For All Practical Purposes 9th edition

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COMAP, Inc. (Consortium for Mathematics and Its Applications)
Publisher: W. H. Freeman

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  • Chapter 1: Urban Services
    • 1.1: Euler Circuits
    • 1.2: Finding Euler Circuits (11)
    • 1.3: Beyond Euler Circuits
    • 1.4: Urban Graph Traversal Problems (11)
    • 1: Skills Check

  • Chapter 2: Business Efficiency
    • 2.1: Hamiltonian Circuits (7)
    • 2.2: Traveling Salesman Problem
    • 2.3: Helping Traveling Salesmen (4)
    • 2.4: Minimum-Cost Spanning Trees (5)
    • 2.5: Critical-Path Analysis (1)
    • 2: Skills Check (4)

  • Chapter 3: Planning and Scheduling
    • 3.1: Scheduling Tasks
    • 3.2: Critical-Path Schedules (6)
    • 3.3: Independent Tasks (5)
    • 3.4: Bin Packing (7)
    • 3.5: Resolving Conflict via Coloring (5)
    • 3: Skills Check (5)

  • Chapter 4: Linear Programming
    • 4.1: Linear Programming and Mixture Problems: Combining Resources to Maximize Profit (9)
    • 4.2: Finding the Optimal Production Policy
    • 4.3: Why the Corner Point Principle Works
    • 4.4: Linear Programming: Life Is Complicated (11)
    • 4.5: A Transportation Problem: Delivering Perishables
    • 4.6: Improving on the Current Solution
    • 4: Skills Check

  • Chapter 5: Exploring Data: Distributions
    • 5.1: Displaying Distributions: Histograms
    • 5.2: Interpreting Histograms (2)
    • 5.3: Displaying Distributions: Stemplots (1)
    • 5.4: Describing Center: Mean and Median (1)
    • 5.5: Describing Variability: Range and Quartiles
    • 5.6: The Five-Number Summary and Boxplots (5)
    • 5.7: Describing Variability: The Standard Deviation (2)
    • 5.8: Normal Distributions
    • 5.9: The 68-95-99.7 Rule for Normal Distributions (5)
    • 5: Chapter Review (2)
    • 5: Skills Check

  • Chapter 6: Exploring Data: Relationships
    • 6.1: Displaying Relationships: Scatterplot (1)
    • 6.2: Making Predictions: Regression Line (1)
    • 6.3: Correlation (4)
    • 6.4: Least-Squares Regression (3)
    • 6.5: Interpreting Correlation and Regression (4)
    • 6: Chapter Review (1)
    • 6: Skills Check (5)

  • Chapter 7: Data for Decisions
    • 7.1: Sampling (1)
    • 7.2: Bad Sampling Methods (2)
    • 7.3: Simple Random Samples (1)
    • 7.4: Cautions About Sample Surveys
    • 7.5: Experiments (1)
    • 7.6: Experiments versus Observational Studies
    • 7.7: Inference: From Sample to Population (2)
    • 7.8: Confidence Intervals (3)
    • 7: Chapter Review
    • 7: Skills Check (5)

  • Chapter 8: Probability: The Mathematics of Chance
    • 8.1: Probability Models and Rules (3)
    • 8.2: Discrete Probability Models (2)
    • 8.3: Equally Likely Outcomes (1)
    • 8.4: Continuous Probability Models
    • 8.5: The Mean and Standard Deviation of a Probability Model (3)
    • 8.6: The Central Limit Theorem (4)
    • 8: Chapter Review (2)
    • 8: Skills Check (5)

  • Chapter 9: Social Choice: The Impossible Dream
    • 9.1: An Introduction to Social Choice
    • 9.2: Majority Rule and Condorcet's Method (1)
    • 9.3: Other Voting Systems for Three or More Candidates (16)
    • 9.4: Insurmountable Difficulties: Arrow's Impossibility Theorem
    • 9.5: A Better Approach? Approval Voting (1)
    • 9: Skills Check

  • Chapter 10: The Manipulability of Voting Systems
    • 10.1: An Introduction to Manipulability
    • 10.2: Majority Rule and Condorcet's Method (1)
    • 10.3: The Manipulability of Other Voting Systems for Three or More Candidates (2)
    • 10.4: Impossibility (1)
    • 10.5: The Chair's Paradox (1)
    • 10: Skills Check (5)

  • Chapter 11: Weighted Voting Systems
    • 11.1: How Weighted Voting Works (2)
    • 11.2: The Shapley-Shubik Power Index (1)
    • 11.3: The Banzhaf Power Index (5)
    • 11.4: Comparing Voting Systems (6)
    • 11: Skills Check (2)

