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Experiencing Introductory & Intermediate Algebra Through Functions and Graphs

Autor JoAnne Thomasson, Bob Pesut Tracey Hoy
en Limba Engleză Hardback – 28 feb 2006
Intended for a 2-semester sequence ofIntroductory and Intermediate Algebra where students get a solid foundation in algebra with early and frequent exposure to functions and an empasis onmodelingwithfull integration of the graphing calculator. The goal is to prepare them for success in College Algebra or their next math course."
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Specificații

ISBN-13: 9780132215176
ISBN-10: 0132215179
Pagini: 999
Dimensiuni: 219 x 281 x 41 mm
Greutate: 2.51 kg
Ediția:3Nouă
Editura: Prentice Hall
Locul publicării:Upper Saddle River, United States

Descriere

Intended for a 2-semester sequence of Introductory and Intermediate Algebra where students get a solid foundation in algebra with early and frequent exposure to functions and an empasis on modeling with full integration of the graphing calculator.  The goal is to prepare them for success in College Algebra or their next math course.

Cuprins

Chapter P    Prealgebra Review
P.1       Rational Numbers and the Number Line
P.2       Operations with Rational Numbers
P.3       Exponents, Roots, and Scientific Notation
P.4       Properties of Real Numbers and Order of Operations
P.5       Variables and Algebraic Expressions         
P.6       Simplifying Algebraic Expressions              
P.7       Equations and Inequalities          
P.8       Formulas
Chapter Summary                                Section-by-Section Review
Mixed Review                                       Chapter Test
Chapter Project                          
 
Chapter 1     Relations, Functions, and Graphs
1.1        Tables of Values, Ordered Pairs, and Relations
1.2        Rectangular Coordinate System and Graphing
1.3        Functions and Function Notation
1.4        Analyzing Graphs
Chapter Summary                                Section-by-Section Review
Mixed Review                                       Chapter Test
Chapter Project                                    Chapters P—1 Cumulative Review
 
Chapter 2     Linear Equations in One Variable
2.1        Solving Equations Numerically and Graphically
2.2        Solving Equations by Using Addition and Multiplication
2.3        Solving Equations by Using a Combination of Properties
2.4        Solving Equations or Formulas for a Specified Variable
2.5        More Real-World Models
2.6        Solving Linear Absolute-Value Equations
Chapter Summary                                Section-by-Section Review
Mixed Review                                       Chapter Test
Chapter Project                          
 
Chapter 3     Linear Equations and Functions
3.1        Graphing by Using the Intercept Method
3.2        Slope
3.3        Graphing by Using the Slope-Intercept Method
3.4        Coinciding, Parallel, and Perpendicular Lines
3.5        Writing Linear Equations from Given Data
Chapter Summary                                Section-by-Section Review
Chapter Test                                         Chapter Project           
Chapters P—3 Cumulative Review 
 
Chapter 4     Systems of Linear Equations
4.1        Solving Systems of Two Equations Graphically
4.2        Solving Systems of Two Equations by the Substitution Method
4.3        Solving Systems of Two Equations by the Addition Method
4.4        More Real-World Models
4.5        Solving Systems of Linear Equations in Three Variables
Chapter Summary                                      Section-by-Section Review
Mixed Review                                             Chapter Test
Chapter Project      
 
Chapter 5     Linear Inequalities
5.1        Linear Inequalities in One Variable
5.2        Linear Inequalities in Two Variables
5.3        Systems of Linear Inequalities in Two Variables
Chapter Summary                                       Section-by-Section Review
Mixed Review                                              Chapter Test
Chapter Project                                           Chapters P—5 Cumulative Review
 
Chapter 6     Polynomial Functions
6.1        Introduction to Polynomials
6.2        Polynomial Functions and Their Graphs
6.3        Quadratic Functions and Their Graphs
6.4        Writing Quadratic Functions
Chapter Summary                                     Section-by-Section Review
Mixed Review                                            Chapter Test
Chapter Project      
 
