{"id":5,"date":"2023-02-07T10:40:31","date_gmt":"2023-02-07T15:40:31","guid":{"rendered":"https:\/\/sites.williams.edu\/sjm1\/?page_id=5"},"modified":"2023-05-10T10:33:06","modified_gmt":"2023-05-10T14:33:06","slug":"math-150-sp23","status":"publish","type":"page","link":"https:\/\/sites.williams.edu\/sjm1\/math-150-sp23\/","title":{"rendered":"Math 150 Sp23"},"content":{"rendered":"<p>Math 150 Spring 2023<\/p>\n<p>Old webpage: <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/\">https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/<\/a><\/p>\n<ol>\n<li><strong>Slides:<\/strong> <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/Math150Sp23LectureNotes.pdf\">https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/Math150Sp23LectureNotes.pdf<\/a><\/li>\n<li><strong>Homework Problems: <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/04\/HWSolns_Math150_Sp2023.pdf\">HWSolns_Math150_Sp2023<\/a><\/strong>\u00a0(all HW due at the start of class; late, messy or unstapled HW not accepted)<\/li>\n<li><strong>Homework<\/strong> <strong>Solutions:<\/strong> <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/hwsolns\/HWSolns_Math150_Sp2023.pdf\">https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/hwsolns\/HWSolns_Math150_Sp2023.pdf<\/a><\/li>\n<\/ol>\n<h6>Videos and HW Assignments:<\/h6>\n<ul>\n<li>Class 35: 5\/10: HW from Section 15.6. Watch <strong><span style=\"color: #339966\">Green&#8217;s Theorem in a Day<\/span><\/strong>: <a href=\"https:\/\/www.youtube.com\/watch?v=aQbPrQ82K-Y\">https:\/\/www.youtube.com\/watch?v=aQbPrQ82K-Y<\/a> Review Class: <a href=\"https:\/\/youtu.be\/TL1xHE819-I\">https:\/\/youtu.be\/TL1xHE819-I<\/a><\/li>\n<li>Class 34: 5\/8: Change of Variables and Newton&#8217;s Method: <a href=\"https:\/\/youtu.be\/ZEQJc6BtHrU\">https:\/\/youtu.be\/ZEQJc6BtHrU<\/a> (<b>For the correct calculation see: <\/b><b><a href=\"https:\/\/www.youtube.com\/watch?v=3Pt4E1BeUTw&amp;t=104s\">https:\/\/www.youtube.com\/watch?v=3Pt4E1BeUTw&amp;t=104s<\/a><\/b>)<\/li>\n<li>Class 33: 5\/5: HW from Section 15.4. Spherical Integration (volume n-sphere), elliptical integration: <a href=\"https:\/\/youtu.be\/z7wfwZ9Lr0s\">https:\/\/youtu.be\/z7wfwZ9Lr0s<\/a><\/li>\n<li>Class 32: 5\/3: HW from Section 15.3. Spherical Integrals: <a href=\"https:\/\/youtu.be\/Pjp19j-R4dw\">https:\/\/youtu.be\/Pjp19j-R4dw<\/a><\/li>\n<li>Class 31: 5\/1: HW from Section 15.2. Triple Integrals: <a href=\"https:\/\/youtu.be\/hD3qal6H1gg\">https:\/\/youtu.be\/hD3qal6H1gg<\/a><\/li>\n<li>Class 30: 4\/28: Integration over Simple Regions: <a href=\"https:\/\/youtu.be\/qOZZxLiFIP0\">https:\/\/youtu.be\/qOZZxLiFIP0<\/a><\/li>\n<li>Class 29: 4\/26: HW from Section 15.1. Monte Carlo Integration: <a href=\"https:\/\/youtu.be\/QHgSQDNQQTU\">https:\/\/youtu.be\/QHgSQDNQQTU<\/a>\u00a0 (Mathematica file: <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/04\/MonteCarloIntegration2.nb\">MonteCarloIntegration2<\/a> and <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/04\/MonteCarloIntegration2.pdf\">pdf version<\/a>)<\/li>\n<li>Class 28: 4\/24: Integration in Several Variables, Dangers with Infinities: <a href=\"https:\/\/youtu.be\/gLEfgNRcKmA\">https:\/\/youtu.be\/gLEfgNRcKmA<\/a><\/li>\n<li>Class 27: 4\/21: Fundamental Theorem of Calculus: <a href=\"https:\/\/youtu.be\/IQj0lHPx3-4\">https:\/\/youtu.be\/IQj0lHPx3-4<\/a><\/li>\n<li>Class 26: 4\/19: