{"id":278,"date":"2023-06-13T13:13:47","date_gmt":"2023-06-13T20:13:47","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/larry-goldstein\/?page_id=278"},"modified":"2023-06-13T13:13:48","modified_gmt":"2023-06-13T20:13:48","slug":"math-126-calculus-ii","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/","title":{"rendered":"Math 126 &#8211; Calculus II"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>&nbsp;<\/p>\n<p style=\"text-align: left; font-size: 25px;\"><strong>Course Content:<\/strong><\/p>\n<ul>\n<li><big>Trigonometric and inverse trigonometric functions and indeterminate forms (Sec 5.6, 5.7, 5.8, 5 lectures)<\/big><\/li>\n<li><big>Techniques of Integration (Secs 6.1 &#8211; 6.3, 6.5 &#8211; 6.6, 8 lectures<\/big>)<\/li>\n<li><big>Applications of integration (<\/big><big>Secs 7.1 &#8211; 7.4, 7.6 &#8211; 7.7, 10 lectures<\/big>)<\/li>\n<li><big>Sequences and infinite series (<\/big><big>Secs 8.1 &#8211; 8.8, 14 lectures<\/big>)<\/li>\n<li><big>Polar coordinates (Secs 9.3 &#8211; 9.4: Polar Coordinates, 3 lectures)<\/big><\/li>\n<\/ul>\n<p><big><strong>Instructor<\/strong>:\u00a0<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/\">Larry Goldstein<\/a>, larry at usc dot edu, KAP 406D, 213 740 2405. Office Hours:\u00a0<\/big>Monday 10-11, Friday 1-2:30<big><br \/>\nLecture:\u00a0 ZHS 163, MWF 9:00-9:50, 39531D<br \/>\n<\/big><big><br \/>\n<strong>Text:<\/strong>\u00a0Essential Calculus, Stewart<\/big><big><\/big><\/p>\n<p><strong>Teaching Assistant:<\/strong>\u00a0Hongying Zhao, hongyinz at usc dot edu. Office Hours: 10-11AM Tuesday and Thursday, and 2-3PM Wednesday in the\u00a0<a href=\"https:\/\/dornsife.usc.edu\/mathcenter\/\">Math Center<\/a><\/p>\n<p>Previous\u00a0<a href=\"https:\/\/dornsife.usc.edu\/mathcenter\/126\/\">Math 126 Final Exams<\/a><br \/>\nSee the\u00a0<a href=\"https:\/\/classes.usc.edu\/term-20143\/calendar\/\">registration calendar<\/a>\u00a0for important (drop) dates.<br \/>\n<a href=\"http:\/\/mathworld.wolfram.com\/PiFormulas.html\">An inverse tangent formula for \u03c0<\/a><\/p>\n<p>Please check this page regularly for updates and changes.<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n\n\n\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <h3><strong>Exams, Grading and Course Policy<\/strong><\/h3>\n<p><big>Attendance is not taken in class, but students who come regularly to class do vastly better than students who do not.<\/big><\/p>\n<p><big>There will be a weekly quiz in your discussion section every Tuesday starting in week 2, except in weeks in which midterms are given. Students who complete all their homework assignments with full understanding should have no difficulty on the quizzes. The quiz may be composed of questions covering past as well as current material.\u00a0<\/big>Your\u00a0<big>lowest two quiz scores will be dropped, hence there will be no make up quizzes given for any reason. Missing more than two quizzes is a sign of less than sufficient involvment in the course, and such students should consider dropping the course and taking it in a semester in which they can devote their full attention.<\/p>\n<p>Exams will be administered only on the dates that follow, so students need to check the exam dates below at the start of the semester and make sure those are cleared on their calendars. There will be no make-up exams for any reason. If you miss one midterm exam due to some unforeseen emergency, upon furnishing appropriate proof of your situation your final course grade will be computed based on your scores on the remainder of your completed work.<\/p>\n<p>Students are kindly asked to turn their cell phones and computers off during class and put those away, along with any outside reading materials.<br \/>\n<\/big><\/p>\n<ul>\n<li>Quizzes: 20%<\/li>\n<li>Computer Assignments: 10%, Discussion will meet in KAP Calculus Lab KAP 265 on Thursday October 16th and Thursday November 13th.<\/li>\n<li><strong>Midterm 1:<\/strong>\u00a020%: Friday, October 10th. Will cover all material up to and including Section 7.3.<\/li>\n<li>Percentiles: 25<sup>th<\/sup>\u00a068, Median 78, 75<sup>th<\/sup>\u00a0\u00a0120, high score 180 of 200<\/li>\n<li><strong>Midterm 2:<\/strong>\u00a020%, Friday, November 7th. Will cover all assigned material between Sections 7.4 and 8.3 inclusive. The exam may include questions from previous years final exams. The exam will be closed book, no notes or calculator allowed.<\/li>\n<li>Percentiles: 25<sup>th<\/sup>\u00a065, Median 80, 75<sup>th<\/sup>\u00a0\u00a0170, high score 198 of 200<\/li>\n<li>Common Final Exam: 30%, Saturday, December 13th, 2-4 p.m. ZHS 252<\/li>\n<\/ul>\n<p><big>Calculators and other electronic devices, books and lecture notes will not be allowed.