Intermediate Algebra

 Alan S. Tussy e R. David Gustafson

 Cengage Learning | 2012 - 5 ª edição | 1046 páginas | pdf | 21 Mb

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4.ª ediçâo - 2008

Algebra can be like a foreign language, but INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.

Contents

1. A REVIEW OF BASIC ALGEBRA.
The Language of Algebra. The Real Numbers. Operations with Real Numbers. Simplifying Algebraic Expressions Using Properties of Real Numbers. Solving Linear Equations Using Properties of Equality. Solving Formulas; Geometry. Using Equations to Solve Problems. More about Problem Solving. Chapter Summary and Review. Chapter Test. Group Project.
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
Graphs. Graphing Linear Equations in Two Variables. Rate of Change and the Slope of a Line. Writing Equations of Lines. An Introduction to Functions. Graphs of Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
3. SYSTEMS OF EQUATIONS.
Solving Systems of Equations by Graphing. Solving Systems of Equations Algebraically. Solving Systems of Equation in Three Variables. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Problem Solving Using Systems of Two Equations. Problem Solving Using Systems of Three Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
4. INEQUALITIES.
Solving Linear Inequalities in One Variable. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS.
Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. The Difference of Two Squares; the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
6. RATIONAL EXPRESSIONS AND EQUATIONS.
Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division. Solving Rational Equations. Problem Solving Using Rational Equations. Proportion and Variation. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review
7. RADICAL EXPRESSIONS AND EQUATIONS.
Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Base-e Exponential and Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
10. CONIC SECTIONS; MORE GRAPHING.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project.
11. MISCELLANEOUS TOPICS.
The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
Appendix 1: Roots and Powers.
Appendix 2: Answers to Selected Problems.

Elementary Statistics: Picturing the World

Ron Larson e Betsy Farber

Pearson | 2014 - 6ª edição |705 páginas | rar - pdf |12,4 Mb

link (password : matav)

5.ª edição - 2012

Statistics opens a window to the modern world, and this market-leading text makes it easy to understand! Larson and Farber’s Elementary Statistics: Picturing the World, Sixth Edition, provides stepped out instruction, real-life examples and exercises, and the use of technology to offer the most accessible approach. The authors carefully develop theory through strong pedagogy, and examples show how statistics is used to picture and describe the world. In keeping with the premise that students learn best by doing, it includes more than 210 examples and more than 2300 exercises, to make the concepts of statistics a part of students’ everyday lives.

Contents

PART ONE. DESCRIPTIVE STATISTICS

1. Introduction to Statistics

1.1. An Overview of Statistics

1.2. Data Classification

            Case Study: Rating Television Shows in the

            United States

1.3. Data Collection and Experimental Design

            Activity: Random Numbers

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            History of Statistics-Timeline

            Technology: Using Technology in Statistics

2. Descriptive Statistics

2.1. Frequency Distributions and Their Graphs

2.2. More Graphs and Displays

2.3. Measures of Central Tendency

            Activity: Mean Versus Median

2.4. Measures of Variation

            Activity: Standard Deviation

            Case Study: Business Size

2.5. Measures of Position

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Parking Tickets

            Using Technology to Determine Descriptive

            Statistics

Cumulative Review: Chapters 1 and 2

PART TWO. PROBABILITY & PROBABILITY DISTRIBUTIONS

3. Probability

3.1. Basic Concepts of Probability and Counting

            Activity: Simulating the Stock Market

3.2. Conditional Probability and the Multiplication Rule

3.3. The Addition Rule

            Activity: Simulating the Probability of Rolling a 3 or 4

            Case Study: United States Congress

3.4. Additional Topics in Probability and Counting

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Simulation: Composing Mozart

