{"id":893,"date":"2016-09-20T14:17:57","date_gmt":"2016-09-20T14:17:57","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/rickert\/?page_id=893"},"modified":"2017-03-27T15:48:28","modified_gmt":"2017-03-27T15:48:28","slug":"ma112-calculus-ii","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma112-calculus-ii\/","title":{"rendered":"MA112 Calculus II"},"content":{"rendered":"<p>MTWRF 7-8, G219 John Rickert, Associate Professor of Mathematics<\/p>\n<p><strong>Office:<\/strong> G-215A, Crapo Hall<\/p>\n<p><strong>Phone:<\/strong> (812) 877-8473<\/p>\n<p><strong>Campus mail:<\/strong> Box 141<\/p>\n<p><strong>e-mail:<\/strong> <a href=\"mailto:john.rickert@rose-hulman.edu\"><u>john.rickert@rose-hulman.edu<\/u><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/ma112-basic-skills-summary\/\" target=\"_blank\"><span style=\"text-decoration: underline\">Basic skills list<\/span><\/a> a pedantic discussion describing why I&#8217;m using <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/some-notes-on-gravitational-acceleration\/\" target=\"_blank\"><u>9.80 meters per second per second<\/u><\/a> for acceleration due to gravity.<\/p>\n<h4><span style=\"color: #ff0000\">The final exam takes place Tuesday, November 19, 2013 from 6:00PM unitl 10:00PM in rooms M111 and M115.<\/span><\/h4>\n<p>The <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/the-27th-annual-alfred-r-schmidt-freshman-mathematics-competition\/\" target=\"_blank\"><u>Freshman Mathematics Competition<\/u><\/a> takes place Tuesday, September 10, if you are interested go to the <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/the-27th-annual-alfred-r-schmidt-freshman-mathematics-competition\/\" target=\"_blank\"><u>web page<\/u><\/a> and send me an e-mail.<\/p>\n<p><u>today&#8217;s homework<\/u><\/p>\n<p><em>For Friday, September 6<\/em>: Work the review homework exercises. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Tuesday.<\/p>\n<p>Watch the sequences video.<\/p>\n<p><em>For Monday, September 9<\/em>: Work on exercises Section 10.1 #6,13,26,35,39,46,60,74,106. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Tuesday.<\/p>\n<p>Work the review homework exercises. Watch the new sequences video.<\/p>\n<p>There is nothing to turn in Monday. Come to class with questions about the video, the Section 10.1 homework, and the review homework.<\/p>\n<p><em>For Tuesday, September 10<\/em>: Watch the new video (Infinite series).<\/p>\n<p><span style=\"color: #ff0000\">Turn in<\/span> The review homework and Monday&#8217;s Section 10.1 exercises(#6,13,26,35,39,46,60,74,106).<\/p>\n<p>Work exercises Section 10.1 #51,72,86,97,111-114,133.<\/p>\n<p><em>For Wednesday, September 11<\/em>: Watch the new video (Comparison tests). Work exercises Section 10.2 #5,24,28,29,45,54,73,90,94.Turn in this homework on Friday.<\/p>\n<p><em>For Thursday, September 12<\/em>: Watch the Ratio test video. Work exercises Section 10.4 #2,30,32,47,53,69. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Monday.<\/p>\n<p><em>For Friday, September 13<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Section 10.2 Homework.<\/p>\n<p>Watch the root test video. Section 10.5 #5,19,45,55,59. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Tuesday.<\/p>\n<p><em>For Monday, September 16<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Section 10.4 Homework.<\/p>\n<p>Watch the review video. Section 10.5 #9,17,19,25,37,42,59. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Tuesday.<\/p>\n<p><em>For Tuesday, September 17<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> Friday and Monday&#8217;s Section 10.5 Homeworks (#5,19,45,55,59, and 9,17,25,37,42) Watch the Alternating series video. Section 10.5 #28,29,31,33,48,57.<\/p>\n<p><em>For Wednesday, September 18<\/em>:: Watch the Power Series video. Do the homework exercises Section 10.6 #13,23,27,36,39,43.