Algebra 2: Applications, Equations, Graphs
Larson, Boswell, Kanold, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Real Numbers and Number Operations
Algebraic Expressions and Models
Solving Linear Equations
Rewriting Equations and Formulas
Problem Solving Using Algebraic Models
Solving Linear Inequalities
Solving Absolute Value Equations and Inequalities
Functions and Their Graphs
Slope and Rate of Change
Quick Graphs of Linear Equations
Writing Equations of Lines
Correlation and Best-Fitting Lines
Linear Inequalities in Two Variables
Piecewise and Absolute Value Function
Solving Linear Systems by Graphing or Algebraically
Graphing and Solving Systems of Linear Inequalities
Linear Programming
Graphing Linear Equations in Three Variables
Solving Systems of Linear Equations in Three Variables
Matrix Operations and Multiplying Matrices
Determinants and Cramer’s Rule
Identity and Inverse Matrices
Solving Systems of Equations Using Inverse Matricespe
Graphing Quadratic Functions
Solving Quadratic Equations by Factoring and by Finding Square Roots
Complex Numbers
Completing the Square
The Quadratic Formula and the Discriminant
Graphing and Solving Quadratic Inequalities
Modeling with Quadratic Functions
Using Properties of Exponents
Evaluating and Graphing Polynomial Functions
Adding, Subtracting and Multiplying Polynomials
Factoring and Solving Polynomial Equations
The Remainder and Factor Theorems
Finding Rational Zeros
Using the Fundamental Theorem of Algebra
Analyzing Graphs of Polynomial Functions
Modeling with Polynomial Functions
nth Roots and Rational Exponents
Properties of Rational Exponents
Power Functions and Function Operations
Inverse Functions
Graphing Square Root and Cube Root Functions
Solving Radical Equations
Statistics and Statistical Graphs
Exponential Growth and Decay
The Number e
Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Modeling with Exponential and Power Functions
Logistic Growth Functions
Inverse and Joint Variation
Graphing Simple and General Rational Functions
Multiplying and Dividing Rational Expressions
Addition, Subtraction, and Complex Fractions
Solving Rational Equations
The Distance and Midpoint Formulas
Parabolas, Circles, Ellipses and Hyperbolas
Graphing and Classifying Conics
Solving Quadratic Systems
Introduction to Sequences and Series
Arithmetic and Geometric Sequences and Series
Infinite Geometric Series
Recursive Rules for Sequences
The Fundamental Counting Principle and Permutations
Combinations and the Binomial Theorem
Introduction to Probability and Probability of Compound Events
Probability of Independent and Dependent Events
Binomial and Normal Distributions
Right Triangle Trigonometry
General Angles and Radian Measure
Trigonometric Functions of Any Angle
Inverse Trigonometric Functions
The Law of Sines
The Law of Cosines
Parametric Equations and Projectile Motion
Graphing Sine, Cosine, and Tangent Functions
Translations and Reflections of Trigonometric Graphs
Verifying Trigonometric Identities
Solving Trigonometric Equations
Modeling with Trigonometric Functions
Using Sum and Difference Formulas
Using Double-Angle and Half-Angle Formulas
Larson, Boswell, Kanold, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Real Numbers and Number Operations
Algebraic Expressions and Models
Solving Linear Equations
Rewriting Equations and Formulas
Problem Solving Using Algebraic Models
Solving Linear Inequalities
Solving Absolute Value Equations and Inequalities
Functions and Their Graphs
Slope and Rate of Change
Quick Graphs of Linear Equations
Writing Equations of Lines
Correlation and Best-Fitting Lines
Linear Inequalities in Two Variables
Piecewise and Absolute Value Function
Solving Linear Systems by Graphing or Algebraically
Graphing and Solving Systems of Linear Inequalities
Linear Programming
Graphing Linear Equations in Three Variables
Solving Systems of Linear Equations in Three Variables
Matrix Operations and Multiplying Matrices
Determinants and Cramer’s Rule
Identity and Inverse Matrices
Solving Systems of Equations Using Inverse Matricespe
Graphing Quadratic Functions
Solving Quadratic Equations by Factoring and by Finding Square Roots
Complex Numbers
Completing the Square
The Quadratic Formula and the Discriminant
Graphing and Solving Quadratic Inequalities
Modeling with Quadratic Functions
Using Properties of Exponents
Evaluating and Graphing Polynomial Functions
Adding, Subtracting and Multiplying Polynomials
Factoring and Solving Polynomial Equations
The Remainder and Factor Theorems
Finding Rational Zeros
Using the Fundamental Theorem of Algebra
Analyzing Graphs of Polynomial Functions
Modeling with Polynomial Functions
nth Roots and Rational Exponents
Properties of Rational Exponents
Power Functions and Function Operations
Inverse Functions
Graphing Square Root and Cube Root Functions
Solving Radical Equations
Statistics and Statistical Graphs
Exponential Growth and Decay
The Number e
Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Modeling with Exponential and Power Functions
Logistic Growth Functions
Inverse and Joint Variation
Graphing Simple and General Rational Functions
Multiplying and Dividing Rational Expressions
Addition, Subtraction, and Complex Fractions
Solving Rational Equations
The Distance and Midpoint Formulas
Parabolas, Circles, Ellipses and Hyperbolas
Graphing and Classifying Conics
Solving Quadratic Systems
Introduction to Sequences and Series
Arithmetic and Geometric Sequences and Series
Infinite Geometric Series
Recursive Rules for Sequences
The Fundamental Counting Principle and Permutations
Combinations and the Binomial Theorem
Introduction to Probability and Probability of Compound Events
Probability of Independent and Dependent Events
Binomial and Normal Distributions
Right Triangle Trigonometry
General Angles and Radian Measure
Trigonometric Functions of Any Angle
Inverse Trigonometric Functions
The Law of Sines
The Law of Cosines
Parametric Equations and Projectile Motion
Graphing Sine, Cosine, and Tangent Functions
Translations and Reflections of Trigonometric Graphs
Verifying Trigonometric Identities
Solving Trigonometric Equations
Modeling with Trigonometric Functions
Using Sum and Difference Formulas
Using Double-Angle and Half-Angle Formulas