{"id":18,"date":"2025-05-02T14:07:47","date_gmt":"2025-05-02T14:07:47","guid":{"rendered":"https:\/\/courses.lsa.umich.edu\/math-116\/?page_id=18"},"modified":"2025-08-10T21:29:52","modified_gmt":"2025-08-10T21:29:52","slug":"course-materials-and-pacing","status":"publish","type":"page","link":"https:\/\/courses.lsa.umich.edu\/math-116\/course-materials-and-pacing\/","title":{"rendered":"Course Materials and Pacing"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The exact course schedule will depend on the semester in which the course is offered, and the course coordinator. However, a rough outline of the time that we spend on each of the different mathematical topics in the course is given by the following (times are based on a 14 week semester, excluding a week of finals). Below this, we include some sample course materials to illustrate the type of work expected of students.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Week 1:<\/strong> Review of Velocity and Distance, Riemann Sums, the Definite Integral, the First Fundamental Theorem of Calculus, Antiderivatives and Indefinite Integrals <\/li>\n\n\n\n<li><strong>Week 2:<\/strong> The Second Fundamental Theorem of Calculus, Integration by Substitution and Parts  <\/li>\n\n\n\n<li><strong>Week 3:<\/strong> Partial Fractions, MID and TRAP rules for Integral Estimation, Areas and Volume using Integrals <\/li>\n\n\n\n<li><strong>Week 4:<\/strong> Washer Method and Shell Method for Volumes of Revolution, Other Applications of Integration to Geometry, Density and Center of Mass <\/li>\n\n\n\n<li><strong>Week 5:<\/strong> Applications of Integration to Physics (Work) <\/li>\n\n\n\n<li><strong>Week 6:<\/strong> Midterm 1, L&#8217;Hospital&#8217;s Rule, Improper Integrals <\/li>\n\n\n\n<li><strong>Week 7:<\/strong> More on Improper Integrals, including the Comparison Test<\/li>\n\n\n\n<li><strong>Week 8:<\/strong> Applications of Improper Integrals to Probability, including Probability Density and Cumulative Distribution Functions, Means and Medians; Introduction to Sequences <\/li>\n\n\n\n<li><strong>Week 9:<\/strong> Geometric Series, Series Convergence including Power Series, Integral Test, Comparison and Limit Comparison Tests<\/li>\n\n\n\n<li><strong>Week 10:<\/strong> More on Series, including Ratio Test, Alternating Series, Absolute and Conditional Convergence, Power Series including Radius and Interval of Convergence<\/li>\n\n\n\n<li><strong>Week 11:<\/strong> Midterm 2, Taylor Polynomials and Series <\/li>\n\n\n\n<li><strong>Week 12:<\/strong> More on Taylor Series <\/li>\n\n\n\n<li><strong>Week 13:<\/strong> Parametric Equations and Calculus, including Speed and Arc Length <\/li>\n\n\n\n<li><strong>Week 14:<\/strong> Polar Coordinates and Calculus, including Area and Arc Length <\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Course Materials<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Sample course materials will be added here shortly.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The exact course schedule will depend on the semester in which the course is offered, and the course coordinator. However, [&hellip;]<\/p>\n","protected":false},"author":4766,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-18","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/pages\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/users\/4766"}],"replies":[{"embeddable":true,"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/comments?post=18"}],"version-history":[{"count":2,"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/pages\/18\/revisions"}],"predecessor-version":[{"id":32,"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/pages\/18\/revisions\/32"}],"wp:attachment":[{"href":"https:\/\/courses.lsa.umich.edu\/math-116\/wp-json\/wp\/v2\/media?parent=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}