In the <b>first semester</b> the module covers<br><br>
<ul><li> Elementary number theory (8 lectures),</li>
<li> Matrix arithmetic (8 lectures),</li>
<li> Eigenvalues and vectors for 2x2 matrices (8 lectures),</li>
<li> Limits and continuity (8 lectures),</li>
<li> The derivative of a function (8 lectures),</li>
<li> The anti-derivative of a function (8 lectures),</li>

and explains how these six topics can be applied to<br><br>
<li> cryptography,</li>
<li> geometry/computer graphics,</li>
<li> Google page rank,</li>
<li> existence of antipodal positions on the Earth's surface with equal air pressure,</li>
<li> rates of change problems and maximization problems,</li>
<li> prediction of how the world population of humans will grow.</li></ul>