https://mathresearch.utsa.edu/wiki/index.php?action=history&feed=atom&title=MAT_5653 2026-08-26T18:47:13Z Revision history for this page on the wiki MediaWiki 1.34.1 https://mathresearch.utsa.edu/wiki/index.php?title=MAT_5653&diff=4817&oldid=prev 2023-03-14T14:05:00Z

<p>Created page with &quot;==Topics List== {| class=&quot;wikitable sortable&quot; ! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes |- |Week 1 || * || Basic Concepts of Ordinary D...&quot;</p> <p><b>New page</b></p><div>==Topics List==<br /> {| class=&quot;wikitable sortable&quot;<br /> ! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes<br /> |-<br /> |Week 1<br /> ||<br /> * <br /> ||<br /> Basic Concepts of Ordinary Differential Equations<br /> ||<br /> <br /> ||<br /> * <br /> |-<br /> |Week 2<br /> ||<br /> * <br /> ||<br /> Equilibrium Points, Phase Plane<br /> ||<br /> <br /> ||<br /> * <br /> |-<br /> |Week 3<br /> ||<br /> * <br /> ||<br /> ODE Models in Science and Engineering<br /> ||<br /> <br /> ||<br /> <br /> |-<br /> |Week 4<br /> ||<br /> * <br /> ||<br /> Picard-Lindeloef Theorem and Applications<br /> ||<br /> <br /> ||<br /> * Picard Iteration, Contraction<br /> |-<br /> |Week 5<br /> ||<br /> * <br /> ||<br /> Peano Theorem<br /> ||<br /> <br /> ||<br /> * <br /> |-<br /> |Week 6<br /> ||<br /> * <br /> ||<br /> Dependence of Solutions on Initial Values, Maximal Interval of Existence<br /> ||<br /> <br /> ||<br /> * <br /> |-<br /> |Week 7<br /> ||<br /> * <br /> ||<br /> Conservative Systems<br /> ||<br /> <br /> ||<br /> * <br /> |-<br /> |Week 8<br /> ||<br /> * <br /> ||<br /> Linear Systems and Exponentials<br /> ||<br /> * <br /> ||<br /> * <br /> |-<br /> |Week 9<br /> ||<br /> * <br /> ||<br /> Stable Manifold Theorem<br /> ||<br /> * <br /> ||<br /> * <br /> |-<br /> |Week 10<br /> ||<br /> * <br /> ||<br /> Hartman-Grobman Theorem<br /> ||<br /> <br /> ||<br /> * <br /> |-<br /> |Week 11<br /> ||<br /> * <br /> ||<br /> Stability and Lyapunov functions<br /> ||<br /> * <br /> ||<br /> * <br /> |-<br /> |Week 12<br /> ||<br /> * <br /> ||<br /> Introduction to Bifurcation Theory/Hopf Bifurcation<br /> ||<br /> * <br /> ||<br /> * <br /> |-<br /> |Week 13<br /> ||<br /> * <br /> ||<br /> Epidemic and Population Models<br /> ||<br /> * <br /> ||<br /> * <br /> |-<br /> |Week 14<br /> ||<br /> * <br /> ||<br /> Review, advanced topics<br /> ||<br /> * <br /> ||<br /> * <br /> |}</div>

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