Fall 2009
Final Exam from 2 - 4 pm in our usual classroom.
Review for final
Practice Final
Quiz 13: Version 1
Solutions: Version 1
Review for final
Practice Final
Section 12.5 - expected value and the Monty Hall problem
Section 12.5: 3, 4, 5, 6, 7, 8, 9, 11, 18, 19, 20
Quiz on Wednesday on Sections 12.3 and 12.5
Section 12.3 - conditional probability and independent events
Section 12.3: 1, 2, 5, 7-12, 23-27, 29-32, 33, 34, 45-50, 51, 62
Section 12.3 - conditional probability and independent events
Section 12.3: 1, 2, 5, 7-12, 23-27, 29-32, 33, 34, 45-50, 51, 62
More about experimental vs. theoretical probability and the Law of Large Numbers
Section 12.2 - probability - definition, properties, more examples
Section 12.2: 1, 4, 7, 10-15, 16, 19, 22-25, 26-31, 32, 42
Quiz 12: Version1 Version 2
Solutions: Version 1 Version 2
Section 12.1 - probability - definition, basic examples, properties
Section 12.1: 1 - 5, 7, 8, 9, 10, 12, 13, 39, 45 - 49, 50, 52
Friday's quiz will cover section 12.1
Section 12.1 - probability - definition, basic examples, properties
Section 12.1: 1 - 5, 7, 8, 9, 10, 12, 13, 39, 45 - 49, 50, 52
Friday's quiz will cover section 12.1
Section 11.5 - More counting problems
Exams returned
Quiz 11: Version 1 Version 2
Solutions: Version 1 Version 2
Section 11.5 - More counting problems
Section 11.5: 1 - 12, 15, 17, 19 - 36
Friday's quiz will cover sections 11.4 and 11.5
Section 11.4 - Pascal's triangle for counting problems
Section 11.4: 1 - 16, 21 - 27, 30, 31
Second exam covering Chapter 3 and Sections 11.1, 11.2, and 11.3
Version 1
Version 2
Version 3
Version 4
Review for Exam 2
The second exam will be Friday, November 6th, and will cover Chapter 3 and Sections 11.1, 11.2, and 11.3
Practice Exam
Section 11.3 - Counting problems and the defintion of combination. Definitions about a deck of cards.
Section 11.3: 1 - 8, 16, 17, 18, 19, 25, 26, 27, 30, 33, 34, 36, 38,40, 47, 50, 54
The second exam will be Friday, November 6th, and will cover Chapter 3 and Sections 11.1, 11.2, and 11.3
Practice Exam
Section 11.3 - Counting problems and the defintion of combination. Definitions about a deck of cards.
Section 11.3: 1 - 8, 16, 17, 18, 19, 25, 26, 27, 30, 33, 34, 36, 38,40, 47, 50, 54
Quiz 10: Version 1 Version 2
Solutions: Version 1 Version 2 (typo corrected 11/4, 10:45 am)
Next Friday will be the second exam, covering Chapter 3 and Sections 11.1, 11.2, and 11.3
Practice Exam
Section 11.3 - Counting problems and the defintion of permutation.
Section 11.3: 1 - 8, 16, 17, 18, 19, 25, 26, 27, 30, 33, 34, 36, 38,40, 47, 50, 54
Friday's quiz will cover Sections 11.1 and 11.2
Section 11.2 - Fundamental Counting Principle - multiplying the number of ways for each event in a sequence together gives the number of ways for the sequence to happen. We also discussed more complicated examples (think of MISSISSIPPI, for example).
Section 11.2: 3, 4, 5, 6, 7 - 14, (do the next ones without a calculator to simplify first, then a calculator to get the number) 19, 20, 21, 22, 23, 24, (complete the following) 27, 28,29, 30, 35, 36, 37, 38, 39, 40, 55, 57, 59, 62
Friday's quiz will cover Sections 11.1 and 11.2
Section 11.1 - introduction to counting problems, including tree diagrams.
Section 11.1: 1, 4, 10, 13, 16, 19, 22, 25, 26, 27, 28, 32, 34, 53, 56, 58
Next Friday's quiz will cover Section 11.1 and more.
Quiz 9: Version 1 Version 2
Solutions: Version 1, page 1
Version 1, page 2
Version 2, page 1
Version 2, page 2
Section 3.5 - more about analyzing arguments using Euler Diagrams. Lots of examples.
