Algebra and Trigonometry / Edition 2

Algebra and Trigonometry / Edition 2

by Cynthia Y. Young
     
 

View All Available Formats & Editions

ISBN-10: 0470222735

ISBN-13: 9780470222737

Pub. Date: 02/24/2009

Publisher: Wiley

The 3rd edition of Cynthia Young's Algebra and Trigonometry brings together all the elements that have allowed instructors and learners to successfully "bridge the gap" between classroom instruction and independent homework by overcoming common learning barriers and building confidence in students' ability to do mathematics. Written in a clear, voice that speaks to

Overview

The 3rd edition of Cynthia Young's Algebra and Trigonometry brings together all the elements that have allowed instructors and learners to successfully "bridge the gap" between classroom instruction and independent homework by overcoming common learning barriers and building confidence in students' ability to do mathematics. Written in a clear, voice that speaks to students and mirrors how instructors communicate in lecture, Young's hallmark pedagogy enables students to become independent, successful learners. Varied exercise types and modeling projects keep the learning fresh and motivating. The seamless integration of Cynthia Young's Algebra and Trigonometry, 3rd edition with WileyPLUS, a research-based, online environment for effective teaching and learning, continues Young's vision of building student confidence in mathematics because it takes the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and whether they did it right.

WileyPLUS sold separately from text.

Product Details

ISBN-13:
9780470222737
Publisher:
Wiley
Publication date:
02/24/2009
Edition description:
New
Pages:
1344
Product dimensions:
8.30(w) x 10.10(h) x 2.00(d)

Table of Contents

CHAPTER 0  PREREQUISITES AND REVIEW

0.1 Real Numbers
0.2 Integer Exponents and Scientific Notation
0.3 Polynomials: Basic Operations
0.4 Factoring Polynomials
0.5 Rational Expressions
0.6 Rational Exponents and Radicals
0.7 Complex Numbers
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 1  EQUATIONS AND INEQUALITIES

1.1 Linear Equations
1.2 Applications Involving Linear Equations
1.3 Quadratic Equations
1.4 Other Types of Equations
1.5 Linear Inequalities
1.6 Polynomial and Rational Inequalities
1.7 Absolute Value Equations and Inequalities
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 2  GRAPHS

2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint
2.2 Graphing Equations: Point-Plotting, Intercepts and Symmetry
2.3 Lines
2.4 Circles
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 3  FUNCTIONS AND THEIR GRAPHS

3.1 Functions
3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change
3.3 Graphing Techniques: Transformations
3.4 Operation on Functions and Composition of Functions
3.5 One-to-One Functions and Inverse Functions
3.6 Modeling Functions Using Variation
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 4  POLYNOMIAL AND RATIONAL FUNCTIONS

4.1 Quadratic Functions
4.2 Polynomial Functions of Higher Degree
4.3 Dividing Polynomials: Long Division and Synthetic Division
4.4 The Real Zeros of a Polynomial Function
4.5 Complex Zeros; The Fundamental Theorem of Algebra
4.6 Rational Functions
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 5  EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5.1 Exponential Functions and Their Graphs
5.2 Exponential Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5  Exponential and Logarithmic Models
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 6  TRIGONOMETRIC FUNCTIONS

6.1 Angles, Degrees and Triangles
6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios
6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles
6.4 Definition 2 of Trigonometric Functions: Cartesian Plane
6.5 Trigonometric Functions of Non-Acute Angles
6.6 Radian Measure and Applications
6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach
6.8 Graphs of Sine and Cosine Functions
6.9 Graphs of Other Trigonometric Functions
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 7  ANALYTIC TRIGONOMETRY 

7.1 Basic Trigonometric Identities
7.2 Verifying Trigonometric Identities
7.3 Sum and Difference Identities
7.4 Double-Angle Identities
7.5 Half-Angle Identities
7.6 Product-to-Sum and Sum-to-Product Identities
7.7 Inverse Trigonometric Functions
7.8 Trigonometric Equations
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 8    ADDITIONAL TOPIC IN TRIGONOMETRY

8.1 Oblique Triangles and The Law of Sines
8.2 The Law of Cosines
8.3 Area of a Triangle
8.4 Vectors 
8.5 Dot Product
8.6 Polar (Trigonometric) Form of Complex Numbers
8.7 Products, Quotients, Powers and Roots of Complex Numbers 
8.8 Polar Equations and Graphs
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 9  SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

9.1 Systems of Linear Equations in Two Variables
9.2 Systems of Linear Equations  in Three Variables
9.3 Partial Fractions
9.4 Systems of Linear Inequalities in Two Variables
9.5 The Linear Programming Model
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 10 MATRICES

10.1 Matrices and Systems of Linear Equations 
10.2 Matrix Algebra
10.3 Matrix Equations; The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix and Cramer's Rule
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

CHAPTER 11 ANALYTIC GEOMETRY

11.1 Conic Basics
11.2 The Parabola
11.3 The Ellipse
11.4 The Hyperbola
11.5 Systems of Nonlinear Equations
11.6 Systems of Nonlinear Inequalities
11.7 Rotation of Axes
11.8 Polar Equations of Conics
11.9 Parametric Equations and Graphs
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

 

 

CHAPTER 12 SEQUENCES, SERIES, AND PROBABILITY

12.1 Sequences and Series
12.2 Arithmetic Sequences and Series
12.3 Geometric Sequences and Series
12.4 Mathematical Induction
12.5 Binomial Theorem
12.6 Counting, Permutations, and Combinations
12.7 Probability
 Modeling Your World
 Review
 Review Exercises
 Practice Test
 Cumulative Test

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