<\/p>\n<p><em>For Thursday, September 19<\/em>: Watch the second Power Series video. Do the homework exercises Section 10.7 #3,12,23,49.<\/p>\n<p><em>For Friday, September 20<\/em>: Watch the Taylor Series video. Homework exercises Section 10.7 #17,36,40,46,51.<span style=\"color: #ff0000\">Turn in<\/span> these exercises on Monday.<\/p>\n<p><em>For Monday, September 23<\/em>: <span style=\"color: #ff0000\">turn in<\/span> Section 10.7 #17,36,40,46,51 exercises.<\/p>\n<p>Watch the new Taylor Series video. Section 10.8 #3,4,7,15,19.<\/p>\n<p><em>For Tuesday, September 24<\/em>: Watch the Taylor series error term video. Section 10.8 #13,20,21,27,43.<\/p>\n<p><em>For Wednesday, September 25<\/em>: Watch the summation video.<\/p>\n<p><em>T<\/em><em>hursday, September 26:<\/em>: <span style=\"color: #ff00ff\">The average score on Exam #1 was 97.0. Equivalent grades are A: 125-144 B 100-124 C 80-99 D 60-79 F &lt;60.<\/span><\/p>\n<p><em>For Friday, September 27<\/em>: Watch the definite integrals video.<\/p>\n<p><em>For Monday, September 30<\/em>: Watch the Fundamental Theorem video. Homework exercises Section 5.3 #10,17,19,71,88. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Tuesday.<\/p>\n<p><em>For Tuesday, October 1<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Section 5.3 exercises. Watch the substitution video. Homework exercises Section 5.4 #1,13,23,33,51,70,83.<\/p>\n<p><em>For Wednesday, October 2<\/em>: Watch the area video. Homework exercises Section 5.5 #19,37,55,67,71,77,79. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Thursday.<\/p>\n<p><em>For Thursday, October 3<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Section 5.5 exercises.<\/p>\n<p>Watch the volume video. Homework exercises Section 5.6 #43,47,54,59,77,93,97.<\/p>\n<p><em>For Friday, October 4<\/em>: Watch the new volume video. Homework exercises: Section 6.1 #5,10,25,52,55,61. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Monday.<\/p>\n<p>&nbsp;<\/p>\n<p><em>For Monday, October 7<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> The Section 6.1 Homework. Watch the arc length video. Section 6.2 #1,13,18,31,47.<\/p>\n<p><em>For Tuesday, October 8<\/em>: Watch the Surface area video. Section 6.3 #2,14,17,22,37.<\/p>\n<p><em>For Wednesday, October 9<\/em>: Exercises 6.4 #9,17,21,27,30. The review video is optional but recommended. There wiil not be a quiz at the beginning of class.<\/p>\n<p><em>Thursday, October 10<\/em>: <span style=\"color: #ff00ff\">The average score on Exam #2 was 107.3. Equivalent grades are A 125-137 B 105-124 C 90-104 D 70-89 F &lt;70.<\/span><\/p>\n<p>For <em>Friday, October 11<\/em>: Watch the work video.<\/p>\n<p>&nbsp;<\/p>\n<p>For <em>Monday, October 14<\/em>: Watch the fluid video. Section 6.5 #5,13,23,25,30,31. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Wednesday.<\/p>\n<p>For <em>Tuesday, October 15<\/em>: Watch the logarithm video. Section 6.5 #29,33,36,43,47. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Wednesday.<\/p>\n<p>For <em>Wednesday, October 16<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Section 6.5 homeworks. Watch the hyperbolic trig video. Section 7.1 #1,10,12,34,37,47,57.<\/p>\n<p>&nbsp;<\/p>\n<p>For <em>Monday, October 21<\/em>: Watch the integration by parts video. Work exercises Section 7.3 #13,21,49,54,83,86.<\/p>\n<p>For <em>Tuesday, October 22<\/em>: Watch the trigonometric integrals video. Work exercises Section 8.1 #15,25,33,34,53,59,67. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Wednesday.<\/p>\n<p>For <em>Wednesday, October 23<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Section 8.1 exercises.<\/p>\n<p>Watch the trigonometric substitution video. Work exercises Section 8.2 #20,23,25,55,69,71.