Section 3.5: 1 - 12, 15 - 24, 25, 27, 29, 30
Friday's quiz will cover Sections 3.6 and 3.5
Section 3.5 - analyzing arguments using Euler Diagrams. Lots of examples.
Section 3.5: 1 - 12, 15 - 24, 25, 27, 29, 30
Quiz 8: Pop quiz
Friday's quiz will cover Sections 3.6 and 3.5
Section 3.6 - analyzing arguments using truth tables. Lots of examples.
Section 3.6: 1 - 2, 13, 15, 17, 19, 21, 23, 27, 29, 31, 33, 34, 35, 36, 51, 52
Next Friday's quiz will cover Sections 3.6 and 3.5
Quiz 7: Version 1 Version 2
Solutions: Version 1 Version 2
Section 3.6 - analyzing arguments using truth tables. Lots of examples.
Section 3.6: 1 - 2, 13, 15, 17, 19, 21, 23, 27, 29, 31, 33, 34, 35, 36, 51, 52
Friday's quiz will cover Sections 3.3 and 3.4
Section 3.4 - More about conditionals - the biconditional, the converse, the inverse, the contrapositive, truth tables
Section 3.4: 1 - 10, 11 - 16, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39, 45 - 48
Friday's quiz will cover Sections 3.3 and 3.4
Section 3.3 - The conditional statement, when it is true, truth tables, its negation
Section 3.3: 1 - 18, 21 - 26, 27, 30, 31, 32, 37, 38, 39, 41 - 52, 55 -66, 69, 70, 71, 74, 75, 77, 79, 81 - 89
Quiz 6: Version 1 Version 2
Solutions: Version 1 Version 2
Section 3.2 - More about Truth Tables
Section 3.2: 1 - 6, 11, 13, 15, 17, 19, 20, 21, 23, 25, 27, 29, 30, 36, 47 - 62, 63, 65, 67, 69, 71, 73 - 76
Friday's quiz will cover Section 3.2
Section 3.2 - Truth Tables
Section 3.2: 1 - 6, 11, 13, 15, 17, 19, 20, 21, 23, 25, 27, 29, 30, 36, 47 - 62, 63, 65, 67, 69, 71, 73 - 76
Friday's quiz will cover Section 3.2
Exams were returned
Quiz 5: Version 1 Version 2
Solutions: Version 1 Version 2
Section 3.1 - We discussed mathematical statements, including "and" and "or" statements and their negations.
Homework for Section 3.1: 1, 4, 5, 6, 7, 10, 11, 23 - 32, 33, 36, 37, 38, 39 - 48, 65 - 74
Friday's quiz will cover Section 3.1
Section 3.1 - We discussed mathematical statements, quantifiers, and negations.
Begin homework for section 3.1, but we will cover "and" and "or" statements on Wednesday.
Homework for Section 3.1: 1, 4, 5, 6, 7, 10, 11, 23 - 32, 33, 36, 37, 38, 39 - 48, 65 - 74
Friday's quiz will cover Section 3.1
Exam 1: Version 1
Version 2
Version 3
Version 4
Review for Exam 1
Exam 1 will be on Friday, 25 September. It will cover chapters 1 and 2. You do not need to bring a scantron, but you do need to bring a photo id.
You can use calculators, but your phone cannot be used as a calculator.
Practice Exam 1
Section 2.5: We discussed more about infinite sets and proved that the cardinality of the real numbers is different than the cardinality of the natural numbers. We also discussed Zeno's paradox.
Section 2.5: 1 - 22, 24, 25 - 30, 37, 38
Exam 1 will be on Friday, 25 September. It will cover chapters 1 and 2. You do not need to bring a scantron, but you do need to bring a photo id.
You can use calculators, but your phone cannot be used as a calculator.
Practice Exam 1
Section 2.4: We discussed more examples of set theory applications and using Venn Diagrams to answer questions and then took the quiz.
Quiz 4: Version 1 Version 2
Solutions: Version 1 Version 2
Section 2.4: We discussed more examples of set theory applications and using Venn Diagrams to answer questions. Problems completed include:
I took a survey about what 40 people like to do in their free time, and found:
8 liked watching TV, playing video games, and using the internet.
5 liked watching TV only.
18 liked watching TV and using the internet.
20 liked playing video games.
22 liked using the internet.
11 liked playing video games and using the internet.
7 liked playing video games only.
How many liked using the internet only?
