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by Alan S. Tussy and R. David Gustafson

Cover type: PaperbackEdition: 3RD 07

Copyright: 2007

Publisher: Brooks/Cole Publishing Co.

Published: 2007

International: No

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The fundamental goal in Tussy and Gustafson's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills. Also students planning to take an introductory algebra course in the future can use this text to build the mathematical foundation they will need.

Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving, and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts, and study skills information designed to give students the best chance to succeed in the course. Additionally, the text's widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write, and communicate mathematical ideas.

**New to the Edition **

- Check Your Knowledge: Pretests, situated at the beginning of every chapter, have been added to this edition as a way to gauge a student's knowledge base for the upcoming chapter. An instructor may assign the pretest to see how well prepared their students are to understanding the chapter; thereby, allowing the instructor to teach accordingly to their students' abilities from the results of the pretest. Students may also take the pretest by themselves and check their answers at the back of the book, which gives them the opportunity to identify what they already know and on what concepts they need to concentrate.
- Study Skills Workshop: At the beginning of each chapter is a one-page study skills guide. This complete mini-course in math study skills provides extra help for developmental students who may have weak study skills, as well as additional assistance and direction for any student. These workshops provide a guide for students to successfully pass the course. For example, students learn how to use a calendar to schedule study times, how to take organized notes, best practices for study groups, and how to effectively study for tests. This helpful reference can be used in the classroom or assigned as homework and is sequenced to match the needs of students as they move through the semester.
- Think It Through: Each chapter contains either one or two problems that make the connection between mathematics and student life. These problems are student-relevant and require mathematics skills from the chapter to be applied to a real-life situation. Topics include tuition costs, statistics about college life and many more topics directly connected to the student experience.
- New Chapter Openers with TLE Labs: TLE (The Learning Equation) is interactive courseware that uses a guided inquiry approach to teaching developmental math concepts. Each chapter opens with a lab that has students construct their own understanding of the concept to build their problem-solving skills. Each lab addresses a real-world application, with the instruction progressing the student through the concepts and skills necessary for solving the problem. TLE enhances the learning process and is perfect for any instructor wanting to teach via a hybrid course.
- ThomsonNOW with HOMEWORK FUNCTIONALITY. Assigned from the instructor, the enhanced iLrn functionality provides direct tutorial assistance to students solving specified questions pulled from the textbook's Problem Sets. This effective and beneficial assistance gives students opportunity to try similar, algorithmically-generated problems, detailed tutorial help, the ability to solve the problem in steps and helpful hints in solving the problem.
- iLrn/MathNOW a personalized online learning companion that helps students gauge their unique study needs and makes the most of their study time by building focused personalized learning plans that reinforce key concepts. Completely tailored to the Tussy/Gustafson text, this new resource will help your students diagnose their concept weaknesses and focus their studies to make their efforts efficient and effective. Pre-Tests give students an initial assessment of their knowledge. Personalized Learning Plans, based upon the students' performance on the pre-test quiz, outline key learning needs and organize materials specific to those needs. Post-Tests assess student mastery of core chapter concepts; results can be emailed to the instructor!

**Features **

- STUDY SETS are found at the end of every section and feature a unique organization, tailored to improve students' ability to read, write, and communicate mathematical ideas; thereby, approaching topics from a variety of perspectives. Each comprehensive STUDY SET is divided into six parts: VOCABULARY, CONCEPTS, NOTATION, PRACTICE, APPLICATIONS, and REVIEW.
- VOCABULARY, NOTATION, and WRITING problems help students improve their ability to read, write, and communicate mathematical ideas.
- The CONCEPT problems section in the STUDY SETS reinforces major ideas through exploration and foster independent thinking and the ability to interpret graphs and data.
- PRACTICE problems in the STUDY SETS provide the necessary drill for mastery while the APPLICATIONS provide opportunities for students to deal with real-life situations. Each STUDY SET concludes with a REVIEW section that consists of problems randomly selected from previous sections.
- SELF CHECK problems, adjacent to most worked examples, reinforce concepts and build confidence. The answer to each Self Check is printed adjacent to the problem to give students instant feedback.
- The KEY CONCEPT section is a one-page review found at the end of each chapter that reinforces important concepts.
- REAL-LIFE APPLICATIONS are presented from a number of disciplines, including science, business, economics, manufacturing, entertainment, history, art, music, and mathematics.
- ACCENT ON TECHNOLOGY sections introduce keystrokes and show how scientific calculators can be used to solve application problems, for instructors who wish to integrate calculators into their course.
- CUMULATIVE REVIEW EXERCISES at the end of Chapters 2, 4, 6, 8 and 10 help students retain what they have learned in prior chapters.

