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

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Unformatted text preview: Your Lecturer Â¡ Dr Victor Tan (VT) Â¡ Office : S14 #02-17 Â¡ Tel No. : 6516-7936 Â¡ Email: [email protected] Â¡ Consultation : Â¢ Office hour: Mon-Fri (9-5) â€“ make appt. Â¢ Email: 24/7 Â¢ IVLE Forum: 24/7 Â¢ Chat room: Before test and exam My Students Â¡ NUS freshmen Â¢ Math/ Applied Math majors Â¢ Non Math majors Â¡ NUS seniors Â¡ SM2 Â¡ 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 Ã¤ 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 Î¼ 5 = 15 7 Î¼ 9 = 63 11 Î¼ 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 Â¡ Introducing Mathematical Proofs Â¢ Read and understand proofs Â¢ Constructing proofs Â¢ Writing proofs Â¡ Introducing fundamental concepts in Math Â¢ Elementary Logic Â¢ Set Theory Â¢ Equivalence Relations Â¢ Functions Â¢ Elementary Number Theory Workload (3-1-0-0-6) Â¡ 3 hours of lecture per week Â¢ 2 lectures per week Â¢ Each lecture is 1.5 hour Â¢ 13 weeks Â¡ 1 hour of tutorial per week Â¢ 1 tutorial per week Â¢ 10 weeks Â¡ 6 hours of preparation/revision per week Â¢ 5 homework assignments Â¢ Read up Â¢ 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 Â Dr Victor Tan(VT Â Office...

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