{"id":50,"date":"2025-09-17T10:00:43","date_gmt":"2025-09-17T08:00:43","guid":{"rendered":"https:\/\/clases.jesussoto.es\/?p=50"},"modified":"2025-09-16T19:21:49","modified_gmt":"2025-09-16T17:21:49","slug":"mathbio-presentacion","status":"publish","type":"post","link":"https:\/\/clases.jesussoto.es\/?p=50","title":{"rendered":"MathBio: Presentaci\u00f3n"},"content":{"rendered":"<p>En la presentaci\u00f3n de la asignatura, Matem\u00e1ticas aplicadas a la biotecnolog\u00eda, tratamos:<\/p>\n<ul>\n<li>Presentaci\u00f3n<\/li>\n<li>Objetivos de la asignatura<\/li>\n<li>Metodolog\u00eda y Evaluaci\u00f3n<\/li>\n<li>Pr\u00e1cticas<\/li>\n<li>Bibliograf\u00eda<\/li>\n<\/ul>\n<h3>Objetivos, Metodolog\u00eda y Evaluaci\u00f3n<\/h3>\n<p>Se detallan en la gu\u00eda que pod\u00e9is encontrar en gu\u00eda de Grado.<\/p>\n<h2>Maxima<\/h2>\n<p>Las pr\u00e1cticas la realizaremos con Maxima, un sistema para la manipulaci\u00f3n de expresiones simb\u00f3licas y num\u00e9ricas. Esta herramienta inform\u00e1tica  nos ayudar\u00e1 a resolver problemas de la asignatura de forma sencilla y aplicada.<\/p>\n<p>El sitio de descargas est\u00e1 en siguiente enlace <a href=\"https:\/\/maxima.sourceforge.io\/es\/download.html\" target=\"_blank\" rel=\"noopener\">descarga maxima<\/a>. Aunque pod\u00e9is trabajar con \u00e9l, hay un entorno, muy intuitivo y c\u00f3modo que ser\u00e1 con el que trabajaremos <a href=\"http:\/\/wxmaxima-developers.github.io\/wxmaxima\/\" target=\"_blank\" rel=\"noopener\">wxMaxima<\/a> (si ten\u00e9is problemas con esa versi\u00f3n, hay una versi\u00f3n para windows en <a href=\"https:\/\/wolfgang.dautermann.at\/maxima\/nightlybuild\/\" rel=\"noopener\" target=\"_blank\">https:\/\/wolfgang.dautermann.at\/maxima\/nightlybuild\/<\/a>), con una colecci\u00f3n amplia de men\u00fas en los que, agrupados por tem\u00e1ticas, se recogen las operaciones m\u00e1s habituales, de suerte que el usuario principiante no necesita recordar los comandos, aunque os aconsejo tenerlos a mano. Con wxMaxima podremos resolver nuestras pr\u00e1cticas y presentar los resultados de forma m\u00e1s sencilla.<\/p>\n<figure style=\"width: 459px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" fetchpriority=\"high\" class=\"\" src=\"http:\/\/wxmaxima-developers.github.io\/wxmaxima\/images\/linux_5.png\" alt=\"interface for the computer algebra system Maxima\" width=\"459\" height=\"269\" \/><figcaption class=\"wp-caption-text\">wxMaxima is a document based interface for the computer algebra system Maxima. wxMaxima provides menus and dialogs for many common maxima commands, autocompletion, inline plots and simple animations. wxMaxima is distributed under the GPL license.<\/figcaption><\/figure>\n<p>En la web de maxima dispon\u00e9is de documentaci\u00f3n, <a href=\"https:\/\/maxima.sourceforge.io\/docs\/manual\/es\/maxima.html\" target=\"_blank\">https:\/\/maxima.sourceforge.io\/docs\/manual\/es\/maxima.html<\/a>. Nosotros no veremos todos los comandos y funciones, solo utilizaremos los que mostremos en los ejercicios. Tambi\u00e9n, encontrar\u00e9is bastante material, aparte del que os proporcionaremos, como el del profesor Jeronimo Alaminos et al, <a href=\"http:\/\/www.ugr.es\/~fjperez\/textos\/Practicas%20con%20wxMaxima.pdf\" target=\"_blank\" rel=\"noopener\">Pr\u00e1cticas de ordenador con Maxima<\/a>, un valioso documento para la iniciaci\u00f3n. O la web del excelente profesor Jos\u00e9 Manuel Mira Ros(del que tengo un grato recuerdo) con su <a href=\"https:\/\/webs.um.es\/mira\/maxima\/manualico.php\" target=\"_blank\" rel=\"noopener\">manualico<\/a>, que os ser\u00e1 de tremenda ayuda.