1. WHOLE NUMBERS

An Introduction to the Whole Numbers

Adding Whole Numbers

Subtracting Whole Numbers

Multiplying Whole Numbers. Dividing Whole Numbers

Estimation

Prime Factors and Exponents

Order of Operations

Key Concept: Order of Operations.

2. THE INTEGERS

An Introduction to the Integers

Addition of Integers

Subtraction of Integers

Multiplication of Integers. Order of Operations and Estimation

Key Concept: Signed Numbers

3. FRACTIONS AND MIXED NUMBERS

The Fundamental Property of Fractions

Multiplying Fractions

Dividing Fractions

Adding and Subtracting Fractions. LCM and GCF

Multiplying and Dividing Mixed Numbers

Adding and Subtracting Mixed Numbers

Order of Operations and Complex Fractions

Key Concept: The Fundamental Property of Fractions

4. DECIMALS

An Introduction to Decimals

Addition and Subtraction with Decimals

Multiplication with Decimals

Division with Decimals

Square Roots

Key Concept: The Real Numbers

5. PERCENT

Percents, Decimals, and Fractions

Solving Percent Problems

Applications of Percents

Interest

Key Concept: Percent

6. RATIO, PROPORTION, AND MEASUREMENT

Ratio

Proportions

American Units of Measurement

Metric Units of measurement

Converting Between American and Metric Units

Key Concept: Proportions

7. DESCRIPTIVE STATISTICS

Reading Graphs and Tables

Mean, Median, and Mode

Key Concept: The Mean, Median, and Mode

8. An INTRODUCTION TO ALGEBRA

Solving Equations by Addition and Subtraction

Solving Equations by Division and Multiplication

Algebraic Expressions and Formulas

Simplifying Algebraic Expressions and the Distributive Property

Combining Like Terms

Simplifying Expressions to Solve Equations

Exponents

Key Concept: Variables

9. INTRODUCTION TO GEOMETRY

Some Basic Definitions

Parallel and Perpendicular Lines

Polygons

Properties of Triangles

Perimeters and Areas of Polygons

Circles

Surface Area and Volume

Key Concept: Formulas

Appendix 1: Polynomials

Appendix 2: Inductive and Deductive Reasoning

Appendix 3: Roots and Powers

Appendix 4: Answers to Selected Exercises

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Summary

The fundamental goal in Tussy and Gustafson's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills. Also students planning to take an introductory algebra course in the future can use this text to build the mathematical foundation they will need.

Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving, and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts, and study skills information designed to give students the best chance to succeed in the course. Additionally, the text's widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write, and communicate mathematical ideas.