            Variations with Dice

4. Discrete Probability Distributions

4.1. Probability Distributions

4.2. Binomial Distributions

            Activity: Binomial Distribution

            Case Study: Distribution of Number of Hits in

            Baseball Games

4.3. More Discrete Probability Distributions

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Simulation: Using Poisson

            Distributions as Queuing Models

5. Normal Probability Distributions

5.1. Introduction to Normal Distributions and the Standard Normal Distribution

5.2. Normal Distributions: Finding Probabilities

5.3. Normal Distributions: Finding Values

            Case Study: Birth Rates in America

5.4. Sampling Distributions and the Central Limit Theorem

            Activity: Sampling Distributions

5.5. Normal Approximations to Binomial Distributions

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Simulation: Age Distribution in the

            United States

Cumulative Review: Chapters 3 to 5

PART THREE. STATISTICAL INFERENCE

6. Confidence Intervals

6.1. Confidence Intervals for the Mean (¡ Known)

6.2. Confidence Intervals for the Mean (¡ Unknown)

            Activity: Confidence Intervals for a Mean

            Case Study: Marathon Training

6.3. Confidence Intervals for Population Proportions

            Activity: Confidence Intervals for a Proportion

6.4. Confidence Intervals for Variance and Standard Deviation

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Simulation: Most Admired Polls

            Using Technology to Construct Confidence

            Intervals

7. Hypothesis Testing with One Sample

7.1. Introduction to Hypothesis Testing

7.2. Hypothesis Testing for the Mean (¡ Known)

7.3. Hypothesis Testing for the Mean (¡ Unknown)

            Activity: Hypothesis Test for a Mean

            Case Study: Human Body Temperature: What's

            Normal?

7.4. Hypothesis Testing for Proportions

            Activity: Hypothesis Test for a Proportion

7.5. Hypothesis Testing for Variance and Standard Deviation

A Summary of Hypothesis Testing

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: The Case of the Vanishing Women

            Using Technology to Perform Hypothesis Tests

8. Hypothesis Testing with Two Samples

8.1. Testing the Difference Between Means (Independent Samples, ¡₁ and ¡₂ Known)

8.2. Testing the Difference Between Means (Independent Samples, ¡₁ and ¡₂ Unknown)

8.3. Testing the Difference Between Means (Dependent Samples)

8.4. Testing the Difference Between Proportions

A Summary of Hypothesis Testing

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Tails over Heads

            Using Technology to Perform Two-Sample

            Hypothesis Tests

Cumulative Review: Chapters 6 to 8

PART FOUR. MORE STATISTICAL INFERENCE

9. Correlation and Regression

9.1 Correlation

            Activity: Correlation by Eye

9.2. Linear Regression

            Activity: Regression by Eye

            Case Study: Correlation by Body Measurements

9.3. Measures of Regression and Prediction Intervals

9.4. Multiple Regression

A Summary of Hypothesis Testing

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Nutrients in Breakfast Cereals

10. Chi-Square Tests and the F-Distribution

10.1. Goodness-of-Fit Test

10.2. Independence

            Case Study: Food Safety Survey

10.3. Comparing Two Variances

10.4. Analysis of Variance

            Uses and Abuses

Chapter Summary

Review Exercises

Chapter Quiz

Chapter Test

            Real Statistics-Real Decisions-Putting It All Together

            Technology: Teacher Salaries

Cumulative Review: Chapters 9 and 10

Basic Engineering Mathematics

John Bird

Routledge | 2014 - 6ª edição | 457 páginas | rar - pdf | 3,7 Mb

link (password: matav)

Now in its sixth edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.

John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for introductory level engineering courses.

This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,600 further questions contained within the practice exercises, and biographical information on the 25 famous mathematicians and engineers referenced throughout the book.

Foundation Maths: with MyMathLab

Anthony Croft e Robert Davison 

Prentice-Hall | 2006 - 4ª edição | 523 pages | PDF | 5,19 Mb

link

Foundation Maths has been written for students taking higher or further education courses, who have not specialised in mathematics on post-16 qualifications and need to use mathematical tools in their courses. It is ideally suited for those studying marketing, business studies, management, science, engineering, computer science, social science, geography, combined studies and design. It will be useful for those who lack confidence and need careful, steady guidance in mathematical methods. Even for those whose mathematical expertise is already established, the book will be a helpful revision and reference guide. The style of the book also makes it suitable for self-study or distance learning.

