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HAWKESTV

Viewing Life Mathematically

Chapter 1: Critical Thinking and Problem Solving

Chapter 2: Set Theory

Chapter 3: Logic

Chapter 4: Rates, Ratios, Proportions, and Percentages

Chapter 5: The Mathematics of Growth

Chapter 6: Geometry

Chapter 7: Probability

Chapter 8: Statistics

Chapter 9: Personal Finance

Chapter 10: Voting and Apportionment

Chapter 11: The Arts

Chapter 12: Sports

Chapter 13: Graph Theory

  1. 13.1 Introduction to Graph Theory
    1. Example 1: Identifying Parts of a Graph
    2. Example 2: Identifying Parts of a Graph
    3. Example 3: Identifying a Walk
    4. Example 4: Identifying a Path
    5. Example 5: Identifying Connected and Disconnected Graphs
    6. Example 6: Identifying Different Views of the Same Graph
    7. Example 7: Identifying Parts of a Graph
    8. Example 8: Drawing a Graph Given the Edges
    9. Example 9: Drawing a Graph without Edges Predetermined
    10. Example 10: Finding a Minimum Vertex Cover
    11. Example 11: Finding a Vertex Coloring
    12. Example 12: Identifying a Cycle in a Graph
  2. 13.2 Trees
    1. Example 1: Identifying Trees
    2. Example 2: Determining the Number of Edges Needed for a Tree
    3. Example 3: Using Spanning Trees
    4. Example 4: Constructing a Minimum-Weight Spanning Tree
    5. Example 5: Determining the Number of Leaves on a Tree
    6. Example 6: Determining the Number of Leaves on a Tree
  3. 13.3 Matchings
    1. Example 1: Identifying Bipartite Graphs
    2. Example 2: Identifying a Neighborhood
    3. Example 3: Using Spanning Trees
    4. Example 4: Identifying a Regular Bipartite Graph
    5. Example 5: Deciding if a Matching is Possible
    6. Example 6: Finding a Matching
  4. 13.4 Planar Graphs
    1. Example 1: Determining the Number of Faces in a Planar Graph
    2. Example 2: Verifying Euler's Formula for a Graph
    3. Example 3: Applying Euler's Formula
    4. Example 4: Number of Edges in a Planar Graph
    5. Example 5: Establishing that a Graph is Not Planar Using Euler's Corollary
    6. Example 6: Classifying Graphs as Planar or Not
    7. Example 7: Establishing that a Graph is Not Planar Using Subgraphs
    8. Example 8: Classifying Graphs as Planar or Not

Chapter 14: Number Theory