Out of 200 people surveyed about their sweet tooths, 72 liked chocolate and vanilla ice cream, 31 liked mint chocolate-chip and chocolate only, 12 liked only mint chocolate-chip and 39 people liked only vanilla. 38 liked chocolate, but not vanilla, and 12 people liked all 3. Assuming that everyone likes at least one of these flavors, how many people liked vanilla and mint-chocolate chip only?
According to the cooks at Chi Omega Sorority House, 30 girls like chocolate ice cream, 25 like vanilla, 10 like strawberry, 15 like chocolate and vanilla, 8 like vanilla and strawberry, 5 like all three, and 1 likes chocolate and strawberry only.
1. How many girls like only chocolate?
2. How many girls like vanilla, but not chocolate?
3. How many do not like strawberry?
4. How many girls are in the house? (You may assume that everyone likes at least one of these flavors of ice cream.)
Section 2.4: 1 - 4, 5, 7, 9, 11 -18, 19, 20, 21, 25,28, 30
Friday's quiz will cover sections 2.3 and 2.4.
Section 2.4: We discussed examples of set theory applications and using Venn Diagrams to answer questions. Problems completed include:
One hundred students are surveyed. Fifty say they want a dorm room, 55 want a meal plan at the dorm, and 35 want both. Determine how many students want neither a meal plan nor a dorm room.
The records of 1480 college students show that 1072 took biology, 679 took math, and 271 students who took math did not take biology. How many students took neither math nor biology?
On checking 200 students, it is found that 70 are taking French, 40 are taking German, 75 are taking Spanish, 10 are taking French and German, 30 are taking French and Spanish, 15 are taking German and Spanish, and 70 are taking no language. If it is known that no students are taking all three languages, draw a Venn diagram to determine the answers to the following questions.
1. How many are taking 2 languages?
2. How many are taking Spanish and no other language?
3. How many are taking Spanish and not French?
Section 2.4: 1 - 4, 5, 7, 9, 11 -18, 19, 20, 21, 25,28, 30
Friday's quiz will cover sections 2.3 and 2.4.
Section 2.3: We discussed set differences and Cartesian products and did many examples.
Section 2.3: 1- 30, 43 - 48, 49 - 54, 55 - 60, 61, 62, 65, 67, 71, 73, 79, 80, 81, 82, 83 - 94, 95, 97 - 108, 134
Next Friday's quiz will cover sections 2.3 and 2.4.
Quiz 3: Version 1 Version 2
Solutions: Version 1(Corrected Wed 9/16, noon) Version 2
Section 2.3: We discussed Venn Diagrams, remembered the definition of complement, defined the union and intersection of sets. We discussed deMorgan's laws and demonstrated these on a Venn Diagram.
Section 2.3: 1- 30, 43 - 48, 49 - 54, 55 - 60, 61, 62, 65, 67, 71, 73, 79, 80, 81, 82, 83 - 94, 95, 97 - 108, 134
Friday's quiz will cover information abount countably infinite sets and Section 2.3.
We discussed the idea of countably infinite, including the fact that the natural numbers, the integers, and the rational numbers are all countable. The real numbers are not countable.
Next Friday's quiz will cover this information and Section 2.3.
Quiz 2: Version 1 Version 2
Solutions: Version 1 Version 2
We discussed Section 2.2, including the definitions of universal set, complement, and subset.
Section 2.2: 1 - 42, 43, 45, 47, 49, 51, 61, 65, 66, 69
Friday's quiz will cover Section 1.3, Section 2.1 and Section 2.2.
We discussed Section 2.1, including the definitions of set, element, the empty set, equal sets, and equivalent sets.
Section 2.1: 1-14, 21, 23, 25, 27, 29, 30, 31, 33-40, 41 - 50, 53, 55, 57, 59 - 66, 69 - 80, 83 - 88
Friday's quiz will cover Section 1.3, Section 2.1 and other sections to be named.
We discussed Section 1.3, focusing on reasoning and problem solving examples.
Take home quiz 1: Version 1 Version 2
Solutions: Version 1 Version 2
Section 1.3: 1, 2, 3, 10, 11, 12, 13, 16, 19, 24, 25, 27, 30, 33, 36, 40, 41, 43, 46, 49, 50, 54, 57, 63, 65, 69, 70
Friday's quiz will cover Section 1.3 and other sections to be named.
We discussed Sections 1.1 and 1.2, focusing on inductive reasoning and examples.
Section 1.2: 1 - 8, 10, 11 - 20, 21, 23, 25, 27, 29, 33, 35, 36
Friday's quiz will cover these two sections.
Monday 24 August
Syllabus