Contents
Preface vii
Guided tour ix
Mathematical symbols xi
1 Arithmetic of whole numbers 1
2 Fractions 14
3 Decimal fractions 26
4 Sets 34
5 Percentage and ratio 46
6 Algebra 54
7 Indices 63
8 Number bases 78
9 Elementary logic 89
10 Simplifying algebraic expressions 100
11 Factorisation 108
12 Algebraic fractions 115
13 Transposing formulae 129
14 Solving equations 135
15 Sequences and series 146
16 Functions 161
17 Graphs of functions 174
18 The straight line 194
19 The exponential function 207
20 The logarithm function 216
21 Angles 234
22 Introduction to trigonometry 244
23 The trigonometrical functions and their graphs 252
24 Trigonometrical identities and equations 265
25 Solution of triangles 277
26 Matrices 294
27 Measurement 300
28 Gradients of curves 316
29 The product and quotient rules of differentiation 333
30 Integration and areas under curves 340
31 Integration by parts 357
32 Functions of more than one variable and partial differentiation 365
33 Tables and charts 382
34 Statistics 399
35 Probability 413
36 Correlation 422
37 Regression 437
Solutions 444
Index 520

Algebra for College Students

Jerome E. Kaufmann e Karen L. Schwitters

Cengage Learning | 2010 - 9ª edição | 831 páginas | rar - pdf | 9,7 Mb

link (password: matav)

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. The text's resource package--anchored by Enhanced WebAssign, an online homework management tool--saves instructors time while also providing additional help and skill-building practice for students outside of class.