<\/p>\n<hr \/>\n<h3>Bibliograf\u00eda<\/h3>\n<ul>\n<li>Arriaza G\u00f3mez A. J., del \u00c1guila Garrido L., Rambla Barreno F., Redondo Neble M. V., Rodr\u00edguez Galv\u00e1n J. R., Viglialoro G. Manual de pr\u00e1cticas de Matem\u00e1ticas con M\u00e1xima. C\u00e1diz: Editorial UCA; 2015.<\/li>\n<\/ul>\n<h1>Bibliogr\u00e1fica<\/h1>\n<p>B\u00e1sica<\/p>\n<ul>\n<li>James Stewart, Troy Day, Biocalculus: Calculus for Life Sciences, 1st Edition, 2015<\/li>\n<\/ul>\n<p><img decoding=\"async\" fetchpriority=\"high\" class=\"size-medium wp-image-98 aligncenter\" src=\"http:\/\/uploads.jesussoto.es\/biocalculus-258x300-1.jpg\" alt=\"\" width=\"258\" height=\"300\" class=\"alignnone size-full wp-image-36\" \/><\/p>\n<p>Aconsejable<\/p>\n<ul>\n<li>Luis. E. Sola, Introducci\u00f3n a los m\u00e9todos matem\u00e1ticos en biolog\u00eda y ciencias ambientales, Paraninfo, 2016, ISBN 13:9788428338301<\/li>\n<li>\u00c1lgebra lineal y sus aplicaciones. 5\u00ba edici\u00f3n, David C. Lay. Pearson. 2016.<\/li>\n<li>Juan De Burgos Rom\u00e1n, Matem\u00e1ticas. C\u00e1lculo y \u00e1lgebra, Garc\u00eda Maroto Editores, 2011<\/li>\n<li>Alfredo Gonzales, Matem\u00e1tica aplicada (Ciencias de la Salud), Garc\u00eda Maroto Editores, 2008<\/li>\n<li>Hadeler, K.P. Matem\u00e1ticas para Bi\u00f3logos. Revert\u00e9, Barcelona, 1982<\/li>\n<li>James Stewart, CALCULO CONCEPTOS Y CONTEXTOS: UNA VARIABLE (4\u00ba ED.), CENGAGE, 2011<\/li>\n<li>James Stewart, CALCULO CONCEPTOS Y CONTEXTOS VARIAS VARIABLES (4\u00ba ED.), CENGAGE, 2018<\/li>\n<\/ul>\n<h1>Ejercicios de repaso<\/h1>\n<p>Veamos algunos ejercicios que nos servir\u00e1n de repaso para adentrarnos en los temas que daremos.<\/p>\n<blockquote>\n<p><strong>Ejercicio:<\/strong> Resolver el determinante real \\[\\begin{bmatrix}0&#038;c&#038;b\\\\ -c&#038;0&#038;a \\\\ -b&#038;-a&#038;0\\end{bmatrix}\\]<\/p>\n<\/blockquote>\n<p><script>\nfunction showHtmlDiv1e() {\n  var htmlShow1e = document.getElementById(\"html-show1e\");\n  if (htmlShow1e.style.display === \"none\") {\n    htmlShow1e.style.display = \"block\";\n  } else {\n    htmlShow1e.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<p><button onclick=\"showHtmlDiv1e()\">Soluci\u00f3n:<\/button><\/p>\n<div id=\"html-show1e\" style=\"display: none;\">\n<iframe loading=\"lazy\" title=\"\u00c1lgebra Lineal - Determinantes. Ej.6 - Jes\u00fas Soto\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/ugcUPz_p1dE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div>\n<hr \/>\n<blockquote>\n<p><strong>Ejercicio:<\/strong> Determinar si \\(\\mathcal{U}=\\{(x,y,z)\\in\\mathbb{R}^3;\\ x+y=z\\}\\) es un subespacio vectorial.<\/p>\n<\/blockquote>\n<p><script>\nfunction showHtmlDiv1q() {\n  var htmlShow1q = document.getElementById(\"html-show1q\");\n  if (htmlShow1q.style.display === \"none\") {\n    htmlShow1q.style.display = \"block\";\n  } else {\n    htmlShow1q.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<p><button onclick=\"showHtmlDiv1q()\">Soluci\u00f3n:<\/button><\/p>\n<div id=\"html-show1q\" style=\"display: none;\">\n<iframe loading=\"lazy\" title=\"\u00c1lgebra Lineal - Subespacio vectorial. Ej.5 - Jes\u00fas Soto\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/F9XM5pIdbz4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div>\n<hr \/>\n<blockquote>\n<p><strong>Ejercicio:<\/strong> Estudiar la continuidad de la funci\u00f3n real de una variable real dada por \\[f(x)=\\left\\{\\begin{array}{cc}\\dfrac{x-|x|}{x}, &#038; x\\neq0\\\\ 0,&#038; x=0\\end{array}\\right.