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Michigan Robotics
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Initial Overleaf Import
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‎Archive/Chap002022.tex

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‎Booklet/Booklet.tex

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\documentclass[letterpaper]{book}
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\PassOptionsToPackage{usenames,dvipsnames,svgnames,table,xcdraw}{xcolor}
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\PassOptionsToPackage{dvipsnames,svgnames,table,xcdraw}{enumitems}
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\usepackage{tabularray}
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\usepackage{xcolor}
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\input{Defines/definesPackages}
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\input{Defines/definesCommands}
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\input{Defines/definesJuliaCodeCell}
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%\parindent
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\makeatletter
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\renewcommand{\frontmatter}{\cleardoublepage\@mainmatterfalse}
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\renewcommand{\mainmatter}{\cleardoublepage\@mainmattertrue}
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\makeatother
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% \title{Notes for Computational Linear Algebra\thanks{Inspired by Prof. Chad Jenkins}}
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% \date{}
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% \author{Jessy Grizzle\\ Robotics Institute, University of Michigan, Ann Arbor
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% \and Content contributed by Maani, Tribhi, Miley, Madhav, Kira, and Michael}
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%\doublespacing
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\title{Mathematics for Robotics}
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\date{}
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\author{Jessy Grizzle\\ Robotics Institute, University of Michigan, Ann Arbor}
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\begin{document}
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%\maketitle
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\newtheorem{thm}{Theorem}
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\numberwithin{thm}{chapter}
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\newtheorem{example}[thm]{Example}
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\newtheorem{nonexample}[thm]{Non-Example}
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\newtheorem{prop}[thm]{Proposition}
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\newtheorem{lem}[thm]{Lemma}
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\newtheorem{cor}[thm]{Corollary}
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\newtheorem{claim}[thm]{Claim}
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\newtheorem{rem}[thm]{Remark}
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\newtheorem{definition}[thm]{Definition}
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\newtheorem{notation}[thm]{Notation}
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\newtheorem{fact}[thm]{Fact}
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\newtheorem{notvocab}[thm]{Notation and Vocabulary}
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\newtheorem{question}[thm]{Question}
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\newtheorem{recall}[thm]{Recall}
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\newtheorem{exercise}[thm]{Exercise}
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\newtheorem{summary}[thm]{Summary}
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\newcounter{keyfacts}
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\newtheorem{keyfact}[keyfacts]{Key Fact}
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\begingroup
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\thispagestyle{empty}
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\AddToShipoutPicture*{\put(-38,0) {\includegraphics[scale=1.04]{CoverRob101LabManual.png}}} % Image background
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\mbox{ }
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\endgroup
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\clearpage
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\begingroup
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\thispagestyle{empty}
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%\centerline
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% \AddToShipoutPicture*{\put(240,50) {\includegraphics[scale=0.35]{media_users_user_14_project_222374_images_res_cassie_image.png}}} % Image background
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\AddToShipoutPicture*{\put(40,450) {\includegraphics[scale=0.35]{WorkTogether.png}}} % Image background
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~\vfill
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\thispagestyle{empty}
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\noindent Cover design by Dan Newman, Head of Communications, Michigan Robotics
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\vspace*{2cm}
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\noindent\copyright\space 2022 Jessy Grizzle, Professor of Robotics, University of Michigan \\
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\noindent \textsc{Jerry W. and Carol L. Levin Professor of Engineering\\
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Elmer G. Gilbert Distinguished University Professor}\\
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%\noindent \textsc{github.com/LaurethTeX/Clustering}\\ % URL
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\noindent This manual is based on the Julia lab exercises that were developed in F-21 by Lu Gan, John Pye, and Jessy Grizzle. Over Su-22, Ms. Yining (Maya) Yuan contributed numerous improvements to the exercises and the editing of the manual.
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\\ % License information
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\noindent \textit{First release, August 31, 2022. Second Release, January 4, 2023.} % Printing/edition date
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\endgroup
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\frontmatter
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\tableofcontents
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\chapter{Preface}
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\input{Chapters/Preface.tex}
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\chapter{Philosophy of the Course}
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\input{Chapters/Philosophy.tex}
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% \chapter{List of Algorithms and Methods or Things You Need Code to Do Well}
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% \input{TexBookletHandouts/ListAlgorithms.tex}
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\mainmatter
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\setcounter{chapter}{-1}
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\chapter{Julia Lab 0: Introduction to Coding in Julia}
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\label{chap:Lab0}
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\input{Chapters/Chap00.tex}
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\chapter{Julia Lab 1: Variable Types, Plotting a Function, and Creating Arrays}
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\label{chap:Lab1}
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\input{Chapters/Chap01.tex}
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\chapter{Julia Lab 2: Vectors, Matrices, and Indexing}
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\label{chap:Lab2}
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\input{Chapters/Chap02.tex}
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\chapter{Julia Lab 3: For Loops and 1-Element Vectors}
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\label{chap:Lab3}
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\input{Chapters/Chap03.tex}
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\chapter{Julia Lab 4: If Statements, Function Creation, and ``Peeling the Onion''}
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\label{chap:Lab4}
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\input{Chapters/Chap04.tex}
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\chapter{Julia Lab 5: Linear Independence and LDLT Factorization, a Souped-up Version of LU}
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\label{chap:Lab5}
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\input{Chapters/Chap05.tex}
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\chapter{Julia Lab 6: Matrix Null Space and Linear Regression}
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\label{chap:Lab6}
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\input{Chapters/Chap06.tex}
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\chapter{Julia Lab 7: Grahm-Schmidt Algorithm, Orthogonal (Basis) Vectors, and Computing the Null Space}
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\label{chap:Lab7}
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\input{Chapters/Chap07.tex}
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\chapter{Julia Lab 8: Basis Vectors, Dimension, Coordinates, Eigenvectors and Eigenvalues}
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\label{chap:Lab8}
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\input{Chapters/Chap08.tex}
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\chapter{Julia Lab 9: Modeling, Simulating, and Controlling a Mobile Robot}
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\label{chap:Lab9}
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\input{Chapters/Chap09.tex}
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\chapter{Julia Lab 10: The Joy of Doing Calculus with Julia!}
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\label{chap:Lab10}
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\input{Chapters/Chap10.tex}
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\pagestyle{plain}
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\newpage
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\appendix
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\chapter{Summary of Key Julia Commands}
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\label{App:JuliaCommands}
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\input{Chapters/ChapAppendixA.tex}
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\chapter{Building Better Functions Through Structured Returns or Named Tuples}
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\label{App:StructuredReturns}
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\input{Chapters/ChapAppendixB}
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\chapter{From MATLAB to Julia}
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\label{App:FromMatlab2Julia}
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\input{Chapters/ChapAppendixC.tex}
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\chapter{From C++ to Julia}
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\label{App:FromC2Julia}
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% \usepackage{multirow}
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% \usepackage[table,xcdraw]{xcolor}
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% \usepackage{longtable}
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\input{Chapters/ChapAppendixD.tex}
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\chapter{Creating Your Own Local Julia Installation}
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\label{App:MyOwnJulia}
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\input{Chapters/ChapAppendixE.tex}
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\end{document}
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