<br \/>\nYou may use one self-prepared handwritten formula sheet, letter size paper, both sides.<br \/>\nYou should also bring your USC identification card.<\/big><\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n\n\n\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <h3><big><strong>Assignments<\/strong><\/big><\/h3>\n<p><strong>Quiz Coverage:<\/strong>\u00a0The Quiz may include problems on any previously covered material:<\/p>\n<ul>\n<li>Sept 2:\u00a0\u00a0 5.6 to problem 28<\/li>\n<li>Sept 9:\u00a0\u00a0 5.6 to 5.8<\/li>\n<li>Sept 16: 6.1<\/li>\n<li>Sept 23: 6.2 to 6.3<\/li>\n<li>Sept 30: 6.5, 6.6 and 7.1<\/li>\n<li>Oct 14 : 7.2-7.4<\/li>\n<li>Oct 21:\u00a0 7.6<\/li>\n<li>Oct 28:\u00a0 7.7 and 8.1<\/li>\n<li>Nov 11: 8.2 to 8.3<\/li>\n<li>Nov 18: 8.4 to 8.5<\/li>\n<li>Dec 2:\u00a0\u00a0 8.6 and 8.7<\/li>\n<\/ul>\n<p>5.6: 4, 6, 10, 14, 20, 28, 30, 35, 38, 41, 43, 45 and #5(i) from F&#8217;04 (Ignore the limits of integration and solve as if it were an indefinite integral.)<br \/>\n5.7: 5, 10, 15, 17, 19(a,b,c,d), 25,34,45,47,51<br \/>\n5.8: 41,42,43,45,50,56 and #6 from F&#8217; 03, #1 from S&#8217; 04, #4 from F&#8217; 04, #3 from F&#8217; 05, #1 from F&#8217; 07<br \/>\n6.1: 3,5,12, 15,25,27,33,2 (Parts i and iii only) from F&#8217; 05, 1 (Parts a and c only) from S&#8217; 06, 2 (Parts a and b only) from S&#8217; 09<br \/>\n6.2: 1,6,13,18,19,28,37,42,47,56,65,66<br \/>\n6.3: 1,4,5,7,10,15,21,23,29,34 35,39,41,43,44, 2 from F&#8217; 05,2ab S&#8217; 07,1b S&#8217; 06<br \/>\n6.5: 2,5,10,15,20,25,28,36,39<br \/>\n6.6: 1,5,7,20,27,29,41,42,48,49,50, 4 on F&#8217;05, 2 on S&#8217;06, 3 on S&#8217;07<br \/>\n7.1: 1,3,5,9,13,28,32,33<br \/>\n7.2: 1,4,8,12,16,17,28,32,33,38,47,50,51<br \/>\n7.3: 2,5,7,8,9,11,19,30,33,34,40,43. F&#8217; 07, #4, S&#8217;06 #3<br \/>\n7.4: 2,3,7,12,16,18,26,27,32,34 (set up the equation),35 (set up the integral)<br \/>\n7.6: 5,9,12,16,18,21,22,23,24,31,34,43,48,53<br \/>\n7.7: 1,7,9,11,15,21,28,31,34,36,39,45,47,50, #7 from F&#8217; 08<br \/>\n8.1: 3,4,9,12,14,23,29,31,32,34,37,41,43,45,46,53<br \/>\n8.2: 9,11,14,17,24,25,26,29,35,38,41,44,47,50,56,57,60, #6 S&#8217;09<br \/>\n8.3: 1,3,8,10,13,17,19,21,22,27,29,31,3,41,43,45,46,47<br \/>\n8.4 :5,8,9,14,17,18,23,29,31,35,39,42,44,45,46<br \/>\n8.5: 3,5,11,16,20, 22,23,27,35,36<br \/>\n8.6: 1,2,6,9,11,15,18,28,32,35,39,40,41<br \/>\n8.7: 5,8,13,15,20,23,29,32,40,44,50,54,55,59,61,66,67,68,70a<br \/>\n8.8: 9ab, 12ab,14ab,20,25,26,29,30<br \/>\n9.3: 7,10,13,20,21,25,28,38,41,46,47,50,51,56<br \/>\n9.4: 2,3,6,10,17,21,30,33,36<\/p>\n<p>Mathematica assignments: Please enter your name in the Mathematica Notebook at the top, in the form of a Mathematica comment (* Your Name *). Also use commenting to separate out the different problems in the assignment, as in entering (*Problem 1*) before starting the first problem. Enter additional comments that explain your computations. You may hand in a paper printout, or, save some paper and email your .nb file, or a pdf of it, to Shadow.<\/p>\n<p>Computer assignment #1: November 6nd.<\/p>\n<p>Computer assignment #2: December 2nd.<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n\n\n\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <h3><strong>Course Journal<\/strong><\/h3>\n<p>Monday, August 25th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Introduction to second semester calculus, course coverage and policies<br \/>\nWednesday, August 27th. Trigonometric functions, their inverses and derivatives<br \/>\nFriday, August 29th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Trigonometric functions, their inverses, application. Introduction to Hyperbolic functions<br \/>\nWednesday, Sept. 3rd.\u00a0\u00a0\u00a0\u00a0\u00a0 Hyperbolic functions, inverses and their derivatives. L&#8217;Hopital&#8217;s rule<br \/>\nFriday, Sept. 5th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 L&#8217;Hopital&#8217;s rule<br \/>\nMonday, Sept. 8th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Integration by parts<br \/>\nWednesday, Sept 10th.\u00a0\u00a0\u00a0\u00a0\u00a0 Integration by parts, Trigonometric integrals<br \/>\nFriday, Sept 12th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Trigonometric substitutions, Partial Fractions<br \/>\nMonday, Sept 16th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Partial Fractions<br \/>\nWednesday, Sept 18th. \u00a0\u00a0\u00a0\u00a0 Numerical Integration<br \/>\nFriday, Sept 20th. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Numerical Integration, Improper Integrals<br \/>\nMonday, Sept 22th. