Description of Template

The template is served for private math homework writing, and I upgraded some existed environments so that it is specialized and suits my own writing habit better.

I don't really like vaious colorful fancy tcolorboxes, so propositions, theorems, lemmas and corollaries are just plain text without highlighted using various colors, though I did use some not-that-fancy colorboxes for extension and remark environments.

Strongpoints

The template includes some improved environments.

Solution environments (differed by whether the line is skipped after Solution., before the content.)

soln serves for problems that have different parts, so it would be better and looks like

Solution.
(a) ...
(b) ...

solution serves for problems that only have one part, which would be like
```
Solution. I claimed that ...
```

These two environments are done with the following code:

%%% Reference: https://tex.stackexchange.com/questions/85059/proof-environment-line-break-after-the-proof
\newenvironment{myproof}[1][\proofname]{\par
  \pushQED{\qed}%
  \normalfont \topsep6\p@\@plus6\p@\relax
  \trivlist
  \item[\hskip\labelsep
      \itshape
      #1\@addpunct{.} ]\mbox{}\par\nobreak}
  {\popQED\endtrivlist\@endpefalse}
\makeatother

\newenvironment{soln}[1][Solution]{%
\begin{myproof}[#1] }%
{\end{myproof}}
\makeatother


\newenvironment{solution}[1][Solution]{
\begin{proof}[Solution][#1]}{\end{proof}}

subproof, subsubproof for proof inside solution and lemmas, differed by different qed symbols, including \clubsuit and \blacksquare, done by the following code:

\newenvironment{subsubproof}[1][Proof]{%
\begin{proof}[#1] \renewcommand{\qedsymbol}{$\clubsuit$}}%
{\end{proof}}
\newenvironment{subproof}[1][Proof]{%
\begin{proof}[#1] \renewcommand{\qedsymbol}{$\blacksquare$}}%
{\end{proof}}
\makeatletter

Directly using \section{} to show Problem #1, 2, 3, ... (can be directly shown in the table of content, as an advantage comparing to \section*{Problem \#1})

\titleformat{\section}
    {\normalfont\Large\scshape}
    {Problem \#\thetitle}
    {0em}
    {}

\titlecontents
    {section}                       % which level does it apply to, e.g. chapter, section, ...
    [1in]                           % left margin
    {}                              % code executed before the tocline
    {Problem \#\thecontentslabel}  % format for numbered entries
    {Problem \#\thecontentslabel}  % format for unnumbered entries
    {\titlerule*[0.5pc]{$\cdot$}\contentspage\hspace*{1in}}                              % format for filler page
    []

Using tcolorbox for remark and extension environment (though if a pagebreak exists in the middle, it seems to work not quite well, feel free to report issues and improvement method!)

\newenvironment{remark}[1][\textbf{Remark}]{\begin{tcolorbox}[enhanced, coltitle=black, frame code={\path[draw=black, line width=2pt]
  ([yshift=-4.5pt]frame.north west) -- ([yshift=10pt]frame.south west);}, colback=white, adjusted title=#1, left=8pt, right=8pt, breakable=true]}{\end{tcolorbox}}

\newenvironment{extension}[1][\textcolor{blue}{\textbf{Extension}}]{\begin{tcolorbox}[enhanced, coltitle=black, frame code={\path[draw=blue, line width=2pt]
    ([yshift=-4.5pt]frame.north west) -- ([yshift=10pt]frame.south west);}, colback=white, adjusted title=#1, left=8pt, right=8pt, breakable=true]}{\end{tcolorbox}}

Add claim and conclusion environments

\newenvironment{conclusion}{{\medskip}
\noindent
\textbf{Conclusion.}}{{\medskip}}

\newenvironment{claim}{{\medskip}
\noindent
\textbf{Claim.}}{{\medskip}}

PLASTA0728 / Math-Homework-Problem-Set-Template

Description of Template

Strongpoints

Example Compiled Result

About

Languages