Exam<\/li>\n<li>Class 25: 4\/17: Pythagoras at the Bat: <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/math\/talks\/PythagWLTalk_DeveloperCloud85_2017.pdf\">Slides<\/a>, Video: <a href=\"https:\/\/youtu.be\/reUdQ0NPbPY\">https:\/\/youtu.be\/reUdQ0NPbPY<\/a> (can get papers from my <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/math\/papers\/papers.html\">homepage<\/a>, especially <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/math\/papers\/MillerEtAl_Pythagoras.pdf\">this one<\/a>)<\/li>\n<li>Class 24: 4\/14: HW from Section 14.8: Lagrange Multipliers II, Drowning Swimmer: <a href=\"https:\/\/youtu.be\/-QEyiSaZQZo\">https:\/\/youtu.be\/-QEyiSaZQZo<\/a><\/li>\n<li>Class 23: 4\/12: HW from Sections 14.6 (last problem extra credit) and 14.7: Lagrange Multipliers: <a href=\"https:\/\/youtu.be\/omW5MRL_zVw\">https:\/\/youtu.be\/omW5MRL_zVw<\/a><\/li>\n<li>Class 22: 4\/10: HW from Sections 14.4 and 14.5: <a href=\"https:\/\/youtu.be\/kNqwNfczw74\">https:\/\/youtu.be\/kNqwNfczw74<\/a><\/li>\n<li>Class 21: 4\/7: Battle of Trafalgar: <a href=\"https:\/\/youtu.be\/gxCZOZZx9KQ\">https:\/\/youtu.be\/gxCZOZZx9KQ<\/a><\/li>\n<li>Class 20: 4\/5: HW from Sections 14.1, 14.2, 14.3. Tangent Planes, Approximations, Directional Derivatives: <a href=\"https:\/\/youtu.be\/sndIgR0iTxI\">https:\/\/youtu.be\/sndIgR0iTxI<\/a><\/li>\n<li>Class 19: 4\/3: Domain and Range, Limits, Partial Derivatives: <a href=\"https:\/\/youtu.be\/CF1y6yZDvao\">https:\/\/youtu.be\/CF1y6yZDvao<\/a><\/li>\n<li>Bonus Review Class: 3\/28: <a href=\"https:\/\/youtu.be\/ceTXDndMUfg\">https:\/\/youtu.be\/ceTXDndMUfg<\/a><\/li>\n<li>Class 18: 3\/15: Introduction to Differentiation in Several Variables: <a href=\"https:\/\/youtu.be\/BsK4OUhxHIo\">https:\/\/youtu.be\/BsK4OUhxHIo<\/a><\/li>\n<li>Class 17: 3\/15: review \/ discussion on exam<\/li>\n<li>Class 16: 3\/13: In class exam<\/li>\n<li>Class 15: 3\/10: Chaos, Fractals and Newton&#8217;s Method: Video: <a href=\"https:\/\/youtu.be\/sRVXHXuMnJ4\">https:\/\/youtu.be\/sRVXHXuMnJ4<\/a> \u00a0 Slides <a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/math\/talks\/CToShiningC_HampshireCollege2022.pdf\">here<\/a>.<\/li>\n<li>Class 14: 3\/8: Method of Least Squares: Video and slides from previous year: <a href=\"https:\/\/youtu.be\/I2Z47ypMtBI\">https:\/\/youtu.be\/I2Z47ypMtBI<\/a>\u00a0 (<a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/math\/talks\/MethodOfLeastSquaresLecture.pdf\">slides here<\/a>)\u00a0 (<a href=\"https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/math\/talks\/MethodLeastSquares.pdf\">notes on method of least squares<\/a>)<\/li>\n<li>Class 13: 3\/6:\u00a0HW from Section 12.7 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>. Lecture on using Mathematica: Video: <a href=\"https:\/\/youtu.be\/izUcZ0hwYeY\">https:\/\/youtu.be\/izUcZ0hwYeY<\/a> \u00a0<a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/03\/Math150Sp23MathematicaNotebook.nb\">Math150Sp23MathematicaNotebook <\/a>\u00a0pdf file: <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/03\/Math150Sp23MathematicaNotebook.pdf\">Math150Sp23MathematicaNotebook<\/a>.