  • Chapter 12: Electing the President
    • 12.1: Spatial Models for Two-Candidate Elections (2)
    • 12.2: Spatial Models for Multicandidate Elections (3)
    • 12.3: Narrowing the Field (1)
    • 12.4: What Drives Candidates Out? (3)
    • 12.5: Election Reform: Approval Voting (1)
    • 12.6: The Electoral College
    • 12.7: Is There a Better Way to Elect a President?
    • 12: Skills Check (5)

  • Chapter 13: Fair Division
    • 13.1: The Adjusted Winner Procedure (3)
    • 13.2: The Knaster Inheritance Procedure (5)
    • 13.3: Fair Division and Organ Transplant Policies
    • 13.4: Taking Turns (3)
    • 13.5: Divide-and-Choose (1)
    • 13.6: Cake-Division Procedures: Proportionality
    • 13.7: Cake-Division Procedures: The Problem of Envy
    • 13.8: Vickrey Auctions
    • 13: Skills Check (1)

  • Chapter 14: Apportionment
    • 14.1: The Apportionment Problem (2)
    • 14.2: The Hamilton Method (4)
    • 14.3: Divisor Methods (7)
    • 14.4: Which Divisor Method Is Best? (8)
    • 14: Skills Check

  • Chapter 15: Game Theory: The Mathematics of Competition
    • 15.1: Two-Person Total-Conflict Games: Pure Strategies (4)
    • 15.2: Two-Person Total-Conflict Games: Mixed Strategies (9)
    • 15.3: Partial-Conflict Games (3)
    • 15.4: Larger Games (2)
    • 15.5: Using Game Theory
    • 15: Skills Check

  • Chapter 16: Identification Numbers
    • 16.1: Check Digits (13)
    • 16.2: The ZIP Code
    • 16.3: Bar Codes (3)
    • 16.4: Encoding Personal Data (3)
    • 16: Skills Check (5)

  • Chapter 17: Information Science
    • 17.1: Binary Codes (2)
    • 17.2: Encoding with Parity-Check Sums (2)
    • 17.3: Data Compression (5)
    • 17.4: Cryptography (5)
    • 17.5: Web Searches and Mathematical Logic
    • 17: Skills Check (5)

  • Chapter 18: Growth and Form
    • 18.1: Geometric Similarity (3)
    • 18.2: How Much Is That in ...? (3)
    • 18.3: Scaling a Mountain (3)
    • 18.4: Sorry, No King Kongs (7)
    • 18.5: Dimension Tension (4)
    • 18.6: How to Grow
    • 18: Skills Check (5)

  • Chapter 19: Symmetry and Patterns
    • 19.1: Fibonacci Numbers and the Golden Ratio (4)
    • 19.2: Rosette, Strip, and Wallpaper Patterns (3)
    • 19.3: Notation for Patterns (10)
    • 19.4: Symmetry Groups (2)
    • 19.5: Fractal Patterns and Chaos
    • 19: Skills Check (5)

  • Chapter 20: Tilings
    • 20.1: Tilings with Regular Polygons (3)
    • 20.2: Tilings with Irregular Polygons
    • 20.3: Using Only Translations (1)
    • 20.4: Using Translations Plus Half-Turns (1)
    • 20.5: Nonperiodic Tilings (1)
    • 20: Skills Check (5)

  • Chapter 21: Saving Models
    • 21.1: Arithmetic Growth and Simple Interest
    • 21.2: Geometric Growth and Compound Interest (2)
    • 21.3: A Limit to Compounding (2)
    • 21.4: A Model for Saving (5)
    • 21.5: Present Value and Inflation (1)
    • 21: Skills Check (4)

  • Chapter 22: Borrowing Models
    • 22.1: Simple Interest
    • 22.2: Compound Interest
    • 22.3: Conventional Loans (6)
    • 22.4: Annuities (1)
    • 22: Skills Check (4)

  • Chapter 23: The Economics of Resources
    • 23.1: Growth Models for Biological Populations (5)
    • 23.2: How Long Can a Nonrenewable Resource Last? (3)
    • 23.3: Radioactive Decay
    • 23.4: Sustaining Renewable Resources (1)
    • 23.5: The Economics of Harvesting Resources
    • 23.6: Dynamical Systems and Chaos
    • 23: Skills Check (5)


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XP - Extra Problem
SC - Skills Check


