Mathematical Excursions 4th edition

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Problem Solving
  • 1.1: Inductive and Deductive Reasoning
  • 1.2: Problem Solving with Patterns
  • 1.3: Problem-Solving Strategies
  • 1: Review Exercises
  • 1: Test
  • 1.IR1: Add Whole Numbers
  • 1.IR2: Solve Application Problems
  • 1.IR3: Subtract Whole Numbers without Borrowing
  • 1.IR4: Subtract Whole Numbers with Borrowing
  • 1.IR5: Evaluate a Variable Expression
  • 1.IR6: Find the Square Root of a Perfect Square
  • 1.IR7: Read a Circle Graph
  • 1.IR8: Read a Bar Graph
  • 1.IR9: Read a Broken-Line Graph
  • 1.IR10: Write the Terms of a Sequence
  
  
• Chapter 2: Sets
  • 2.1: Basic Properties of Sets
  • 2.2: Complements, Subsets, and Venn Diagrams
  • 2.3: Set Operations
  • 2.4: Applications of Sets
  • 2.5: Infinite Sets
  • 2: Review Exercises
  • 2: Test
  • 2: Responsive Lab: Venn Diagrams
  • 2.IR1: Write and Graph Sets
  • 2.IR2: Find the Union and Intersection of Sets
  
  
• Chapter 3: Logic
  • 3.1: Logic Statements and Quantifiers
  • 3.2: Truth Tables, Equivalent Statements, and Tautologies
  • 3.3: The Conditional and the Biconditional
  • 3.4: The Conditional and Related Statements
  • 3.5: Symbolic Arguments
  • 3.6: Arguments and Euler Diagrams
  • 3: Review Exercises
  • 3: Test
  • 3.IR1: Evaluate Exponential Expressions and Use the Order of Operations Agreement
  • 3.IR2: Use and Identify the Properties of the Real Numbers
  
  
• Chapter 4: Apportionment and Voting
  • 4.1: Introduction to Apportionment
  • 4.2: Introduction to Voting
  • 4.3: Weighted Voting Systems
  • 4: Review Exercises
  • 4: Test
  • 4: Responsive Lab: Arrow's Impossibility Theorem
  • 4.IR1: Multiply a Number by a Single Digit
  • 4.IR2: Divide by a Single Digit with No Remainder in the Quotient
  • 4.IR3: Divide by a Single Digit with a Remainder in the Quotient
  • 4.IR4: Simplify Expressions that Contain Exponents
  • 4.IR5: Use the Order of Operations Agreement to Simplify Expressions
  • 4.IR6: Round a Decimal to a Given Place Value
  • 4.IR7: Convert Fractions to Decimals
  • 4.IR8: Write a Decimal or a Fraction as a Percent
  • 4.IR9: Write a Set Using the Roster Method
  • 4.IR10: Solve an Inequality Using the Addition Property of Inequalities
  • 4.IR11: Evaluate Expressions that Contain the Absolute Value Symbol
  • 4.IR12: Evaluate Variable Expressions
  
  
• Chapter 5: The Mathematics of Graphs
  • 5.1: Graphs and Euler Circuits
  • 5.2: Weighted Graphs
  • 5.3: Planarity and Euler's Formula
  • 5.4: Graph Coloring
  • 5: Review Exercises
  • 5: Test
  • 5: Responsive Lab: Complete Graph Algorithms
  • 5.IR1: Identify the Order Relation between Two Numbers
  • 5.IR2: Evaluate Variable Expressions
  • 5.IR3: Solve an Equation of the Form x + a = b
  
  
• Chapter 6: Numeration Systems and Number Theory
  • 6.1: Early Numeration Systems
  • 6.2: Place-Value Systems
  • 6.3: Different Base Systems
  • 6.4: Arithmetic in Different Bases
  • 6.5: Prime Numbers
  • 6.6: Topics from Number Theory
  • 6: Review Exercises
  • 6: Test
  • 6.IR1: Identify the Order Relation between Two Numbers
  • 6.IR2: Write Whole Numbers in Words and in Standard Form
  • 6.IR3: Divide by a Single Digit with No Remainder in the Quotient
  
  
• Chapter 7: Measurement and Geometry
  • 7.1: Measurement
  • 7.2: Basic Concepts of Euclidean Geometry
  • 7.3: Perimeter and Area of Plane Figures
  • 7.4: Properties of Triangles
  • 7.5: Volume and Surface Area
  • 7.6: Right Triangle Trigonometry
  • 7.7: Non-Euclidean Geometry
  • 7.8: Fractals
  • 7: Review Exercises
  • 7: Test
  • 7: Responsive Lab: Regular Polygons
  • 7.IR1: Find the Length and Midpoint of a Line Segment
  • 7.IR2: Solve Problems Involving Angles Formed by Intersecting Lines
  • 7.IR3: Find the Perimeter of Plane Geometric Figures
  • 7.IR4: Find the Area of Geometric Figures
  • 7.IR5: Find the Volume of Geometric Solids
  • 7.IR6: Solve Similar and Congruent Triangles
  
