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Topics in Contemporary Mathematics, Eighth Edition & Expanded Eighth Edition
Ignacio Bello, Hillsborough Community College
Jack R. Britton, University of South Florida
ACE practice Tests

Chapter 1: Problem Solving
Section 1.1: Inductive Reasoning
Section 1.2: Estimation: A Problem Solving Tool

Chapter 2: Sets
Section 2.1: Sets: A Problem-Solving Tool
Section 2.2: Set Operations
Section 2.3: Venn Diagrams
Section 2.4: The Number of Elements in a Set: A Problem-Solving Tool
Section 2.5: Infinite Sets

Chapter 3: Logic
Section 3.1: Statements
Section 3.2: Truth Tables: A Problem-Solving Tool
Section 3.3: The Conditional and the Biconditional
Section 3.4: Variations of the Conditional and Implications
Section 3.5: Euler Diagrams: A Problem-Solving Tool
Section 3.6: Truth Tables and Validity of Arguments
Section 3.7: Switching Networks: A Problem-Solving Tool

Chapter 4: Numeration Systems
Section 4.1: Egyptian, Babylonian, and Roman Numeration Systems
Section 4.2: The Hindu-Arabic (Decimal) System
Section 4.3: Number Systems with Bases Other Than 10
Section 4.4: Binary Arithmetic

Chapter 5: Number Theory and the Real Numbers
Section 5.1: Number Theory: Primes and Composites
Section 5.2: Whole Numbers, Integers, and Order of Operations
Section 5.3: The Rational Numbers
Section 5.4: Decimals, Scientific Notation, Significant Digits
Section 5.5: Rationals as Decimals: Percents
Section 5.6: Real Numbers, Square Roots and Decimal Representation
Section 5.7: Radicals
Section 5.8: Number Sequences

Chapter 6: Equations, Inequalities, and Problem Solving
Section 6.1: Solutions of First-Degree Sentences
Section 6.2: Graphs of Algebraic Sentences
Section 6.3: Sentences Involving Absolute Values
Section 6.4: Quadratic Equations
Section 6.5: Modeling and Problem Solving
Section 6.6: Ratio, Proportion, and Variation

Chapter 7: Functions and Graphs
Section 7.1: Graphing Relations and Functions
Section 7.2: Linear Functions, Relations, and Applications
Section 7.3: Slopes and Equations of a Line
Section 7.4: Quadratic Functions and Their Graphs
Section 7.5: Exponential and Logarithmic Functions
Section 7.6: Exponential and Logarithmic Functions
Section 7.7: Linear Inequalities
Section 7.8: Linear Programming

Chapter 8: Geometry
Section 8.1: Points, Lines, Planes, and Angles
Section 8.2: Triangles and Other Polygons
Section 8.4: Area Measure and the Pythagorean Theorem
Section 8.5: Volume and Surface Area
Section 8.6: Networks, Non-Euclidean Geometry, and Topology
Section 8.7: Chaos and Fractals

Chapter 9: Mathematical Systems and Matrices
Section 9.1: Matrix Operations
Section 9.2: Solving Systems of Linear Equations with Matrices
Section 9.3: Clock and Modular Arithmetic
Section 9.4: Abstract Mathematical Systems: Groups and Fields
Section 9.5: Game Theory

Chapter 10: Counting Techniques
Section 10.1: The Sequential Counting Principle (SCP): A Problem-Solving Tool
Section 10.2: Permutations
Section 10.3: Combinations
Section 10.4: Miscellaneous Counting Methods

Chapter 11: Probability
Section 11.1: Sample Spaces and Probability
Section 11.2: Counting Techniques and Probability
Section 11.3: Computation of Probabilities
Section 11.4: Conditional Probability
Section 11.5: Independent Events
Section 11.6: Odds and Mathematical Expectation

Chapter 12: Statistics
Section 12.1: Sampling and Frequency Distributions
Section 12.2: Measures of Central Tendency: The Mean, Median, and Mode
Section 12.3: Measures of Dispersion: The Range and Standard Deviation
Section 12.4: The Normal Distribution: A Problem-Solving Tool
Section 12.5: Statistical Graphs: A Problem-Solving Tool
Section 12.6: Making Predictions: Linear Regression
Section 12.7: Scattergrams and Correlation

Chapter 13: Your Money and Your Math
Section 13.1: Interest, Taxes, and Discounts
Section 13.2: Credit Cards and Consumer Credit
Section 13.3: Annual Percentage Rate (APR) and the Rule of 78
Section 13.4: Buying a House

Chapter 14: Voting and Apportionment
Section 14.1: Voting Systems
Section 14.2: Voting Objections
Section 14.3: Apportionment Methods
Section 14.4: Apportionment Objections

Chapter 15: Graph Theory
Section 15.1: Introduction to Graph Theory
Section 15.2: Euler Paths and Euler Circuits
Section 15.3: Hamilton Paths and Hamilton Circuits
Section 15.4: Trees



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