{"id":9,"date":"2017-12-06T14:12:19","date_gmt":"2017-12-06T14:12:19","guid":{"rendered":"http:\/\/sites.rutgers.edu\/professor-example\/?page_id=9"},"modified":"2020-04-03T22:24:00","modified_gmt":"2020-04-03T22:24:00","slug":"lectures","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/sheila-tabanli\/lectures\/","title":{"rendered":"Lecture Notes"},"content":{"rendered":"<p><strong>LECTURE NOTES FOR SPRING 2020<\/strong><\/p>\n<p>Lectures are prepared by following the <a href=\"https:\/\/www.math.rutgers.edu\/academics\/undergraduate\/courses\/course-materials\/135\/1579-syllabus-spring-2020#schedule\">Lecture Schedule<\/a> from the\u00a0Textbook (<em>Calculus: Special Edition: Chapters 1-5, 7th edition,<\/em>\u00a0Smith, Strauss, and Toda. Kendall Hunt, 2018). (ISBN: 978-1524971359).<\/p>\n<p><strong>Lecture #1 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/01\/Day1-Algebra-Review.pdf\">Algebra Review<\/a><\/strong><\/p>\n<p><strong>Lecture #2 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/01\/lecture2-1.pdf\">2.1 The Limit of a Function<\/a><\/strong><\/p>\n<p><strong>Lecture #3 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/2-2.pdf\">2.2 Algebraic Computations of Limits<\/a><\/strong><\/p>\n<p><strong>Lecture #4 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/2-3-Continuity.pdf\">2-3 Continuity<\/a><\/strong><\/p>\n<p><strong>Lecture #5 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/3-1-Introduction-to-Derivatives.pdf\">3-1 Introduction to Derivatives<\/a><\/strong><\/p>\n<p><strong>Lecture #6 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/3-2_3-Derivative-Rules.pdf\">3-2, 3-3 Techniques of Differentiation<\/a> <\/strong><\/p>\n<p><strong>Lecture #7 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/3-5-Chain-Rule-1.pdf\">3-5 Chain Rule<\/a><\/strong><\/p>\n<p><strong>Lecture #8 &#8211;<\/strong> <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/Midterm1-Review.pdf\"><strong>Midterm#1-Review<\/strong><\/a><\/p>\n<p><strong>Lecture #9 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/3-6-Implicit-Differentiation.pdf\">3-6 Implicit Differentiation<\/a><\/strong><\/p>\n<p><strong>Lecture #10 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/02\/3-7-Related-Rates-and-Applications.pdf\">3-7 Related Rates and Applications<\/a><\/strong><\/p>\n<ul>\n<li><strong><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/Supplementary-Problem.-3.7.pdf\">Section 3.7 Supplementary Questions\u00a0<\/a><\/strong><\/li>\n<\/ul>\n<p><strong>Lecture #11 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/3-8-Linearization-and-Differentials.pdf\">3-8 Linearization and Differentials<\/a><\/strong><\/p>\n<p><strong>Lecture #12 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/3-8-Error-Propagation-4.4-Limits-Involving-Infinity.pdf\">3-8 Error Propagation &#8211; 4.4 Limits Involving Infinity<\/a><\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/Supplementary-Problem.-4.4.pdf\"><strong>Section 4.4 &#8211; Supplementary Question<\/strong><\/a><\/li>\n<\/ul>\n<p><strong>Lecture #13 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/4-5-LHopitals-Rule.pdf\">4-5 L&#8217;Hopital&#8217;s Rule<\/a><\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/Supplementary-Problem.