  
• Chapter 8: Mathematical Systems
  • 8.1: Modular Arithmetic
  • 8.2: Applications of Modular Arithmetic
  • 8.3: Introduction to Group Theory
  • 8: Review Exercises
  • 8: Test
  • 8.IR1: Divide by a Single Digit with No Remainder in the Quotient
  • 8.IR2: Divide by a Single Digit with a Remainder in the Quotient
  • 8.IR3: Divide by Larger Whole Numbers
  • 8.IR4: Simplify a Variable Expression Using the Properties of Addition
  • 8.IR5: Determine Whether a Given Number is a Solution of an Equation
  • 8.IR6: Evaluate Variable Expressions
  
  
• Chapter 9: Applications of Equations
  • 9.1: First-Degree Equations and Formulas
  • 9.2: Rate, Ratio, and Proportion
  • 9.3: Percent
  • 9.4: Second-Degree Equations
  • 9: Review Exercises
  • 9: Test
  • 9: Responsive Lab: Scaling a Recipe
  • 9.IR1: Use and Identify the Properties of the Real Numbers
  • 9.IR2: Evaluate a Variable Expression
  • 9.IR3: Simplify a Variable Expression
  • 9.IR4: Solve an Equation Using the Addition or Multiplication Property of Equations
  • 9.IR5: Write Ratios and Rates
  • 9.IR6: Use Units of Measurement in the U.S. Customary System
  • 9.IR7: Write as a Fraction and as a Decimal
  • 9.IR8: Write Fractions and Decimals as Percents
  
  
• Chapter 10: Applications of Functions
  • 10.1: Rectangular Coordinates and Functions
  • 10.2: Properties of Linear Functions
  • 10.3: Finding Linear Models
  • 10.4: Quadratic Functions
  • 10.5: Exponential Functions
  • 10.6: Logarithmic Functions
  • 10: Review Exercises
  • 10: Test
  • 10: Responsive Lab: Population Growth
  • 10.IR1: Find the Length and Midpoint of a Line Segment
  • 10.IR2: Graph a Linear Function
  • 10.IR3: Find the Slope of a Line Given Two Points
  • 10.IR4: Evaluate Polynomial Functions
  • 10.IR5: Find the x-Intercepts of a Parabola
  • 10.IR6: Find the Minimum or Maximum of a Quadratic Function
  • 10.IR7: Evaluate an Exponential Function
  • 10.IR8: Graph an Exponential Function
  • 10.IR9: Find the Logarithm of a Number
  • 10.IR10: Use the Properties of Logarithms to Simplify Expressions Containing Logarithms
  • 10.IR11: Use the Change-of-Base Formula
  • 10.IR12: Graph a Logarithmic Function
  • 10.IR13: Solve an Exponential Equation
  • 10.IR14: Solve a Logarithmic Equation
  
  
• Chapter 11: The Mathematics of Finance
  • 11.1: Simple Interest
  • 11.2: Compound Interest
  • 11.3: Credit Cards and Consumer Loans
  • 11.4: Stocks, Bonds, and Mutual Funds
  • 11.5: Home Ownership
  • 11: Review Exercises
  • 11: Test
  • 11: Responsive Lab: Credit Cards
  • 11.IR1: Solve Investment Problems
  • 11.IR2: Solve Application Problems
  
  
• Chapter 12: Combinatorics and Probability
  • 12.1: The Counting Principle
  • 12.2: Permutations and Combinations
  • 12.3: Probability and Odds
  • 12.4: Addition and Complement Rules
  • 12.5: Conditional Probability
  • 12.6: Expectation
  • 12: Review Exercises
  • 12: Test
  • 12: Responsive Lab: License Plates
  • 12.IR1: Write a Fraction in Simplest Form
  • 12.IR2: Add Fractions with the Same Denominator
  • 12.IR3: Add Fractions with Different Denominators
  • 12.IR4: Add Whole Numbers, Mixed Numbers, and Fractions
  • 12.IR5: Divide Fractions
  • 12.IR6: Determine the Probability of Simple Events
  • 12.IR7: Determine the Odds of an Event
  • 12.IR8: Evaluate Variable Expressions
  • 12.IR9: Expand (a + b)ⁿ
  
  
• Chapter 13: Statistics
  • 13.1: Measures of Central Tendency
  • 13.2: Measures of Dispersion
  • 13.3: Measures of Relative Position
  • 13.4: Normal Distribution
  • 13.5: Linear Regression and Correlation
  • 13: Review Exercises
  • 13: Test
  • 13: Responsive Lab: Approximately Normal Distributions
  • 13.IR1: Determine Solutions of Linear Equations in Two Variables
  • 13.IR2: Graph Equations of the Form y = mx + b
  • 13.IR3: Determine the Mean, Median, and Mode of a Distribution
  • 13.IR4: Draw a Box-and-Whiskers Plot
  • 13.IR5: Calculate the Standard Deviation of a Distribution