CONTENTS
1 Basic Concepts and Properties 1
1.1 Sets, Real Numbers, and Numerical Expressions 2
1.2 Operations with Real Numbers 10
1.3 Properties of Real Numbers and the Use of Exponents 20
1.4 Algebraic Expressions 27
Chapter 1 Summary 36
Chapter 1 Review Problem Set 38
Chapter 1 Test 40
2 Equations, Inequalities, and Problem Solving 41
2.1 Solving First-Degree Equations 42
2.2 Equations Involving Fractional Forms 49
2.3 Equations Involving Decimals and Problem Solving 57
2.4 Formulas 64
2.5 Inequalities 74
2.6 More on Inequalities and Problem Solving 81
2.7 Equations and Inequalities Involving Absolute Value 90
Chapter 2 Summary 97
Chapter 2 Review Problem Set 101
Chapter 2 Test 104
Chapters 1– 2 Cumulative Review Problem Set 105
3 Polynomials 107
3.1 Polynomials: Sums and Differences 108
3.2 Products and Quotients of Monomials 114
3.3 Multiplying Polynomials 119
3.4 Factoring: Greatest Common Factor and Common Binomial Factor 127
3.5 Factoring: Difference of Two Squares and Sum or Difference of Two Cubes 135
3.6 Factoring Trinomials 141
3.7 Equations and Problem Solving 149
Chapter 3 Summary 155
Chapter 3 Review Problem Set 158
Chapter 3 Test 161
4 Rational Expressions 163
4.1 Simplifying Rational Expressions 164
4.2 Multiplying and Dividing Rational Expressions 169
4.3 Adding and Subtracting Rational Expressions 175
4.4 More on Rational Expressions and Complex Fractions 182
4.5 Dividing Polynomials 190
4.6 Fractional Equations 196
4.7 More Fractional Equations and Applications 202
Chapter 4 Summary 211
Chapter 4 Review Problem Set 216
Chapter 4 Test 218
Chapters 1– 4 Cumulative Review Problem Set 219
5 Exponents and Radicals 221
5.1 Using Integers as Exponents 222
5.2 Roots and Radicals 229
5.3 Combining Radicals and Simplifying Radicals That Contain Variables 238
5.4 Products and Quotients Involving Radicals 243
5.5 Equations Involving Radicals 249
5.6 Merging Exponents and Roots 254
5.7 Scientific Notation 259
Chapter 5 Summary 265
Chapter 5 Review Problem Set 269
Chapter 5 Test 271
6 Quadratic Equations and Inequalities 273
6.1 Complex Numbers 274
6.2 Quadratic Equations 281
6.3 Completing the Square 289
6.4 Quadratic Formula 293
6.5 More Quadratic Equations and Applications 300
6.6 Quadratic and Other Nonlinear Inequalities 308
Chapter 6 Summary 314
Chapter 6 Review Problem Set 318
Chapter 6 Test 320
Chapters 1– 6 Cumulative Review Problem Set 321
7 Linear Equations and Inequalities in Two Variables 323
7.1 Rectangular Coordinate System and Linear Equations 324
7.2 Linear Inequalities in Two Variables 337
7.3 Distance and Slope 342
7.4 Determining the Equation of a Line 353
7.5 Graphing Nonlinear Equations 363
Chapter 7 Summary 371
Chapter 7 Review Problem Set 376
Chapter 7 Test 379
8 Functions 381
8.1 Concept of a Function 382
8.2 Linear Functions and Applications 391
8.3 Quadratic Functions 398
8.4 More Quadratic Functions and Applications 407
8.5 Transformations of Some Basic Curves 416
8.6 Combining Functions 425
8.7 Direct and Inverse Variation 432
Chapter 8 Summary 440
Chapter 8 Review Problem Set 447
Chapter 8 Test 449
Chapters 1– 8 Cumulative Review Problem Set 450
9 Polynomial and Rational Functions 453
9.1 Synthetic Division 454
9.2 Remainder and Factor Theorems 458
9.3 Polynomial Equations 463
9.4 Graphing Polynomial Functions 473
9.5 Graphing Rational Functions 483
9.6 More on Graphing Rational Functions 492
Chapter 9 Summary 499
Chapter 9 Review Problem Set 503
Chapter 9 Test 504
10 Exponential and Logarithmic Functions 505
10.1 Exponents and Exponential Functions 506
10.2 Applications of Exponential Functions 513
10.3 Inverse Functions 524
10.4 Logarithms 534
10.5 Logarithmic Functions 542
10.6 Exponential Equations, Logarithmic Equations, and Problem Solving 549
Chapter 10 Summary 559
Chapter 10 Review Problem Set 565
Chapter 10 Test 567
Chapters 1– 10 Cumulative Review Problem Set 568
11 Systems of Equations 571
11.1 Systems of Two Linear Equations in Two Variables 572
11.2 Systems of Three Linear Equations in Three Variables 582
11.3 Matrix Approach to Solving Linear Systems 589
11.4 Determinants 598
11.5 Cramer’s Rule 607
11.6 Partial Fractions (Optional) 613
Chapter 11 Summary 619
Chapter 11 Review Problem Set 623
Chapter 11 Test 625
12 Algebra of Matrices 627
12.1 Algebra of 2 2 Matrices 628
12.2 Multiplicative Inverses 634
12.3 m n Matrices 640
12.4 Systems of Linear Inequalities: Linear Programming 649
Chapter 12 Summary 658
Chapter 12 Review Problem Set 662
Chapter 12 Test 664
Chapters 1 – 12 Cumulative Review Problem Set 665
13 Conic Sections 669
13.1 Circles 670
13.2 Parabolas 676
13.3 Ellipses 684
13.4 Hyperbolas 693
13.5 Systems Involving Nonlinear Equations 702
Chapter 13 Summary 709
Chapter 13 Review Problem Set 714
Chapter 13 Test 715
14 Sequences and Mathematical Induction 717
14.1 Arithmetic Sequences 718
14.2 Geometric Sequences 725
14.3 Another Look at Problem Solving 733
14.4 Mathematical Induction 738
Chapter 14 Summary 744
Chapter 14 Review Problem Set 746
Chapter 14 Test 748
Appendix A Prime Numbers and Operations with Fractions 749
Appendix B Binomial Theorem 757
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix A Problems 761
Index I-1

