Algebra and Trigonometry
by Paul Sisson
Algebra and Trigonometry is thoughtfully written with an emphasis on connecting mathematics to the realworld. The content of each chapter is introduced using historical context as a hook, and strategically embedded technology notes ensure students become confident in the use of modern technologies. Expansive exercise sets provide ample opportunity to develop fluency through practice while building conceptual understanding using a variety of tasks from skill and applicationbased assessments to critical thinking challenges. Chapter tests and projects ensure students can demonstrate a comprehensive understanding of the curriculum.
This title begins by introducing the student to the concepts of elementary functions and their properties, and then gradually builds the foundation of exponential, logarithmic, and trigonometric functions, the latter of which are developed using both right triangles and the unit circle. Additional topics include polar and parametric equations, vectors in the plane, hyperbolic functions, conic sections, systems of equations, sequences, and series. This title is suitable for college algebra, trigonometry, and precalculus courses.
Formats: Software, Textbook, eBook
Product  ISBN 

Software + eBook + Textbook  9781642775297 
Table of Contents

Chapter 1: Fundamental Concepts of Algebra
 1.1 Real Numbers
 1.2 The Arithmetic of Algebraic Expressions
 1.3 Properties of Exponents
 1.4 Properties of Radicals
 1.5 Polynomials
 1.6 Factoring Polynomials
 1.7 Rational Expressions
 1.8 Complex Numbers
 Chapter 1 Review

Chapter 2: Equations and Inequalities in One Variable
 2.1 Linear Equations in One Variable
 2.2 Linear Inequalities in One Variable
 2.3 Quadratic Equations in One Variable
 2.4 Polynomial and PolynomialLike Equations in One Variable
 2.5 Rational Equations in One Variable
 2.6 Radical Equations in One Variable
 Chapter 2 Review

Chapter 3: Equations and Inequalities in Two Variables
 3.1 The Cartesian Coordinate System
 3.2 Circles
 3.3 Linear Equations in Two Variables
 3.4 Slope and Forms of Linear Equations
 3.5 Parallel and Perpendicular Lines
 3.6 Linear Inequalities in Two Variables
 Chapter 3 Review

Chapter 4: Relations, Functions, and Their Graphs
 4.1 Relations and Functions
 4.2 Linear Functions
 4.3 Quadratic Functions
 4.4 Other Common Functions
 4.5 Variation and Multivariable Functions
 4.6 Mathematical Models
 Chapter 4 Review

Chapter 5: Working with Functions
 5.1 Transformations of Functions
 5.2 Properties of Functions
 5.3 Combining Functions
 5.4 Inverses of Functions
 Chapter 5 Review

Chapter 6: Polynomial and Rational Functions
 6.1 Polynomial Functions and Polynomial Inequalities
 6.2 Polynomial Division and the Division Algorithm
 6.3 Locating Real Zeros of Polynomial Functions
 6.4 The Fundamental Theorem of Algebra
 6.5 Rational Functions and Rational Inequalities
 Chapter 6 Review

Chapter 7: Exponential and Logarithmic Functions
 7.1 Exponential Functions and Their Graphs
 7.2 Exponential Models
 7.3 Logarithmic Functions and Their Graphs
 7.4 Logarithmic Properties and Models
 7.5 Exponential and Logarithmic Equations
 Chapter 7 Review

Chapter 8: Trigonometric Functions
 8.1 Radian and Degree Measure
 8.2 Trigonometric Functions and Right Triangles
 8.3 Trigonometric Functions and the Unit Circle
 8.4 Graphs of Sine and Cosine Functions
 8.5 Graphs of Other Trigonometric Functions
 8.6 Inverse Trigonometric Functions
 Chapter 8 Review

Chapter 9: Trigonometric Identities and Equations
 9.1 Fundamental Trigonometric Identities
 9.2 Sum and Difference Identities
 9.3 ProductSum Identities
 9.4 Trigonometric Equations
 Chapter 9 Review

Chapter 10: Additional Topics in Trigonometry
 10.1 The Law of Sines
 10.2 The Law of Cosines
 10.3 Polar Coordinates and Polar Equations
 10.4 Parametric Equations
 10.5 Trigonometric Form of Complex Numbers
 10.6 Vectors in the Cartesian Plane
 10.7 The Dot Product
 10.8 Hyperbolic Functions
 Chapter 10 Review

Chapter 11: Conic Sections
 11.1 Ellipses
 11.2 Parabolas
 11.3 Hyperbolas
 11.4 Rotation of Conic Sections
 11.5 Polar Equations of Conic Sections
 Chapter 11 Review

Chapter 12: Systems of Equations and Inequalities
 12.1 Solving Systems of Linear Equations by Substitution and Elimination
 12.2 Matrix Notation and GaussJordan Elimination
 12.3 Determinants and Cramer's Rule
 12.4 Basic Matrix Operations
 12.5 Inverses of Matrices
 12.6 Partial Fraction Decomposition
 12.7 Systems of Linear Inequalities and Linear Programming
 12.8 Systems of Nonlinear Equations and Inequalities
 Chapter 12 Review

Chapter 13: Sequences, Series, Combinatorics, and Probability
 13.1 Sequences and Series
 13.2 Arithmetic Sequences and Series
 13.3 Geometric Sequences and Series
 13.4 Mathematical Induction
 13.5 Combinatorics
 13.6 Probability
 Chapter 13 Review