Fundamentals of Mathematics 10e
ISBN-13: 9780538497978 / ISBN-10: 0538497971
The FUNDAMENTALS OF MATHEMATICS, Tenth Edition, offers a comprehensive and objectives-based review of all basic mathematics concepts. The author helps learners by addressing three important needs: 1) establishing good study habits and overcoming math anxiety, 2) making the connections between mathematics and their modern, day-to-day activities, and 3) being paced and challenged according to their individual level of understanding.
The clear exposition and the consistency of presentation make learning arithmetic accessible for all. Key concepts presented in section objectives—and further defined within the context of How and Why—provide a strong foundation for learning and lasting comprehension. With a predominant emphasis on problem-solving skills, concepts, and applications based on "real world" data (with some introductory algebra integrated throughout), this book is suitable for individual study or for a variety of course formats: lab, self-paced, lecture, group, or combined formats.
- CHAPTER 6 REORGANIZATION. Based on user and reviewer feedback, Chapter 6, "Percent," has been reorganized and updated. Conversions of fractions, decimals, and percents have been consolidated, and the section on "Applications of Percents" has been reorganized and significantly expanded. Plus, three new sections of applications have been added: "General Applications of Percent and Percent of Increase and Percent of Decrease" (Section 6.6); "Sales Tax, Discount and Commissions" (Section 6.7); and "Simple and Compound Interest as Applied to Savings and on Loans, Credit Card Payments and Balances" (Section 6.8).
- EXAMPLES have been updated in each section for the Example and Warm-Up Sections, keeping the material timely.
- Approximately 30-50% new "Routine (A & B) Exercises" in each section provide greater variety, newer homework sets different from the previous edition, and still provide enough practice of the basic skills.
- REAL-WORLD DATA. The authors have meticulously updated and added new application problems in keeping with the emphasis on real-world data.
- ESTIMATING. The topic of estimating has been simplified and rewritten for all operations and is included in whole numbers and decimals making it easier for students to grasp the concepts.
- SECTION 1.8 has de-emphasized Pictorial Graphs based on reviewer and user feedback in Chapter 1.
- COVERAGE OF CONVERSION TABLES. Located in Chapter 7, the coverage of conversion tables has been standardized to four decimal places, keeping uniformity throughout the chapter.
- Greatest Common Factor (GCF) has been deleted based on reviewer feedback.
- Enhanced WebAssign, used by over one million students at more than 1,100 institutions, allows you to assign, collect, grade, and record homework assignments via the web. This proven and reliable homework system includes thousands of algorithmically generated homework problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more. NEW diagnostic quizzing for each chapter identifies concepts that students still need to master and directs them to the appropriate review material. Students will appreciate the interactive Premium eBook, which offers search, highlighting, and note-taking functionality, as well as links to multimedia resources, all available to students when you choose Enhanced WebAssign. Note that Enhanced WebAssign problems are indicated in the text by the > symbol.
- OBJECTIVES are listed at the beginning of each section and correspond to the sequence of exposition which serve to tie together the "How" and "Why" pedagogy, including highlighted content, the examples and exercises. This provides structure and consistency to students.
- VOCABULARY words that are new to the sections are defined and boxed off for easy reference.
- HOW and WHY segments, corresponding directly to the objectives, explain and demonstrate concepts and skills in a step-by-step format.
- CALCULATOR EXAMPLES, indicated by a calculator icon, demonstrate how a calculator may be used. The use of the calculator, however, is optional.
- CAUTION remarks help to forestall common mistakes.
- GOOD ADVICE FOR STUDYING is included at the beginning of each chapter to help students reduce math anxiety and develop good study habits.
- EXAMPLES, following the presentation of each objective, are paired with a warm-up exercise to assist students in solving the exercise.
- GETTING READY FOR ALGEBRA segments include a description, examples with warm ups, and exercises. Instructors may cover these segments as part of the normal curriculum, assign them to individual students, or omit them without loss of continuity.
- SECTION EXERCISES are categorized to satisfy teaching and learning aims. Exercises for estimation, mental computation, pencil-and-paper computation, applications, and calculator skills are provided. In addition, opportunities for students to challenge their abilities, master communications skills, and participate in group problem solving are included.
- STATE YOUR UNDERSTANDING are exercises that require a written response, usually no more than two or three sentences and can be kept as a journal by the student. These exercises help reinforce student understanding and comprehension
- CHALLENGE EXERCISES stretch the content and are more demanding computationally and conceptually.
- MAINTAIN YOUR SKILLS exercises continually reinforce mastery of skills and concepts from previous sections. Most of these sections review topics that will be helpful as the student moves on to the material of the following section.
- GROUP WORK exercises and GROUP PROJECTS provide opportunities for small groups of students to solve problems and create reports. While use of GROUP ACTIVITY exercises is optional, their use encourages cooperative learning.
- CHAPTER TRUE-FALSE CONCEPT REVIEW exercises require students to judge whether a statement is true or false, and, if false, to rewrite the sentence to make it true. Students evaluate their understanding of concepts and also gain experience using the vocabulary of mathematics.