\\] <\/p>\n<\/blockquote>\n<p><script>\nfunction showHtmlDiv124e32() {\n  var htmlShow124e32 = document.getElementById(\"html-show124e32\");\n  if (htmlShow124e32.style.display === \"none\") {\n    htmlShow124e32.style.display = \"block\";\n  } else {\n    htmlShow124e32.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<p><button onclick=\"showHtmlDiv124e32()\">Soluci\u00f3n:<\/button><\/p>\n<div id=\"html-show124e32\" style=\"display: none;\">\n<iframe loading=\"lazy\" title=\"C\u00e1lculo - Continuidad - Jes\u00fas Soto Espinosa\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/R9kwSwIqKF4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div>\n<hr \/>\n<blockquote>\n<p><strong>Ejercicio:<\/strong> Calcular \\[\\lim_{x\\to0^+}\\left(\\frac{1}{x}-\\frac{1}{\\sin x}\\right)\\]<\/p>\n<\/blockquote>\n<p><script>\nfunction showHtmlDiv1w() {\n  var htmlShow1w = document.getElementById(\"html-show1w\");\n  if (htmlShow1w.style.display === \"none\") {\n    htmlShow1w.style.display = \"block\";\n  } else {\n    htmlShow1w.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<p><button onclick=\"showHtmlDiv1w()\">Soluci\u00f3n:<\/button><\/p>\n<div id=\"html-show1w\" style=\"display: none;\">\n<iframe loading=\"lazy\" title=\"C\u00e1lculo - Regla de L\u00b4H\u00f4pital. Ej. L01P19 - Jes\u00fas Soto\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/ZquzaUL_TJI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div>\n<hr \/>\n<blockquote>\n<p><strong>Ejercicio:<\/strong> Calcular \\[\\int_0^{\\frac{\\pi}{4}} e^{\\cos x}\\sin x\\ dx\\]<\/p>\n<\/blockquote>\n<p><script>\nfunction showHtmlDiv1w2() {\n  var htmlShow1w2 = document.getElementById(\"html-show1w2\");\n  if (htmlShow1w2.style.display === \"none\") {\n    htmlShow1w2.style.display = \"block\";\n  } else {\n    htmlShow1w2.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<p><button onclick=\"showHtmlDiv1w2()\">Soluci\u00f3n:<\/button><\/p>\n<div id=\"html-show1w2\" style=\"display: none;\">\n<iframe loading=\"lazy\" title=\"Matem\u00e1tica aplicada con maxima - Integral definida  Ejercicio 2 - Jes\u00fas Soto\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/Ee68ptSzClc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>En la presentaci\u00f3n de la asignatura, Matem\u00e1ticas aplicadas a la biotecnolog\u00eda, tratamos: Presentaci\u00f3n Objetivos de la asignatura Metodolog\u00eda y Evaluaci\u00f3n Pr\u00e1cticas Bibliograf\u00eda Objetivos, Metodolog\u00eda y Evaluaci\u00f3n Se detallan en la gu\u00eda que&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-50","post","type-post","status-publish","format-standard","hentry","category-mathbio"],"_links":{"self":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/50","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=50"}],"version-history":[{"count":10,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/50\/revisions"}],"predecessor-version":[{"id":53,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/50\/revisions\/53"}],"wp:attachment":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=50"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=50"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=50"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}