Math 70 Homework Goldston
Below are (pretty much) the MyMathLab HW problems
Barnett: Finite Mathematics, 11e (2008)
CHAPTER 7. Logic, Sets, and Counting
HW 7.1. Logic
1. Propositions and Connectives
Exercise: 3, 11, 15, 21, 25
2. Truth Tables
Exercise: 27, 29, 33, 37, 39, 43
3. Logical Implications and Equivalences
Exercise: 47, 51, 53
HW 7.2. Sets
1. Set Properties and Set Notation
Exercise: 7, 9, 23, 25
2. Set Operations
Exercise: 13, 15, 17, 27, 31, 33, 36, 37, 40, 41, 43, 45, 47, 57, 61, 85
3. Applications
Exercise: 75, 79, 83, 89
HW 7.3. Basic Counting Principles
1. Addition Property
Exercise: 5, 45, 57, 66
2. Venn Diagrams
Exercise: 10, 23, 25, 29, 59
3. Multiplication Property
Exercise: 14, 18, 20, 37, 39, 50, 54
HW 7.4. Permutations and Combinations
1. Factorials
Exercise: 1, 5, 22
2. Permutations
Exercise: 11, 31, 47
3. Combinations
Exercise: 13, 17, 27, 59
4. Applications
Exercise: 33, 39, 41, 54, 56, 62, 66
CHAPTER 8. Probability
HW 8.1. Sample Spaces, Events, and Probability
1. Sample Spaces and Events
2. Probability of an Event
3. Equally Likely Assumption
Exercise: 3, 9, 11, 15, 17, 22, 23, 28, 29, 32, 37, 38, 39, 41, 43, 44, 47, 56,
67, 69, 79, 81, 91, 95
HW 8.2. Union, Intersection, and Complement of Events; Odds
1. Union and Intersection
Exercise: 2, 11, 13, 21, 28, 59
2. Complement of an Event
Exercise: 6, 25
3. Odds
Exercise: 19, 34, 42, 43, 45, 49, 51, 54
4. Applications to Empirical Probability
Exercise: 65, 73, 75, 77, 79
HW 8.3. Conditional Probability, Intersection, and Independence
1. Conditional Probability
Exercise: 3, 9, 21
2. Intersection of Events: Product Rule
Exercise: 60
3. Probability Trees
Exercise: 25, 38, 49, 51, 64
4. Independent Events Exercise: 13, 23, 29, 31, 33, 36, 39, 54
HW 8.4. Bayes' Formula
1. Bayes' Formula
Exercise: 1, 3, 5, 7, 16, 19, 26, 29, 31, 38, 39, 41, 49, 50, 51, 55, 56
HW 8.5. Random Variable, Probability Distribution, and Expected Value
1. Random Variable and Probability Distribution
2. Expected Value of a Random Variable
Exercise: 1, 3, 6, 12, 17, 25, 26, 27, 29, 37, 39
CHAPTER 3. Mathematics of Finance
HW 3.1. Simple Interest
1. The Simple Interest Formula
Exercise: 7, 9, 11
2. Simple Interest and Investments
Exercise: 17, 19, 21, 23, 35, 37, 41, 43, 47, 51, 53, 55
HW 3.2. Compound and Continuous Compound Interest
1. Compound Interest
Exercise: 3, 7, 17, 23, 27, 31, 33, 61, 77, 93
2. Continuous Compound Interest
Exercise: 9, 11, 13, 15, 73
3. Growth and Time
Exercise: 43, 45, 51, 57, 65, 79
4. Annual Percentage Yield
Exercise: 49, 69, 87, 89
HW 3.3. Future Value of an Annuity; Sinking Funds
1. Future Value of an Annuity
Exercise: 5, 7, 11, 15
2. Sinking Funds
Exercise: 21, 23, 25, 27, 33, 39
3. Approximating Interest Rates
Exercise: 41, 45
HW 3.4. Present Value of an Annuity; Amortization
1. Present Value of an Annuity
Exercise: 1, 5, 11, 15, 17, 19
2. Amortization
Exercise: 23, 25, 29, 31, 37, 49, 51