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Improper Integrals<br \/>\nWednesday, Sept 24th.\u00a0\u00a0\u00a0 \u00a0 Improper Integrals<br \/>\nFriday, Sept 26th.\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Areas between curves<br \/>\nMonday, Sept 29th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 Volumes<br \/>\nWednesday, Oct 1st. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Volumes, disc and shell method<br \/>\nFriday, Oct 3rd.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Volumes<br \/>\nMonday, Oct 6th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Arclength, work<br \/>\nWednesday, Oct 8th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Work<br \/>\nFriday, Oct 10th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Midterm I<br \/>\nMonday, Oct 13th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Hydrostatic pressure<br \/>\nWednesday, Oct 15th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Hydrostatic pressure, center of mass<br \/>\nFriday, Oct 17th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Center of mass, first order separable differential equations<br \/>\nMonday, Oct 20th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 First order separable differential equations, sequences<br \/>\nWednesday, Oct 22nd.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Mixing problems, sequences<br \/>\nFriday, Oct 24th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Direction fields, sequences<br \/>\nMonday, Oct 27th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Sequences, Series<br \/>\nWednesday, Oct 29th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Series, Integral and Comparison tests<br \/>\nFriday, Oct 31st.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Series, Integral and Comparison tests<br \/>\nMonday, Nov 3rd.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Series, book stacking, limit comparison test, alternating series<br \/>\nWednesday, Nov 5th. \u00a0 \u00a0 \u00a0 \u00a0 Alternating series, absolute and conditional convergence<br \/>\nMonday, Nov 10th. \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 Absolute and conditional convergence, ratio test<br \/>\nWednesday, Nov 12th. \u00a0 \u00a0 \u00a0 Root test. Power series<br \/>\nFriday, Nov 14th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Power series, compostion, derivatives and integrals<br \/>\nMonday, Nov 17th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Power series, log and arctan expansions, Bessel function differential equation<br \/>\nWednesday, Nov 19th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Power series, Taylor and Maclaurin series, Taylor&#8217;s theorem<br \/>\nFriday, Nov 21st. \u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 Taylor and Maclaurin series, remainder<br \/>\nMonday, Nov 24th. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Taylor and Maclaurin series, Binomal series<br \/>\nWednesday, Nov 26th. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Binomial Series<br \/>\nFriday, November 28th. \u00a0\u00a0\u00a0 \u00a0 Binomial Series, Applications<br \/>\nMonday, December 1st. \u00a0\u00a0\u00a0\u00a0\u00a0 Multiplication and division of series, Applications of series, integration, taking limits, and in physics<br \/>\nWednesday, December 2nd. Polar coordinates, graphing polar function, derivatives<br \/>\nFriday, December 5th.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Polar coordinates, derivatives, areas<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-278","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Math 126 - Calculus II - Larry Goldstein<\/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:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math 126 - Calculus II - Larry Goldstein\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/\" \/>\n<meta property=\"og:site_name\" content=\"Larry Goldstein\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-13T20:13:48+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/\",\"url\":\"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/\",\"name\":\"Math 126 - Calculus II - Larry Goldstein\",\"isPartOf\":{\"@id\":\"https:\/\/dornsife.usc.edu\/larry-goldstein\/#website\"},\"datePublished\":\"2023-06-13T20:13:47+00:00\",\"dateModified\":\"2023-06-13T20:13:48+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/dornsife.usc.edu\/larry-goldstein\/math-126-calculus-ii\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/dornsife.usc.edu\/larry-goldstein\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math 126 &#8211; 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