{"id":1180,"date":"2020-06-18T17:31:26","date_gmt":"2020-06-18T17:31:26","guid":{"rendered":"https:\/\/people.utm.my\/nurarina\/?page_id=1180"},"modified":"2020-06-22T10:41:23","modified_gmt":"2020-06-22T10:41:23","slug":"weekly-schedule-lesson-plan-2","status":"publish","type":"page","link":"https:\/\/people.utm.my\/nurarina\/weekly-schedule-lesson-plan-2\/","title":{"rendered":"Weekly Schedule [Engineering Mathematics 1]"},"content":{"rendered":"

[vc_row][vc_column][vc_column_text]<\/p>\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

\nWeek 1\u00a0<\/em><\/span><\/strong><\/td>\n<\/tr>\n
First order ordinary differential equations:<\/strong> Definition and classification of differential equations. Basic ideas; solutions of differential equations, initial and boundary value problems. Solving separable and linear equations.<\/td>\n<\/tr>\n

\nWeek 2\u00a0<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Methods of solution of homogeneous equations, exact equations, Bernoulli equations and other substitutions.<\/td>\n<\/tr>\n

\nWeek 3\u00a0<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Applications such as law of cooling , the free fall and chemical reactions.<\/td>\n<\/tr>\n

\nWeek 4<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Linear second order ordinary differential equations with constant<\/strong>
\ncoefficients:<\/strong> Second order homogeneous differential equations. Solution of nonhomogenous equations. Method of undetermined coefficients.<\/td>\n<\/tr>\n

\nWeek 5<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Method of variation of parameters. Solving higher order ODE\u2019s up to fourth order using method of the undetermined coefficients.<\/td>\n<\/tr>\n

\nWeek 6\u00a0<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Applications of second order differential equations: mechanical vibrations, damped and undamped free vibrations, and electrical circuits, circuits with and without impedance\/resistance.<\/td>\n<\/tr>\n

\nWeek 7\u00a0<\/span><\/strong><\/em><\/td>\n<\/tr>\n
Laplace transforms:<\/strong> Definition of Laplace transforms, derivation of Laplace transforms for standard elementary functions. Linearity property, first shifting theorem, multiplication by t^n.
\nTest 1 (15%)\u00a0<\/strong><\/td>\n<\/tr>\n

\nWeek 8<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Laplace transforms of unit step functions, Laplace transforms of Delta Dirac functions, Second shifting Theorem, Laplace transforms of the derivatives.
\n<\/strong><\/td>\n<\/tr>\n

\nWeek 9\u00a0<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Inverse Laplace transforms and Convolution theorem.<\/td>\n<\/tr>\n

\nWeek 10<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Solving initial value problems ( IVP), boundary value problems (BVP) and system of differential equation using Laplace transform.<\/td>\n<\/tr>\n

\nWeek 11<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Fourier series:<\/strong> Graph sketching of periodic functions, even and odd functions. Fourier series for periodic functions.<\/td>\n<\/tr>\n

\nWeek 12<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Fourier series for even and odd functions, Half-range Fourier series.
\nTest 2 (20%)
\n<\/strong><\/td>\n<\/tr>\n

\nWeek 13<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Partial differential equations.<\/strong> Basic concepts, classifications. Method of d\u2019Alembert for solving wave equations.<\/td>\n<\/tr>\n

\nWeek 14<\/em><\/span><\/strong><\/td>\n<\/tr>\n
Method of separation of variables for solving heat equation (consolidation theory), wave equations.Method of separation of variables for solving Laplace equations.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"

[vc_row][vc_column][vc_column_text] Week 1\u00a0 First order ordinary differential equations: Definition and classification of differential equations. Basic ideas; solutions of differential equations, initial and boundary value problems. Solving separable and linear equations. Week 2\u00a0 Methods of solution of homogeneous equations, exact equations, Bernoulli equations and other substitutions. Week 3\u00a0 Applications such as law of cooling , the […]<\/p>\n","protected":false},"author":15797,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-1180","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/pages\/1180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/users\/15797"}],"replies":[{"embeddable":true,"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/comments?post=1180"}],"version-history":[{"count":8,"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/pages\/1180\/revisions"}],"predecessor-version":[{"id":1233,"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/pages\/1180\/revisions\/1233"}],"wp:attachment":[{"href":"https:\/\/people.utm.my\/nurarina\/wp-json\/wp\/v2\/media?parent=1180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}