**New to the Edition **

- Check Your Knowledge: Pretests, situated at the beginning of every chapter, have been added to this edition as a way to gauge a student's knowledge base for the upcoming chapter. An instructor may assign the pretest to see how well prepared their students are to understanding the chapter; thereby, allowing the instructor to teach accordingly to their students' abilities from the results of the pretest. Students may also take the pretest by themselves and check their answers at the back of the book, which gives them the opportunity to identify what they already know and on what concepts they need to concentrate.
- Study Skills Workshop: At the beginning of each chapter is a one-page study skills guide. This complete mini-course in math study skills provides extra help for developmental students who may have weak study skills, as well as additional assistance and direction for any student. These workshops provide a guide for students to successfully pass the course. For example, students learn how to use a calendar to schedule study times, how to take organized notes, best practices for study groups, and how to effectively study for tests. This helpful reference can be used in the classroom or assigned as homework and is sequenced to match the needs of students as they move through the semester.
- Think It Through: Each chapter contains either one or two problems that make the connection between mathematics and student life. These problems are student-relevant and require mathematics skills from the chapter to be applied to a real-life situation. Topics include tuition costs, statistics about college life and many more topics directly connected to the student experience.
- New Chapter Openers with TLE Labs: TLE (The Learning Equation) is interactive courseware that uses a guided inquiry approach to teaching developmental math concepts. Each chapter opens with a lab that has students construct their own understanding of the concept to build their problem-solving skills. Each lab addresses a real-world application, with the instruction progressing the student through the concepts and skills necessary for solving the problem. TLE enhances the learning process and is perfect for any instructor wanting to teach via a hybrid course.
- ThomsonNOW with HOMEWORK FUNCTIONALITY. Assigned from the instructor, the enhanced iLrn functionality provides direct tutorial assistance to students solving specified questions pulled from the textbook's Problem Sets. This effective and beneficial assistance gives students opportunity to try similar, algorithmically-generated problems, detailed tutorial help, the ability to solve the problem in steps and helpful hints in solving the problem.
- iLrn/MathNOW a personalized online learning companion that helps students gauge their unique study needs and makes the most of their study time by building focused personalized learning plans that reinforce key concepts. Completely tailored to the Tussy/Gustafson text, this new resource will help your students diagnose their concept weaknesses and focus their studies to make their efforts efficient and effective. Pre-Tests give students an initial assessment of their knowledge. Personalized Learning Plans, based upon the students' performance on the pre-test quiz, outline key learning needs and organize materials specific to those needs. Post-Tests assess student mastery of core chapter concepts; results can be emailed to the instructor!

**Features **

- STUDY SETS are found at the end of every section and feature a unique organization, tailored to improve students' ability to read, write, and communicate mathematical ideas; thereby, approaching topics from a variety of perspectives. Each comprehensive STUDY SET is divided into six parts: VOCABULARY, CONCEPTS, NOTATION, PRACTICE, APPLICATIONS, and REVIEW.
- VOCABULARY, NOTATION, and WRITING problems help students improve their ability to read, write, and communicate mathematical ideas.
- The CONCEPT problems section in the STUDY SETS reinforces major ideas through exploration and foster independent thinking and the ability to interpret graphs and data.
- PRACTICE problems in the STUDY SETS provide the necessary drill for mastery while the APPLICATIONS provide opportunities for students to deal with real-life situations. Each STUDY SET concludes with a REVIEW section that consists of problems randomly selected from previous sections.
- SELF CHECK problems, adjacent to most worked examples, reinforce concepts and build confidence. The answer to each Self Check is printed adjacent to the problem to give students instant feedback.
- The KEY CONCEPT section is a one-page review found at the end of each chapter that reinforces important concepts.
- REAL-LIFE APPLICATIONS are presented from a number of disciplines, including science, business, economics, manufacturing, entertainment, history, art, music, and mathematics.
- ACCENT ON TECHNOLOGY sections introduce keystrokes and show how scientific calculators can be used to solve application problems, for instructors who wish to integrate calculators into their course.
- CUMULATIVE REVIEW EXERCISES at the end of Chapters 2, 4, 6, 8 and 10 help students retain what they have learned in prior chapters.

Table of Contents

1. WHOLE NUMBERS

An Introduction to the Whole Numbers

Adding Whole Numbers

Subtracting Whole Numbers

Multiplying Whole Numbers. Dividing Whole Numbers

Estimation

Prime Factors and Exponents

Order of Operations

Key Concept: Order of Operations.

