{"id":29,"date":"2014-06-13T03:39:59","date_gmt":"2014-06-13T03:39:59","guid":{"rendered":"http:\/\/www.jamesrising.net\/blog\/?p=29"},"modified":"2014-06-13T03:39:59","modified_gmt":"2014-06-13T03:39:59","slug":"a-foundation-for-environment-science","status":"publish","type":"post","link":"http:\/\/www.jamesrising.net\/blog\/?p=29","title":{"rendered":"A Foundation for Environment Science"},"content":{"rendered":"<p>A team of us students in the sustainable development program are trying to revamp our core science course. For a group of mathematically sophisticated, intellectually bold, and cutting-edge-research-focused people, our current &#8220;introduction&#8221; to science is far too lax and disorganized. We want to put it on surer ground.<\/p>\n<p>The class needs to go into quite a few topics; minimally, it needs to include climate, hydrology, ecology, and public health. Disasters, energy, rocks and soils, and agriculture would be nice too.<\/p>\n<p>The goal of the class is to prepare us to struggle through any sequence of PhD-level classes in a science of our choice, and to let us engage academic papers written by, well, anyone. The first response that we got from the Earth Institute post-docs, when we asked their advice, was that a class like this is impossible. But then, we&#8217;ve been doing exactly that with far worse for years.<\/p>\n<p>We decided that we should start the first class with Thermodynamics, as a foundation for the rest. I&#8217;m in charge of writing up the topics for that day.\u00a0 I think there are a few other pieces that are similarly foundational to all environmental science: dimensionality, stocks and flows, equilibria, industrial ecology, and path-dependence.\u00a0 I&#8217;m not sure how it all fits together, but here&#8217;s what I&#8217;ve got so far.<\/p>\n<p>Dimensionality<\/p>\n<ul>\n<li>Pi-Products<\/li>\n<\/ul>\n<p>Thermodynamics<\/p>\n<ul>\n<li>Foundations\n<ul>\n<li>Forms of Energy<\/li>\n<li>Principle of least action<\/li>\n<li>Lagrangian Dynamics<\/li>\n<li>Noether\u2019s Theorem<\/li>\n<li>Path-dependent derivative<\/li>\n<\/ul>\n<\/li>\n<li>First Law\n<ul>\n<li>Energy Conservation<\/li>\n<li>Thermal energy and temperature<\/li>\n<li>Thermal energy transfer<\/li>\n<li>Temperature and phase changes<\/li>\n<\/ul>\n<\/li>\n<li>Second Law\n<ul>\n<li>Entropy<\/li>\n<li>Equilibrium<\/li>\n<li>Irreversibility<\/li>\n<li>Fundamental Equation and its derivatives<\/li>\n<li>Legendre Transforms<\/li>\n<\/ul>\n<\/li>\n<li>Terminology:\n<ul>\n<li>system, boundary, environment, primitive properties, derived properties, thermometric temperature, event interaction, adiabatic, diathermal, phase, restraint, thermodynamic processes, path and state<\/li>\n<li>open, closed and isolated system<\/li>\n<\/ul>\n<\/li>\n<li>Topics to leave out:\n<ul>\n<li>Enthalpy, work, 3rd law of thermo<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Stocks and Flows<\/p>\n<ul>\n<li>Industrial Ecology<\/li>\n<li>Emergy<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A team of us students in the sustainable development program are trying to revamp our core science course. For a group of mathematically sophisticated, intellectually bold, and cutting-edge-research-focused people, our current &#8220;introduction&#8221; to science is far too lax and disorganized. We want to put it on surer ground. The class needs to go into quite &hellip; <a href=\"http:\/\/www.jamesrising.net\/blog\/?p=29\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">A Foundation for Environment Science<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-29","post","type-post","status-publish","format-standard","hentry","category-teaching"],"_links":{"self":[{"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=29"}],"version-history":[{"count":1,"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/29\/revisions"}],"predecessor-version":[{"id":30,"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/29\/revisions\/30"}],"wp:attachment":[{"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=29"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=29"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.jamesrising.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}