Lecture_1 - Your Lecturer Dr Victor Tan(VT Office...

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Unformatted text preview: Your Lecturer ¡ Dr Victor Tan (VT) ¡ Office : S14 #02-17 ¡ Tel No. : 6516-7936 ¡ Email: [email protected] ¡ Consultation : ¢ Office hour: Mon-Fri (9-5) – make appt. ¢ Email: 24/7 ¢ IVLE Forum: 24/7 ¢ Chat room: Before test and exam My Students ¡ NUS freshmen ¢ Math/ Applied Math majors ¢ Non Math majors ¡ NUS seniors ¡ SM2 ¡ Non-NUS students (exchange students, NUS high school) A s s u m e y o u a r e f r e s h m e n 1. Suppose m and n are both odd numbers. Then m ä n is an odd number. 2. Suppose m is an even number greater than 2. Then m is a sum of two prime numbers. True or False Why is it true? There is a PROOF ! Quiz 3 μ 5 = 15 7 μ 9 = 63 11 μ 13 = 143 etc 4 = 2 + 2 6 = 3 + 3 8 = 3 + 5 12 = 5 + 7 etc Can we say it is true? No one has found a PROOF ! About this Module ¡ Introducing Mathematical Proofs ¢ Read and understand proofs ¢ Constructing proofs ¢ Writing proofs ¡ Introducing fundamental concepts in Math ¢ Elementary Logic ¢ Set Theory ¢ Equivalence Relations ¢ Functions ¢ Elementary Number Theory Workload (3-1-0-0-6) ¡ 3 hours of lecture per week ¢ 2 lectures per week ¢ Each lecture is 1.5 hour ¢ 13 weeks ¡ 1 hour of tutorial per week ¢ 1 tutorial per week ¢ 10 weeks ¡ 6 hours of preparation/revision per week ¢ 5 homework assignments ¢ Read up ¢ Self-practice Lesson Plan Week Lecture Topics Tutorial Homework 1 Introduction / Logical Reasoning 2 Logical Reasoning 3 Mathematical proofs Tut 1 (logic, proof) 4 Set Theory Tut 2 (logic, proof) HW1 due 5 Set Theory / Equivalence Relations Tut 3 (proof, set) 6 Equivalence Relations Tut 4 (set, relations) HW2 due 7 Test No tutorial 8 Mathematical Induction Tut 5 (relation) HW3 due 9 Functions Tut 6 (Math. Ind.) 10 Functions Tut 7 (function) HW4 due 11 Elementary Number Theory Tut 8...
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Lecture_1 - Your Lecturer Dr Victor Tan(VT Office...

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