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Group Quantity Questions
Chapter 1: Urban Services
1.2 11 008 010 014 019 022 026 028 030 032 036 501.XP
1.4 11 038 040 044 046 050 052 056 058 062 064 501.XP
Chapter 2: Business Efficiency
2.SC 4 009 012 019 021
2.1 7 005 012 016 018 030 036 501.XP
2.3 4 038 046 048 050
2.4 5 054 056 064 066 070
2.5 1 074
Chapter 3: Planning and Scheduling
3.SC 5 001 013 014 025 030
3.2 6 006 014 016 022 028 030
3.3 5 032 036 040 042 048
3.4 7 050 052 054 058 060 066 068
3.5 5 072 074 076 082 089
Chapter 4: Linear Programming
4.1 9 005 008 010 012 013 016 018 026 028
4.4 11 034 036 038 040 042 044 046 048 050 052 058
Chapter 5: Exploring Data: Distributions
5.CR 2 056 058
5.2 2 002 006
5.3 1 010
5.4 1 014
5.6 5 022 023 024 028 030
5.7 2 034 038
5.9 5 046 048 050 052 054
Chapter 6: Exploring Data: Relationships
6.CR 1 050
6.SC 5 001 010 011 016 017
6.1 1 006
6.2 1 016
6.3 4 018 022a 022b 028
6.4 3 030 034 038
6.5 4 040 042 044 046
Chapter 7: Data for Decisions
7.SC 5 001 008 009 023 501.XP
7.1 1 002
7.2 2 004 006
7.3 1 012
7.5 1 028
7.7 2 036 040
7.8 3 042 052 501.XP
Chapter 8: Probability: The Mathematics of Chance
8.CR 2 058 060
8.SC 5 002 010 011 013 019
8.1 3 001 004 010
8.2 2 014 018
8.3 1 022
8.5 3 036 038 042
8.6 4 048 050 052 054
Chapter 9: Social Choice: The Impossible Dream
9.2 1 002
9.3 16 011 014 015 016 017 018 019 020 022 023 024 025 026 030 033 034
9.5 1 041
Chapter 10: The Manipulability of Voting Systems
10.SC 5 001 003 013 021 027
10.2 1 006
10.3 2 012 022
10.4 1 031
10.5 1 033
Chapter 11: Weighted Voting Systems
11.SC 2 003 007
11.1 2 003 501.XP
11.2 1 009
11.3 5 014 015 017 021 501.XP
11.4 6 029 031 033 036 040 501.XP
Chapter 12: Electing the President
12.SC 5 003 011 013 022 024
12.1 2 003 008
12.2 3 018 020 024
12.3 1 026
12.4 3 034 036 038
12.5 1 046
Chapter 13: Fair Division
13.SC 1 020
13.1 3 002 004 009
13.2 5 010 011 012 013 014
13.4 3 019 021 023
13.5 1 026
Chapter 14: Apportionment
14.1 2 001 002
14.2 4 008 010 011 015
14.3 7 017 018 020 029 030 032 033
14.4 8 034 035 038 039 040 042 501.XP 502.XP
Chapter 15: Game Theory: The Mathematics of Competition
15.1 4 001 002 003 004
15.2 9 008 009 010 011 012 013 014 016 501.XP
15.3 3 024 026 028
15.4 2 037 039
Chapter 16: Identification Numbers
16.SC 5 001 014 016 028 030
16.1 13 006 008 018 021 028 030 032 038 046 048 050 052 054
16.3 3 060 062 066
16.4 3 080 082 084
Chapter 17: Information Science
17.SC 5 003 004 008 010 012
17.1 2 002 004
17.2 2 010 014
17.3 5 016 018 020 024 028
17.4 5 030 038 039 048 050
Chapter 18: Growth and Form
18.SC 5 001 005 014 501.XP 502.XP
18.1 3 002 006 501.XP
18.2 3 022 501.XP 502.XP
18.3 3 501.XP 502.XP 503.XP
18.4 7 032 034 036 038 040 042 044
18.5 4 046 048 056 501.XP
Chapter 19: Symmetry and Patterns
19.SC 5 001 004 006 023 025
19.1 4 004 012 018 501.XP
19.2 3 026 028 032
19.3 10 036 038 040 042 044 046 048 050 052 054
19.4 2 058 074
Chapter 20: Tilings
20.SC 5 002 012 014 019 026
20.1 3 002 004 008
20.3 1 016
20.4 1 032
20.5 1 048
Chapter 21: Saving Models
21.SC 4 002 004 015 017
21.2 2 012 019
21.3 2 024 026
21.4 5 034 036 066 068 070
21.5 1 064
Chapter 22: Borrowing Models
22.SC 4 002 010 014 016
22.3 6 021 022 023 024 026 028
22.4 1 047
Chapter 23: The Economics of Resources
23.SC 5 005 008 021 022 024
23.1 5 001 002 004 006 010
23.2 3 012 018 501.XP
23.4 1 044
Total 416