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Algebra y trigonometria - R. Larson, D. Falvo - Algebra and Trigonometry - 8th Ed

Algebra y Trigonometry  - R. Larson, D. Falvo - 8 Ed.PDF

1. Equations, Inequalities, and Mathematical Modeling

  • 1.1 Graphs of Equations 
  • 1.2 Linear Equations in One Variable 
  • 1.3 Modeling with Linear Equations
  • 1.4 Quadratic Equations and Applications
  • 1.5 Complex Numbers 
  • 1.6 Other Types of Equations 
  • 1.7 Linear Inequalities in One Variable
  • 1.8 Other Types of Inequalities

2. Functions and Their Graphs

  • 2.1 Linear Equations in Two Variables 
  • 2.2 Functions 
  • 2.3 Analyzing Graphs of Functions 
  • 2.4 A Library of Parent Functions 
  • 2.5 Transformations of Functions 
  • 2.6 Combinations of Functions: Composite Functions 
  • 2.7 Inverse Functions

3. Polynomial Functions

  • 3.1 Quadratic Functions and Models 
  • 3.2 Polynomial Functions of Higher Degree
  • 3.3 Polynomial and Synthetic Division 
  • 3.4 Zeros of Polynomial Functions 
  • 3.5 Mathematical Modeling and Variation

4. Rational Functions and Conics

  • 4.1 Rational Functions and Asymptotes 
  • 4.2 Graphs of Rational Functions 
  • 4.3 Conics 
  • 4.4 Translations of Conics

5.Exponential and Logarithmic Functions

  • 5.1 Exponential Functions and Their Graphs 
  • 5.2 Logarithmic Functions and Their Graphs 
  • 5.3 Properties of Logarithms 
  • 5.4 Exponential and Logarithmic Equations 
  • 5.5 Exponential and Logarithmic Models

6. Trigonometry

  • 6.1 Angles and Their Measure 
  • 6.2 Right Triangle Trigonometry 
  • 6.3 Trigonometric Functions of Any Angle 
  • 6.4 Graphs of Sine and Cosine Functions 
  • 6.5 Graphs of Other Trigonometric Functions
  • 6.6 Inverse Trigonometric Functions
  • 6.7 Applications and Models

Analytic Trigonometry

  • 7.1 Using Fundamental Identities 
  • 7.2 Verifying Trigonometric Identities 
  • 7.3 Solving Trigonometric Equations 
  • 7.4 Sum and Difference Formulas
  • 7.5 Multiple-Angle and Product-to-Sum Formulas

Additional Topics in Trigonometry

  • 8.1 Law of Sines 
  • 8.2 Law of Cosines 
  • 8.3 Vectors in the Plane
  • 8.4 Vectors and Dot Products 
  • 8.5 Trigonometric Form of a Complex Number

Systems of Equations and Inequalities

  • 9.1 Linear and Nonlinear Systems of Equations 
  • 9.2 Two-Variable Linear Systems 
  • 9.3 Multivariable Linear Systems 
  • 9.4 Partial Fractions 
  • 9.5 Systems of Inequalities 
  • 9.6 Linear Programming

10 Matrices and Determinants

  • 10.1 Matrices and Systems of Equations 
  • 10.2 Operations with Matrices 
  • 10.3 The Inverse of a Square Matrix 
  • 10.4 The Determinant of a Square Matrix
  • 10.5 Applications of Matrices and Determinants

11 Sequences, Series, and Probability

  • 11.1 Sequences and Series 800
  • 11.2 Arithmetic Sequences and Partial Sums 811
  • 11.3 Geometric Sequences and Series 821
  • 11.4 Mathematical Induction 831
  • 11.5 The Binomial Theorem 841
  • 11.6 Counting Principles 849
  • 11.7 Probability

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