-4.5.pdf\"><strong>Section 4.5 Supplementary Question<\/strong><\/a><\/li>\n<\/ul>\n<p><strong>Lecture #14 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/4-1-Extreme-Values.pdf\">4-1 Extreme Values<\/a><\/strong><\/p>\n<p><strong>Lecture #15 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/Midterm2-Review-1.pdf\">Midterm2-Review<\/a>\u00a0<\/strong><\/p>\n<p><strong>Lecture #16 &#8211; <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/10\/4.3-Using-Derivatives-to-Sketch-the-Graph-of-a-Function-1.pdf\">4.3 Using Derivatives to Sketch the Graph of a Function<\/a><\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/03\/4-3-Part1-Poll-Qs.pdf\">You Try It Questions- Part I<\/a><\/li>\n<\/ul>\n<p><strong>Lecture #17 &#8211; <\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/04\/4-3-Part2-Poll-Qs.pdf\">You Try It Questions &#8211; Part2<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/04\/Worksheet___4_3.pdf\">Worksheet 4.3<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2020\/04\/Worksheet_4_3__answer_key_.pdf\">Worksheet 4.3 Answer Key<\/a><\/li>\n<\/ul>\n<blockquote><p><em><strong>Please note the below are static lecture notes, worksheets and &#8220;you try it\/pooling questions will be added later&#8221;<\/strong><\/em><\/p><\/blockquote>\n<p><strong>Lecture #18 \u2013 <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/4.6.-Optimization-in-Physics-Life-Sciences.pdf\">4.6 Optimization in Physical Sciences and Life Sciences<\/a> \/ <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/4.6-Supplementary-Problem.pdf\">Supplementary Problem<\/a><\/strong><\/p>\n<p><strong>Lecture #19 \u2013 <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/4.7.-optimization-in-Business-Business-principles.pdf\">4.7 Optimization in Business and Economics<\/a> <\/strong><\/p>\n<p><strong><a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/Word-Problems-Practice.pdf\">Word problems practice: (optimization, related rates, linear approximation)<\/a><\/strong><\/p>\n<p><strong>Lecture #23- <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/Theorem-Antiderivatives-of-a-function-differ-by-a-constant.pdf\">5.1 Antiderivatives, Indefinite Integrals<\/a><\/strong><\/p>\n<p><strong>Lecture #24- <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/5-2_3.pdf\"> 5.2, 5.3 Reimann Sums, Definite Integrals<\/a><\/strong><\/p>\n<p><strong>Lecture #25- <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/11\/5.4.-Fundamental-Theorem-of-Calculus.pdf\">5.4. Fundamental Theorem of Calculus<\/a><\/strong><\/p>\n<p><strong>Lecture #26-<\/strong>\u00a0<strong>Midterm#3 Review<\/strong><\/p>\n<p><strong>Midterm#3 &#8211;\u00a0 Sections 4.1, 4.3, 4.6, 4.7, 5.1, 5.2, 5.3 (Sunday, 4\/26 check Canvas announcements)<\/strong><\/p>\n<p><strong>Lecture #27- <a href=\"http:\/\/sites.rutgers.edu\/sheila-tabanli\/wp-content\/uploads\/sites\/285\/2019\/12\/5-5.pdf\">5.5 Integration by Substitution<\/a><\/strong><\/p>\n<p><strong>Lecture #28- FINAL REVIEW<\/strong><\/p>\n<p><strong>Lecture #29- FINAL REVIEW<\/strong><\/p>\n<p><strong>FINAL &#8211; CUMULATIVE (check Canvas announcements)<\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>LECTURE NOTES FOR SPRING 2020 Lectures are prepared by following the Lecture Schedule from the\u00a0Textbook (Calculus: Special Edition: Chapters 1-5, 7th edition,\u00a0Smith, Strauss, and Toda. Kendall Hunt, 2018). (ISBN: 978-1524971359). &hellip; <a href=\"https:\/\/sites.rutgers.edu\/sheila-tabanli\/lectures\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-9","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Lecture Notes - Sheila Tabanli<\/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:\/\/sites.rutgers.edu\/sheila-tabanli\/lectures\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lecture Notes - Sheila Tabanli\" \/>\n<meta property=\"og:description\" content=\"LECTURE NOTES FOR SPRING 2020 Lectures are prepared by following the Lecture Schedule from the\u00a0Textbook (Calculus: Special Edition: Chapters 1-5, 7th edition,\u00a0Smith, Strauss, and Toda. 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