{"id":11,"date":"2012-09-05T11:20:44","date_gmt":"2012-09-05T15:20:44","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=11"},"modified":"2026-03-19T08:16:49","modified_gmt":"2026-03-19T12:16:49","slug":"2302s14","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/vatter\/past-courses\/2302s14\/","title":{"rendered":"Differential Equations S13"},"content":{"rendered":"\r\n
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Differential Equations S13<\/h1>\n\n\n\n

MAP 2302: Elementary Differential Equations<\/p>\n\n\n\n\n\n

University of Florida, Spring 2014<\/p>\n\n\n\n\n\n

LIT 113, MWF9 (4:05-4:55)<\/p>\n\n\n\n

Instructor information:<\/h4>\n\n\n\n

Vince Vatter<\/a><\/p>\n\n\n\n\n\n

Office: Little Hall 412
\nOffice hours: Mondays and Wednesdays 3:00\u20133:55, and by appointment
\nOffice phone: (352) 294-2338
\nEmail: vatter at ufl dot edu<\/p>\n\n\n\n

Text:<\/h4>\n\n\n\n

Fundamentals of Differential Equations and Boundary Value Problems<\/i>, 6th edition, by Nagle, Saff, and Snider.<\/p>\n\n\n\n

Course Objectives:<\/h4>\n\n\n\n

First-order ordinary differential equations, theory of linear ordinary differential equations, solution of linear ordinary differential equations with constant coefficients, the Laplace transform and its application to solving linear ordinary differential equations.<\/p>\n\n\n\n

Grading:<\/h4>\n\n\n\n

We will have four in-class midterm exams and a comprehensive final exam. The dates of the in-class midterm exams are:<\/p>\n\n\n\n

  • Monday, January 27,<\/li>\n
  • Monday, February 17,<\/li>\n
  • Monday, March 24, and<\/li>\n
  • Friday, April 18.<\/li><\/ul>\n\n\n\n

    The midterms will collectively count for 70% of your grade. The final exam will count for 30%. No scores will be dropped.<\/strong><\/p>\n\n\n\n\n\n

    The final grades will be curved, but will be no tougher than the 10-point scale: 90%\u2013100% will be some form of A, 80\u201390% will be at least some form of B, etc. After each midterm, you will receive a projected grade.<\/p>\n\n\n\n\n\n

    If you have a disagreement with the grading of one of your solutions, I ask that you submit a written request for reconsideration within one month.<\/p>\n\n\n\n

