<p><span style="text-decoration:underline;">Outline</span>: </p>
<ol>
<li>Univariate and Multivariate Polynomials</li>
<li>Geometry, Algebra, and Algorithms</li>
<li>Groebner Bases</li>
<li>Predictor-Corrector Methods</li>
<li>Homotopy Continuation Method </li>
</ol>
<p><span style="text-decoration:underline;">Objective</span>: </p>
<p>This class contains the theoretical and computational aspects of numerical polynomial algebra. We will study the classical and state-of-the-art methods. </p>

<p><span style="text-decoration:underline;">Textbook</span>:</p>
<ol>
<li>D. Cox, J. Little, and D. O' Shea, Ideals, Varieties, and Algorithms</li>
<li>Hans J. Stetter, Numerical Polynomial Algebra
</li>
</ol>