<\/p>\n<p>For <em>Thursday, October 24<\/em>: Watch the partial fractions video. Work exercises Section 8.3 #18,27,35,49,58.<\/p>\n<p>Review the material through Section 8.3 (the examination material).<\/p>\n<p><em>Friday, October 25<\/em>: <span style=\"color: #ff00ff\">The average score on Exam #3 was 83.5. Equivalent scores are A 110-123 B 90-109 C 70-89 D 50-69 F &lt;50.<\/span><\/p>\n<p>For <em>Tuesday, October 29<\/em>: Watch the approximation techniques video.<\/p>\n<p>For <em>Wednesday, October 30<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the Exam #3 rewrite. Section 8.6 #23,25,28.<\/p>\n<p>For <em>Thursday, October 31<\/em>: Watch the improper integrals video. We will start class with a by-hands integral quiz.<\/p>\n<p>&nbsp;<\/p>\n<p>For <em>Friday, November 1<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> your RAVE review.<\/p>\n<p>Watch the integral test video. Work exercises Section 8.7 #47,61,66,74,57.<\/p>\n<p>&nbsp;<\/p>\n<p>For <em>Monday, November 4<\/em>: Watch the separable differential equation video. Work exercises Section 10.3 #31,37,41,55,57.<\/p>\n<p>For <em>Tuesday, November 5<\/em>: Watch the falling objects video. Work exercises Section 7.2 #2,9,23,28.<\/p>\n<p>For <em>Wednesday, November 6<\/em>: Watch the salt tank video. Work exercises Section 7.2 #1,13,30,35,39.<\/p>\n<p>For <em>Thursday, November 7<\/em>: Work the exercises on the homework handout. <span style=\"color: #ff0000\">Turn in<\/span> these exercises on Tuesday.<\/p>\n<p>&nbsp;<\/p>\n<p><em>Friday, November 8<\/em>: <span style=\"color: #ff00ff\">The average score on Exam #4 was 109.3. Equivalent grades are A 117-130 B 104-116 C 91-103 D 78-90 F&lt;78.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>For <em>Monday, November 11<\/em>: Work the exercises on the homework handout.<\/p>\n<p>For <em>Tuesday, November 12<\/em>: <span style=\"color: #ff0000\">Turn in<\/span> the exercises on the separable differential equations homework handout<\/p>\n<p>For <em>Wednesday, November 13<\/em>: Section 9.1 #1-4,13,18.<\/p>\n<hr \/>\n<p style=\"text-align: center\"><strong>Course Policy<\/strong><\/p>\n<p>This class will have four in-class exams &#8211; most likely during the 3rd, 5th, 7th and 9th weeks. Exam #1 is Friday, December 17.<\/p>\n<p><em>Note<\/em>: I don&#8217;t set grades using a 93\/86\/77\/70 &#8220;straight scale&#8221; system. I plan to challenge you to excel. This means that the exam averages will generally be lower than what you are used to. Answers should be explained. The correct answer will be worth 1 point. The rest of the credit comes from correctly explaining how the answer is found. The words &#8220;used Maple&#8221; are not an explanation and will result in a loss of 1 point. When you use <em>Maple<\/em>, you must explain what you&#8217;ve done mathematically, e.g., &#8220;Set <em>f<\/em>&#8216;(<em>x<\/em>)=0, solve for <em>x<\/em>&#8220;.<\/p>\n<p>It is best to circle your answer. If it is not made sufficiently clear which expression is intended to be your answer (based solely on my judgement) the answer worth the least credit will be taken as your designated answer.<\/p>\n<p>The final exam will be given during finals week. If you are making arrangements for travel home, you should make sure that they will not conflict with the final exam schedule. If your parents will be purchasing airline tickets for you, you should contact them and remind them not to schedule you on a flight that might cause you fail a class. There will be two parts to the final exam. For the first part, you will be allowed the use of only a writing utensil.<\/p>\n<p>For the second part, you may use clean <em>Maple<\/em> worksheets and a writing utensil. The <u>weights for the grade<\/u> are given below. There may be two types of quizzes given in class: announced and unannounced.