3. Amortization Schedules
Exercise: 41, 43
CHAPTER 4. Systems of Linear Equations; Matrices
HW 4.1. Review: Systems of Linear Equations in Two Variables
1. Graphing
Exercise: 5, 7, 35, 39
2. Substitution
Exercise: 9, 11
3. Elimination by Addition
Exercise: 13, 15, 17, 19, 21, 23, 27, 29
4. Applications
Exercise: 53, 55, 61
HW 4.2. Systems of Linear Equations and Augmented Matrices
1. Matrices
Exercise: 1, 7, 9, 11, 15, 21, 25, 27
2. Solving Linear Systems Using Augmented Matrices
Exercise: 35, 41, 45, 47, 49, 53, 59, 61, 63, 67
HW 4.3. Gauss-Jordan Elimination
1. Solving Systems by Gauss-Jordan Elimination
Exercise: 3, 9, 11, 13, 17, 23, 25, 27, 31, 33, 37, 39, 41, 43, 47, 49, 57, 59
2. Applications
Exercise: 63, 67, 77, 81, 87
HW 4.4. Matrices: Basic Operations
1. Addition and Subtraction
Exercise: 1, 5, 51, 53
2. Product of a Number k and a Matrix M
Exercise: 7, 61
3. Matrix Product
Exercise: 11, 13, 19, 23, 27, 31, 33, 37, 41, 55, 57, 65, 71
HW 4.5. Inverse of a Square Matrix
1. Identity Matrix for Multiplication
Exercise: 3, 5, 7
2. Inverse of a Square Matrix
Exercise: 11, 13, 17, 27, 29, 33, 37, 41, 43, 47, 49, 53
3. Application: Cryptography
Exercise: 65, 67
HW 4.6. Matrix Equations and Systems of Linear Equations
1. Matrix Equations and Systems of Linear Equations
Exercise: 3, 7, 9, 13, 19, 25, 29, 33, 35, 41, 46
2. Applications
Exercise: 49, 51, 53
CHAPTER 5. Linear Inequalities and Linear Programming
HW 5.1. Inequalities in Two Variables
1. Graphing Linear Inequalities in Two Variables
Exercise: 1, 5, 7, 9, 15, 17, 31, 35
2. Applications
Exercise: 27, 39, 43, 47
HW 5.2. Systems of Linear Inequalities in Two Variables
1. Solving Systems of Linear Inequalities
Exercise: 1, 5, 13, 17, 19, 25, 29, 31
2. Applications
Exercise: 39, 43, 45
HW 5.3. Linear Programming in Two Dimensions: Geometric Approach
1. Understanding the Objective Function
Exercise: 1, 4, 5, 7
2. Geometric Solution when Existence of Optimal Solutions is Unknown
Exercise: 27, 29
3. Geometric Solution when Existence of Optimal Solutions is Known
Exercise: 9, 15, 21
4. Applications
Exercise: 31, 35, 41
CHAPTER 6. Linear Programming: The Simplex Method
HW 6.1. A Geometric Introduction to the Simplex Method
1. Standard Maximization Problems in Standard Form
2. Slack Variables
3. Basic Solutions and Basic Feasible Solutions; The Simplex Method
Exercise: 1, 3, 5, 7
HW 6.2. Simplex Method: Maximization with Constraints of Form <=
1. Initial System
2. Simplex Tableau
Exercise: 9
3. Pivot Operation
Exercise: 1, 3, 5, 7
4. Application
Exercise: 13, 15, 19, 21, 29, 39, 41, 45
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Here are the hw problems I used to assign in previous semesters
"My mind rebels at stagnation. Give me problems, give me work, give me the most abstruse cryptogram, or the most intricate analysis, and I am in my own proper atmosphere." - Sherlock Holmes