{"id":5,"date":"2015-02-20T21:36:57","date_gmt":"2015-02-20T21:36:57","guid":{"rendered":"http:\/\/courses.candelalearning.com\/appliedcalculus\/chapter\/chapter-1\/"},"modified":"2017-08-08T18:02:18","modified_gmt":"2017-08-08T18:02:18","slug":"chapter-1","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/chapter\/chapter-1\/","title":{"raw":"Applied Calculus: Hoffman, Calaway, Lippman (pdf text)","rendered":"Applied Calculus: Hoffman, Calaway, Lippman (pdf text)"},"content":{"raw":"<h2>Content Overview<\/h2>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Course Materials<\/strong><\/td>\r\n<td><strong>YES<\/strong><\/td>\r\n<td><strong>NO<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Online Homework Questions?<\/td>\r\n<td>\u00a0X<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Editable Text?<\/td>\r\n<td><\/td>\r\n<td>\u00a0X - <a href=\"http:\/\/www.opentextbookstore.com\/appcalc\/appcalc.pdf\" target=\"_blank\" rel=\"noopener\">download here<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Video Support?<\/td>\r\n<td>\u00a0X - in the OHM\u00a0course<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Written Assessments\/ Test?<\/td>\r\n<td><\/td>\r\n<td>X<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Workbook?<\/td>\r\n<td><\/td>\r\n<td>X<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h3>Text<\/h3>\r\nThis course is based on\u00a0<em>Applied Calculus<\/em>, by Shana Calaway, Dale Hoffman, and David Lippman. \u00a0The full textbook can be <a href=\"http:\/\/www.opentextbookstore.com\/details.php?id=14\" target=\"_blank\" rel=\"noopener\">downloaded for free here<\/a>. Students\u00a0will learn to apply calculus in economic and business settings, like maximizing profit or minimizing average cost, finding elasticity of demand, or finding the present value of a continuous income stream.\r\n<h3>Topic Overview<\/h3>\r\nSome of the differences between the content in this course and a calculus course for engineering, science or math majors is:\r\n<ul>\r\n \t<li>No trigonometry<\/li>\r\n \t<li>The applications are focused on business, social, and life sciences<\/li>\r\n \t<li>Fewer theorems, no proofs<\/li>\r\n \t<li>Definite limits, no infinite limits<\/li>\r\n<\/ul>\r\nThe course is delivered in Lumen OHM\u00a0in 4 chapters that cover the following material\r\n\r\nChapter 1: Review\r\n<ul>\r\n \t<li>Section 1: Functions<\/li>\r\n \t<li>Section 2: Operations on Functions<\/li>\r\n \t<li>Section 3: Linear Functions<\/li>\r\n \t<li>Section 4: Exponents<\/li>\r\n \t<li>Section 5: Quadratics<\/li>\r\n \t<li>Section 6: Polynomials and Rational Functions<\/li>\r\n \t<li>Section 7: Exponential Functions<\/li>\r\n \t<li>Section 8: Logarithmic Functions<\/li>\r\n<\/ul>\r\nChapter 2: The Derivative\r\n<ul>\r\n \t<li>Section 1: Limits and Continuity<\/li>\r\n \t<li>Section 2: The Derivative<\/li>\r\n \t<li>Section 3: Power and Sum Rules for Derivatives<\/li>\r\n \t<li>Section 4: Product and Quotient Rules<\/li>\r\n \t<li>Section 5: Chain Rule<\/li>\r\n \t<li>Section 6: Second Derivative and Concavity<\/li>\r\n \t<li>Section 7: Optimization<\/li>\r\n \t<li>Section 8: Curve Sketching<\/li>\r\n \t<li>Section 9: Applied Optimization<\/li>\r\n \t<li>Section 10: Other Applications<\/li>\r\n \t<li>Section 11: Implicit Differentiation and Related Rates<\/li>\r\n<\/ul>\r\nChapter 3: The Integral\r\n<ul>\r\n \t<li>Section 1: The Definite Integral<\/li>\r\n \t<li>Section 2: The Fundamental Theorem and Antidifferentiation<\/li>\r\n \t<li>Section 3: Antiderivatives of Formulas<\/li>\r\n \t<li>Section 4: Substitution<\/li>\r\n \t<li>Section 5: Additional Integration Techniques<\/li>\r\n \t<li>Section 6: Area, Volume, and Average Value<\/li>\r\n \t<li>Section 7: Applications to Business<\/li>\r\n \t<li>Section 8: Differential Equations<\/li>\r\n<\/ul>\r\nChapter 4: Functions of Two Variables\r\n<ul>\r\n \t<li>Section 1: Functions of Two Variables<\/li>\r\n \t<li>Section 2: Calculus of Functions of Two Variables<\/li>\r\n \t<li>Section 3: Optimization<\/li>\r\n<\/ul>\r\n<ul>\r\n \t<li>Table of Integrals<\/li>\r\n<\/ul>\r\n<strong>Length: <\/strong>One semester\r\n<p class=\"p1\"><span class=\"s1\"><b>Delivery:\u00a0<\/b>This course is delivered in Lumen OHM\u00a0with automated grading of numerical and algebraic answers, similar to WebAssign and MyMathLab.\u00a0This makes it\u00a0appropriate for self-study by students, or as a face to face course. This course can be imported into your LMS (Blackboard, Canvas, Moodle) to provide a single-sign on experience for your students, as well as grade return for \u00a0you.