Mathematics: A Practical Odyssey 8th edition

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• Chapter 1: Logic
  • 1.1: Deductive versus Inductive Reasoning
  • 1.2: Symbolic Logic
  • 1.3: Truth Tables
  • 1.4: More on Conditionals
  • 1.5: Analyzing Arguments
  • 1.6: Deductive Proof of Validity
  • 1: Review Exercises
  
  
• Chapter 2: Sets and Counting
  • 2.1: Sets and Set Operations
  • 2.2: Applications of Venn Diagrams
  • 2.3: Introduction to Combinatorics
  • 2.4: Permutations and Combinations
  • 2.5: Infinite Sets
  • 2: Review Exercises
  • 2: Responsive Labs: Venn Diagrams and License Plates
  
  
• Chapter 3: Probability
  • 3.1: History of Probability
  • 3.2: Basic Terms of Probability
  • 3.3: Basic Rules of Probability
  • 3.4: Combinatorics and Probability
  • 3.5: Expected Value
  • 3.6: Conditional Probability
  • 3.7: Independence, Medical Tests, and Genetics
  • 3: Review Exercises
  
  
• Chapter 4: Statistics
  • 4.1: Population, Sample, and Data
  • 4.2: Measures of Central Tendency
  • 4.3: Measures of Dispersion
  • 4.4: The Normal Distribution
  • 4.5: Polls and Margin of Error
  • 4.6: Linear Regression
  • 4: Review Exercises
  • 4: Responsive Lab: Approximately Normal Distributions
  
  
• Chapter 5: Finance
  • 5.1: Simple Interest
  • 5.2: Compound Interest
  • 5.3: Annuities
  • 5.4: Amortized Loans
  • 5.5: Annual Percentage Rate with a TI's TVM Application
  • 5.6: Payout Annuities
  • 5: Review Exercises
  • 5: Responsive Lab: Credit Cards
  
  
• Chapter 6: Voting and Apportionment
  • 6.1: Voting Systems
  • 6.2: Methods of Apportionment
  • 6.3: Flaws of Apportionment
  • 6: Review Exercises
  • 6: Responsive Lab: Arrow's Impossibility Theorem
  
  
• Chapter 7: Number Systems and Number Theory
  • 7.1: Place Systems
  • 7.2: Addition and Subtraction in Different Bases
  • 7.3: Multiplication and Division in Different Bases
  • 7.4: Prime Numbers and Perfect Numbers
  • 7.5: Fibonacci Numbers and the Golden Ratio
  • 7: Review Exercises
  
  
• Chapter 8: Geometry
  • 8.1: Perimeter and Area
  • 8.2: Volume and Surface Area
  • 8.3: Egyptian Geometry
  • 8.4: The Greeks
  • 8.5: Right Triangle Trigonometry
  • 8.6: Linear Perspective
  • 8.7: Conic Sections and Analytic Geometry
  • 8.8: Non-Euclidean Geometry
  • 8.9: Fractal Geometry
  • 8.10: The Perimeter and Area of a Fractal
  • 8: Review Exercises
  • 8: Responsive Lab: Regular Polygons
  
  
• Chapter 9: Graph Theory
  • 9.1: A Walk through Königsberg
  • 9.2: Graphs and Euler Trails
  • 9.3: Hamilton Circuits
  • 9.4: Networks
  • 9.5: Scheduling
  • 9: Review Exercises
  • 9: Responsive Lab: Complete Graph Algorithms
  
  
• Chapter 10: Exponential and Logarithmic Functions
  • 10.0A: Review of Exponents and Logarithms
  • 10.0B: Review of Properties of Logarithms
  • 10.1: Exponential Growth
  • 10.2: Exponential Decay
  • 10.3: Logarithmic Scales
  • 10: Review Exercises
  • 10: Responsive Lab: Population Growth
  
  
• Chapter 11: Markov Chains
  • 11.0A: Review of Matrices
  • 11.0B: Review of Systems of Linear Equations
  • 11.1: Markov Chains and Tree Diagrams
  • 11.2: Markov Chains and Matrices
  • 11.3: Long-Range Predictions with Markov Chains
  • 11.4: Solving Larger Systems of Equations
  • 11.5: More on Markov Chains
  • 11: Review Exercises
  
  
• Chapter 12: Linear Programming
  • 12.0: Review of Linear Inequalities
  • 12.1: The Geometry of Linear Programming
  • 12.2: Introduction to the Simplex Method
  • 12.3: The Simplex Method: Complete Problems
  • 12: Review Exercises
  
  
• Chapter 13: The Concepts and History of Calculus
  • 13.0: Review of Ratios, Parabolas, and Functions
  • 13.1: The Antecedents of Calculus
  • 13.2: Four Problems
  • 13.3: Newton and Tangent Lines
  • 13.4: Newton on Falling Objects and the Derivative
  • 13.5: The Trajectory of a Cannonball
  • 13.6: Newton and Areas
  • 13.7: Conclusion
  • 13: Review Exercises