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Math1100Syllabus
School: LSU
Course Syllabus Math 1100 (The Nature of Mathematics) Louisiana State UniversityBaton Rouge Instructor: Robert Perlis Lockett Hall 212 Tel: (225) 5781673 Email: perlis@math.lsu.edu Office Hours: Daily 11:30AM12:30PM or by appointment. Welcome to M

L01Inductive_and_Deductive_Reasoning_Aug._24_2010_
School: LSU
MATH 1100 TEACHER: Dr. Perlis How to Ace this Course Attend every class Do HW three times a week Ask questions Getting Started I will lay cards out according to a rule. Try to guess my rule. Possible Rule: Alternate Red and Black Lets try another one: Gue

L04_Subtracting_Sets_90210_
School: LSU
Subtracting sets Lets talk about football tickets. Let S denote the set of all season ticket holders (student and nonstudent), and let T be the set of all LSU students. The set of season ticket holders who are NOT LSU students is written S\T. u ThissetS\

4c30392028436f756e74696e67206f6e2046696e6765727329706c61696e
School: LSU
Counting on Fingers Begin by labeling your fingers as follows. 128 64 32 16 8 4 256 2 512 1 The individual fingers show the powers of 2. Two show the number 3, hold up the fingers labeled 1 and 2 together. Use your fingers to show the numbers 1, 2, 3, 4,

L06_Size_Matters_91808
School: LSU
SizeMatters Atapartywithlotsofpeople standingandlotsofchairs scatteredabout,howcanyou tellwhethertherearemore n Youcouldcountthepeople,countthe chairs,andcomparethenumbers. n n Youcouldcountthepeople,countthe chairs,andcomparethenumbers. Youcouldaskeveryo

4c313620285079746861676f7261734972726174696f6e616c29
School: LSU
Pythagoras Discovery of the Irrational Pythagoras We have learned that between any two rational We numbers there is another rational number. In fact, the halfway point between any two rationals is another rational. As a result, if we put a dot on the num

L02_The_Joy_of_Sets_Aug._26_2010_
School: LSU
The Joy of Sets What traits do men like in women? Or women in men? Or men in men? Here are the results of a study of college students. Traits M liked in W Traits W liked in M [Mw] [Wm] Beauty Cheerfulness Cheerfulness Consideration Congeniality Intelligen

L16_The_Real_Numbers_10142010
School: LSU
Writing Fractions as Decimals Since Pythagoras discovered that 2 is not rational, people began to wonder what these irrational numbers looked like. How can we describe them all? What is their relationship to the rational numbers? By the process of long di

L14_The_Cardinality_of_Q_plain
School: LSU
When I think of Infinity, I think of. something that goes on and on. Acircle(nobeginning,noend.) neverending Lambchop,fromtheShariLewis TVshow.Italwaysendedwith TheSongthatNeverEnds Thisisthesongthatneverends,yesit goesonandonmyfriend.Somepeople startedsi

Math 1100 Chapter 1
School: LSU
Math1100Chapter1 18:15 Mathisconcernedwithpatternswithfindingrulesthat possiblyexplainthesepatterns,andwiththeanalysisofthese rules Formulatingpossiblerulesbasedonafewexamplesiscalled i nductivereasoning. Inductivereasoningbyitselfnevergivesthecorrect

4c303728506f7765725365747329706c61696e
School: LSU
A counting problem How many subsets does a set A have? A set A with 1 element looks like A=cfw_a. Then cfw_a is a subset (it is the biggest subset). And there is the empty subset cfw_ . So a set A with A=1 has 2 subsets. Let A be a set of cardinality 2.

MATH 1100 HOMEWORKS 2736 Fall 2010
School: LSU
HW27 Question1 Howmany"basicsymbols"areusedtowriteanumberinbinarynotation? Chooseoneanswer. a.ten b.five c.Two.The"basicsymbols"are0,1.Theyarecalled"bits"whichisashortenedformof"binary digit". d.Ishowedthisquestiontomydog,andhebitme.Sotheansweris"ouch!"

MATH 1100 HOMEWORK 11 Fall 2010
School: LSU
HOMEWORK 11 Question 1 Big Boss discovers that she can form exactly 15 different committees from her employees. How many employees does she have? a. 2 b. 3 c. 4 d. 5 Correct C Question 2 Six people are at a meeting. How many committees can be formed from

MATH 1100 HOMEWORK 12 Fall 2010
School: LSU
HOMEWORK 12 Question 1 Create a onetoone correspondence between the set N = cfw_1,2,3,4,5,. of all natural numbers to the set S = cfw_2,3,4,5,6,. of all natural numbers that are 2 or larger. a. It can't be done, since S is a proper subset of N, meaning

MATH 1100 HOMEWORK 13 Fall 2010
School: LSU
HOMEWORK 13 Question 1 Exactly 15 committees can be formed from a group of people. How many people are in the group? a. 15 b. 151 = 14 c. 4 d. 3 CorrectC Question 2 Starting from your little finger on your right hand and ending with your little finger o

MATH 1100 HOMEWORK 14 Fall 2010
School: LSU
HOMEWORK 14 Question 1 Gloria Marie has submitted five recipies to her church's cookbook committee. She anxiously awaits the news as to whether the committee will choose none, one, several, or all of her recipes. How many different decisions can the commi

MATH 1100 HOMEWORK 15 Fall 2010
School: LSU
HOMEWORK 15 Question 1 Write the sum 4+8+16+32+64 in binary. a. 1111100_bin b. 10000000_bin c. 124 d. There is a formula for this, but I forgot it. Correct Question 2 You hear Juliet counting out loud: one, two three, four, five, . . In which base is she

MATH 1100 HOMEWORK 16 Fall 2010
School: LSU
HOMEWORK 16 Question 1 Write the sum 16x16 + 13X16 + 12 in hex notation a. 1DC_hex b. 1CD_hex c. 1CD_bin d. 1DC_bin CorrectA Question 2 Write the binary numberr 11110_bin in hex notation. a. 11110_bin = 16 + 8 + 4 + 2 = 16 + 14 = 1E_hex b. Sometimes witc

MATH 1100 HOMEWORK 18 Fall 2010
School: LSU
HOMEWORK 18 Question 1 How many even whole numbers are there from 4 to 1004, counting 4 and 1004? a. 1000. Just subtract 4 from 1004. b. 1001. Just subtract 4 from 1004, then add 1 because that's what we did in class. c. 500. Subtract 4 from 1004 to get 1

MATH 1100 REVIEW For EXAM 2 Fall 2010
School: LSU
REVIEW for EXAM 2 Question 1 How can a set have no elements in it? Choose the BEST response. a. The set of students who fail to attend class, do not do homework, and still earn an A in this course is the empty set. b. Think of my favorite flavors of icec

L18_Cardinality_of_R_and_continuum_hypothesis_plain
School: LSU
Cantors Proof that RsN Cantor gave a wonderfully simple reason why there cannot be a onetoone correspondence between N and R. It goes like this: Suppose someonelets call him Mr. Smith says he has found a onetoone correspondence between N and R. We