{"ModuleCode":"GEK1517","ModuleTitle":"Mathematical Thinking","Department":"Mathematics","ModuleDescription":"The objectives of this course are to introduce basic notions in mathematics and to develop thinking skills in terms of ideas and criticism. Illustrated by simple examples and with wonderful developments, the course is especially designed to inspire students to apply imagination and creativity in understanding mathematics. Major topics to be covered: How do we think of Mathematics? Basic models of mathematics: Definition, Theorem, Proof, Speculation, Idea-criticism (each with elementary examples). Major Facilities for Mathematical Thinking: Human Language; Vision, Spatial Sense and Motion Sense; Logic and Deduction; Intuition, Association and Metaphor; Stimulus Response; Process and Time. Critical Reasoning ? Conjectures and Refutations. Post Critical Facets: Fact? Knowledge- Personal Use of Imagination; Connoisseurship, Conviviality, Serendipity. Selected topics on Mathematics in Information Technology and Life Sciences. Target: Students with 'O' Level Mathematics.","ModuleCredit":"4","Workload":"3-1-0-2-4","ExamDuration":"P2H","ExamVenue":"S16-04-30/41","Types":["GEM"],"CorsBiddingStats":[{"AcadYear":"2014/2015","Semester":"1","Round":"1C","Group":"Lecture Sl1","Quota":"200","Bidders":"0","LowestBid":"0","LowestSuccessfulBid":"0","HighestBid":"0","Faculty":"Science","StudentAcctType":"Reserved for [G] in later round"},{"AcadYear":"2014/2015","Semester":"1","Round":"2A","Group":"Lecture Sl1","Quota":"200","Bidders":"42","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"1001","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2014/2015","Semester":"1","Round":"2B","Group":"Lecture Sl1","Quota":"158","Bidders":"10","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"350","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2014/2015","Semester":"1","Round":"3A","Group":"Lecture Sl1","Quota":"148","Bidders":"23","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"805","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2014/2015","Semester":"1","Round":"3B","Group":"Lecture Sl1","Quota":"127","Bidders":"1","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"1","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2013/2014","Semester":"1","Round":"1C","Group":"Lecture Sl1","Quota":"200","Bidders":"0","LowestBid":"0","LowestSuccessfulBid":"0","HighestBid":"0","Faculty":"Science","StudentAcctType":"Reserved for [G] in later round"},{"AcadYear":"2013/2014","Semester":"1","Round":"2A","Group":"Lecture Sl1","Quota":"200","Bidders":"42","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"999","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2013/2014","Semester":"1","Round":"2B","Group":"Lecture Sl1","Quota":"158","Bidders":"18","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"501","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2013/2014","Semester":"1","Round":"3A","Group":"Lecture Sl1","Quota":"140","Bidders":"22","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"1955","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2013/2014","Semester":"1","Round":"3B","Group":"Lecture Sl1","Quota":"120","Bidders":"3","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"400","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2012/2013","Semester":"1","Round":"1C","Group":"Lecture Sl1","Quota":"200","Bidders":"0","LowestBid":"0","LowestSuccessfulBid":"0","HighestBid":"0","Faculty":"Science","StudentAcctType":"Reserved for [G] in later round"},{"AcadYear":"2012/2013","Semester":"1","Round":"2A","Group":"Lecture Sl1","Quota":"200","Bidders":"65","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"1934","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2012/2013","Semester":"1","Round":"2B","Group":"Lecture Sl1","Quota":"135","Bidders":"44","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"1314","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2012/2013","Semester":"1","Round":"3A","Group":"Lecture Sl1","Quota":"94","Bidders":"18","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"500","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2012/2013","Semester":"1","Round":"3B","Group":"Lecture Sl1","Quota":"82","Bidders":"19","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"250","Faculty":"Science","StudentAcctType":"NUS Students [G]"},{"AcadYear":"2011/2012","Semester":"1","Round":"1C","Group":"Lecture 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\r\n\tSee the updated Course Description: http://www.math.nus.edu.sg/~matlmc/12_Course_Description.pdf
\r\n\t
\r\n\t
\r\n\t
\r\n\t
\r\n\t
\r\n\t
\r\n\t
\r\n\t
\r\n\t2013 Test Partial Answers
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/2013-Test.pdf (please copy the link and open it in a new window.)
\r\n\t
\r\n\t2012 Test and suggested solution to Q.1
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/2012-Test.pdf (please copy the link and open it in a new window.)
\r\n\t
\r\n\tSuggested solutoins to the 2011 test:
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/2011TestSolns.pdf
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\r\n\t
\r\n\t
\r\n\tLast year's lecture notes and tutorials. To be updated.
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\r\n\thttp://www.math.nus.edu.sg/~matlmc/1-1.pdf (Updated!)
\r\n\t
\r\n\t http://www.math.nus.edu.sg/~matlmc/2-1.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/2-1-B.pdf (Updated!)
\r\n\t
\r\n\t http://www.math.nus.edu.sg/~matlmc/2_2.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/3_1.pdf (Updated!)
\r\n\thttp://www.math.nus.edu.sg/~matlmc/3_2.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/4_1.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/4_2.pdf (Not covered in this semester)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/5_1.pdf (Updated!)
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\r\n\thttp://www.math.nus.edu.sg/~matlmc/5_2.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/6_1.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/6_2.pdf (not covered!)
\r\n\t
\r\n\t
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/7_2.pdf (Updated!)
\r\n\thttp://www.math.nus.edu.sg/~matlmc/8_1&8_2.pdf (Updated and shortened)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/9_1.pdf (not covered!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/9_2.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/10_1.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/10_2.pdf (Updated!)
\r\n\t
\r\n\tTutorials:
\r\n\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-1.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-2.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-3.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-4.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-5.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-6.pdf (Updated!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T-7.pdf (Updated!)
\r\n\r\n\thttp://www.math.nus.edu.sg/~matlmc/T_8.pdf (not covered!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T_9.pdf (not covered!)
\r\n\t
\r\n\thttp://www.math.nus.edu.sg/~matlmc/T_10.pdf (not covered!)
\r\n\t
\r\n\t
\r\nAn interactive proof of the Pythagoras's Theorem:
\r\nhttp://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.html
","Order":3},{"ID":"8e5f053b-8835-4692-be49-41f07234cfff","Title":"Assessment","Description":"One Test (about 40 min; 20%). Date to be announced at least two weeks in advance.
\r\n\r\n
Final Exam (80%): can bring in one (1) hand-written (on both sides) A-4 size help sheet.
","Order":8}],"ReadingFormatted":[],"ReadingUnformatted":[]}],"Lecturers":["Leung Man Chun"],"LecturePeriods":["Monday Afternoon","Thursday Afternoon"],"TutorialPeriods":["Tuesday Afternoon","Friday Morning"]}]}