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OpenStax Precalculus (2nd Edition)
OpenStax Precalculus (2nd Edition)
73 sections ยท 1 with slides
I
Functions
1
Functions and Function Notation
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2
Domain and Range
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3
Rates of Change and Behavior of Graphs
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4
Composition of Functions
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5
Transformation of Functions
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6
Absolute Value Functions
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7
Inverse Functions
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II
Linear Functions
1
Linear Functions
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2
Graphs of Linear Functions
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3
Modeling with Linear Functions
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4
Fitting Linear Models to Data
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III
Polynomial and Rational Functions
1
Complex Numbers
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2
Quadratic Functions
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3
Power Functions and Polynomial Functions
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4
Graphs of Polynomial Functions
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5
Dividing Polynomials
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6
Zeros of Polynomial Functions
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7
Rational Functions
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8
Inverses and Radical Functions
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9
Modeling Using Variation
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IV
Exponential and Logarithmic Functions
1
Exponential Functions
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2
Graphs of Exponential Functions
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3
Logarithmic Functions
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4
Graphs of Logarithmic Functions
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5
Logarithmic Properties
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6
Exponential and Logarithmic Equations
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7
Exponential and Logarithmic Models
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8
Fitting Exponential Models to Data
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V
Trigonometric Functions
1
Angles
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2
Unit Circle: Sine and Cosine Functions
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3
The Other Trigonometric Functions
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4
Right Triangle Trigonometry
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VI
Periodic Functions
1
Graphs of the Sine and Cosine Functions
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2
Graphs of the Other Trigonometric Functions
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3
Inverse Trigonometric Functions
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VII
Trigonometric Identities and Equations
1
Solving Trigonometric Equations with Identities
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2
Sum and Difference Identities
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3
Double-Angle, Half-Angle, and Reduction Formulas
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4
Sum-to-Product and Product-to-Sum Formulas
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5
Solving Trigonometric Equations
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6
Modeling with Trigonometric Equations
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VIII
Further Applications of Trigonometry
1
Non-right Triangles: Law of Sines
2
Non-right Triangles: Law of Cosines
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3
Polar Coordinates
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4
Polar Coordinates: Graphs
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5
Polar Form of Complex Numbers
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6
Parametric Equations
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7
Parametric Equations: Graphs
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8
Vectors
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IX
Systems of Equations and Inequalities
1
Systems of Linear Equations: Two Variables
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2
Systems of Linear Equations: Three Variables
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3
Systems of Nonlinear Equations and Inequalities: Two Variables
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4
Partial Fractions
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5
Matrices and Matrix Operations
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6
Solving Systems with Gaussian Elimination
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7
Solving Systems with Inverses
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8
Solving Systems with Cramer's Rule
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X
Analytic Geometry
1
The Ellipse
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2
The Hyperbola
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3
The Parabola
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4
Rotation of Axes
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5
Conic Sections in Polar Coordinates
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XI
Sequences, Probability and Counting Theory
1
Sequences and Their Notations
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2
Arithmetic Sequences
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3
Geometric Sequences
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4
Series and Their Notations
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5
Counting Principles
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6
Binomial Theorem
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7
Probability
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XII
Introduction to Calculus
1
Finding Limits: Numerical and Graphical Approaches
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2
Finding Limits: Properties of Limits
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3
Continuity
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4
Derivatives
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