{"id":32,"date":"2017-06-02T12:20:30","date_gmt":"2017-06-02T19:20:30","guid":{"rendered":"https:\/\/blogs.ubc.ca\/2017math105\/?page_id=32"},"modified":"2017-07-26T22:12:00","modified_gmt":"2017-07-27T05:12:00","slug":"course-schedule","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/2017math105\/course-schedule\/","title":{"rendered":"Course Schedule"},"content":{"rendered":"

Below is a (tentative) schedule of the course topics.<\/p>\n\n\n\n\n\n\n\n\n\n
Week #<\/th>\nMonday<\/th>\nWednesday<\/th>\nThursday<\/th>\nFriday<\/th>\n<\/tr>\n
1<\/td>\n\u00a0 No classes.<\/td>\nAreas under curves, approximating areas.<\/td>\n\u00a0Sigma notation, Riemann sums, numerical integration.<\/td>\n\u00a0Numerical integration (cont’d), integrability.<\/td>\n<\/tr>\n
2<\/td>\nThe Fundamental Theorem of Calculus.<\/td>\nMethods of integration: substitution, trigonometric integrals.<\/td>\n\u00a0Methods of integration: trigonometric substitution, integration by parts.<\/td>\n\u00a0Methods of integration: partial fractions. Basic applications of integration.<\/td>\n<\/tr>\n
3<\/td>\n\u00a0Improper integrals, applications of integration: probability.<\/td>\n\u00a0In-class\u00a0midterm<\/strong> (July 19).<\/td>\n\u00a0Applications of integration: probability.<\/td>\n\u00a0Sequences, convergence of sequences, series, partial sums, geometric series.<\/td>\n<\/tr>\n
4<\/td>\n\u00a0Tests for convergence of series: divergence test, comparison and limit comparison tests, ratio test.<\/td>\nTests for convergence of series: integral test, p-series.<\/td>\nAlternating series, absolute and conditional convergence, alternating series test.<\/td>\nPower series, interval and radius of convergence, power series representations of functions.<\/td>\n<\/tr>\n
5<\/td>\nManipulations of power series, Taylor series.\u00a0Taylor’s Theorem.<\/td>\nApplications of Taylor series.<\/td>\nIntroduction to multivariable calculus: vectors, functions of two variables.<\/td>\nPartial derivatives, directional derivatives, the gradient, tangent planes.<\/td>\n<\/tr>\n
6<\/td>\nHoliday — no class.<\/strong><\/td>\n\u00a0Critical points and the second derivatives test.<\/td>\n\u00a0General multivariable optimization problems, constrained optimization problems: Lagrange multipliers.<\/td>\nConstrained optimization problems with Lagrange multipliers (cont’d).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

The university has scheduled our final exam to be on August 16th at 12pm in ANGU 098<\/strong>.<\/p>\n

 <\/p>\n

 <\/p>\n

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 <\/p>\n","protected":false},"excerpt":{"rendered":"

Below is a (tentative) schedule of the course topics. Week # Monday Wednesday Thursday Friday 1 \u00a0 No classes. Areas under curves, approximating areas. \u00a0Sigma notation, Riemann sums, numerical integration. \u00a0Numerical integration (cont’d), integrability. 2 The Fundamental Theorem of Calculus. Methods of integration: substitution, trigonometric integrals. \u00a0Methods of integration: trigonometric substitution, integration by parts. \u00a0Methods […]<\/p>\n","protected":false},"author":23065,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-32","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/pages\/32","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/users\/23065"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":7,"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/pages\/32\/revisions"}],"predecessor-version":[{"id":165,"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/pages\/32\/revisions\/165"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/2017math105\/wp-json\/wp\/v2\/media?parent=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}