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Chapter 1: Basic Concepts of Algebra
The Real-Number System
Exponential, Scientific, and Absolute-Value Notation
Addition and Subtraction of Algebraic Expressions
Multiplication of Algebraic Expressions
Factoring
Rational Expressions
Radical Notation
Rational Exponents
Handling Dimension Symbols
Chapter 2: Equations, Inequalities, and Problem Solving
Solving Equations and Inequalities
Rational Equations
Formulas and Problem Solving
The Complex Numbers
Quadratic Equations
Formulas and Problem Solving
Radical Equations
Equations Reducible to Quadratic Variation
Chapter 3: Functions, Graphs, and Transformations
Graphs of Equations
The Distance Formula and Circles
Functions
Lines and Linear Functions
Graphs and Applications of Functions
Symmetry
Combinations of Functions
Transformations of Functions
Chapter 4: Polynomial and Rational Functions
Quadratic Functions
Sets, Sentences, and Inequalities
Equations and Inequalities with Absolute Value
Polynomial and Rational Inequalities
Graphs of Polynomial Functions
Division of Polynomials
Theorems about Roots
Further Help in Finding Roots
Rational Functions
Chapter 5: Exponential and Logarithmic Functions
Inverses of Relations and Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithmic Functions
Finding Logarithmic Function Values on a Calculator
Graphs of Exponential Functions with Base e, and Applications
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
Applications of Exponential and Natural Logarithmic Functions
Chapter 6: Systems and Matrices
Systems of Equations in Two Variables
Systems of Equations in Three or More Variables
Special Cases of Systems
Matrices
Determinants and Cramer's Rule
Inverses of Matrices
Systems of Inequalities and Linear Programming
Partial Fractions
Chapter 7: Conic Sections
Conic Sections: Lines and Ellipses
Conic Sections: Hyperbolas
Conic Sections: Parabolas
Systems of First-Degree and Second-Degree Equations
Systems of Second-Degree Equations
Chapter 8: Sequences, Series, and Combinatorics
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction
Combinatorics: Permutations
Combinatorics: Combinations
The Binomial Theorem
Probability
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