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Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.
Chapter 1: Algebra, Mathematical Models, and Problem Solving
1.1 Algebraic Expressions and Real Numbers
1.2 Operations with Real Numbers and Simplifying Algebraic Expressions
1.3 Graphing Equations
1.4 Solving Linear Equations
Mid-Chapter Check Point
1.5 Problem Solving and Using Formulas
1.6 Problems of Integral Exponents
1.7 Scientific Notation
Chapter 1 Group Project
Summary
Review Exercises
Chapter 1 Test
Chapter 2: Functions and Linear Functions
2.1 Introduction to Functions
2.2 The Algebra of Functions
Mid-Chapter Check Point
2.3 Linear Functions and Slope
2.4 The Point-Slope Form of the Equation of a Line
Chapter 2 Group Project
Summary
Review Exercises
Chapter 2 Test
Cumulative Review Exercises (Chapters 1-2)
Chapter 3: Systems of Linear Equations
3.1 Systems of Linear Equations in Two Variables
3.2 Problem Solving and Business Applications Using Systems of Equations
3.3 Systems of Linear Equations in Three Variables
Mid-Chapter Check point
3.4 Matrix Solutions to Linear Systems
3.5 Determinants and Cramer's Rule
Chapter 3 Group Project
Summary
Review Exercises
Chapter 3 Test
Chapter 4: Inequalities and Problem Solving
4.1 Solving Linear Inequalities
4.2 Compound Inequalities
4.3 Equations and Inequalities Involving Absolute Value
Mid-Chapter Check Point
4.4 Linear Inequalities in Two Variables
4.5 Linear Programming
Chapter 4 Group Project
Summary
Review Exercises
Chapter 4 Test
Cumulative Review Exercises (Chapters 1-4)
Chapter 5: Polynomials, Polynomial Functions, and Factoring
5.1 Introduction to Polynomials and Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Greatest Common Factors and Factoring By Grouping
5.4 Factoring Trinomials
Mid-Chapter Check Point
5.5 Factoring Special Forms
5.6 A General Factoring Strategy
5.7 Polynomial Equations and Their Applications
Chapter 5 Group Project
Summary
Review Exercises
Chapter 5 Test
Chapter 6: Rational Expressions, Functions, and Equations
6.1 Rational Expressions and Functions: Multiplying and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Rational Expressions
6.4 Division of Polynomials
Mid-Chapter Check Point
6.5 Synthetic Division and the Remainder Theorem
6.6 Rational Equations
6.7 Formulas and Applications of Rational Equations
6.8 Modeling Using Variation
Chapter 6 Group Project
Summary
Review Exercises
Chapter 6 Test
Cumulative Review Exercises (Chapters 1-6)
Chapter 7: Radicals, Radical Functions, and Rational Exponents
7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Multiplying and Simplifying Radical Expressions
7.4 Adding, Subtracting, and Dividing Radical Expressions
Mid-Chapter Check Point
7.5 Multiplying with More Than One Term and Rationalizing Denominators
7.6 Radical Equations
7.7 Complex Numbers
Chapter 7 Group Project
Summary
Review Exercises
Chapter 7 Test
Chapter 8: Quadratic Equations and Functions
8.1 The Square Root Property and Completing the Square
8.2 The Quadratic Formula
8.3 Quadratic Functions and Their Graphs
Mid-Chapter Check Point
8.4 Equations Quadratic in Form
8.5 Polynomial and Rational Inequalities
Chapter 8 Group Project
Summary
Review Exercises
Chapter 8 Test
Cumulative Review Exercises (Chapters 1-8)
Chapter 9: Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
Mid-Chapter Check Point
9.5 Exponential and Logarithmic Equations
9.6 Exponential Growth and Decay; Modeling Data
Chapter 9 Group Project
Summary
Review Exercises
Chapter 9 Test
Chapter 10: Conic Sections and Systems of Nonlinear Equations
10.1 Distance and Midpoint Formulas; Circles
10.2 The Ellipse
10.3 The Hyperbola
Mid-Chapter Check Point
10.4 The Parabola; Identifying Conic Sections
10.5 Systems of Nonlinear Equations in Two Variables
Chapter 10 Group Project
Summary
Review Exercises
Chapter 10 Test
Cumulative Review Exercises (Chapters 1-10)
11. More on Polynomial and Rational Functions
11.1 Polynomial Functions and Their Graphs
11.2 Zeros of Polynomial Functions
Mid-Chapter Check Point
11.3 Rational Functions and Their Graphs
Chapter 11 Group Project
Summary
Review Exercises
Chapter 11 Test
Cumulative Review Exercises (Chapters 1-11)
12. Sequences, Induction, and Probability
12.1 Sequences and Summation Notation
12.2 Arithmetic Sequences
12.3 Geometric Sequences and Series
Mid-Chapter Check Point
12.4 The Binomial Theorem
12.5 Mathematical Induction
12.6 Counting Principles, Permutations, and Combinations
12.7 Probability
Cumulative Review Exercises (Chapters 1-12)
APPENDIX
Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Graphing Answer Section
Application Index
Subject Index
Photo Credits
Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.
