Here are some course notes that I wrote up for MATH3963: Nonlinear ODEs with Applications. 

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    <h3><a href="Part-1.pdf">Part I - Linear ODES</a> <br>
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<!--    <blockquote> <h4> Classification of 2D Linear Systems. </h4> These figures accompany 
    Part I. 
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    <h3><a href="taudelta1.pdf">taudelta1</a> <br>
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    <h3><a href="taudelta2.pdf">taudelta2</a> <br>
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    <h3><a href="taudelta3.pdf">taudelta3</a> <br>
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    <h3><a href="taudelta4.pdf">taudelta4</a> <br>
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    <h3><a href="Part-2.pdf">Part II - Existence and Uniqueness</a> <br>
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    <h3><a href="Part-3.pdf">Part III - Nonlinear ODEs</a> <br>
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    <h3><a href="Index Theorey Lecture Notes.pdf">Index Theory Lecture Notes</a> <br>
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    <h3><a href="Part-4.pdf">Part IV - Introduction to Bifurcation Theory</a> <br>
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    <h3><a href="BonusBifurcationTheoryExamples.pdf">More Bifurcation Examples</a> <br>
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