- CHAPTER TEST exercises end each chapter. Written to imitate a 50-minute exam, each CHAPTER TEST covers the entire chapter content. Students can use the CHAPTER TEST as a self-test before the classroom test.
- END OF CHAPTER MATERIAL includes several features. The CHAPTER PROJECT is a group project that can be assigned as an out-of-class exercise. KEY CONCEPTS list the important concepts covered in the chapter, by section, along with examples. REVIEW EXERCISES provide 6–10 exercises per chapter section for students to review prior to demonstrating mastery of the topics via an exam.
1. WHOLE NUMBERS.
Whole Numbers and Tables: Writing, Rounding, and Inequalities. Adding and Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers. Whole-Number Exponents and Powers of 10. Order of Operations. Average, Median, and Mode. Drawing and Interpreting Graphs.
2. PRIMES AND MULTIPLES.
Divisibility Tests. Multiples. Divisors and Factors. Primes and Composites. Prime Factorization. Least Common Multiple.
3. FRACTIONS AND MIXED NUMBERS.
Proper and Improper Fractions; Mixed Numbers. Simplifying Fractions. Multiplying and Dividing Fractions. Multiplying and Dividing Mixed Numbers. Building Fractions; Listing in Order; Inequalities. Adding Fractions. Adding Mixed Numbers. Subtracting Fractions. Subtracting Mixed Numbers. Order of Operations; Average.
CUMULATIVE REVIEW CHAPTERS 1–3.
Decimals: Reading, Writing, and Rounding. Changing Decimals to Fractions; Listing in Order. Adding and Subtracting Decimals. Multiplying Decimals. Multiplying and Dividing by Powers of 10; Scientific Notation. Dividing Decimals; Average, Median, and Mode. Changing Fractions to Decimals. Order of Operations; Estimating.
5. RATIO AND PROPORTION.
Ratio and Rate. Solving Proportions. Applications of Proportions.
CUMULATIVE REVIEW CHAPTERS 1–5.
The Meaning of Percent. Changing Decimals to Percents and Percents to Decimals. Changing Fractions to Percents and Percents to Fractions. Fractions, Decimals, Percents: A Review. Solving Percent Problems. Applications of Percents. Sales Tax, Discounts, and Commissions. Interest on Loans.
7. MEASUREMENT AND GEOMETRY.
Measuring Length. Measuring Capacity, Weight, and Temperature. Perimeter. Area. Volume. Square Roots and the Pythagorean Theorem.
CUMULATIVE REVIEW CHAPTERS 1–7.
8. ALGEBRA PREVIEW; SIGNED NUMBERS.
Opposites and Absolute Value. Adding Signed Numbers. Subtracting Signed Numbers. Multiplying Signed Numbers. Dividing Signed Numbers. Order of Operations: A Review. Solving Equations.
APPENDIX A Calculators.
APPENDIX B Prime Factors of Numbers 1 through 100.
APPENDIX C Squares and Square Roots (0 to 99).
APPENDIX D Compound Interest Table (Factors).
MIDTERM EXAMINATION Chapters 1–4 .
FINAL EXAMINATION Chapters 1–8.
INDEX OF APPLICATIONS.
- NEW! "Classroom Activities" at the end of each chapter, many of which are used by the authors in their own classes, replace the "Group Work" problems in each section. These activities (2 per chapter) are designed to be solved in a group and offers students an opportunity to apply several of their math skills to real-life topics. They will practice their critical thinking and problem-solving skills and also exercise their verbal and written communication skills.
- NEW examples appear in each section''s "Examples and Warm-Ups," placing examples and related exercises side by side so students can follow their answers step by step alongside the examples.
- NEW! Approximately 200 added and updated application problems offer greater variety.
- NEW! Twenty brand-new classroom activities provide increased opportunities for students to develop their problem-solving skills. Additionally, 35% of the basic exercises have been revised providing increased variety.
- NEW! The topic of compound interest has been rewritten and simplified to enhance student comprehension, and a new emphasis on credit cards in Chapter 6 helps students make the connections between math concepts and the important everyday activities related to consumer credit.
- The "Good Advice for Studying" features have been completely re-written and re-organized as a checklist to help advise students focus on best practices to improve their math skills and become better math students. They address such topics as time management, test performance and homework techniques. An index is included to help students locate a particular "good advice".
James Van Dyke
James Van Dyke has been an instructor of mathematics for over 30 years, teaching courses at both the high school and college levels. He is the co-author of eight different mathematics textbooks, including Fundamentals of Mathematics, published by Cengage Learning.
James Rogers has been teaching high school and college-level mathematics courses for more than 30 years. Though retired, he currently teaches part-time at Portland Community College. He is the co-author of nine mathematics textbooks, including Fundamentals of Mathematics, published by Cengage Learning.
Hollis Adams teaches mathematics at Portland Community College, a position she has been in for nearly 20 years. She is the co-author of two mathematics textbooks, including Fundamentals of Mathematics, published by Cengage Learning.