Forgotten Calculus

Barbara Lee Bleau

Barron's Educational Series | 2001 - 3ª edição | 480 páginas | rar - mobi | 10 Mb

link (password: matav)

Updated and expanded to include the optional use of graphing calculators, this combination textbook and workbook is a good teach-yourself refresher course for men and women who took a calculus course in school, have since forgotten most of what they learned, and now need some practical calculus for business purposes or advanced education. The book is also very useful as a supplementary text for students who are taking calculus and finding it a struggle. Each progressive work unit offers clear instruction and worked-out examples. Special emphasis has been placed on business and economic applications. Topics covered include functions and their graphs, derivatives, optimization problems, exponential and logarithmic functions, integration, and partial derivatives.

Introduction to Probability and Statistics

William Mendenhall, Robert J. Beaver e Barbara M. Beaver

Cengage Learning | 2012 - 14 ª edição | 753 páginas | rar - pdf |12,2 Mb

link (password : matav)

Used by hundreds of thousands of students, INTRODUCTION TO PROBABILITY AND STATISTICS, Fourteenth Edition, blends proven coverage with new innovations to ensure you gain a solid understanding of statistical concepts--and see their relevance to your everyday life. The new edition retains the text's straightforward presentation and traditional outline for descriptive and inferential statistics while incorporating modern technology--including computational software and interactive visual tools--to help you master statistical reasoning and skillfully interpret statistical results. Drawing from decades of classroom teaching experience, the authors clearly illustrate how to apply statistical procedures as they explain how to describe real sets of data, what statistical tests mean in terms of practical application, how to evaluate the validity of the assumptions behind statistical tests, and what to do when statistical assumptions have been violated. Statistics can be an intimidating course, but with this text you will be well prepared. With its thorough explanations, insightful examples, practical exercises, and innovative technology features, this text equips you with a firm foundation in statistical concepts, as well as the tools to apply them to the world around you.

Contents
INTRODUCTION 1
DESCRIBING DATA WITH GRAPHS 7
DESCRIBING DATA WITH NUMERICAL MEASURES 50
DESCRIBING BIVARIATE DATA 94
PROBABILITY AND PROBABILITY DISTRIBUTIONS 123
SEVERAL USEFUL DISCRETE DISTRIBUTIONS 175
THE NORMAL PROBABILITY DISTRIBUTION 209
SAMPLING DISTRIBUTIONS 242
LARGE-SAMPLE ESTIMATION 281
LARGE-SAMPLE TESTS OF HYPOTHESES 324
INFERENCE FROM SMALL SAMPLES 364
THE ANALYSIS OF VARIANCE 425
LINEAR REGRESSION AND CORRELATION 482
MULTIPLE REGRESSION ANALYSIS 530
ANALYSIS OF CATEGORICAL DATA 574
NONPARAMETRIC STATISTICS 606
APPENDIX I 655
DATA SOURCES 688
ANSWERS TO SELECTED EXERCISES 700
INDEX 714

Mathematical Excursions

Richard N. Aufmann, Joanne Lockwood, Richard D. Nation and Daniel K. Clegg

Cengage Learning | 2012 - 3ª edição |1010 páginas | PDF | 25 Mb

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MATHEMATICAL EXCURSIONS, Third Edition, teaches students that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. Students will learn those facets of mathematics that strengthen their quantitative understanding and expand the way they know, perceive, and comprehend their world. We hope you enjoy the journey.