2. THE INTEGERS

An Introduction to the Integers

Addition of Integers

Subtraction of Integers

Multiplication of Integers. Order of Operations and Estimation

Key Concept: Signed Numbers

3. FRACTIONS AND MIXED NUMBERS

The Fundamental Property of Fractions

Multiplying Fractions

Dividing Fractions

Adding and Subtracting Fractions. LCM and GCF

Multiplying and Dividing Mixed Numbers

Adding and Subtracting Mixed Numbers

Order of Operations and Complex Fractions

Key Concept: The Fundamental Property of Fractions

4. DECIMALS

An Introduction to Decimals

Addition and Subtraction with Decimals

Multiplication with Decimals

Division with Decimals

Square Roots

Key Concept: The Real Numbers

5. PERCENT

Percents, Decimals, and Fractions

Solving Percent Problems

Applications of Percents

Interest

Key Concept: Percent

6. RATIO, PROPORTION, AND MEASUREMENT

Ratio

Proportions

American Units of Measurement

Metric Units of measurement

Converting Between American and Metric Units

Key Concept: Proportions

7. DESCRIPTIVE STATISTICS

Reading Graphs and Tables

Mean, Median, and Mode

Key Concept: The Mean, Median, and Mode

8. An INTRODUCTION TO ALGEBRA

Solving Equations by Addition and Subtraction

Solving Equations by Division and Multiplication

Algebraic Expressions and Formulas

Simplifying Algebraic Expressions and the Distributive Property

Combining Like Terms

Simplifying Expressions to Solve Equations

Exponents

Key Concept: Variables

9. INTRODUCTION TO GEOMETRY

Some Basic Definitions

Parallel and Perpendicular Lines

Polygons

Properties of Triangles

Perimeters and Areas of Polygons

Circles

Surface Area and Volume

Key Concept: Formulas

Appendix 1: Polynomials

Appendix 2: Inductive and Deductive Reasoning

Appendix 3: Roots and Powers

Appendix 4: Answers to Selected Exercises

Publisher Info

Publisher: Brooks/Cole Publishing Co.

Published: 2007

International: No

Published: 2007

International: No

The fundamental goal in Tussy and Gustafson's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills. Also students planning to take an introductory algebra course in the future can use this text to build the mathematical foundation they will need.

Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving, and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts, and study skills information designed to give students the best chance to succeed in the course. Additionally, the text's widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write, and communicate mathematical ideas.

**New to the Edition **

- Check Your Knowledge: Pretests, situated at the beginning of every chapter, have been added to this edition as a way to gauge a student's knowledge base for the upcoming chapter. An instructor may assign the pretest to see how well prepared their students are to understanding the chapter; thereby, allowing the instructor to teach accordingly to their students' abilities from the results of the pretest. Students may also take the pretest by themselves and check their answers at the back of the book, which gives them the opportunity to identify what they already know and on what concepts they need to concentrate.
- Study Skills Workshop: At the beginning of each chapter is a one-page study skills guide. This complete mini-course in math study skills provides extra help for developmental students who may have weak study skills, as well as additional assistance and direction for any student. These workshops provide a guide for students to successfully pass the course. For example, students learn how to use a calendar to schedule study times, how to take organized notes, best practices for study groups, and how to effectively study for tests. This helpful reference can be used in the classroom or assigned as homework and is sequenced to match the needs of students as they move through the semester.
- Think It Through: Each chapter contains either one or two problems that make the connection between mathematics and student life. These problems are student-relevant and require mathematics skills from the chapter to be applied to a real-life situation. Topics include tuition costs, statistics about college life and many more topics directly connected to the student experience.
- New Chapter Openers with TLE Labs: TLE (The Learning Equation) is interactive courseware that uses a guided inquiry approach to teaching developmental math concepts. Each chapter opens with a lab that has students construct their own understanding of the concept to build their problem-solving skills. Each lab addresses a real-world application, with the instruction progressing the student through the concepts and skills necessary for solving the problem. TLE enhances the learning process and is perfect for any instructor wanting to teach via a hybrid course.
- ThomsonNOW with HOMEWORK FUNCTIONALITY. Assigned from the instructor, the enhanced iLrn functionality provides direct tutorial assistance to students solving specified questions pulled from the textbook's Problem Sets. This effective and beneficial assistance gives students opportunity to try similar, algorithmically-generated problems, detailed tutorial help, the ability to solve the problem in steps and helpful hints in solving the problem.
- iLrn/MathNOW a personalized online learning companion that helps students gauge their unique study needs and makes the most of their study time by building focused personalized learning plans that reinforce key concepts. Completely tailored to the Tussy/Gustafson text, this new resource will help your students diagnose their concept weaknesses and focus their studies to make their efforts efficient and effective. Pre-Tests give students an initial assessment of their knowledge. Personalized Learning Plans, based upon the students' performance on the pre-test quiz, outline key learning needs and organize materials specific to those needs. Post-Tests assess student mastery of core chapter concepts; results can be emailed to the instructor!

