{"id":2,"date":"2018-08-29T20:20:36","date_gmt":"2018-08-29T20:20:36","guid":{"rendered":"https:\/\/blogs.ubc.ca\/math215and255s104\/?page_id=2"},"modified":"2018-12-03T20:04:49","modified_gmt":"2018-12-04T03:04:49","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/math215and255s104\/sample-page\/","title":{"rendered":"Lecture Notes"},"content":{"rendered":"

This page contains the notes from each class and any additional material useful for your study and exam preparation. The numbers are the textbook sections to read for each week.<\/p>\n

Week 13:<\/strong>
\nMonday<\/em>:\u00a0Lecture 33: LT of the unit step function and its application\u00a0<\/a>\u00a0 S6.2.3<\/span><\/span>
\nWednesday<\/em>:\u00a0Lecture 34: LT of Dirac delta function<\/a><\/span>
\nFriday<\/em>:\u00a0Lecture 35: Final Review<\/a>\u00a0,\u00a0Solution<\/a>\u00a0(to some of the practice problems)<\/span><\/span><\/p>\n

\u00a0Week 12: <\/strong>Laplace Transform: S6.1-6.2
\nMonday<\/em>:\u00a0Lecture 30: Pendulum motion<\/a><\/span>\u00a0(cont’d)
\nWednesday<\/em>:\u00a0Lecture 31: Laplace Transform<\/a>\u00a0\u00a0<\/span>
\nFriday<\/em>:\u00a0Lecture 32: Inverse of Laplace transform<\/a>\u00a0<\/span><\/p>\n

Week 11:<\/strong>
\nMonday<\/em>: Remembrance day<\/span>
\nWednesday<\/em>: Midterm Review<\/a><\/span>
\nFriday<\/em>: Midterm 2 in class<\/p>\n

Week 10: <\/strong>Nonlinear systems: S 8.1-8.3
\nMonday<\/em>:\u00a0Lecture 26: Damped forced vibrations<\/a><\/span>
\nWednesday<\/em>: Lecture 27: Nonlinear systems and their linearization<\/a>\u00a0<\/span>
\nFriday<\/em>:\u00a0Lecture 28: Competing species and damped pendulum<\/a><\/span><\/p>\n

Week 9: <\/strong>Chapter 2 except 2.3
\nMonday<\/em>:\u00a0Lecture 23: Forced (non-homogeneous) 2nd order ode<\/a><\/span>
\nWednesday<\/em>:\u00a0Lecture 24: More about undetermined coefficients<\/a><\/span>
\nFriday<\/em>:\u00a0Lecture 25: Undamped forced vibrations (beats and resonance)<\/a><\/span><\/p>\n

Week 8:<\/strong>
\nMonday<\/em>:\u00a0Lecture 20: Non-homogenous systems<\/a><\/span>\u00a0(Method of undetermined coefficients)
\nWednesday<\/em>:\u00a0Lecture 21: Second-order ODE and physical applications<\/a>\u00a0Chapter 2<\/span><\/span>
\nFriday<\/em>:\u00a0Lecture 22: Undamped and damped vibrations<\/a>\u00a0\u00a0Chapter 2<\/span><\/span><\/p>\n

Week 7: <\/strong>(3.8, 3.9)
\nMonday:<\/em>\u00a0Lecture 17: Fundamental Matrix and Wronskian<\/a><\/span>
\nWednesday:<\/em>\u00a0Lecture 18: Matrix Exponential<\/a><\/span>
\nFriday<\/em>:\u00a0Lecture 19: Non-homogenous systems<\/a>\u00a0<\/span>(Method of variation of parameters)<\/p>\n

Week 6: Midterm1<\/strong>
\nMonday<\/em>: Turkey Day!<\/span> \ud83d\ude42
\nWednesday<\/em>: Midterm Review<\/a><\/span>
\nFriday<\/em>: Midterm 1 in class<\/p>\n

Week 5: <\/strong>(3.4, 3.5, 3.7)
\nMonday<\/em>:\u00a0Lecture 12: ODE system with complex eigenvalues<\/a><\/span>
\nWednesday<\/em>:\u00a0Lecture 13: systems with complex eigval\u00a0cont’d\u00a0and their\u00a0vector fields\u00a0<\/a>\u00a0(Midterm up to the end of this lecture)<\/span><\/span>
\nFriday<\/em>:\u00a0Lecture 14: systems with a repeated eigenvalue<\/a><\/span>\u00a0(also special case when one eigenvalue is 0).<\/p>\n

Week 4: <\/strong>(1.7, 3.1, 3.4)
\nMonday<\/em>: Lecture 9: Euler and Improved Euler Method<\/a><\/span>
\nWednesday<\/em>:\u00a0Lecture 10: ODE systems (two distinct real eigenvalues)<\/a><\/span>
\nFriday<\/em>:\u00a0Lecture 11: Stability and vector fields in ODE systems<\/a><\/span>\u00a0(2*2 case: two real eigenvalues) \u00a0This lecture is edited and re-uploaded with some changes,\u00a0check if you have the correct version.<\/em><\/span><\/p>\n

Week 3: <\/strong>(1.2, 1.8, 1.7)
\nMonday: <\/em>Lecture 6: Stability (cont’d), Picard’s Thm<\/a>\u00a0<\/span>(existence and uniqueness)
\nWednesday<\/em>:\u00a0Lecture 7: Exact equations<\/a><\/span>
\nFriday<\/em>:\u00a0Lecture 8: Integrating factor for non-exact equations<\/a><\/span><\/p>\n

Week 2: <\/strong>(1.4, 1.2, 1.6)
\nMonday<\/em>:\u00a0Lecture 3: Integrating factor<\/a><\/span>\u00a0(cont’d)
\nWednesday<\/em>:\u00a0Lecture 4: Slope\/direction field<\/a><\/span>\u00a0<\/span>(Falling object model)
\nFriday<\/em>:\u00a0Lecture 5: Stability of steady states<\/a><\/span><\/p>\n

Week 1: <\/strong>(0.2, 1.1, 1.3, 1.4)
\nMonday<\/em>: Labour day
\nWednesday<\/em>:\u00a0Lecture 1: Intro to ODE<\/a><\/span>
\nFriday<\/em>: Lecture 2: Separable eqt, integrating factor<\/a><\/span>
\nIntegral Cheat Sheet<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

This page contains the notes from each class and any additional material useful for your study and exam preparation. The numbers are the textbook sections to read for each week. Week 13: Monday:\u00a0Lecture 33: LT of the unit step function … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":42486,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/users\/42486"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":54,"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":138,"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/pages\/2\/revisions\/138"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/math215and255s104\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}