{"ModuleCode":"TC2401","ModuleTitle":"Mathematics II","Department":"Bachelor Of Technology Programme","ModuleCredit":"4","Prerequisite":"TC1401","Preclusion":"TC1402","Types":["Module"],"Lecturers":["Yang Kun-Lin"],"IVLE":[{"Announcements":null,"Forums":[],"Workbins":[],"Webcasts":[],"Gradebooks":[],"Polls":[],"Multimedia":[],"LessonPlan":[],"ID":"8630a93a-9299-47d5-b24f-d1dae37e912d","CourseLevel":"1","CourseCode":"TC2401","CourseName":"MATHEMATICS II","CourseDepartment":"","CourseSemester":"Semester 3","CourseAcadYear":"2014/2015","CourseOpenDate":"/Date(1431100800000+0800)/","CourseOpenDate_js":"2015-05-09T00:00:00","CourseCloseDate":"/Date(1438358340000+0800)/","CourseCloseDate_js":"2015-07-31T23:59:00","CourseMC":"0","isActive":"Y","Permission":"S","Creator":{"UserID":null,"Name":"Yang Kun-Lin","Email":null,"Title":null,"UserGuid":"9d4a2f39-1820-456e-8e97-3e12e8e25431","AccountType":null},"hasGradebookItems":true,"hasTimetableItems":true,"hasGroupsItems":false,"hasClassGroupsForSignUp":false,"hasGuestRosterItems":false,"hasClassRosterItems":true,"hasWeblinkItems":false,"hasLecturerItems":true,"hasDescriptionItems":true,"hasReadingItems":false,"hasAnnouncementItems":false,"hasProjectGroupItems":false,"hasProjectGroupsForSignUp":false,"hasConsultationItems":false,"hasConsultationSlotsForSignUp":false,"hasLessonPlanItems":false,"Badge":0,"BadgeAnnouncement":0,"WebLinks":[],"Lecturers":[{"ID":"a7c2b292-fa8e-441b-b093-112259820d75","User":{"UserID":null,"Name":"Yang Kun-Lin","Email":null,"Title":null,"UserGuid":"9d4a2f39-1820-456e-8e97-3e12e8e25431","AccountType":null},"Role":"Lecturer ","Order":1,"ConsultHrs":null},{"ID":"ca346093-d5af-4b94-8d49-f38a83ae4a84","User":{"UserID":null,"Name":"NG CHOONG HEY","Email":null,"Title":null,"UserGuid":"5098e3a6-de78-487d-8050-47fdf92e62f7","AccountType":null},"Role":"Tutor ","Order":2,"ConsultHrs":null}],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"1. Evaluate the convergence of power series through a number of convergence tests.
\r\n
\r\n2. Obtain Power and Fourier series.
\r\n
\r\n3. Obtain analytical solutions (where they exist) and power series solutions of ODEs in chemical engineering.
\r\n
\r\n4. Perform Laplace transform and the use of Laplace transform in solving ODEs.
\r\n
\r\n5. Understand basic vector and matrix algebra as applied to engineering problems.
\r\n ","Order":1},{"ID":"2e5f053b-8835-4692-be49-41f07234cfff","Title":"Prerequisites","Description":"TC1401","Order":2},{"ID":"5e5f053b-8835-4692-be49-41f07234cfff","Title":"Synopsis","Description":"This course introduces students to the various analytical techniques to solving ordinary differential equations that occur commonly in chemical engineering processes. The module starts with a review of sequences and series and their convergence. This is followed by a treatment of power series and Fourier series in preparation for series solutions of differential equations. Analytical solutions of ordinary differential equations are then discussed in detail. These include 1st order, 2nd order and higher order linear ODEs and higher order special non-linear ODEs. Laplace transform is discussed in detail before going into series solutions of ODEs. The module finishes with introductions to vector and matrix algebra, in preparation for the students entry into fluid mechanics, transport phenomena and numerical solutions.
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