**Features **

- STUDY SETS are found at the end of every section and feature a unique organization, tailored to improve students' ability to read, write, and communicate mathematical ideas; thereby, approaching topics from a variety of perspectives. Each comprehensive STUDY SET is divided into six parts: VOCABULARY, CONCEPTS, NOTATION, PRACTICE, APPLICATIONS, and REVIEW.
- VOCABULARY, NOTATION, and WRITING problems help students improve their ability to read, write, and communicate mathematical ideas.
- The CONCEPT problems section in the STUDY SETS reinforces major ideas through exploration and foster independent thinking and the ability to interpret graphs and data.
- PRACTICE problems in the STUDY SETS provide the necessary drill for mastery while the APPLICATIONS provide opportunities for students to deal with real-life situations. Each STUDY SET concludes with a REVIEW section that consists of problems randomly selected from previous sections.
- SELF CHECK problems, adjacent to most worked examples, reinforce concepts and build confidence. The answer to each Self Check is printed adjacent to the problem to give students instant feedback.
- The KEY CONCEPT section is a one-page review found at the end of each chapter that reinforces important concepts.
- REAL-LIFE APPLICATIONS are presented from a number of disciplines, including science, business, economics, manufacturing, entertainment, history, art, music, and mathematics.
- ACCENT ON TECHNOLOGY sections introduce keystrokes and show how scientific calculators can be used to solve application problems, for instructors who wish to integrate calculators into their course.
- CUMULATIVE REVIEW EXERCISES at the end of Chapters 2, 4, 6, 8 and 10 help students retain what they have learned in prior chapters.

1. WHOLE NUMBERS

An Introduction to the Whole Numbers

Adding Whole Numbers

Subtracting Whole Numbers

Multiplying Whole Numbers. Dividing Whole Numbers

Estimation

Prime Factors and Exponents

Order of Operations

Key Concept: Order of Operations.

2. THE INTEGERS

An Introduction to the Integers

Addition of Integers

Subtraction of Integers

Multiplication of Integers. Order of Operations and Estimation

Key Concept: Signed Numbers

3. FRACTIONS AND MIXED NUMBERS

The Fundamental Property of Fractions

Multiplying Fractions

Dividing Fractions

Adding and Subtracting Fractions. LCM and GCF

Multiplying and Dividing Mixed Numbers

Adding and Subtracting Mixed Numbers

Order of Operations and Complex Fractions

Key Concept: The Fundamental Property of Fractions

4. DECIMALS

An Introduction to Decimals

Addition and Subtraction with Decimals

Multiplication with Decimals

Division with Decimals

Square Roots

Key Concept: The Real Numbers

5. PERCENT

Percents, Decimals, and Fractions

Solving Percent Problems

Applications of Percents

Interest

Key Concept: Percent

6. RATIO, PROPORTION, AND MEASUREMENT

Ratio

Proportions

American Units of Measurement

Metric Units of measurement

Converting Between American and Metric Units

Key Concept: Proportions

7. DESCRIPTIVE STATISTICS

Reading Graphs and Tables

Mean, Median, and Mode

Key Concept: The Mean, Median, and Mode

8. An INTRODUCTION TO ALGEBRA

Solving Equations by Addition and Subtraction

Solving Equations by Division and Multiplication

Algebraic Expressions and Formulas

Simplifying Algebraic Expressions and the Distributive Property

Combining Like Terms

Simplifying Expressions to Solve Equations

Exponents

Key Concept: Variables

9. INTRODUCTION TO GEOMETRY

Some Basic Definitions

Parallel and Perpendicular Lines

Polygons

Properties of Triangles

Perimeters and Areas of Polygons

Circles

Surface Area and Volume

Key Concept: Formulas

Appendix 1: Polynomials

Appendix 2: Inductive and Deductive Reasoning

Appendix 3: Roots and Powers

Appendix 4: Answers to Selected Exercises