Math-Methods-Notes-2021/P231_notes.tex at master · fliptanedo/Math-Methods-Notes-2021 · GitHub

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%!TEX root = P231_notes.tex

\documentclass[12pt]{article}
\input{P231_header}

\begin{document}

%\thispagestyle{empty}		% default if no preprint #
\thispagestyle{firststyle} 	% to include preprint
%% I think this may screw up pdfsync on the first page

\begin{center}

	{\large {P231:}}
    {\Large \bf Mathematical Methods in Graduate Physics}

    \vskip .7cm

%% SINGLE AUTHOR FORMAT
%% --------------------
	\textbf{Flip Tanedo} \\
	\texttt{\footnotesize \email{flip.tanedo@ucr.edu}}

	\vspace{-1em}
    \begin{institutions}[1.5cm]
    \footnotesize
    {\it
	    Department of Physics \& Astronomy,
	    University of  California, Riverside,
	    {CA} 92521
	    }
    \end{institutions}


\end{center}


%%%%%%%%%%%%%%%%%%%%%
%%%  ABSTRACT    %%%%
%%%%%%%%%%%%%%%%%%%%%

\begin{abstract}
\noindent
This is a crash course on mathematical methods necessary to succeed in the first-year physics graduate curriculum at \acro{UC} Riverside.
%
The focus is how to solve differential equations using Green's functions. This version is revised for Fall 2021. Last Compiled: \today
\end{abstract}


\small
\setcounter{tocdepth}{2}
\tableofcontents
\normalsize
%\clearpage


%%%%%%%%%%%%%%%%%%%%%
%%%  THE CONTENT  %%%
%%%%%%%%%%%%%%%%%%%%%

\input{Lec-00-intro}
\input{Lec-01-physics-vs-math}
\input{Lec-02-dimensional-analysis}
\input{Lec-03-linear-algebra}
\input{Lec-04-functionspace}
\input{Lec-05-complex}
\input{Lec-06-HO}
% Following is not complete:
\input{Lec-07-KramersKonig}
\input{Lec-08-HOinXD}
\input{Lec-09-CoupledHO}
\input{Lec-10-probability}

\input{Lec-99-endnotes}

\appendix
\input{Lec-999-Appendix-method-of-variations}
\input{Lec-0A-Fourier}
\input{Lec-11-bayes}
\input{Lec-999-Appendix-Legendre}

%
% \textsc{p.t.} thanks the Aspen Center for Physics (NSF grant \#1066293) for its hospitality during a period where part of this work was completed. \textsc{p.t.} is supported by the DOE grant \textsc{de-sc}/0008541.

%% Appendices
% \appendix


%% Bibliography
%\bibliographystyle{utcaps} 	% arXiv hyperlinks, preserves caps in title
%\bibliographystyle{utphys} 	% arXiv hyperlinks
% \bibliography{bib title without .bib}


\end{document}