<\/li>\n<li>Class 12: 3\/3: HW from Sections 12.4 and 12.5 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>. Lecture on Sections 12.6 and 12.7: Level Sets and Special Coordinate Systems: <a href=\"https:\/\/youtu.be\/6QEQIMQf7g8\">https:\/\/youtu.be\/6QEQIMQf7g8<\/a><\/li>\n<li>Class 11: 3\/1: HW from Section 12.3 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>. Lecture on 12.4, 12.5 and possibly 12.6: Cross Product: Video: <a href=\"https:\/\/youtu.be\/KpJmKkFqJe0\">https:\/\/youtu.be\/KpJmKkFqJe0<\/a><\/li>\n<li>Class 10: HW from Sections 12.1 and 12.2 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>. Lecture on 12.3 and possibly 12.4: Dot Product: Video: <a href=\"https:\/\/youtu.be\/0keO_ByxMEE\">https:\/\/youtu.be\/0keO_ByxMEE<\/a><\/li>\n<li>Class 09:\u00a0HW from Sections 10.6, 10.7 and 10.8 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>. Lecture on 12.1 and 12.2. Video: <a href=\"https:\/\/youtu.be\/K0J6WHQwLQQ\">https:\/\/youtu.be\/K0J6WHQwLQQ<\/a><\/li>\n<li>Class 08: No written HW due, read 12.1 and 12.1 (skipping Chapter 11). Taylor Series II and Series Review:\u00a0<a href=\"https:\/\/youtu.be\/KevnjvST4Kg\">https:\/\/youtu.be\/KevnjvST4Kg<\/a><\/li>\n<li>Class 07: 2\/20: Taylor Series and hand in HW from Sections 10.4 and 10.5 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>.\u00a0 <a href=\"https:\/\/youtu.be\/pLqCQFS9KMM\">https:\/\/youtu.be\/pLqCQFS9KMM<\/a><\/li>\n<li>Class 06: 2\/15: Sequences and Series (Alternating, Ratio and Root Tests): https:\/\/youtu.be\/kOIOjyHQtNc and hand in HW from Sections 10.1, 10.2, 10.3 in <a href=\"https:\/\/sites.williams.edu\/sjm1\/files\/2023\/02\/HWProbs_Math150_Sp2023.pdf\">HW Problems file<\/a>.<\/li>\n<li>Class 05: 2\/13: Sequences and Series: Definitions, Basic Properties, Integral Test, L&#8217;Hopital: <a href=\"https:\/\/youtu.be\/gtLVCKB32B8\">https:\/\/youtu.be\/gtLVCKB32B8<\/a><\/li>\n<li>Class 04: Introduction to Sequences and Series: <a href=\"https:\/\/youtu.be\/-FGp2M9tMO4\">https:\/\/youtu.be\/-FGp2M9tMO4<\/a><\/li>\n<li dir=\"ltr\">Class 03: Review of Calc I and II: <a href=\"https:\/\/youtu.be\/ICj4EdLh4Ak\">https:\/\/youtu.be\/ICj4EdLh4Ak<\/a><\/li>\n<li>Class 02: Review of Calc I:\u00a0<a href=\"https:\/\/youtu.be\/C73M7A-KN54\" target=\"_blank\" rel=\"noopener\">https:\/\/youtu.be\/C73M7A-KN54<\/a><\/li>\n<li dir=\"ltr\">Class 01: Introduction:\u00a0<a href=\"https:\/\/youtu.be\/tEkxqje0_A8\" target=\"_blank\" rel=\"noopener\">https:\/\/youtu.be\/tEkxqje0_A8<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Math 150 Spring 2023 Old webpage: https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/ Slides: https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/Math150Sp23LectureNotes.pdf Homework Problems: HWSolns_Math150_Sp2023\u00a0(all HW due at the start of class; late, messy or unstapled HW not accepted) Homework Solutions: https:\/\/web.williams.edu\/Mathematics\/sjmiller\/public_html\/150Sp23\/hwsolns\/HWSolns_Math150_Sp2023.pdf Videos and HW Assignments: Class 35: 5\/10: HW from Section 15.6. &hellip; <a href=\"https:\/\/sites.williams.edu\/sjm1\/math-150-sp23\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2861,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-5","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/pages\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/users\/2861"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":53,"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":114,"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/pages\/5\/revisions\/114"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/sjm1\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}