Contents
1. PROBLEM SOLVING. 
Inductive and Deductive Reasoning. Excursion: KenKen Puzzles: An Introduction. Problem Solving with Patterns. Excursion: Polygonal Numbers. Problem-Solving Strategies. Excursion: Routes on a Probability Demonstrator. Chapter 1 Summary. Chapter 1 Review. Chapter 1 Test. 
2. SETS. 
Basic Properties of Sets. Excursion: Fuzzy Sets. Complements, Subsets, and Venn Diagrams. Excursion: Subsets and Complements of Fuzzy Sets. Set Operations. Excursion: Union and Intersection of Fuzzy Sets. Applications of Sets. Excursion: Voting Systems. Infinite Sets. Excursion: Transfinite Arithmetic. Chapter 2 Summary. Chapter 2 Review Exercises. Chapter 2 Test. 
3. LOGIC. 
Logic Statements and Quantifiers. Excursion: Switching Networks. Truth Tables, Equivalent Statements, and Tautologies. Excursion: Switching Networks--Part II. The Conditional and the Biconditional. Excursion: Logic Gates. The Conditional and Related Statements. Excursion: Sheffer's Stroke and the NAND Gate. Symbolic Arguments. Excursion: Fallacies. Arguments and Euler Diagrams. Excursion: Using Logic to Solve Crypterithms. Chapter 3 Summary. Chapter 3 Review Exercises. Chapter 3 Test. 
4. APPORTIONMENT AND VOTING. 
Introduction to Apportionment. Excursion: Apportioning the 1790 House of Representatives. Introduction to Voting. Excursion: Variations of the Borda Count Method. Weighted Voting Systems. Excursion: Blocking Coalitions and the Banzhaf Power Index. Chapter 4 Summary. Chapter 4 Review Exercises. Chapter 4 Test. 
5. THE MATHEMATICS OF GRAPHS. 
Graphs and Euler Circuits. Excursion: Pen-Tracing Puzzles. Weighted Graphs. Excursion: Extending the Greedy Algorithm. Planarity and Euler's Formula. Excursion: The Five Regular Convex Polyhedra. Graph Coloring. Excursion: Modeling Traffic Lights with Graphs. Chapter 5 Summary. Chapter 5 Review Exercises. Chapter 5 Test. 
6. NUMERATION SYSTEMS AND NUMBER THEORY. 
Early Numeration Systems. Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System. Place-Value Systems. Excursion: Subtraction via the Nines Complement and the End-Around Carry. Different Base Systems. Excursion: Information Retrieval via a Binary Search. Arithmetic in Different Bases. Excursion: Subtraction in Base Two via the Ones Complement and the End-Around Carry. Prime Numbers. Excursion: The Distribution of the Primes. Topics from Number Theory. Excursion: A Sum of the Divisors Formula. Chapter 6 Summary. Chapter 6 Review Exercises. Chapter 6 Test. 
7. GEOMETRY. 
Basic Concepts of Euclidean Geometry. Excursion: Preparing a Circle Graph. Perimeter and Area of Plane Figures. Excursion: Perimeter and Area of a Rectangle with Changing Dimensions. Properties of Triangles. Excursion: Topology: A Brief Introduction. Volume and Surface Area. Excursion: Water Displacement. Right Triangle Trigonometry. Excursion: Approximating the Value of Trigonometric Ratios. Non-Euclidean Geometry. Excursion: Finding Geodesics. Fractals. Excursion: The Heighway Dragon Fractal. Chapter 7 Summary. Chapter 7 Review Exercises. Chapter 7 Test. 
8. MATHEMATICAL SYSTEMS. 
Modular Arithmetic. Excursion: Computing the Day of the Week. Applications of Modular Arithmetic. Excursion: Public Key Cryptography. Introduction to Group Theory. Excursion: Wallpaper Groups. Chapter 8 Summary. Chapter 8 Review Exercises. Chapter 8 Test. 
9. APPLICATIONS OF EQUATIONS. 
First-Degree Equations and Formulas. Excursion: Body Mass Index. Rate, Ratio, and Proportion. Excursion: Earned Run Average. Percent. Excursion: Federal Income Tax. Second-Degree Equations. Excursion: The Sum and Product of the Solutions of a Quadratic Equation. Chapter 9 Summary. Chapter 9 Review Exercises. Chapter 9 Test. 
10. APPLICATIONS OF FUNCTIONS. 
Rectangular Coordinates and Functions. Excursion: Dilations of a Geometric Figure. Properties of Linear Functions. Excursion: Negative Velocity. Finding Linear Models. Excursion: A Linear Business Model. Quadratic Functions. Excursion: Reflective Properties of a Parabola. Exponential Functions. Excursion: Chess and Exponential Functions. Logarithmic Functions. Excursion: Benford's Law. Chapter 10 Summary. Chapter 10 Review Exercises. Chapter 10 Test. 
11. THE MATHEMATICS OF FINANCE. 
Simple Interest. Excursion: Day-of-the-Year Table. Compound Interest. Excursion: Consumer Price Index. Credit Cards and Consumer Loans. Excursion: Car Leases. Stocks, Bonds, and Mutual Funds. Excursion: Treasury Bills. Home Ownership. Excursion: Home Ownership Issues. Chapter 11 Summary. Chapter 11 Review Exercises. Chapter 11 Test. 
12. COMBINATORICS AND PROBABILITY. 
The Counting Principle. Excursion: Decision Trees. Permutations and Combinations. Excursion: Choosing Numbers in Keno. Probability and Odds. Excursion: The Value of Pi by Simulation. Addition and Complement Rules. Excursion: Keno Revisited. Conditional Probability. Excursion: Sharing Birthdays. 12.6 Expectation. Excursion: Chuck-a-luck. Chapter 12 Summary. Chapter 12 Review Exercises. Chapter 12 Test. 
13. STATISTICS. 