Chapter 7     Exponents and Polynomials
7.1         Operations Involving Nonnegative Exponents
7.2         Operations Involving Negative Exponents
7.3         Polynomial Addition and Subtraction
7.4         Polynomial Multiplication
7.5         Polynomial Division
Chapter Summary                                      Section-by-Section Review
Mixed Review                                            Chapter Test
Chapter Project      
 
Chapter 8     Factoring
8.1        Greatest Common Factors
8.2        Factoring Perfect-Square Trinomials, Differences of Squares, and Sums and Differences of Cubes
8.3        Factoring Trinomials by Using the Trial-and-Error Method
8.4        Factoring Trinomials by Using the ac Method
8.5        General Strategies for Factoring
Chapter Summary                                       Section-by-Section Review
Mixed Review                                              Chapter Test
Chapter Project      
 
Chapter 9     Quadratic and Other Polynomial Equations and Inequalities
9.1        Solving Equations Numerically and Graphically
9.2        Solving Equations Algebraically by Factoring
9.3        Properties of Square Roots
9.4        Solving Quadratic Equations by Completing the Square
9.5        Solving Quadratic Equations by Using the Quadratic Formula
9.6        More Real-World Models
9.7        More Quadratic Functions and Their Graphs
9.8        Solving Quadratic Inequalities
Chapter Summary                                          Section-by-Section Review
Mixed Review                                              Chapter Test
Chapter Project                                           Chapters P—9 Cumulative Review
 
Chapter 10   Rational Expressions, Functions, and Equations
10.1      Rational Expressions and Functions
10.2      Multiplication and Division of Rational Expressions
10.3      Addition and Subtraction of Rational Expressions
10.4      Solving Rational Equations in One Variable
10.5      More Real-World Models
Chapter Summary                                       Section-by-Section Review
Mixed Review                                              Chapter Test
Chapter Project      
 
Chapter 11   Radical Expressions, Functions, and Equations
11.1      Radical Expressions, Functions, and Graphs
11.2      Rational Exponents
11.3      Properties of Rational Exponents
11.4      Properties of Radicals
11.5      Operations on Radicals
11.6      Solving Radical Equations in One Variable
11.7      Equations with Imaginary-Number Solutions
Chapter Summary                                       Section-by-Section Review
Mixed Review                                              Chapter Test
Chapter Project                                           Chapters P—11 Cumulative Review
 
Chapter 12   Exponential and Logarithmic Functions and Equations
12.1      Inverse Functions
12.2      Exponential Functions
12.3      Logarithmic Functions
12.4      Properties of Logarithms
12.5      Solving Exponential and Logarithmic Equations
Chapter Summary                                        Section-by-Section Review
Mixed Review                                              Chapter Test
Chapter Project                                           Chapters P—12 Cumulative Review
 
Photo Credits
 
Answers to Checkup Exercises
 
Answers to Selected Exercises (SE only)
Instructor Answers to Exercises (IE only)
 
