Mathematics: Ordinary Differential Equations 2

<p>This course builds on previous studies in ordinary differential equations and aims to provide a deeper understanding of the theory and methods in the field. It also develops the student's ability to apply this knowledge to problems arising in other scientific disciplines, making it particularly relevant for continued studies and research in engineering, natural sciences, and applied mathematics.</p><p>The course treats:</p> <ul> <li>Linear systems of ordinary differential equations in the complex plane. Power series solutions.</li> <li>Singular points.</li> <li>Frobenius method.</li> <li>Some classical differential equations and special functions.</li> <li>Boundary value problems.</li> <li>Eigenfunction expansions. Spectral theorem.</li> <li>Sturm-Liouville theory.</li> </ul>