{"id":391,"date":"2023-11-22T13:47:37","date_gmt":"2023-11-22T13:47:37","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=391"},"modified":"2026-02-12T19:49:32","modified_gmt":"2026-02-12T19:49:32","slug":"math-242-calculus-4-chapter-1","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-242-calculus-4-chapter-1\/","title":{"rendered":"Math 242 Calculus 4 Chapter 1"},"content":{"rendered":"\n<p>Section 1.1&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/RVjQ4vUQ0\">Differential Equations and Mathematical Models<\/a><br>&nbsp;&nbsp;&nbsp;&nbsp;<a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQAGUL_lYU3QRbF0Cv35SWzpAU0PVOP2HOIj78sWqzJoHp8?e=kqcyBn\">worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQAGUL_lYU3QRbF0Cv35SWzpAU0PVOP2HOIj78sWqzJoHp8?e=kqcyBn\" target=\"_blank\" rel=\"noreferrer noopener\">Differential Equations and Mathematical Models<\/a><\/p>\n\n\n\n<p>Section 1.2&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/m4PkyPWj2YJ\">Integrals<\/a><br>&nbsp;&nbsp;&nbsp;&nbsp;<a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQATjUHq7lPuRb11a_2PREbsAQpur-E8M_k7dn-dAVieYj4?e=eDuXC0\">worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQATjUHq7lPuRb11a_2PREbsAQpur-E8M_k7dn-dAVieYj4?e=eDuXC0\" target=\"_blank\" rel=\"noreferrer noopener\">Integrals<\/a><\/p>\n\n\n\n<p>Section 1.3\u00a0<a href=\"http:\/\/www.screencast.com\/t\/pAnUcuebdB\">Slope Fields<\/a><br>\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/k0455005_kellogg_edu\/Documents\/work\/242%20WS%201.3.pdf\">worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/k0455005_kellogg_edu\/IQBMPsqHS-o4Q5xZIwVLkKitAdZsEU1PKbmcabBfsjPsp0s?e=CpaUmb\" target=\"_blank\" rel=\"noreferrer noopener\">Slope Fields<\/a><\/p>\n\n\n\n<p>Section 1.4\u00a0<a href=\"http:\/\/www.screencast.com\/t\/WLlqaMlBdhjF\">Separable Equations<\/a><br>\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/k0455005_kellogg_edu\/Documents\/work\/242%20WS%201.4.pdf\">worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/k0455005_kellogg_edu\/IQDUugV-FDFuSqOVfahrNodGAYQ1OmBFWywRH6m0RVN8fwM?e=CIb8mq\" target=\"_blank\" rel=\"noreferrer noopener\">Separable Equations<\/a><\/p>\n\n\n\n<p>Section 1.5\u00a0<a href=\"http:\/\/www.screencast.com\/t\/DCzW6mZMmxrt\">Integrating factor<\/a><br>\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/kellogg0-my.sharepoint.com\/personal\/k0455005_kellogg_edu\/Documents\/work\/242%20WS%201.5.pdf\">worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/k0455005_kellogg_edu\/IQAv-SxfDWlkSpuhHWf4zAVkAVuNTFyOkrH-O_cawvKbGX4?e=ZGngFU\" target=\"_blank\" rel=\"noreferrer noopener\">Integrating factor<\/a><\/p>\n\n\n\n<p>Section 1.6&nbsp;<a href=\"http:\/\/www.screencast.com\/t\/rc2KHFG2h\">Homogeneous equations<\/a><br>&nbsp;&nbsp;&nbsp;&nbsp;<a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQCopMBTrJpSS7hmgW7W6oEgAdr0IrBxSdKimcNrNPJSBTc?e=e41KuX\">worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/IQCopMBTrJpSS7hmgW7W6oEgAdr0IrBxSdKimcNrNPJSBTc?e=e41KuX\" target=\"_blank\" rel=\"noreferrer noopener\">Homogeneous equations<\/a><\/p>\n\n\n\n<p>HW:<\/p>\n\n\n\n<p>Read Section 1.1 and do the following problems:&nbsp;3, 4, 5, 7, 9, 12, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45<\/p>\n\n\n\n<p>Read Section 1.2 and do the following problems: 4, 5, 8, 9, 10, 11, 15, 16, 18, 19, 21, 22, 24, 25, 26, 29, 31, 33, 35, 37<\/p>\n\n\n\n<p>Read Section 1.3 and do the following problems: 1-21 odds<\/p>\n\n\n\n<p>Read Section 1.4 and do the following problems: 5, 8, 9, 10, 15, 17, 18, 19, 20, 22, 23, 24, 25, 27, 28, 33, 35, 43, 54, 55<\/p>\n\n\n\n<p>Read Section 1.5 and do the following problems:&nbsp; 2, 5, 8, 10, 11, 15, 17, 19, 20, 23, 25, 27, 28<\/p>\n\n\n\n<p>Read Section 1.6 and do the following problems:&nbsp;&nbsp;1, 3, 