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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

  1. 6.1 Everyday Geometry and Applications
    1. Everyday Geometry and Applications
    2. Examples
    3. Example 1: Determining the Length of a Line Segment
    4. Example 2: Complementary Angles
    5. Example 3: Supplementary Angles
    6. Example 4: Complementary and Supplementary Angles
    7. Example 5: Converting Decimal Degrees to Degrees, Minutes and Seconds
    8. Example 6: Converting Degrees, Minutes and Seconds to Decimal Degrees
    9. Example 7: Application of Angles
    10. Example 8: Determining Location
    11. Example 9: Using GPS to Determine Location and Distance
    12. Example 10: Calculating Trigonometric Values
    13. Example 11: Using Trigonometric Functions
    14. Example 12: Using Trignometry
  2. 6.2 Circles, Polygons, Perimeter, and Area
    1. Circles, Polygons, Perimeter, and Area
    2. Examples
    3. Example 1: Using Similar Triangles
    4. Example 2: Finding Perimeter
    5. Example 3: Finding Area
    6. Example 4: Solving Problems Involving Area
    7. Example 5: Finding the Area of a Parallelogram
    8. Example 6: Finding the Area of a Triangle
    9. Example 7: Finding the Area of a Trapezoid
    10. Example 8: Area and Circumfrence of Circles
    11. Example 9: Using Area
  3. 6.3 Volume and Surface Area
    1. Volume and Surface Area
    2. Examples
    3. Example 1: Determinig Volume
    4. Example 2: Using Volume to Meet Restrictions
    5. Example 3: Finding the Volume of a Sphere
    6. Example 4: Finding the Volume of a Right Circular Cylinder
    7. Example 5: Finding the Volume of a Right Circular Cone
    8. Example 6: Finding the Volume of a Square Pyramid
    9. Example 7: Finding the Surface Area of a Rectangular Solid
    10. Example 8: Calculating Surface Area
    11. Example 9: Finding the Surface Area of a Right Circular Cylinder
    12. Example 10: Using Volume
    13. Example 11: Using Surface Area
    14. Example 12: Using Volume

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: Indentifying Parts of a Graph
    3. Example 3: Identifying a Walk
    4. Example 4: Indentifying a Path
    5. Example 5: Identifying Connnected 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: Determining if a Matching is Possible
    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