Mathematical Physics I

Abstract

<p>This module deals with the mathematical elements essential to understanding physics courses, namely the study of real functions, derivation and integration of a function with one and several real variables, the development of a function, some elements of numerical calculations and, finally, solving a system of linear equations. Learning activities of different difficulty levels are developed with formal assess- ments. Moreover, online word and useful links enable students to study certain topics in detail. Finally, the students will also be able to use software such as “Microsoft Excel 2000” and “Maxima”.</p> <ul> <li><b>Analysis:</b>Limit and continuity of a function, derivative, extrema determination; Integration (Riemann, Improper, Indefinite)</li> <li><b>Series:</b>Infinite series, convergence tests, development of Taylor and Ma- cLaurin series</li> <li><b>Differential Calculus:</b> partial derivative, derivatives of implicit functions, total and exact differential</li> <li><b>Integration:</b> Integration on open and closed intervals, multiple integrals</li> <li><b>Numerical methods:</b> The gamma function, numerical evaluation of finite and infinite sum, numerical evaluation of an integral: the trapezoidal rule and Simpson’s rule</li> <li><b>Linear Algebra:</b> Matrix computations, determinant, solving a system of linear equations</li> </ul> <p> <b>In addition to downloading the files below, you can also view them directly:</b> </p> <ul> <li><a href="http://www.scribd.com/doc/48497259/Mathematical-Physics-1" target="_blank">The full module (Scribd)</a></li> </ul>