4, 5, 7, 8, 11, 13, 17, 19, 21, 29, 33, 36, 37, 43, 44, 47, 49, 51<\/p>\n\n\n\n<p><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-242-calculus-4-differential-equations-and-linear-algebra\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s MATH 242 page<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/mathematics-professor-anna-cox\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s home page<\/a><\/p>\n\n\n\n<p>Return to&nbsp;<em><a href=\"http:\/\/www.kellogg.edu\/\">Kellogg Community College<\/a><\/em><\/p>\n\n\n\n<p>Questions asked by students<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/UR9viwwlq\">Normal Line 1-1-29<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/vX83KNqRuGtS\">Rodent Problem 1-1-45<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/z6BCd6ri\">1.2.15 initial value problem (4th edition)<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/R6i6Jfim04\">1.2.24 velocity problem (4th edition)<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/Z151tNb57jqO\">Separable equation 1-4-19<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/A9CijHLjAs\">Separable equation 1-4-22<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/X91FNVBpLw\">Separable equation 1-4-23<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/iwVrcdjm\">linear first order equation 1-5-11<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/onSSLDou\">Initial Value Problem 1-5-25<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/9rORtUlGsv\">Example of dx\/dy 1-5-27<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/GvFXUVhQ\">dx in Terms of dy 1-5-28<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/BwWoabwnQff\">V Substitution 1-6-13<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/rAaElYME\">Double Substitution 1-6-14<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/8ab4BKfxhpT\">A Different Substitution 1-6-16<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/f9bUXqwf\">Bernoulli Equation 1-6-20<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/d3zmqR6TO\">Homogenous Example with a y Term 1-6-49<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/o1zPsFfu\">Homogenous Example with an x Term 1-6-50<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/ETY3zeTxi\">Homogenous Example with a y Term 1-6-52<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/9WiLZpNpZSGz\">Homogenous Example with a y Term 1-6-54<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Section 1.1&nbsp;Differential Equations and Mathematical Models&nbsp;&nbsp;&nbsp;&nbsp;worksheet &#8211; Differential Equations and Mathematical Models Section 1.2&nbsp;Integrals&nbsp;&nbsp;&nbsp;&nbsp;worksheet &#8211; Integrals Section 1.3\u00a0Slope Fields\u00a0\u00a0\u00a0\u00a0worksheet &#8211; Slope Fields Section 1.4\u00a0Separable Equations\u00a0\u00a0\u00a0\u00a0worksheet &#8211; Separable Equations Section 1.5\u00a0Integrating factor\u00a0\u00a0\u00a0\u00a0worksheet &#8211; Integrating factor Section 1.6&nbsp;Homogeneous equations&nbsp;&nbsp;&nbsp;&nbsp;worksheet &#8211; Homogeneous equations HW: Read Section 1.1 and do the following problems:&nbsp;3, 4, 5, 7, 9, 12, 15,&hellip; <a class=\"more-link\" href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-242-calculus-4-chapter-1\/\">Continue reading <span class=\"screen-reader-text\">Math 242 Calculus 4 Chapter 1<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-391","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/391"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=391"}],"version-history":[{"count":8,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/391\/revisions"}],"predecessor-version":[{"id":1072,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/391\/revisions\/1072"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}