<\/p>\n<p>A stapler is probably a good investment for most of you. Multi-page homeworks should be stapled together, not mutilated.<\/p>\n<p>Place your <em>name<\/em> and <em>Campus Mailbox<\/em> number in the upper right-hand corner of your homework. Homework is due at the beginning of class on the day that it is due. You should turn in your homework in a pile on the desk at the front of the classroom. Homework may be turned in later but will be penalized based on just how late it is &#8211; typically<\/p>\n<p>1 point off for turned in late during the class,<\/p>\n<p>5% off for being turned in late the same day,<\/p>\n<p>10% off per day. (weekends count for two days) i.e. 10 days later, it&#8217;s too late to get a makeup homework turned in.<\/p>\n<p>&nbsp;<\/p>\n<p>When writing up homework, you should circle (or otherwise clearly indicate) your answers.<\/p>\n<p>It&#8217;s good to work together, but you should write\/type your own homework. Simply copying another person&#8217;s work or <em>Maple<\/em> file is not acceptable.<\/p>\n<p>If the homework is on a worksheet that is passed out to the class, you will generally be expected to write your answers on a separate sheet of paper, in a well-organized fashion. Answers should be written on the worksheet only if answer blanks have been specifically provided. The grader and I reserve the right to return as unacceptable any homework that is inadequately prepared. (full of scratch work, problems out of order, submitted on crumpled or fringed paper, irrelevant information about other topics is written on the paper)<\/p>\n<p>If you have any questions while I&#8217;m not around, you may e-mail me at <a href=\"mailto:%20john.rickert@rose-hulman.edu\"><u>john.rickert@rose-hulman.edu<\/u><\/a> and I will reply as soon as I can.<\/p>\n<p>&nbsp;<\/p>\n<p>You should come to class prepared. This means that I expect you to have done the homework, brought your book to class and launched <em>Maple<\/em> at the beginning of class. you have a cell phone, please make sure that it does not ring audibly during class. Phone calls should, in general, not be answered during class. Do not text during class. It&#8217;s rude.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>If you don&#8217;t understand something, <strong>ASK<\/strong><\/li>\n<li>If I&#8217;m going too fast, <strong>STOP ME<\/strong>. I enjoy mathematics. When I get on a roll, I tend to keep going.<\/li>\n<li><strong>SHOW YOUR WORK<\/strong>. The correct answer will only be worth 1 point. I want to verify that you understand the process.<\/li>\n<li>If you are having problems understanding the material, see me or go to the learning center.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>I will assign some `group&#8217; projects in this class. Groups will consist of either three or four members. Write-ups from smaller or larger groups will not be accepted unless prior approval has been given.<\/p>\n<p>Write-ups should be neatly presented. Write-ups returned on the information sheet handed out to the groups will not be accepted. Write-ups handed in at the end of class may be hand-written.<\/p>\n<p>Write-ups for work outside of class should be typed. <em>Maple<\/em> code may be included as part of an appendix or in figures, but should not be considered as a `formal&#8217; write-up. Similarly, `scratch-work&#8217; is unacceptable. Neatly written partial results may be turned in, but scribbles will reduce your grade.<\/p>\n<hr \/>\n<p>The following errors are taboo. If you make them, do not expect any credit on the problem<\/p>\n<ul>\n<li>Volume and area must be positive<\/li>\n<li>If your computation produces a area or volume that is negative or complex, you cannot simply erase the negative sign or imaginary part. You must set up the problem correctly<\/li>\n<li>An equation has an <strong>=<\/strong>, and expressions on both sides of the =.