00 introduction colorslides 1in1 nanyang technological university

Welcome to NTU & a new semester!

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Logisticsgo Lectures Anwitaman DATTA & Kiam Tian SEOW Anwitaman DATTA & Kiam Tian SEOW

Elementary number theory Relations

Propositional logic

Predicate logic

Sets & combinatorics

Functions

Graphs

o Tutorials: Start from week two

Sets & combinatoricsLinear recurrence relations

Complex numbers, vectors & matrices

o Tutorials: Start from week twoo Example classes: Start from week three Also known as “labs” in your timetable

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Also known as labs in your timetable Thus, `even week’ groups will have first

example class only in week four.

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Three pronged approach, or is it four? p g pp ,Example class starts on week 3 & 4 for odd and even week groups respectively

Don’t forget

self-study!Tutorials start self study!Tutorials start on week 2

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CE/CZ 1001 Agendago A gentle introduction to some of the

foundational conceptsfoundational concepts Future courses will build on specific topics for

more in-depth studies when neededmore in depth studies when needed Vehicle to develop analytical skills The “language” to communicate preciselyThe language to communicate precisely

o Consequently: Prerequisite for several other courses (officially)Prerequisite for several other courses (officially)

• Unofficially, you will need it for many others!!!

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Learning Objectivesg j

o Achieve a level of mathematicalo Achieve a level of mathematical understanding to show validity of simple logical arguments.g g

o Able to formulate simple valid logical arguments in mathematical terms and gformulate proofs for simple theorems.

o Apply rigor in analyzing and solving pp y g y g gproblems.

o Understand and make geeky jokes ;)

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g y j )

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Assessmento Quiz during tutorial session (week 8) 15 20% 15-20%

o One preparatory test (week 12 or 13, TBD) 30-35%

• Total: 40-50% for continuous assessment

o Final exam 60-50%

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References Self study!

o S S Epp

References Self-study!

o S. S. Epp Discrete Mathematics with Applications

K H Ro K.H. Rosen Discrete Mathematics and its Applications

o S. Lipschutz, M. Lipson Schaum's Outline of Discrete Mathematics

p.s. Lecture notes are to introduce you to the basic concepts, and the material isderived from several sources including some of the textbooks. However thelecture slides DO NOT REPLACE the textbooks. Also, none of the textbooks

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,necessarily cover every topic we cover in the lectures.Read some books (possibly from the library) to clarify details,explanations, try out examples, … !

Discrete maths need NOT be distress maths! However, you will need to work hard!!

An actual answer script! We will see the correct (very simple) solution later in the course!!

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Meeting Me Outside Class

o You are welcome to meet me to clarify

g

o You are welcome to meet me to clarifydoubts or obtain further explanation, …

o But only by prior appointmento But only by prior appointment anwitaman@ntu.edu.sg

Use first the edventure discussion forum!

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Best of luck!

© 2013 A. DattaNTU Singapore