lecture04(complete)

lecture04(completeï&frac...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
1 MA1100 Lecture 4 Logic Statements Open sentences Disjunction and conjunction Negation Implication Chartrand: section 2.1 – 2.5
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Lecture 4 2 Announcement ± Tutorial begin next week ² Tutorial problems in Intro handouts page 4 ² Attendance will be taken ± Homework set 1 due week 4 ² Homework problems in Intro handouts page 3 (do not mix up tutorial & HW problem sets) ² Homework format (next slide) ± Lecture quiz begin next week ² Finalize your buddy (LQB) today - sign up form ² Collection of clickers (by next Monday) ² Mock-up lecture quiz today
Background image of page 2
Lecture 4 3 Homework format ± Write on any A4 size paper (double sided) ± Can be hand-written (no need typing) ± No need to copy questions, but label the numbering (e.g. 1.12) clearly for each question ± Write your full name , matric number (Library card number for SM2), and tutorial group (e.g. ST03) clearly on the first page of your homework.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Lecture 4 4 From last lecture A = {1, 2, 3, 2} B = {1, 2, 3} Are they the same? redundant A = B 9 |A| = 3 9 U c = « ? «Œ U not the same as «œ U always true not always true
Background image of page 4
Lecture 4 5 Mathematical Language ± Not exactly the same as English ± A dialect of English ± Expressing mathematical ideas precisely ± The grammar is Logic Sentences Statements Open sentences Others
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Lecture 4 6 Mathematical Language Example A. 2 divides a 2 only if 2 divides a. B. If 2 does not divide a, then 2 does not divide a 2 . C. 2 divides a if and only if 2 divides a 2 . D. 2 divides a is a necessary condition for 2 to divide a 2 . E. 2 divides a is a sufficient condition for 2 to divide a 2 . If 2 divides a, then 2 divides a 2 . Which of the following has the same meaning as the above? L Q 1
Background image of page 6
Lecture 4 7 Statements A statement is a sentence that is either true or false ( but not both ). Examples (daily life) 1) MA1100 lectures are on Tuesday and Friday 2) MA1100’s lecturer is a woman 3) MA1100 is an easy module 4) Is MA1100 lecture conducted in LT27? 5) I am lying now A (true) statement A (false) statement Not a statement Not a statement Not a statement L Q 2
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
L Q 3 Lecture 4 8 Statements A statement is a sentence that is either true or false ( but not both ). Examples (Mathematical) 1) 3 + 4 = 8 2) 2x + 5y = 7 3) 2x + 5y = 7 is a linear equation in x and y. 4) There are integers x and y such that 2x + 5y = 7 5) For all integers x and y, 2x + 5y = 7 a (false) statement Not a statement a (true) statement a (false) statement x and y are variables a (true) statement
Background image of page 8
Lecture 4 9 Open sentence (Predicates) An open sentence is a (mathematical) sentence that involves variables . With x = 1, y = 1 : 2x + 5y = 7 becomes 2(1) + 5(1) = 7 which is true.
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/15/2010 for the course MATHS MA1101R taught by Professor Vt during the Spring '10 term at National University of Singapore.

Page1 / 38

lecture04(completeï&frac...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online