Index
 

Caracteristici

Thomasson/Pesut helps students understand the importance of math in the world outside of the classroom by emphasizing modeling and providing early and frequent exposure to functions and the graphing calculator. 
How are you encouraging your students to see the importance of math in the world outside of your classroom?
  •       Thomasson/Pesut wants to help you ensure that students gain a true, solid understanding of what the concepts they are learning represent, and so they provide a balanced discussion of the algebraic, numerical and graphical methods of problem-solving.
  •       NEW! Additional Data Problems have been added and updated throughout the text so that your students are learning math with current, relevant exercises.
  •       To help students learn key concepts within a meaningful context, Thomasson/Pesut frames each section-level concept with an appropriate Real-World Application.
  •       Thomasson/Pesut makes it easy for you to incorporate modeling activities into your course that provide a connection to other disciplines by including Chapter Projects at the end of every chapter.
  •       Thomasson/Pesut also includes a Modeling the Real World objective within each section to present real-life situations where math can be modeled using the concepts discussed in that section.
Do you want your students to understand both how and when to use the graphing calculator?
  •       To help students learn how to use the graphing calculator, Thomasson/Pesut includes Technology Boxes throughout the text.  These Technology Boxes walk a student through a problem using the graphing calculator by showing screens and keystrokes.
  •       To help students learn when to use the graphing calculator, Thomasson/Pesut includes Calculator Exercises at the end of each section.
How are you encouraging students to express mathematical ideas?
  •       At the end of every chapter, Thomasson/Pesut includes Vocabulary Review (NEW!) so students have an opportunity to become more familiar with the use of mathematical terms as they strengthen their verbal skills and every section includes Writing Exercises so students can practice expressing their mathematical ideas through writing.
After you work a problem on the board do you then have your students work problems on their own or in groups?  Why?  Is it to give your students an opportunity to practice what they just learned?
  •       Thomasson/Pesut offers Checkup Exercises for each objective in the textbook so your students can work these exercise to grasp whether or not they understand the material just presented before moving on to a new objective!
How many problems are you working on the board in class? Where do those problems come from?
  •       In a recent Prentice Hall survey, 95% of the Instructors said that they have their students work exercises during every class, and 67% said they have their students’ work 4 or more exercises in every class.  This requires you to have an abundance of classroom examples ready to use!  Thomasson/Pesut provides Checkup Exercises for each objective in the textbook so you can select some of those exercises to work on the board in class.
Is this going to be on the test?  How many times have you been asked that question?!  Is it because your students are worried about studying the right things so there aren’t any surprises?  When are your students studying for the test?  Is it late the night before your in-class exam and does their anxiety build as they realize they aren’t prepared?
  •       To help students prepare better for quizzes and tests, Thomasson/Pesut includes Section-by-Section Reviews following each chapter summary.  These reviews include an example of every major concept presented in the chapter along with review exercises.  These are organized by section so that students can easily refer back to the appropriate section for additional guidance as needed.
  •       Thomasson/Pesut also provides Chapter Reviews (following each Section-by-Section Review) with mixed exercises that require students to identify the problem type and determine what strategy to use in solving it… just as they would need to do on a test or exam!  Cumulative Reviews are also placed in the text at appropriate areas to serve as reviews for midterms and final exams.
  •       Every chapter also contains a Chapter Test that will help familiarize the student with typical test material so they can practice for the real test/exam.  Each Chapter Test begins with Test-Taking Tips to give students suggestions on how to enhance their study skills and relieve their test anxiety.

