--- mathtools.dtx.orig	2016-08-15 19:59:53.404392700 +0200
+++ mathtools.dtx	2016-08-16 22:09:09.182519600 +0200
@@ -294,7 +294,7 @@
 %  \begin{abstract}
 %    The \pkg{mathtools} package is an extension package to
 %    \pkg{amsmath}. There are two things on \pkg{mathtools}' agenda:
-%    1)~correct various bugs/defeciencies in \pkg{amsmath} until
+%    1)~correct various bugs/deficiencies in \pkg{amsmath} until
 %    these are fixed by the \AmS{} and 2)~provide useful tools
 %    for mathematical typesetting, be it a small macro for
 %    typesetting a prescript or an underbracket, or entirely new
@@ -331,7 +331,7 @@
 %  
 %
 % \medskip\noindent
-% Update 2013: We now makes \cs{(}\cs{)} and \cs[\cs]
+% Update 2013: We now make \cs{(}\cs{)} and \cs[\cs]
 % robust (can be disabled via \texttt{nonrobust} package option).
 % 
 %  \section{Package loading}
@@ -615,7 +615,7 @@
 %    \cs{smashoperator}\oarg{pos}\marg{operator with limits}
 %  \end{codesyntax}
 %  \FeatureRequest{Lars Madsen}{2004/05/04}
-%  Above we shoved how to get \LaTeX{} to ignore the width of the
+%  Above we showed how to get \LaTeX{} to ignore the width of the
 %  subscript of an operator. However this approach takes a lot of
 %  extra typing, especially if you have a wide superscript, meaning
 %  you have to put in \cs{crampedclap} in both sub- and superscript.
@@ -1181,7 +1181,7 @@
 %  type valid in the usual \env{array} environment.
 %
 %  While we are at it, we also provide fenced versions of the
-%  \env{smallmatrix} environment, To keep up with the naming of the
+%  \env{smallmatrix} environment. To keep up with the naming of the
 %  large matrix environments, we provide both a starred and a
 %  non-starred version. Since \env{smallmatrix} is defined in a
 %  different manner than the \env{matrix} environment, the option to
@@ -1229,7 +1229,7 @@
 % \]
 % Inside the \verb?Xsmallmatrix? construction a small space is
 % inserted between the fences and the contents, the size of it can be
-% changed using \key{smallmatrix-align}=\meta{some spacing command},
+% changed using \key{smallmatrix-inner-space}=\meta{some spacing command},
 % the default is \cs{,}.
 %
 % As an extra trick the fences will behave as open and closing fences
@@ -1840,9 +1840,9 @@
 %     \cs{delimsize}
 %  \end{codesyntax}
 %  Sometimes one might want to have the capabilities of
-%  \cs{DeclarePairedDelimiter}, but also want a macro the takes more
-%  than one argument and specify plus being able to specify the body
-%  of the generated macro. 
+%  \cs{DeclarePairedDelimiter}, but also want a macro that takes more
+%  than one argument plus being able to specify the body of the
+%  generated macro.
 %
 %  \cs{DeclarePairedDelimiterX} extends the features of
 %  \cs{DeclarePairedDelimiter} such that the user will get a macro
@@ -2031,7 +2031,7 @@
 %  \cs{DeclarePairedDelimiterX} we make a few changes such that the
 %  auto scaled \cs{left} and \cs{right} fences behave as opening and
 %  closing fences, i.e.\ $\sin(x)$ vs. $\sin\left(x\right)$ (the later
-%  made via \verb|$\sin\left(x\right)$|), notice the gab between
+%  made via \verb|$\sin\left(x\right)$|), notice the gap between
 %  '$\sin$' and '('.  In some special cases it may be useful to be
 %  able to tinker with the behavior.
 %  \begin{codesyntax}
@@ -2395,7 +2395,7 @@
 %  been fixed in \LaTeX, this fix will be removed from
 %  \pkg{mathtools}.
 %
-% The \CommentAdded{2015/11/12} fix was added to the \LaTeX{} kernel i 2015. We will continue to
+% The \CommentAdded{2015/11/12} fix was added to the \LaTeX{} kernel in 2015. We will continue to
 % provide it on older kernels.
 %
 %  \subsection{Spreading equations}\label{sec:spread}
@@ -2512,7 +2512,7 @@
 %    \SpecialUsageIndex{\splitdfrac}\cs{splitdfrac}\marg{numer}\marg{denom}
 %  \end{codesyntax}
 %  \cttPosting{Michael J.~Downes}{2001/12/06}
-%  These commands provide split fractions e.g., multiline fractions:
+%  These commands provide split fractions, e.g. multiline fractions:
 %  \begin{verbatim}
 %    \[
 %      a=\frac{