# Alignment: OpenStax • Algebra and Trigonometry • 2015

• 1 Prerequisites
• 1.1 Real Numbers: Algebra Essentials
• 1.2 Exponents and Scientific Notation
• 1.3 Radicals and Rational Expressions
• 1.4 Polynomials
• 1.5 Factoring Polynomials
• 1.6 Rational Expressions
• 2 Equations and Inequalities
• 2.1 The Rectangular Coordinate Systems and Graphs
• 2.2 Linear Equations in One Variable
• 2.3 Models and Applications
• 2.4 Complex Numbers
• 2.6 Other Types of Equations
• 2.7 Linear Inequalities and Absolute Value Inequalities
• 3 Functions
• 3.1 Functions and Function Notation
• 3.2 Domain and Range
• 3.3 Rates of Change and Behavior of Graphs
• 3.4 Composition of Functions
• 3.5 Transformation of Functions
• 3.6 Absolute Value Functions
• 3.7 Inverse Functions
• 4 Linear Functions
• 4.1 Linear Functions
• 4.2 Modeling with Linear Functions
• 4.3 Fitting Linear Models to Data
• 5 Polynomial and Rational Functions
• 5.2 Power Functions and Polynomial Functions
• 5.3 Graphs of Polynomial Functions
• 5.4 Dividing Polynomials
• 5.5 Zeros of Polynomial Functions
• 5.6 Rational Functions
• 5.7 Inverses and Radical Functions
• 5.8 Modeling Using Variation
• 6 Exponential and Logarithmic Functions
• 6.1 Exponential Functions
• 6.2 Graphs of Exponential Functions
• 6.3 Logarithmic Functions
• 6.4 Graphs of Logarithmic Functions
• 6.5 Logarithmic Properties
• 6.6 Exponential and Logarithmic Equations
• 6.7 Exponential and Logarithmic Models
• 6.8 Fitting Exponential Models to Data
• 7 The Unit Circle: Sine and Cosine Functions
• 7.1 Angles
• 7.2 Right Triangle Trigonometry
• 7.3 Unit Circle
• 7.4 The Other Trigonometric Functions
• 8 Periodic Functions
• 8.1 Graphs of the Sine and Cosine Functions
• 8.2 Graphs of the Other Trigonometric Functions
• 8.3 Inverse Trigonometric Functions
• 9 Trigonometric Identities and Equations
• 9.1 Solving Trigonometric Equations with Identities
• 9.2 Sum and Difference Identities
• 9.3 Double-Angle, Half-Angle, and Reduction Formulas
• 9.4 Sum-to-Product and Product-to-Sum Formulas
• 9.5 Solving Trigonometric Equations
• 10 Further Applications of Trigonometry
• 10.1 Non-Right Triangles: Law of Sines
• 10.2 Non-Right Triangles: Law of Cosines
• 10.3 Polar Coordinates
• 10.4 Polar Coordinates: Graphs
• 10.5 Polar Form of Complex Numbers
• 10.6 Parametric Equations
• 10.7 Parametric Equations: Graphs
• 10.8 Vectors
• 11 Systems of Equations and Inequalities
• 11.1 Systems of Linear Equations: Two Variables
• 11.2 Systems of Linear Equations: Three Variables
• 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
• 11.4 Partial Fractions
• 11.5 Matrices and Matrix Operations
• 11.6 Solving Systems with Gaussian Elimination
• 11.7 Solving Systems with Inverses
• 11.8 Solving Systems with Cramer’s Rule
• 12 Analytic Geometry
• 12.1 The Ellipse
• 12.2 The Hyperbola
• 12.3 The Parabola
• 12.4 Rotation of Axis
• 12.5 Conic Sections in Polar Coordinates
• 13 Sequences, Probability and Counting Theory
• 13.1 Sequences and Their Notations
• 13.2 Arithmetic Sequences
• 13.3 Geometric Sequences
• 13.4 Series and Their Notations
• 13.5 Counting Principles
• 13.6 Binomial Theorem
• 13.7 Probability

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