Caracteristici noi

Contents
Introduction  
Chapter 1  WANs and Routers  
Objectives
Key Terms 
Introduction to Routing Over WANs 
Connecting Routers to WAN Links  
Creating Inexpensive Leased Lines in a Lab   
Overview of Routing Over WANs  
Router Hardware and Software Components  
Router Components and Cabling  
Internal Router Components  
External Router Interfaces  
Router Management Ports  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 2  Introduction to Routers  
Objectives  
Key Terms  
Operating the Cisco IOS CLI   
The Cisco IOS CLI  
Router EXEC Modes  
Router Configuration Modes  
Cisco IOS Fundamentals  
Starting, Configuring, Accessing, and Using a Router  
Initial Booting of a Router  
Creating an Initial Configuration Using Setup Mode  
Accessing a Router  
Using a Router CLI  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 3  Configuring a Router  
Objectives  
Key Terms  
Configuring a Router for Basic Routing  
Reviewing the Configuration Modes  
Configuring Ethernet and Serial Interfaces   
Configuring Hostnames and Passwords  
Examining Operational Status Using show Commands  
Changing the Configuration  
Documenting the Router Configuration  
Configuring Interface Descriptions  
Configuring Login Banners  
Configuring Local Host Tables  
Backing Up the Configuration  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 4  Learning About Other Devices  
Objectives  
Key Terms  
Discovering Neighbors Using CDP  
CDP Protocol Operations  
Information Learned by CDP  
Configuring and Verifying CDP Operations  
Creating a Network Map Using CDP Information  
Additional CDP Verification and Troubleshooting Commands  
Getting Information and Troubleshooting Remote Devices  
Verifying Which Networking Layers Are Working  
Telnet Basics  
Advanced Telnet: Suspending and Switching Between Telnet Connections  
Cisco IOS ping and traceroute Commands  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 5  Managing Cisco IOS Software  
Objectives  
Key Terms  
Router Boot Sequence and Loading Cisco IOS Images  
Choosing the Cisco IOS Image During the Router Boot Sequence  
Troubleshooting and Verifying the Choice of Cisco IOS  
Managing Cisco Router IOS and Configuration Files  
Cisco IOS File System  
Cisco IOS Filenames  
Copying and Managing Cisco IOS Images  
Copying and Managing Cisco IOS Configuration Files  
Recovering from Lost Passwords  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 6  Routing and Routing Protocols  
Objectives  
Key Terms  
Introduction to Static and Connected IP Routes  
Learning Connected Routes  
Static Routes  
Dynamic Routing Overview  
Terminology Related to Routing Protocols  
Routing Protocol Functions  
Interior and Exterior Routing Protocols  
How Routing Protocols Work: Routing Protocol Algorithms  
Routing Protocols Overview  
A Brief Review of IP Routing  
Routing Protocol Features: RIP, OSPF, EIGRP, and BGP   
RIP Configuration  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 7  Distance Vector Routing Protocols  
Objectives  
Additional Topics of Interest  
Key Terms  
Avoiding Loops When Converging Using Distance Vector Routing Protocols  
Review of Distance Vector Operation in a Stable Network   
Route Poisoning  
Problem: Counting to Infinity  
Loop-Prevention Features  
Summarizing Loop Avoidance   
Routing Information Protocol  
Configuring RIP Versions 1 and 2  
Other RIP Configuration Options  
RIP Verification and Troubleshooting  
Choosing the Best Route Among the Possible Routes  
Integrating Static Routes with RIP  
Classful and Classless Routing Protocols, Routing, and Addressing  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 8  TCP/IP Suite Error and Control Messages  
Objectives  
Additional Topics of Interest  
Key Terms  
ICMP Echo Messages and the ping Command  
ICMP Unreachable: Notifying Hosts When the Packet Cannot Be Delivered  
A Review of IP Routing  
Type Codes for ICMP Unreachable Messages  
ICMP Unreachable Message Formats and Codes  
ICMP Unreachable Messages When a Router Cannot Fragment a Packet
ICMP TTL Exceeded and Long Routes  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 9  Basic Router Troubleshooting  
Objectives  
Key Terms  
Examining the Routing Table  
IP Routing (Forwarding)  
Filling the IP Routing Table with Routes  
Network Testing Methods and Tips   
Troubleshooting Methods  
Troubleshooting Tips  
Router and Routing Troubleshooting Tips  
Troubleshooting Using the show interfaces Command  
Troubleshooting Layer 1 Using the show controllers Command  
Troubleshooting Using the show cdp Command  
Troubleshooting Using the traceroute Command  
Troubleshooting Using the show ip route and show ip protocols Commands   
Troubleshooting Using the debug Command  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 10  Intermediate TCP/IP  
Objectives  
Key Terms  
TCP and UDP Operation  
Flow Control and Windowing  
Establishing and Terminating TCP Connections  
Denial-of-Service Attacks and SYN Floods  
TCP Error Recovery (Reliability)  
Segmentation, Reassembly, and In-Order Delivery  
Comparing TCP and UDP   
Operation of Transport Layer Ports  
Connecting to Servers: Well-Known Ports  
Comparing Well-Known, Dynamic, and Registered Ports  
Comparing MAC Addresses, IP Addresses, and Port Numbers  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Chapter 11  Access Control Lists  
Objectives  
Additional Topics of Interest  
Key Terms  
Access Control List Fundamentals  
ACL Concepts  
ACL Configuration Basics  
Configuration Considerations  
Matching a Range of IP Addresses Using a Wildcard Mask  
Verifying ACLs  
Access Control List Configuration  
Configuring Numbered Standard ACLs  
Configuring Numbered Extended ACLs  
Named IP ACLs  
Locating ACLs  
Summary  
Check Your Understanding  
Challenge Questions and Activities  
 
Appendix A  
Appendix B  
Glossary  
Index