<\/li>\n<li>Limits on an integral cannot depend on the variable being integrated.<\/li>\n<li>When evaluating an integral for which you already know the value, if you&#8217;ve set up an incorrect integral and pretend to evaluate the integral by simply copying the known value, rather than evaluating the integral and commenting on the difference, you should not expect any credit.<\/li>\n<\/ul>\n<p>Also, when writing integrals you must always close the integral with a differential. Without the differential explicitly written, the expression is ambiguous and will result in loss of credit.<\/p>\n<hr \/>\n<p>The basic &#8220;by hands&#8221; skills:<\/p>\n<ul>\n<li>Basic arithmetic<\/li>\n<li>Algebra: manipulation of terms, solutions to quadratic equations and systems of linear equations, manipulation of exponentials and logarithms<\/li>\n<li>Geometry: knowledge of area and volume rules for simple shapes; triangles, parallelograms, trapezoids, circles, cubes, spheres, pyramids<\/li>\n<li>Trigonometry: manipulation and evaluation of trigonometric functions and their inverses<\/li>\n<li>Vector arithmetic, including evaluation of dot products and determing the angle between two vectors<\/li>\n<li>Deriviatives: partial derivatives of the elementary functions<\/li>\n<li>Integration: evaluation of iterated integrals of elementary functions<\/li>\n<\/ul>\n<p>The elementary functions are: polynomials, trigonmetric functions and their inverses, exponential functions, and logartihms.<\/p>\n<hr \/>\n<p style=\"text-align: center\"><strong>A summary of the grade weights<\/strong><\/p>\n<p>There will be four in-class exams worth 12.5% each<\/p>\n<p>The final exam will be worth 25%<\/p>\n<p>Quizzes and worksheeets will be worth 15%<\/p>\n<p>Homework will be worth 10%<\/p>\n<p>Extra credit that is earned will be added on to your grade after the curve has been determined.<\/p>\n<hr \/>\n<p>Go to<\/p>\n<ul>\n<li>the <a href=\"http:\/\/www.rose-hulman.edu\/academics\/academic-departments\/mathematics.aspx\" target=\"_blank\"><u>Mathematics Department Home Page. <\/u><\/a><\/li>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/jhrs-class-pages-list\/\" target=\"_blank\"><u>classes page<\/u><\/a><\/li>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/\" target=\"_blank\"><u>home page<\/u><\/a><\/li>\n<li>The <em>American Heritage Dictionary<\/em> <a href=\"https:\/\/www.ahdictionary.com\/word\/hundredmore.html\" target=\"_blank\"><u>list of 100 words all high school graduates should know<\/u><\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"excerpt\">MTWRF 7-8, G219 John Rickert, Associate Professor of Mathematics Office: G-215A, Crapo Hall Phone: (812) 877-8473 Campus mail: Box 141 e-mail: john.rickert@rose-hulman.edu &nbsp; Basic skills list a pedantic discussion describing why I&#8217;m using 9.80 meters per second per second for acceleration due to gravity. The final exam takes place Tuesday, November 19, 2013 from 6:00PM unitl 10:00PM in rooms M111&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"btn btn-default\" href=\"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma112-calculus-ii\/\">Read more<\/a><\/p>\n","protected":false},"author":812,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-893","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/893","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/users\/812"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/comments?post=893"}],"version-history":[{"count":10,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/893\/revisions"}],"predecessor-version":[{"id":921,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/893\/revisions\/921"}],"wp:attachment":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/media?parent=893"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}