<\/span><\/p>\r\n\r\n<h2>Online Content<\/h2>\r\n<p class=\"p1\"><span class=\"s1\">Lumen OHM provides randomized, algorithmically generated homework with automated grading of numerical and algebraic answers, similar to WebAssign and MyMathLab.\u00a0<\/span><\/p>\r\n<p class=\"p1\">Each chapter in the course is divided into sections that contain a reading, relevant video examples, and an online homework set.<\/p>\r\n\r\n<div class=\"textbox\"><strong>Course Home Page\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08175937\/Applied-Calc.png\"><img class=\" wp-image-95 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08175937\/Applied-Calc-300x234.png\" alt=\"\" width=\"414\" height=\"323\" \/><\/a>\r\n<\/strong><\/div>\r\n<div class=\"textbox\"><strong>Content block with text link, video links, and online homework.\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180011\/Section-2.2.png\"><img class=\" wp-image-98 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180011\/Section-2.2-300x239.png\" alt=\"\" width=\"424\" height=\"338\" \/><\/a><\/strong><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/264\/2016\/10\/04014833\/Screen-Shot-2016-10-03-at-6.46.31-PM.png\">\r\n<\/a><\/div>\r\n<div class=\"textbox\">\u00a0<strong>Online homework problem set\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180000\/OHM-Example-Problems.png\"><img class=\" wp-image-96 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180000\/OHM-Example-Problems-300x134.png\" alt=\"\" width=\"437\" height=\"195\" \/><\/a>\r\n<\/strong><\/div>\r\n<h2>Course Review Access<\/h2>\r\nYou can <a href=\"https:\/\/ohm.lumenlearning.com\/course\/course.php?cid=2429&amp;guest=true\" target=\"_blank\" rel=\"noopener\">access the course <\/a>as a guest student to see how the course is set up and view the Lumen OHM\u00a0platform. \u00a0Simply enter \"guest\" as the username, no password required.","rendered":"<h2>Content Overview<\/h2>\n<table>\n<tbody>\n<tr>\n<td><strong>Course Materials<\/strong><\/td>\n<td><strong>YES<\/strong><\/td>\n<td><strong>NO<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Online Homework Questions?<\/td>\n<td>\u00a0X<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Editable Text?<\/td>\n<td><\/td>\n<td>\u00a0X &#8211; <a href=\"http:\/\/www.opentextbookstore.com\/appcalc\/appcalc.pdf\" target=\"_blank\" rel=\"noopener\">download here<\/a><\/td>\n<\/tr>\n<tr>\n<td>Video Support?<\/td>\n<td>\u00a0X &#8211; in the OHM\u00a0course<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Written Assessments\/ Test?<\/td>\n<td><\/td>\n<td>X<\/td>\n<\/tr>\n<tr>\n<td>Workbook?<\/td>\n<td><\/td>\n<td>X<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Text<\/h3>\n<p>This course is based on\u00a0<em>Applied Calculus<\/em>, by Shana Calaway, Dale Hoffman, and David Lippman. \u00a0The full textbook can be <a href=\"http:\/\/www.opentextbookstore.com\/details.php?id=14\" target=\"_blank\" rel=\"noopener\">downloaded for free here<\/a>. Students\u00a0will learn to apply calculus in economic and business settings, like maximizing profit or minimizing average cost, finding elasticity of demand, or finding the present value of a continuous income stream.<\/p>\n<h3>Topic Overview<\/h3>\n<p>Some of the differences between the content in this course and a calculus course for engineering, science or math majors is:<\/p>\n<ul>\n<li>No trigonometry<\/li>\n<li>The applications are focused on business, social, and life sciences<\/li>\n<li>Fewer theorems, no proofs<\/li>\n<li>Definite limits, no infinite limits<\/li>\n<\/ul>\n<p>The course is delivered in Lumen OHM\u00a0in 4 chapters that cover the following material<\/p>\n<p>Chapter 1: Review<\/p>\n<ul>\n<li>Section 1: Functions<\/li>\n<li>Section 2: Operations on Functions<\/li>\n<li>Section 3: Linear Functions<\/li>\n<li>Section 4: Exponents<\/li>\n<li>Section 5: Quadratics<\/li>\n<li>Section 6: Polynomials and Rational Functions<\/li>\n<li>Section 7: Exponential Functions<\/li>\n<li>Section 8: Logarithmic Functions<\/li>\n<\/ul>\n<p>Chapter 2: The Derivative<\/p>\n<ul>\n<li>Section 1: Limits and Continuity<\/li>\n<li>Section 2: The Derivative<\/li>\n<li>Section 3: Power and Sum Rules for Derivatives<\/li>\n<li>Section 4: Product and Quotient Rules<\/li>\n<li>Section 5: Chain Rule<\/li>\n<li>Section 6: Second Derivative and Concavity<\/li>\n<li>Section 7: Optimization<\/li>\n<li>Section 8: Curve Sketching<\/li>\n<li>Section 9: Applied Optimization<\/li>\n<li>Section 10: Other Applications<\/li>\n<li>Section 11: Implicit Differentiation and Related Rates<\/li>\n<\/ul>\n<p>Chapter 3: The Integral<\/p>\n<ul>\n<li>Section 1: The Definite Integral<\/li>\n<li>Section 2: The Fundamental Theorem and Antidifferentiation<\/li>\n<li>Section 3: Antiderivatives of Formulas<\/li>\n<li>Section 4: Substitution<\/li>\n<li>Section 5: Additional Integration Techniques<\/li>\n<li>Section 6: Area, Volume, and Average Value<\/li>\n<li>Section 7: Applications to Business<\/li>\n<li>Section 8: Differential Equations<\/li>\n<\/ul>\n<p>Chapter 4: Functions of Two Variables<\/p>\n<ul>\n<li>Section 1: Functions of Two Variables<\/li>\n<li>Section 2: Calculus of Functions of Two Variables<\/li>\n<li>Section 3: Optimization<\/li>\n<\/ul>\n<ul>\n<li>Table of Integrals<\/li>\n<\/ul>\n<p><strong>Length: <\/strong>One semester<\/p>\n<p class=\"p1\"><span class=\"s1\"><b>Delivery:\u00a0<\/b>This course is delivered in Lumen OHM\u00a0with automated grading of numerical and algebraic answers, similar to WebAssign and MyMathLab.\u00a0This makes it\u00a0appropriate for self-study by students, or as a face to face course. This course can be imported into your LMS (Blackboard, Canvas, Moodle) to provide a single-sign on experience for your students, as well as grade return for \u00a0you.<\/span><\/p>\n<h2>Online Content<\/h2>\n<p class=\"p1\"><span class=\"s1\">Lumen OHM provides randomized, algorithmically generated homework with automated grading of numerical and algebraic answers, similar to WebAssign and MyMathLab.\u00a0<\/span><\/p>\n<p class=\"p1\">Each chapter in the course is divided into sections that contain a reading, relevant video examples, and an online homework set.<\/p>\n<div class=\"textbox\"><strong>Course Home Page<br \/>\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08175937\/Applied-Calc.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-95 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08175937\/Applied-Calc-300x234.png\" alt=\"\" width=\"414\" height=\"323\" \/><\/a><br \/>\n<\/strong><\/div>\n<div class=\"textbox\"><strong>Content block with text link, video links, and online homework.<br \/>\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180011\/Section-2.2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-98 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180011\/Section-2.2-300x239.png\" alt=\"\" width=\"424\" height=\"338\" \/><\/a><\/strong><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/264\/2016\/10\/04014833\/Screen-Shot-2016-10-03-at-6.46.31-PM.png\"><br \/>\n<\/a><\/div>\n<div class=\"textbox\">\u00a0<strong>Online homework problem set<br \/>\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180000\/OHM-Example-Problems.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-96 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/269\/2015\/02\/08180000\/OHM-Example-Problems-300x134.png\" alt=\"\" width=\"437\" height=\"195\" \/><\/a><br \/>\n<\/strong><\/div>\n<h2>Course Review Access<\/h2>\n<p>You can <a href=\"https:\/\/ohm.lumenlearning.com\/course\/course.php?cid=2429&amp;guest=true\" target=\"_blank\" rel=\"noopener\">access the course <\/a>as a guest student to see how the course is set up and view the Lumen OHM\u00a0platform. \u00a0Simply enter &#8220;guest&#8221; as the username, no password required.<\/p>\n","protected":false},"author":276,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[43],"contributor":[],"license":[],"class_list":["post-5","chapter","type-chapter","status-publish","hentry","chapter-type-standard"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/chapters\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/wp\/v2\/users\/276"}],"version-history":[{"count":30,"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/chapters\/5\/revisions"}],"predecessor-version":[{"id":99,"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/chapters\/5\/revisions\/99"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/chapters\/5\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/wp\/v2\/media?parent=5"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/pressbooks\/v2\/chapter-type?post=5"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/wp\/v2\/contributor?post=5"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/appliedcalculus\/wp-json\/wp\/v2\/license?post=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}