Algebra and Trigonometry / Edition 2

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Overview

The third edition of Cynthia Young’s Algebra & 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, single 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. In this edition, Young continues her tradition of fostering a love for succeeding in mathematics by introducing inquiry-based learning projects, providing learners an opportunity to master the material with more freedom while reinforcing mathematical skills and intuition.

The seamless integration of Cynthia Young’s Algebra & 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.

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Product Details

  • ISBN-13: 9780470222737
  • Publisher: Wiley
  • Publication date: 2/24/2009
  • Edition description: New
  • Edition number: 2
  • Pages: 1344
  • Product dimensions: 8.30 (w) x 10.10 (h) x 2.00 (d)

Meet the Author

Cynthia Young received her BA in Math Education from UNC in 1990, has two masters, one in Mathematical Sciences from UCF in 1993 and a second in Electrical Engineering from the University of Washington in 1997. Finally, she received a PhD in Applied Mathematics from the University of Washington in 1996. She is already a tenured professor at UCF and is very actively involved in the supervision of UCF's graduate and undergraduate research assistants. Before becoming an award-winning Associate Professor at UCF, Cynthia taught High School. Cynthia received numerous grants and was named the principal investigator on six military and academic research projects. She has been an administrator/advisor to the Florida Space Institute at the Kennedy Space Center since 1998. Cynthia is a veteran presenter at conferences and conventions and has published over a dozen journal articles. In addition, she has been a contributor to several texts, including a College Algebra workbook for McGraw-Hill. Lastly, she edited the Marcel Decker's Optical Engineering Encyclopedia.
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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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  • Posted April 15, 2012

    Very good textbook

    I am using this edition for my Analysis of Functions class in high school and I love it ! The sequence is good -- it builds the foundation for each succeeding chapter. I like that fact that after doing one chapter, students understand that each section builds the preparation needed for the next and it gives more meaning to their note-taking and skills development. I highly recommend this textbook for courses after Algebra 2.

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