Measures of Central Tendency. Excursion: Linear Interpolation and Animation. Measures of Dispersion. Excursion: Geometric View of Variance and Standard Deviation. Measures of Relative Position. Excursion: Stem-and-Leaf Diagrams. Normal Distribution. Excursion: Cut-Off Scores. Linear Regression and Correlation. Excursion: An Application of Linear Regression. Chapter 13 Summary. Chapter 13 Review Exercises. Chapter 13 Test.

Beginning and Intermediate Algebra: The Language & Symbolism of Mathematics

 James Hall e Brian Mercer

McGraw-Hill Science/Engineering/Math | 2010 - 3ª edição | 1137 páginas | pdf | 18 Mb 

link (password: matav)

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Beginning and Intermediate Algebra: The Language and Symbolism of Mathematics emphasizes what great mathematicians had identified for generations - mathematics is everywhere! Authors James Hall and Brian Mercer believe active student involvement remains the key to learning algebra. Topics in the text are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book's organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of the "rule of four" or multiple perspectives -- verbal, numerical, algebraic, and graphical -- has proven popular with a broad cross section of students.

A key supplement for the text are the Lecture Guides. This supplement by the authors, with the assistance of Kelly Bails of Parkland College, provides instructors with the framework of day-by-day class activities for each section in the book. Each lecture guide can help instructors make more efficient use of class time and can help keep students focused on active learning. Students who use the lecture guides have the framework of well-organized notes that can be completed with the instructor in class.

