Precalculus / Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger

Content
1. Graphs, Functions and Models
1.1 Introduction
1.2 Functions and graphs
1.3 Linear functions, slope and modeling
1.4 More functions
etc

2. Functions, Equations and Inequalities
2.1 Linear equations and models
2.2 The complex numbers
2.3 Quadratic Equations, functions and models
2.4 Analyzing graphs of quadratic functions
2.5 More equations solving
etc

3. Polynomial and Rational Functions
3.1 Polynomial functions and models
3.2 Polynomial division
3.3 Theorem about Zeros of Polynomial function
3.4 Rational function
3.5 Polynomial and rational inequalities
etc

4. Exponential and Logarithmic Functions
4.1 Composite and inverse functions
4.2 Exponential functions and graphs
4.3 Logarithmic functions and graphs
4.4 Properties of Logarithmic functions
4.5 Solving exponential and Logarithmic Equations
etc

5. The trigonometric Function
5.1 trigonometric Function of acute angles
5.2 Application of right triangles
5.3 Trigonometric Functions of any angle
5.4 Radians, Arc length and properties
5.5 Graphs of transformed sine and cosine functions

6. Trigonometrica Identities, Inverse, Functions and Equations
6.1 Identities: Pythagorean and sum and difference
6.2 Identities: Cofunction, Double-Angle and Half-Angle
6.3 Providing trigonometric identities
6.4 Inverse of trigonometric identities
6.5 Solving trigonometric equations

7. Applications of trigonometry
7.1 The law of sine
7.2 The law of Cosine
7.3 Complex numbers: trigonometric form
7.4 Polar coordinates and graphs
7.5 Vector applications
etc

8. Systems of Equations and matrices
8.1 Systems of Equations in two varibles
8.2 Systems of Equations in three variables
8.3 Matrices and Systems of Equations
8.4 Matrix operation
8.4 Inverse matrices
etc

9. Conic Sections
9.1 The parabola
9.2 The Circle and the Ellipse
9.3 The Hyperbola
9.4 Nonlinear systems of equations

10. Sequences, series and combinatorics
10.1 Sequences and series
10.2 Arithmetic sequences and series
10.3 Geometric sequences and series
10.4 Mathematical induction
10.5 Combinatoric: Permutations

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