{"id":2210,"date":"2024-10-08T03:20:15","date_gmt":"2024-10-08T03:20:15","guid":{"rendered":"https:\/\/wordpress.rose-hulman.edu\/holden\/?page_id=2210"},"modified":"2024-11-04T01:15:41","modified_gmt":"2024-11-04T01:15:41","slug":"math-341-introduction-to-the-mathematics-of-computer-graphics","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/holden\/math-341-introduction-to-the-mathematics-of-computer-graphics\/","title":{"rendered":"Math 341: Introduction to the Mathematics of Computer Graphics"},"content":{"rendered":"<p>Spring 2024-2025<\/p>\n<p><strong>Prerequisite:<\/strong>\u00a0 MA221<br \/>\n<strong>Credits:<\/strong>\u00a0 4<br \/>\n<b>Instructor:<\/b> Joshua Holden<br \/>\n<b>Office:<\/b>\u00a0 FL107<br \/>\n<b>Office Phone:<\/b> 877-8320<br \/>\n<b>E-mail:<\/b> <a href=\"mailto:holden@rose-hulman.edu\"><code>holden@rose-hulman.edu<\/code><\/a><br \/>\n<b>Web Page:<\/b> <a href=\"http:\/\/www.rose-hulman.edu\/%7Eholden\"><code>http:\/\/www.rose-hulman.edu\/~holden<\/code><\/a><\/p>\n<p>Textbook:\u00a0 <a class=\"moz-txt-link-freetext\" href=\"https:\/\/bookstore.ams.org\/clrm-51\/\">https:\/\/bookstore.ams.org\/clrm-51\/<\/a><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"shrinkToFit\" src=\"https:\/\/ebus.ams.org\/ProductImages\/clrm-51-e-cov-1.jpg\" alt=\"https:\/\/ebus.ams.org\/ProductImages\/clrm-51-e-cov-1.jpg\" width=\"180\" height=\"257\" \/><\/p>\n<hr \/>\n<h3>Description<\/h3>\n<p><span class=\"productdetaildescription\"> The mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling<\/span>.\u00a0 We will be answering questions such as:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>How do artists build up realistic shapes from geometric primitives?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2239\" src=\"http:\/\/wordpress.rose-hulman.edu\/holden\/wp-content\/uploads\/sites\/63\/2024\/11\/glasses-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-content\/uploads\/sites\/63\/2024\/11\/glasses-300x225.jpg 300w, https:\/\/wordpress.rose-hulman.edu\/holden\/wp-content\/uploads\/sites\/63\/2024\/11\/glasses-700x525.jpg 700w, https:\/\/wordpress.rose-hulman.edu\/holden\/wp-content\/uploads\/sites\/63\/2024\/11\/glasses-768x576.jpg 768w, https:\/\/wordpress.rose-hulman.edu\/holden\/wp-content\/uploads\/sites\/63\/2024\/11\/glasses.jpg 800w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/li>\n<li>What computations is my computer doing when it generates a realistic image of my 3D scene?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2243\" src=\"http:\/\/wordpress.rose-hulman.edu\/holden\/wp-content\/uploads\/sites\/63\/2024\/11\/affine-space-translation-271x300.gif\" alt=\"\" width=\"271\" height=\"300\" \/><\/li>\n<li>What mathematical tools can I use to animate an object through space?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"604\" height=\"340\" src=\"https:\/\/www.youtube.com\/embed\/ebmzrEixIs0?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>Why do movies always look more realistic than video games?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"604\" height=\"340\" src=\"https:\/\/www.youtube.com\/embed\/hmfTCe1KDzw?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<div class=\"SnapLinksContainer\">\n<div class=\"SL_SelectionRect\">\n<div>\n<h5>Student Learning Objectives<\/h5>\n<p>MA 341 is a topics course in mathematical modeling.\u00a0 This quarter, we will be investigating models related to computer graphics and animation.\u00a0 After successfully completing the course, students will be able to:<\/p>\n<ul>\n<li>apply calculation and theoretical skill from coursework in, e.g., calculus to modeling computer graphics and animation.<\/li>\n<li>learn the basics of new material in, e.g., linear algebra and group theory as necessary for modeling computer graphics and animation.<\/li>\n<li>use computer graphics to visualize mathematical concepts.<\/li>\n<li>work independently and\/or in groups on learning and\/or developing models not covered in class.<\/li>\n<li>effectively communicate mathematical models in the form of papers and\/or presentations.<\/li>\n<\/ul>\n<\/div>\n<div><\/div>\n<div class=\"SL_SelectionLabel\">The class will be a mixture of lectures and projects, which will hopefully be inspired by student interest. There will be significant mathematical content, but there will also be hands-on demonstrations and room for creativity!<\/div>\n<\/div>\n<p><!-- Used for easily cloning the properly namespaced rect --><\/p>\n<\/div>\n<div class=\"SnapLinksContainer\">\n<div class=\"SL_SelectionRect\">\n<div class=\"SL_SelectionLabel\"><\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Spring 2024-2025 Prerequisite:\u00a0 MA221 Credits:\u00a0 4 Instructor: Joshua Holden Office:\u00a0 FL107 Office Phone: 877-8320 E-mail: holden@rose-hulman.edu Web Page: http:\/\/www.rose-hulman.edu\/~holden Textbook:\u00a0 https:\/\/bookstore.ams.org\/clrm-51\/ Description The mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling.\u00a0 We will be answering questions such as: How do artists build up realistic shapes from geometric primitives? What &hellip; <a href=\"https:\/\/wordpress.rose-hulman.edu\/holden\/math-341-introduction-to-the-mathematics-of-computer-graphics\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Math 341: Introduction to the Mathematics of Computer Graphics<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":938,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2210","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P8uE0W-zE","_links":{"self":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/2210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/users\/938"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/comments?post=2210"}],"version-history":[{"count":6,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/2210\/revisions"}],"predecessor-version":[{"id":2247,"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/pages\/2210\/revisions\/2247"}],"wp:attachment":[{"href":"https:\/\/wordpress.rose-hulman.edu\/holden\/wp-json\/wp\/v2\/media?parent=2210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}