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Produktbild: Precalculus: A Right Triangle Approach

Precalculus: A Right Triangle Approach

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Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

28.09.2024

Verlag

Pearson Academic

Seitenzahl

992

Maße (L/B/H)

28.2/22.4/3.8 cm

Gewicht

2059 g

Auflage

5. Auflage

Sprache

Englisch

ISBN

978-0-321-97008-4

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

28.09.2024

Verlag

Pearson Academic

Seitenzahl

992

Maße (L/B/H)

28.2/22.4/3.8 cm

Gewicht

2059 g

Auflage

5. Auflage

Sprache

Englisch

ISBN

978-0-321-97008-4

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  • Produktbild: Precalculus: A Right Triangle Approach
  • Table of Contents


    1. Graphs, Functions, and Models

      • 1.1 Introduction to Graphing

      • 1.2 Functions and Graphs

      • 1.3 Linear Functions, Slope, and Applications

      • 1.4 Equations of Lines and Modeling

      • 1.5 Linear Equations, Functions, Zeros, and Applications

      • 1.6 Solving Linear Inequalities


    2. More on Functions

      • 2.1 Increasing, Decreasing, and Piecewise Functions; Applications

      • 2.2 The Algebra of Functions

      • 2.3 The Composition of Functions

      • 2.4 Symmetry

      • 2.5 Transformations

      • 2.6 Variation and Applications


    3. Quadratic Functions and Equations; Inequalities

      • 3.1 The Complex Numbers

      • 3.2 Quadratic Equations, Functions, Zeros, and Models

      • 3.3 Analyzing Graphs of Quadratic Functions

      • 3.4 Solving Rational Equations and Radical Equations

      • 3.5 Solving Equations and Inequalities with Absolute Value


    4. Polynomial Functions and Rational Functions

      • 4.1 Polynomial Functions and Models

      • 4.2 Graphing Polynomial Functions

      • 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem

      • 4.4 Theorems about Zeros of Polynomial Functions

      • 4.5 Rational Functions

      • 4.6 Polynomial Inequalities and Rational Inequalities


    5. Exponential Functions and Logarithmic Functions

      • 5.1 Inverse Functions

      • 5.2 Exponential Functions and Graphs

      • 5.3 Logarithmic Functions and Graphs

      • 5.4 Properties of Logarithmic Functions

      • 5.5 Solving Exponential Equations and Logarithmic Equations

      • 5.6 Applications and Models: Growth and Decay; Compound Interest


    6. The Trigonometric Functions

      • 6.1 Trigonometric Functions of Acute Angles

      • 6.2 Applications of Right Triangles

      • 6.3 Trigonometric Functions of Any Angle

      • 6.4 Radians, Arc Length, and Angular Speed

      • 6.5 Circular Functions: Graphs and Properties

      • 6.6 Graphs of Transformed Sine and Cosine Functions


    7. Trigonometric Identities, Inverse Functions, and Equations

      • 7.1 Identities: Pythagorean and Sum and Difference

      • 7.2 Identities: Cofunction, Double-Angle, and Half-Angle

      • 7.3 Proving Trigonometric Identities

      • 7.4 Inverses of the Trigonometric Functions

      • 7.5 Solving Trigonometric Equations


    8. Applications of Trigonometry

      • 8.1 The Law of Sines

      • 8.2 The Law of Cosines

      • 8.3 Complex Numbers: Trigonometric Notation

      • 8.4 Polar Coordinates and Graphs

      • 8.5 Vectors and Applications

      • 8.6 Vector Operations


    9. Systems of Equations and Matrices

      • 9.1 Systems of Equations in Two Variables

      • 9.2 Systems of Equations in Three Variables

      • 9.3 Matrices and Systems of Equations

      • 9.4 Matrix Operations

      • 9.5 Inverses of Matrices

      • 9.6 Determinants and Cramer’s Rule

      • 9.7 Systems of Inequalities and Linear Programming

      • 9.8 Partial Fractions


    10. Conic Sections

      • 10.1 The Parabola

      • 10.2 The Circle and the Ellipse

      • 10.3 The Hyperbola

      • 10.4 Nonlinear Systems of Equations and Inequalities

      • 10.5 Rotation of Axes

      • 10.6 Polar Equations of Conics

      • 10.7 Parametric Equations


    11. Sequences, Series, and Combinatorics

      • 11.1 Sequences and Series

      • 11.2 Arithmetic Sequences and Series

      • 11.3 Geometric Sequences and Series

      • 11.4 Mathematical Induction

      • 11.5 Combinatorics: Permutations

      • 11.6 Combinatorics: Combinations

      • 11.7 The Binomial Theorem

      • 11.8 Probability