fa1c88..164d53d 100644
--- a/tutorials/module_1/array.md
+++ b/tutorials/module_1/array.md
@@ -15,6 +15,8 @@ A two-dimensional array would be like a table:
 A three-dimensional array would be like a set of tables, perhaps stacked as though they were printed on separate pages. If we visualize the position of each element as a position in space. Then we can represent the value of the element as a property. In other words, if we were to analyze the stress concentration of an aluminum block, the property would be stress.
 
 - From [Numpy documentation](https://numpy.org/doc/2.2/user/absolute_beginners.html)
+
+
 ![Mathworks 3-D array](figures/multi-dimensional-array.png)
 
 If the load on this block changes over time, then we may want to add a 4th dimension i.e. additional sets of 3-D arrays for each time increment. As you can see - the more dimensions we add, the more complicated of a problem we have to solve. It is possible to increase the number of dimensions to the n-th order. This course we will not be going beyond  dimensional analysis.
diff --git a/tutorials/module_1/basics_of_python.md b/tutorials/module_1/basics_of_python.md
index 7654e92..0df9296 100644
--- a/tutorials/module_1/basics_of_python.md
+++ b/tutorials/module_1/basics_of_python.md
@@ -5,12 +5,14 @@ This page contains important fundamental concepts used in Python such as syntax,
 ## Syntax
 ### Indentations and blocks
 In python *indentations* or the space at the start of each line, signifies a block of code. This becomes important when we start working with function and loops. We will talk more about this in the controls structures tutorial. 
+
 ### Comments
 Comments can be added to your code using the hash operator (#). Any text behind the comment operator till the end of the line will be rendered as a comment.
 If you have an entire block of text or code that needs to be commented out, the triple quotation marks (""") can be used. Once used all the code after it will be considered a comment until the comment is ended with the triple quotation marks.f
  
 ## Operators
 In python, operators are special symbols or keywords that perform operations on values or variables. This section covers some of the most common operator that you will see in this course.
+
 ### Arithmetic operators
 | Operator | Name           |
 | ---      | ---            |
diff --git a/tutorials/module_1/jupyter_lab_notebook.md b/tutorials/module_1/jupyter_lab_notebook.md
index ab52654..ad5d7b5 100644
--- a/tutorials/module_1/jupyter_lab_notebook.md
+++ b/tutorials/module_1/jupyter_lab_notebook.md
@@ -47,11 +47,13 @@ There are two types of list in
 - Numbered lists: `1. item`
 ### Style
 - Emphasis: _italic_, **bold**, `monospace`
+
 ### Mathematical Equation
 Markdown supports LaTeX format equations. Inline equation is opened and closed with a single `$`. For a block math a double `$$` is used instead of single.
 
 - Inline: This equation is inline `$E = mc^2$` in with the markdown text.
 - Block: Whilst this is a block: `$$\int_0^\infty e^{-x^2} dx = \frac{\sqrt{\pi}}{2}$$`
+
 ### Links and images
 You can insert links to a different local file or online urls like this: \[Link](file.md). I insert an image it's the same however start with an exclamation mark `!` like this: !\[Image Caption](picture.png)