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Week","DayText":"Friday","StartTime":"1000","EndTime":"1100","Venue":"S17-0404"}],"IVLE":[{"Announcements":null,"Forums":[],"Workbins":[],"Webcasts":[],"Gradebooks":[],"Polls":[],"Multimedia":[],"LessonPlan":[],"ID":"8a9c6c8a-2a6a-4664-9e24-5c002f1fcac7","CourseLevel":"1","CourseCode":"MA3215","CourseName":"3-DIMENSIONAL DIFFERENTIAL GEOMETRY","CourseDepartment":"","CourseSemester":"Semester 2","CourseAcadYear":"2014/2015","CourseOpenDate":"/Date(1415116800000+0800)/","CourseOpenDate_js":"2014-11-05T00:00:00","CourseCloseDate":"/Date(1429891140000+0800)/","CourseCloseDate_js":"2015-04-24T23:59:00","CourseMC":"4","isActive":"N","Permission":"S","Creator":{"UserID":null,"Name":"Loke Hung Yean","Email":null,"Title":null,"UserGuid":"db25196c-97e2-41fe-bc34-dd41db1295ce","AccountType":null},"hasGradebookItems":true,"hasTimetableItems":true,"hasGroupsItems":false,"hasClassGroupsForSignUp":false,"hasGuestRosterItems":true,"hasClassRosterItems":true,"hasWeblinkItems":false,"hasLecturerItems":false,"hasDescriptionItems":true,"hasReadingItems":true,"hasAnnouncementItems":false,"hasProjectGroupItems":false,"hasProjectGroupsForSignUp":false,"hasConsultationItems":false,"hasConsultationSlotsForSignUp":false,"hasLessonPlanItems":false,"Badge":0,"BadgeAnnouncement":0,"WebLinks":[],"Lecturers":[],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"Students of this module will learn how to apply their knowledge in advanced calculus and linear algebra to the study of the geometry of smooth curves and surfaces in the three dimensional Euclidean space. Major topics: theory of smooth space curves, differentiable structures on a smooth surface, local theory of the geometry of smooth surfaces and some selected results on the global theory of the geometry of smooth surfaces.","Order":1},{"ID":"2e5f053b-8835-4692-be49-41f07234cfff","Title":"Prerequisites","Description":"
\n\t{MA1104 or MA1104S or MA2221 or MA1507 or MA1505 or MA2311} and {MA1101R or MA1311 or MA1506 or MA1508}
\n\n\tThis course does not require too much background and I will review them whenever necessary.
\n\tHowever there are a few important topics which are absolutely indispensable but require too much time.
\n\tI will assume that all students in this course are familiar them. The list of topics are:
\n\t
\n\t1. Open and closed subsets of the 2 and 3 dimensional planes.
\n\t2. Continuous multi-variable functions.
\n\t
\n\t3. Partial differentiations and chain rules.
\n\t4. Orthogonal diagonalization of symmetric matrices.
\n\n\t5. Inner product spaces.
\n","Order":2},{"ID":"3e5f053b-8835-4692-be49-41f07234cfff","Title":"Teaching Modes","Description":"Two lectures and one tutorial per week.\n\tYou could find copy of the lesson plan at
\n\thttp://blog.nus.edu.sg/2015ma3215/lesson-plan/
\n\t
\n","Order":6},{"ID":"8e5f053b-8835-4692-be49-41f07234cfff","Title":"Assessment","Description":"\n\tContinuous Assessment (38%) and Final Examination (62%).
\n\n\tContinuous assessment comprises of one test (25%) and tutorial and solutions participation (8%) and blog participation (5%).
\n\n\tThere will be 8% grade on class and tutorial participation.
\n\n\tStudents are required to present their solutions during tutorials and post their solutions at IVLE to earn the points.
\n\n\t
\n\n\tFor blog participation (5%), this a token of appreciation to students who post comments/answers/questions at the blog.
\n","Order":8},{"ID":"63c755dc-9ccc-43a7-a0f8-b1002f1fca3e","Title":"Preclusions","Description":"FASS students from 2003 cohort onwards who major in Mathematics (for breadth requirement).","Order":9},{"ID":"c26385e0-2eac-41dd-bbbd-b6002f1fcafa","Title":"Workload","Description":"3-1-0-0-6","Order":10}],"ReadingFormatted":[{"ID":"4ff2f911-d865-4160-870a-a66a571fcabf","Title":"Differential Geometry of Curves and Surfaces","Author":"Manfredo P. Do Carmo","Edition":"","PubYear":"1976","ISBN":"0132125897","Publisher":"Prentice Hall","BookType":"Compulsory","AdditionalInfo":"I will be following this text very closely.","CompWebsite":"","Order":1},{"ID":"770be95d-cb9b-43ed-8e9c-afd2571fcace","Title":"Elementary Differential Geometry","Author":"Barrett O'Neil","Edition":"2e","PubYear":"1997","ISBN":"0-12-526745-2","Publisher":"Academic Press","BookType":"References","AdditionalInfo":"","CompWebsite":"","Order":2},{"ID":"81d701e1-9faf-4280-8bdb-a76a581fca47","Title":"Calculus","Author":"James Stewart","Edition":"5e","PubYear":"2003","ISBN":"0-534-39339X","Publisher":"Brooks/Cole Publishing Company","BookType":"Supplementary","AdditionalInfo":"I assume most of the material in Chapters 13 to 17 of this book which is being covered in MA1104.","CompWebsite":"","Order":3},{"ID":"500f7c04-b094-407b-9546-454bff6ff7f4","Title":"Thomas' calculus","Author":"Maurice D. Weir, Joel Hass.","Edition":"12e","PubYear":"2010","ISBN":"9780321643636","Publisher":"Addison-Wesley","BookType":"Compulsory","AdditionalInfo":"","CompWebsite":"","Order":4}],"ReadingUnformatted":[]}],"LecturePeriods":["Tuesday Morning","Friday Morning"],"TutorialPeriods":["Thursday Morning","Friday Morning"]}]}