    Tentative Schedule:<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
    Lecture<\/th>\nDate<\/th>\nTopics<\/th>\nSection(s)<\/th>\n<\/tr>\n
    1<\/td>\nM 1\/6<\/td>\nIntroduction<\/td>\n1.3 & 2.2<\/td>\n<\/tr>\n
    2<\/td>\nW 1\/8<\/td>\nSeparable equations
    \nSuggested exercises: 1\u201321 odds<\/td>\n    		2.2<\/td>\n<\/tr>\n
    3<\/td>\nF 1\/10<\/td>\nLinear equations
    \nSuggested exercises: 1\u201321 odds<\/td>\n    		2.3<\/td>\n<\/tr>\n
    4<\/td>\nM 1\/13<\/td>\nExplicit & implicit solutions
    \nSuggested exercises: 1, 3, 5, 7, 15 , 23, 25, 27 (Section 1.2)<\/td>\n    		1.2<\/td>\n<\/tr>\n
    5<\/td>\nW 1\/15<\/td>\nExact equations
    \nSuggested exercises: 1\u201315 odds, 21, 23<\/td>\n    		2.4<\/td>\n<\/tr>\n
    6<\/td>\nF 1\/17<\/td>\nHomogeneous equations
    \nSuggested exercises: 9\u201315 odds<\/td>\n    		2.6<\/td>\n<\/tr>\n
    <\/td>\nM 1\/20<\/td>\nClass canceled for Martin Luther King Jr. Day<\/i><\/td>\n<\/td>\n<\/tr>\n
    7<\/td>\nW 1\/22<\/td>\nBernoulli equations and equations of the form dy\/dx = G(ax+by)<\/i>
    \nSuggested exercises: 1\u20137 odds, 17\u201339 odds<\/td>\n    		2.6<\/td>\n<\/tr>\n
    <\/td>\nF 1\/24<\/td>\nClass canceled due to stupid substitute forgetting to show up<\/i><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nM 1\/27<\/td>\nReview for Midterm #1: practice problems<\/a>, solutions<\/a><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nW 1\/29<\/td>\nMidterm #1<\/strong><\/td>\n<\/td>\n<\/tr>\n
    8<\/td>\nF 1\/31<\/td>\nSecond-order linear homogeneous differential equations I
    \nSuggested exercises: 1\u201319 odds (Section 4.2) and 9\u201327 odds (Section 4.3)<\/td>\n    		4.2 & 4.3<\/td>\n<\/tr>\n
    9<\/td>\nM 2\/3<\/td>\nSecond-order linear homogeneous differential equations II
    \nSuggested exercises: 1\u201319 odds (Section 4.2) and 9\u201327 odds (Section 4.3)<\/td>\n    		4.2 & 4.3<\/td>\n<\/tr>\n
    10<\/td>\nW 2\/5<\/td>\nThe method of undetermined coefficients I
    \nSuggested exercises: 9, 11, 13, 15 (Section 4.4) and 3, 5, 7, 17, 19 (Section 4.5)<\/td>\n    		4.4 & 4.5<\/td>\n<\/tr>\n
    11<\/td>\nF 2\/7<\/td>\nThe method of undetermined coefficients II
    \nSuggested exercises: 17, 19, 21 (Section 4.4) and 23\u201329 odds (Section 4.5)<\/td>\n    		4.4 & 4.5<\/td>\n<\/tr>\n
    12<\/td>\nM 2\/10<\/td>\nVariation of parameters I
    \nSuggested exercises: 1\u2013 17 odds<\/td>\n    		4.6<\/td>\n<\/tr>\n
    13<\/td>\nW 2\/12<\/td>\nVariation of parameters II
    \npractice problems<\/a>,\u00a0solutions<\/a><\/td>\n    		4.6<\/td>\n<\/tr>\n
    <\/td>\nF 2\/14<\/td>\nReview for Midterm #2:\u00a0practice problems<\/a>,\u00a0solutions<\/a><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nM 2\/17<\/td>\nMidterm #2<\/strong><\/td>\n<\/td>\n<\/tr>\n
    14<\/td>\nW 2\/19<\/td>\nThe Laplace transform I
    \nSuggested exercises: none!<\/td>\n    		7.2 & 7.3<\/td>\n<\/tr>\n
    15<\/td>\nF 2\/21<\/td>\nThe Laplace transform II
    \nSuggested exercises: 1\u201311 odds (Section 7.2) and 1\u201321 odds (Section 7.3)<\/td>\n    		7.2 & 7.3<\/td>\n<\/tr>\n
    16<\/td>\nM 2\/24<\/td>\nThe inverse Laplace transform
    \nSuggested exercises: 1\u201329 odds<\/td>\n    		7.4<\/td>\n<\/tr>\n
    17<\/td>\nW 2\/26<\/td>\nSolving IVPs with the Laplace transform
    \nSuggested exercises: 15\u201323 odds<\/td>\n    		7.5<\/td>\n<\/tr>\n
    <\/td>\nF 2\/28<\/td>\nReview: problems<\/a>, solutions<\/a><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\n<\/td>\nSpring Break<\/i><\/td>\n<\/td>\n<\/tr>\n
    18<\/td>\nM 3\/10<\/td>\nPiecewise and periodic functions I
    \nSuggested exercises: 1\u201317 odds, 29, 31 (piecewise functions)<\/td>\n    		7.6<\/td>\n<\/tr>\n
    19<\/td>\nW 3\/12<\/td>\nPiecewise and periodic functions II
    \nSuggested exercises: 21\u201331 odds, 41 (periodic functions)<\/td>\n    		7.6<\/td>\n<\/tr>\n
    <\/td>\nF 3\/14<\/td>\nReview: problems<\/a>, solutions<\/a><\/td>\n<\/td>\n<\/tr>\n
    20<\/td>\nM 3\/17<\/td>\nImpulses and the Dirac Delta
    \nSuggested exercises: 1\u201319 odds<\/td>\n    		7.8<\/td>\n<\/tr>\n
    21<\/td>\nW 3\/19<\/td>\nConvolution
    \nSuggested exercises: 1-21 odds<\/td>\n    		7.7<\/td>\n<\/tr>\n
    <\/td>\nF 3\/21<\/td>\nReview for Midterm #3: practice problems<\/a>, solutions<\/a><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nM 3\/24<\/td>\nMidterm #3<\/strong>: official formula sheet<\/a><\/td>\n<\/td>\n<\/tr>\n
    22<\/td>\nW 3\/26<\/td>\nReview of power series
    \nSuggested exercises: none, but please do practice with Taylor series<\/td>\n    		8.2<\/td>\n<\/tr>\n
    23<\/td>\nF 3\/28<\/td>\nPower series solutions to ODEs
    \nSuggested exercises: 11\u201327 odds.<\/td>\n    		8.3<\/td>\n<\/tr>\n
    24<\/td>\nM 3\/31<\/td>\nMore of the same
    \nSuggested exercises: 13, 15, 21, 23, 29<\/td>\n    		8.4<\/td>\n<\/tr>\n
    25<\/td>\nW 4\/2<\/td>\nCauchy-Euler equations
    \nSuggested exercises: 1\u20139 odds<\/td>\n    		8.5<\/td>\n<\/tr>\n
    26<\/td>\nF 4\/4<\/td>\nSprings and the mass-spring analogy
    \nSuggested exercises: 11, 15 (Section 4.8)<\/td>\n    		4.1 & 4.8 (pgs. 206\u2013209 only)<\/td>\n<\/tr>\n
    27<\/td>\nM 4\/7<\/td>\nFree mechanical vibrations I
    \nSuggested exercises: 1\u201313 odds<\/td>\n    		4.9<\/td>\n<\/tr>\n
    28<\/td>\nW 4\/9<\/td>\nFree mechanical vibrations II<\/td>\n4.9<\/td>\n<\/tr>\n
    29<\/td>\nF 4\/11<\/td>\nForced mechanical vibrations I<\/td>\n4.10<\/td>\n<\/tr>\n
    30<\/td>\nM 4\/14<\/td>\nForced mechanical vibrations II<\/td>\n4.10<\/td>\n<\/tr>\n
    <\/td>\nW 4\/16<\/td>\nReview for Midterm #4: practice problems<\/a>, solutions<\/a><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nF 4\/18<\/td>\nMidterm #4 <\/strong>: official formula sheet<\/a><\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nM 4\/21<\/td>\nReview for Final Exam I<\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nW 4\/23<\/td>\nReview for Final Exam II<\/td>\n<\/td>\n<\/tr>\n
    <\/td>\nTh 5\/1<\/td>\nFinal Exam, 5:30 p.m. \u2013 7:30 p.m.<\/strong><\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":11,"featured_media":0,"parent":216,"menu_order":131,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-11","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/pages\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":12,"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":1150,"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/pages\/11\/revisions\/1150"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/pages\/216"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/vatter\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}