{"id":154,"date":"2019-07-29T11:29:26","date_gmt":"2019-07-29T16:29:26","guid":{"rendered":"https:\/\/www.trincoll.edu\/mathematics\/?page_id=154"},"modified":"2019-07-29T11:34:30","modified_gmt":"2019-07-29T16:34:30","slug":"learning-goals","status":"publish","type":"page","link":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/","title":{"rendered":"Learning Goals"},"content":{"rendered":"<p>Students will demonstrate proficiency in the following areas of mathematics:<\/p>\n<ol>\n<li>Calculus<\/li>\n<li>Linear Algebra<\/li>\n<li>Abstract Algebra<\/li>\n<li>Real Analysis<\/li>\n<\/ol>\n<p>Students will demonstrate proficiency in a variety of mathematical disciplines among the elective courses.<\/p>\n<h3>Writing Goals<\/h3>\n<p>Students will demonstrate their ability to write mathematics by producing proofs that are logically correct and written in clear, concise English .<\/p>\n<h3>Mastery Goals<\/h3>\n<p>Students will demonstrate the following skills:<\/p>\n<ol>\n<li>Understand and use the basics of mathematical logic.<\/li>\n<li>Understand and apply a formal definition of a mathematical object, such as a group or a continuous function.<\/li>\n<li>Be able to prove results using a variety of proof techniques, including direct proofs and proofs by contradiction, contraposition, and induction.<\/li>\n<li>Solve problems by applying known results and techniques in a new context.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Students will demonstrate proficiency in the following areas of mathematics: Calculus Linear Algebra Abstract Algebra Real Analysis Students will demonstrate proficiency in a variety of mathematical disciplines among the elective courses. Writing Goals Students will demonstrate their ability to write mathematics by producing proofs that are logically correct and written in clear, concise English . [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":7,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-154","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.5 (Yoast SEO v25.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Learning Goals - Mathematics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Learning Goals\" \/>\n<meta property=\"og:description\" content=\"Students will demonstrate proficiency in the following areas of mathematics: Calculus Linear Algebra Abstract Algebra Real Analysis Students will demonstrate proficiency in a variety of mathematical disciplines among the elective courses. Writing Goals Students will demonstrate their ability to write mathematics by producing proofs that are logically correct and written in clear, concise English . [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematics\" \/>\n<meta property=\"article:modified_time\" content=\"2019-07-29T16:34:30+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/\",\"url\":\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/\",\"name\":\"Learning Goals - Mathematics\",\"isPartOf\":{\"@id\":\"https:\/\/www.trincoll.edu\/mathematics\/#website\"},\"datePublished\":\"2019-07-29T16:29:26+00:00\",\"dateModified\":\"2019-07-29T16:34:30+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.trincoll.edu\/mathematics\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Learning Goals\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.trincoll.edu\/mathematics\/#website\",\"url\":\"https:\/\/www.trincoll.edu\/mathematics\/\",\"name\":\"Mathematics\",\"description\":\"Department of Mathematics at Trinity College\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.trincoll.edu\/mathematics\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Learning Goals - Mathematics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/","og_locale":"en_US","og_type":"article","og_title":"Learning Goals","og_description":"Students will demonstrate proficiency in the following areas of mathematics: Calculus Linear Algebra Abstract Algebra Real Analysis Students will demonstrate proficiency in a variety of mathematical disciplines among the elective courses. Writing Goals Students will demonstrate their ability to write mathematics by producing proofs that are logically correct and written in clear, concise English . [&hellip;]","og_url":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/","og_site_name":"Mathematics","article_modified_time":"2019-07-29T16:34:30+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/","url":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/","name":"Learning Goals - Mathematics","isPartOf":{"@id":"https:\/\/www.trincoll.edu\/mathematics\/#website"},"datePublished":"2019-07-29T16:29:26+00:00","dateModified":"2019-07-29T16:34:30+00:00","breadcrumb":{"@id":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.trincoll.edu\/mathematics\/learning-goals\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.trincoll.edu\/mathematics\/"},{"@type":"ListItem","position":2,"name":"Learning Goals"}]},{"@type":"WebSite","@id":"https:\/\/www.trincoll.edu\/mathematics\/#website","url":"https:\/\/www.trincoll.edu\/mathematics\/","name":"Mathematics","description":"Department of Mathematics at Trinity College","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.trincoll.edu\/mathematics\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/pages\/154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=154"}],"version-history":[{"count":0,"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/pages\/154\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.trincoll.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}