Contents

1 Operations with Real Numbers and a Review of Geome

1.1 Preparing for an Algebra Class 

1.2 The Real Number Line 

1.3 Addition of Real Numbers 

1.4 Subtraction of Real Numbers 

1.5 Multiplication of Real Numbers and Natural Number Exponents 

1.6 Division of Real Numbers 

1.7 Order of Operations 

2 Linear Equations and Patterns 

2.1 The Rectangular Coordinate System and Arithmetic Sequences 

2.2 Function Notation and Linear Functions 

2.3 Graphs of Linear Equations in Two Variables 

2.4 Solving Linear Equations in One Variable by Using the Addition-Subtraction Principle 

2.5 Solving Linear Equations in One Variable by Using the Multiplication-Division Principle 

2.6 Using and Rearranging Formulas 

2.7 Proportions and Direct Variation 

2.8 More Applications of Linear Equations 

3 Lines and Systems of Linear Equations in Two Variables 

3.1 Slope of a Line and Applications of Slope 

3.2 Special Forms of Linear Equations in Two Variables 

3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically 

3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method 

3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method 

3.6 More Applications of Linear Systems

Cumulative Review of Chapters 1-3 

4 Linear Inequalities and Systems of Linear Inequalities 

4.1 Solving Linear Inequalities by Using the Addition-Subtraction Principle

4.2 Solving Linear Inequalities by Using the Multiplication-Divison Principle

4.3 Solving Compound Inequalities 

4.4 Solving Absolute Value Equations and Inequalities 

4.5 Graphing Systems of Linear Inequalities in Two Variables 

5 Exponents and Operations with Polynomials 

5.1 Product and Power Rules for Exponents 

5.2 Quotient Rule and Zero Exponents 

5.3 Negative Exponents and Scientific Notation 

5.4 Adding and Subtracting Polynomials 

5.5 Multiplying Polynomials 

5.6 Special Products of Binomials 

5.7 Dividing Polynomials 

Diagonostic Review of Beginning Algebra 

6 Factoring Polynomials 

6.1 An Introduction to Factoring Polynomials

6.2 Factoring Trinomials of the Form x2 + bxy + cy2 

6.3 Factoring Trinomials of the Form ax2 + bxy + cy2 

6.4 Factoring Special Forms 

6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials 

6.6 Solving Equations by Factoring 

7 Solving Quadratic Equations 

8 Functions: Linear, Absolute Value, and Quadratic

8.1 Functions and Representations of Functions 

8.2 Linear and Absolute Value Functions 

8.3 Linear and Quadratic Functions and Curve Fitting 

8.4 Using the Quadratic Formula to find Real Solutions

8.5 The Vertex of a Parabola and Max-Min Applications 

8.6 More Applications of Quadratic Equations 

8.7 Complex Numbers and Solving Quadratic Equations with Complex Solutions 

9 Rational Functions 

9.1 Graphs of Rational Functions and Reducing Rational Expressions 

9.2 Multiplying and Dividing Rational Expressions 

9.3 Adding and Subtracting Rational Expressions 

9.4 Combining Operations and Simplifying Complex Rational Expressions 

9.5 Solving Equations Containing Rational Expressions 

9.6 Inverse and Joint Variation and Other Applications Yielding Equations with Fractions 

Cumulative Review of Chapters 1-8 

10 Square Root and Cube Root Functions and Rational Exponents

10.1 Evaluating Radical Expressions and Graphs of Square Root and Cube Root Functions 

10.2 Adding and Subtracting Radical Expressions 

10.3 Multiplying and Dividing Radical Expressions 

10.4 Solving Equations Containing Radical Expressions 

10.5 Rational Exponents and Radicals 

11 Exponential and Logarithmic Functions 

11.1 Geometric Sequences Graphs of Exponential Functions

11.2 Inverse Functions 

11.3 Logarithmic Functions 

11.4 Evaluating Logarithms 

11.5 Properties of Logarithms 

11.6 Solving Exponential and Logarithmic Equations 

11.7 Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations 

Cumulative Review of Chapters 1-10 

12 A Preview of College Algebra 

12.1 Solving Systems of Linear Equations by Using Augmented Matrices 

12.2 Systems of Linear Equations in Three Variables 

12.3 Horizontal and Vertical Translations of the Graphs of Functions 

12.4 Stretching, Shrinking and Reflecting Graphs of Functions 

12.5 Algebra of Functions 

12.6 Sequences, Series and Summation Notation 

12.7 Conic Sections