Table of Contents
Chapter 1: Algebra, Mathematical Models, and Problem Solving
1.1 Algebraic Expressions and Real Numbers
1.2 Operations with Real Numbers and Simplifying Algebraic Expressions
1.3 Graphing Equations
1.4 Solving Linear Equations
Mid-Chapter Check Point
1.5 Problem Solving and Using Formulas
1.6 Problems of Integral Exponents
1.7 Scientific Notation
Chapter 1 Group Project
Summary
Review Exercises
Chapter 1 Test
Chapter 2: Functions and Linear Functions
2.1 Introduction to Functions
2.2 The Algebra of Functions
Mid-Chapter Check Point
2.3 Linear Functions and Slope
2.4 The Point-Slope Form of the Equation of a Line
Chapter 2 Group Project
Summary
Review Exercises
Chapter 2 Test
Cumulative Review Exercises (Chapters 1-2)
Chapter 3: Systems of Linear Equations
3.1 Systems of Linear Equations in Two Variables
3.2 Problem Solving and Business Applications Using Systems of Equations
3.3 Systems of Linear Equations in Three Variables
Mid-Chapter Check point
3.4 Matrix Solutions to Linear Systems
3.5 Determinants and Cramer's Rule
Chapter 3 Group Project
Summary
Review Exercises
Chapter 3 Test
Chapter 4: Inequalities and Problem Solving
4.1 Solving Linear Inequalities
4.2 Compound Inequalities
4.3 Equations and Inequalities Involving Absolute Value
Mid-Chapter Check Point
4.4 Linear Inequalities in Two Variables
4.5 Linear Programming
Chapter 4 Group Project
Summary
Review Exercises
Chapter 4 Test
Cumulative Review Exercises (Chapters 1-4)
Chapter 5: Polynomials, Polynomial Functions, and Factoring
5.1 Introduction to Polynomials and Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Greatest Common Factors and Factoring By Grouping
5.4 Factoring Trinomials
Mid-Chapter Check Point
5.5 Factoring Special Forms
5.6 A General Factoring Strategy
5.7 Polynomial Equations and Their Applications
Chapter 5 Group Project
Summary
Review Exercises
Chapter 5 Test
Chapter 6: Rational Expressions, Functions, and Equations
6.1 Rational Expressions and Functions: Multiplying and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Rational Expressions
6.4 Division of Polynomials
Mid-Chapter Check Point
6.5 Synthetic Division and the Remainder Theorem
6.6 Rational Equations
6.7 Formulas and Applications of Rational Equations
6.8 Modeling Using Variation
Chapter 6 Group Project
Summary
Review Exercises
Chapter 6 Test
Cumulative Review Exercises (Chapters 1-6)
Chapter 7: Radicals, Radical Functions, and Rational Exponents
7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Multiplying and Simplifying Radical Expressions
7.4 Adding, Subtracting, and Dividing Radical Expressions
Mid-Chapter Check Point
7.5 Multiplying with More Than One Term and Rationalizing Denominators
7.6 Radical Equations
7.7 Complex Numbers
Chapter 7 Group Project
Summary
Review Exercises
Chapter 7 Test
Chapter 8: Quadratic Equations and Functions
8.1 The Square Root Property and Completing the Square
8.2 The Quadratic Formula
8.3 Quadratic Functions and Their Graphs
Mid-Chapter Check Point
8.4 Equations Quadratic in Form
8.5 Polynomial and Rational Inequalities
Chapter 8 Group Project
Summary
Review Exercises
Chapter 8 Test
Cumulative Review Exercises (Chapters 1-8)
Chapter 9: Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
Mid-Chapter Check Point
9.5 Exponential and Logarithmic Equations
9.6 Exponential Growth and Decay; Modeling Data
Chapter 9 Group Project
Summary
Review Exercises
Chapter 9 Test
Chapter 10: Conic Sections and Systems of Nonlinear Equations
10.1 Distance and Midpoint Formulas; Circles
10.2 The Ellipse
10.3 The Hyperbola
Mid-Chapter Check Point
10.4 The Parabola; Identifying Conic Sections
10.5 Systems of Nonlinear Equations in Two Variables
Chapter 10 Group Project
Summary
Review Exercises
Chapter 10 Test
Cumulative Review Exercises (Chapters 1-10)
11. More on Polynomial and Rational Functions
11.1 Polynomial Functions and Their Graphs
11.2 Zeros of Polynomial Functions
Mid-Chapter Check Point
11.3 Rational Functions and Their Graphs
Chapter 11 Group Project
Summary
Review Exercises
Chapter 11 Test
Cumulative Review Exercises (Chapters 1-11)
12. Sequences, Induction, and Probability
12.1 Sequences and Summation Notation
12.2 Arithmetic Sequences
12.3 Geometric Sequences and Series
Mid-Chapter Check Point
12.4 The Binomial Theorem
12.5 Mathematical Induction
12.6 Counting Principles, Permutations, and Combinations
12.7 Probability
Cumulative Review Exercises (Chapters 1-12)
APPENDIX
Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Graphing Answer Section
Application Index
Subject Index
Photo Credits