(Ebook) Algebra and Trigonometry 8th Edition by Ron Larson ISBN 1439048479 9781439048474

(Ebook) Algebra and Trigonometry 8th Edition by Ron Larson ISBN 1439048479 9781439048474

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Product details:

ISBN 10: 1439048479 
ISBN 13: 9781439048474
Author: Ron Larson

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Eighth Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

(Ebook) Algebra and Trigonometry 8th Table of contents:

• Chapter 1: Equations and Inequalities

  • Linear and Absolute Value Equations

  • Formulas and Applications

  • Quadratic Equations

  • Other Types of Equations (Radical, Fractional, Equations Quadratic in Form)

  • Inequalities (Linear, Polynomial, Rational, Absolute Value)

  • Variation and Applications

• Chapter 2: Functions and Graphs

  • Two-Dimensional Coordinate System and Graphs

  • Introduction to Functions

  • Linear Functions

  • Quadratic Functions

  • Properties of Graphs (Symmetry, Intercepts)

  • Algebra of Functions (Combinations, Composition)

  • Graphing Techniques: Transformations

  • Modeling Data Using Regression (Linear, Quadratic)

• Chapter 3: Polynomial and Rational Functions

  • Polynomial Functions of Higher Degree

  • The Graph of a Polynomial Function

  • Polynomial and Synthetic Division

  • Zeros of Polynomial Functions (Remainder Theorem, Factor Theorem, Rational Zero Theorem)

  • Complex Zeros; Fundamental Theorem of Algebra

  • Graphs of Rational Functions and Their Applications (Asymptotes)

  • Polynomial and Rational Inequalities

• Chapter 4: Exponential and Logarithmic Functions

  • Inverse Functions

  • Exponential Functions and Their Applications

  • Logarithmic Functions and Their Applications

  • Properties of Logarithms and Logarithmic Scales

  • Exponential and Logarithmic Equations

  • Exponential Growth and Decay / Financial Models

  • Modeling Data with Exponential and Logarithmic Functions

• Chapter 5: Trigonometric Functions

  • Angles and Their Measure (Degrees, Radians)

  • Right Triangle Trigonometry

  • Trigonometric Functions of Any Angle

  • Unit Circle Approach; Properties of the Trigonometric Functions

  • Graphs of the Sine and Cosine Functions

  • Graphs of the Other Trigonometric Functions (Tangent, Cotangent, Secant, Cosecant)

  • Graphing Techniques (Amplitude, Period, Phase Shift)

  • Harmonic Motion and Applications

• Chapter 6: Analytic Trigonometry / Trigonometric Identities and Equations

  • Verification of Trigonometric Identities

  • Sum, Difference, and Cofunction Identities

  • Double-Angle and Half-Angle Identities

  • Product-to-Sum and Sum-to-Product Formulas

  • Inverse Trigonometric Functions

  • Trigonometric Equations

• Chapter 7: Applications of Trigonometry

  • Applications Involving Right Triangles

  • Law of Sines

  • Law of Cosines and Area

  • Vectors (Magnitude, Direction, Dot Product)

  • Trigonometric Form of Complex Numbers

  • De Moivre's Theorem

• Chapter 8: Topics in Analytic Geometry

  • Parabolas

  • Ellipses

  • Hyperbolas

  • Rotation of Axes

  • Introduction to Polar Coordinates

  • Polar Equations of the Conics

  • Parametric Equations

• Chapter 9: Systems of Equations and Inequalities

  • Systems of Linear Equations in Two Variables (Substitution, Elimination)

  • Systems of Linear Equations in Three Variables

  • Nonlinear Systems of Equations

  • Partial Fractions

  • Inequalities in Two Variables and Systems of Inequalities

  • Linear Programming

• Chapter 10: Matrices and Determinants

  • Matrices and Systems of Equations (Gaussian Elimination)

  • Algebra of Matrices (Operations)

  • The Inverse of a Matrix

  • Determinants (Cramer's Rule)

  • Applications of Matrices and Determinants

• Chapter 11: Sequences, Series, and Probability

  • Sequences and Series

  • Arithmetic Sequences and Partial Sums

  • Geometric Sequences and Series

  • Mathematical Induction

  • The Binomial Theorem

  • Counting Principles (Permutations, Combinations)

  • Probability

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Tags: Ron Larson, Algebra, Trigonometry