{"id":29,"date":"2013-05-22T18:55:10","date_gmt":"2013-05-22T18:55:10","guid":{"rendered":"http:\/\/homepages.se.edu\/cmoretti\/?page_id=29"},"modified":"2019-10-28T15:42:42","modified_gmt":"2019-10-28T15:42:42","slug":"mathematica-notebooks-standard-algebra","status":"publish","type":"page","link":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/","title":{"rendered":"Dr. Moretti’s Mathematica Notebooks – Standard Algebra"},"content":{"rendered":"

Mathematica Notebooks for Standard Algebra<\/h1>\n

Important Note:<\/span> The links for the notebooks open a new window or tab with a Google Drive page – the current settings for our homepages won’t allow me to host mathematica notebooks locally.<\/p>\n

Slope and Slope Intercept<\/h2>\n

This notebook contains two simple manipulations to illustrate the idea of the slope between two points and the slope-intercept form of a line.<\/p>\n

\"slopes\"<\/a><\/p>\n

Download this or my other algebra notebooks from Google Drive<\/a><\/p>\n

<\/h2>\n

Roots of Polynomials<\/h2>\n

This notebook has a manipulation which displays the complex roots of a polynomial graphically in the complex plane. \u00a0By changing the degree and selecting “Random Polynomial”, you can see the Fundamental Theorem of Algebra (a polynomial of degree n has n roots) and the Conjugate Theorem (if p(x) is a polynomial with real coefficients and a+bi<\/em> is a root, so is a-bi<\/em>). \u00a0Real roots are blue, nonreal roots in green.<\/p>\n

\"roots\"<\/a><\/p>\n

Download this or my other algebra notebooks from Google Drive<\/a><\/p>\n

<\/h2>\n

Multiplying Polynomials<\/h2>\n

This notebook demonstrates how to multiply two polynomials step by step.<\/p>\n

\"multiplyingpolynomials\"<\/a><\/p>\n

Download this or my other algebra notebooks from Google Drive<\/a><\/p>\n

<\/h2>\n

Solving Cubic Equations by Trisections<\/h2>\n

This notebook demonstrates the steps to solving a cubic equation geometrically by trisecting a particular angle. \u00a0You can find a version of this on the Wolfram Demonstrations Project<\/a>.<\/p>\n

\"cubicsbytrisection\"<\/a><\/p>\n

\n

Download this or my other algebra notebooks from Google Drive<\/a><\/p>\n

\n

Solving Cubic Equations by Common tangents<\/h2>\n

This notebook lets you (approximately) solve a cubic equation by trying to find a common tangent to two particular parabolas. \u00a0It’s based on an idea from David A. Cox’s excellent textbook Galois Theory<\/em>.<\/p>\n

\"cubicsbytangents\"<\/a><\/p>\n

\n

Download this or my other algebra notebooks from Google Drive<\/a><\/p>\n

Back to my Mathematica Library<\/a><\/p>\n

Back to my homepage<\/a><\/p>\n

Back to the Southeastern Main Page<\/a>\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"

Mathematica Notebooks for Standard Algebra Important Note: The links for the notebooks open a new window or tab with a Google Drive page – the current settings for our homepages […]<\/p>\n","protected":false},"author":24,"featured_media":0,"parent":19,"menu_order":0,"comment_status":"open","ping_status":"open","template":"page-templates\/page-with-sidebar.php","meta":{"footnotes":""},"class_list":["post-29","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nDr. Moretti's Mathematica Notebooks - Standard Algebra -<\/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.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dr. Moretti's Mathematica Notebooks - Standard Algebra -\" \/>\n<meta property=\"og:description\" content=\"Mathematica Notebooks for Standard Algebra Important Note: The links for the notebooks open a new window or tab with a Google Drive page – the current settings for our homepages […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/\" \/>\n<meta property=\"article:modified_time\" content=\"2019-10-28T15:42:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg\" \/>\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.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/\",\"url\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/\",\"name\":\"Dr. Moretti's Mathematica Notebooks - Standard Algebra -\",\"isPartOf\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg\",\"datePublished\":\"2013-05-22T18:55:10+00:00\",\"dateModified\":\"2019-10-28T15:42:42+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#primaryimage\",\"url\":\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg\",\"contentUrl\":\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.se.edu\/cmoretti\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Dr. Moretti’s Mathematica Notebook Library\",\"item\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Dr. Moretti’s Mathematica Notebooks – Standard Algebra\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.se.edu\/cmoretti\/#website\",\"url\":\"https:\/\/www.se.edu\/cmoretti\/\",\"name\":\"\",\"description\":\"Just another Southeastern Oklahoma State Sites site\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.se.edu\/cmoretti\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Dr. Moretti's Mathematica Notebooks - Standard Algebra -","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.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/","og_locale":"en_US","og_type":"article","og_title":"Dr. Moretti's Mathematica Notebooks - Standard Algebra -","og_description":"Mathematica Notebooks for Standard Algebra Important Note: The links for the notebooks open a new window or tab with a Google Drive page – the current settings for our homepages […]","og_url":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/","article_modified_time":"2019-10-28T15:42:42+00:00","og_image":[{"url":"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/","url":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/","name":"Dr. Moretti's Mathematica Notebooks - Standard Algebra -","isPartOf":{"@id":"https:\/\/www.se.edu\/cmoretti\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#primaryimage"},"image":{"@id":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#primaryimage"},"thumbnailUrl":"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg","datePublished":"2013-05-22T18:55:10+00:00","dateModified":"2019-10-28T15:42:42+00:00","breadcrumb":{"@id":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#primaryimage","url":"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg","contentUrl":"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/slopes.jpg"},{"@type":"BreadcrumbList","@id":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-standard-algebra\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.se.edu\/cmoretti\/"},{"@type":"ListItem","position":2,"name":"Dr. Moretti’s Mathematica Notebook Library","item":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/"},{"@type":"ListItem","position":3,"name":"Dr. Moretti’s Mathematica Notebooks – Standard Algebra"}]},{"@type":"WebSite","@id":"https:\/\/www.se.edu\/cmoretti\/#website","url":"https:\/\/www.se.edu\/cmoretti\/","name":"","description":"Just another Southeastern Oklahoma State Sites site","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.se.edu\/cmoretti\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/pages\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/users\/24"}],"replies":[{"embeddable":true,"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":1,"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/pages\/29\/revisions"}],"predecessor-version":[{"id":464,"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/pages\/29\/revisions\/464"}],"up":[{"embeddable":true,"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/pages\/19"}],"wp:attachment":[{"href":"https:\/\/www.se.edu\/cmoretti\/wp-json\/wp\/v2\/media?parent=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}