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OpenStax Precalculus (2nd Edition)
OpenStax Precalculus (2nd Edition)
Common Core aligned
73 sections · 1 with slides
I
Functions
SEC.1.1
Functions and Function Notation
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SEC.1.2
Domain and Range
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SEC.1.3
Rates of Change and Behavior of Graphs
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SEC.1.4
Composition of Functions
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SEC.1.5
Transformation of Functions
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SEC.1.6
Absolute Value Functions
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SEC.1.7
Inverse Functions
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II
Linear Functions
SEC.2.1
Linear Functions
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SEC.2.2
Graphs of Linear Functions
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SEC.2.3
Modeling with Linear Functions
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SEC.2.4
Fitting Linear Models to Data
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III
Polynomial and Rational Functions
SEC.3.1
Complex Numbers
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SEC.3.2
Quadratic Functions
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SEC.3.3
Power Functions and Polynomial Functions
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SEC.3.4
Graphs of Polynomial Functions
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SEC.3.5
Dividing Polynomials
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SEC.3.6
Zeros of Polynomial Functions
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SEC.3.7
Rational Functions
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SEC.3.8
Inverses and Radical Functions
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SEC.3.9
Modeling Using Variation
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IV
Exponential and Logarithmic Functions
SEC.4.1
Exponential Functions
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SEC.4.2
Graphs of Exponential Functions
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SEC.4.3
Logarithmic Functions
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SEC.4.4
Graphs of Logarithmic Functions
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SEC.4.5
Logarithmic Properties
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SEC.4.6
Exponential and Logarithmic Equations
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SEC.4.7
Exponential and Logarithmic Models
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SEC.4.8
Fitting Exponential Models to Data
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V
Trigonometric Functions
SEC.5.1
Angles
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SEC.5.2
Unit Circle: Sine and Cosine Functions
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SEC.5.3
The Other Trigonometric Functions
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SEC.5.4
Right Triangle Trigonometry
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VI
Periodic Functions
SEC.6.1
Graphs of the Sine and Cosine Functions
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SEC.6.2
Graphs of the Other Trigonometric Functions
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SEC.6.3
Inverse Trigonometric Functions
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VII
Trigonometric Identities and Equations
SEC.7.1
Solving Trigonometric Equations with Identities
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SEC.7.2
Sum and Difference Identities
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SEC.7.3
Double-Angle, Half-Angle, and Reduction Formulas
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SEC.7.4
Sum-to-Product and Product-to-Sum Formulas
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SEC.7.5
Solving Trigonometric Equations
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SEC.7.6
Modeling with Trigonometric Equations
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VIII
Further Applications of Trigonometry
SEC.8.1
Non-right Triangles: Law of Sines
SEC.8.2
Non-right Triangles: Law of Cosines
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SEC.8.3
Polar Coordinates
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SEC.8.4
Polar Coordinates: Graphs
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SEC.8.5
Polar Form of Complex Numbers
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SEC.8.6
Parametric Equations
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SEC.8.7
Parametric Equations: Graphs
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SEC.8.8
Vectors
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IX
Systems of Equations and Inequalities
SEC.9.1
Systems of Linear Equations: Two Variables
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SEC.9.2
Systems of Linear Equations: Three Variables
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SEC.9.3
Systems of Nonlinear Equations and Inequalities: Two Variables
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SEC.9.4
Partial Fractions
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SEC.9.5
Matrices and Matrix Operations
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SEC.9.6
Solving Systems with Gaussian Elimination
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SEC.9.7
Solving Systems with Inverses
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SEC.9.8
Solving Systems with Cramer's Rule
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X
Analytic Geometry
SEC.10.1
The Ellipse
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SEC.10.2
The Hyperbola
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SEC.10.3
The Parabola
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SEC.10.4
Rotation of Axes
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SEC.10.5
Conic Sections in Polar Coordinates
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XI
Sequences, Probability and Counting Theory
SEC.11.1
Sequences and Their Notations
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SEC.11.2
Arithmetic Sequences
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SEC.11.3
Geometric Sequences
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SEC.11.4
Series and Their Notations
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SEC.11.5
Counting Principles
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SEC.11.6
Binomial Theorem
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SEC.11.7
Probability
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XII
Introduction to Calculus
SEC.12.1
Finding Limits: Numerical and Graphical Approaches
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SEC.12.2
Finding Limits: Properties of Limits
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SEC.12.3
Continuity
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SEC.12.4
Derivatives
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