Thinking Mathematically, 6th edition
Published by Pearson (January 7, 2014) © 2015
- Robert F. Blitzer Miami Dade College
Title overview
MyMathLab improves results and is designed to work hand-in-hand with the book to offer additional practice and learning aids that improve student learning in measurable ways.
- Three MyMathLab course options are now available:
- The Standard MyMathLab course allows instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
- NEW! A Ready to Go course provides students with all the same great MyMathLab features, but makes it easier for instructors to get started, with pre-made and pre-assigned homework and quizzes.
- NEW! An Integrated Review MyMathLab course option provides embedded review of select developmental topics. Assignments are also pre-assigned in this course, including a Skills Check quiz on prerequisite skills needed at the chapter level. Students who prove mastery can move on to the Thinking Mathematically content, while students who need additional review can remediate using videos and Integrated Review worksheets in the new Learning Guide. This course solution can be used in a co-requisite course model, or simply to help underprepared students master prerequisite skills and concepts.
- More than 3,000 assignable exercises give students the practice they need to master the material.
- Applications questions correlate to Bob Blitzer’s trademark chapter- and section-opening applications, so instructors can be sure that students are using them to learn and think about math.
- NEW! Getting Ready exercises are now available in the Standard and Ready to Go MyMathLab courses. These prerequisite skills questions enable students to refresh forgotten concepts.
- NEW! Concept and Vocabulary Check questions assess students’ understanding of the definitions and concepts presented in each section. These short-answer exercises precede the exercise sets in the text and are assignable in MyMathLab.
- Check Point Videos show instructors working out every Check Point problem in the text to ensure understanding. NEW! Assignable Check Point exercises in MyMathLab correspond to each Check Point video, ensuring that students watched the video and understood the concepts presented.
- NEW! MathTalk Videos are fun, application-based videos that connect the math in Blitzer to the real world. Presented by Andrew Vickers on location in New York and Boston, these instructional videos have a sense of humor while demonstrating how everyday life is full of math applications.
- Chapter Test Prep Videos show students how to work out solutions to the Chapter Tests in the book, and are available in MyMathLab and on YouTube™.
- NEW! Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:
- Math-Reading Connections, including topics such as Using Word Clues and Looking for Patterns.
- Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
- College Success, including topics such as College Transition and Online Learning.
- Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem app
New and updated features
- New to the MyMathLab course:
- Three MyMathLab course options are now available:
- The Standard MyMathLab course allows instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
- NEW! A Ready to Go course provides students with all the same great MyMathLab features, but makes it easier for instructors to get started, with pre-made and pre-assigned homework and quizzes.
- NEW! An Integrated Review MyMathLab course option provides embedded review of select developmental topics. Assignments are also pre-assigned in this course, including a Skills Check quiz on prerequisite skills needed at the chapter level. Students who prove mastery can move on to the Thinking Mathematically content, while students who need additional review can remediate using videos and Integrated Review worksheets in the new Learning Guide. This course solution can be used in a co-requisite course model, or simply to help underprepared students master prerequisite skills and concepts.
- Getting Ready exercises are now available in the Standard and Ready to Go MyMathLab courses. These prerequisite skills questions enable students to refresh forgotten concepts.
- Concept and Vocabulary Check questions assess students’ understanding of the definitions and concepts presented in each section. These short-answer exercises precede the exercise sets in the text and are assignable in MyMathLab.
- MathTalk Videos are fun, application-based videos that connect the math in Blitzer to the real world. Presented by Andrew Vickers on location in New York and Boston, these instructional videos have a sense of humor while demonstrating how everyday life is full of math applications.
- NEW! Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:
- Math-Reading Connections, including topics such as Using Word Clues and Looking for Patterns.
- Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
- College Success, including topics such as College Transition and Online Learning.
- Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.
- Updates to the Applications.
- The latest applications and real-world data are compiled from hundreds of books, magazines, newspapers, almanacs, and online sites. For the Sixth Edition, 366 worked-out examples and application exercises are based on new data.
- Blitzer Bonus enrichment essays appear throughout the text, covering a variety of interesting applications. In this revision, there are more new Blitzer Bonuses than in any previous edition.
- New Learning Tools
- NEW! Brief Reviews summarize math skills that students should have learned previously, but which many still need to review. These appear whenever a skill is first needed, eliminating the need to re-teach.
- NEW! Great Question! margin notes take study tips and present them in the context of student questions. Th
Table of contents
1. Problem Solving and Critical Thinking
1.1 Inductive and Deductive Reasoning
1.2 Estimation, Graphs, and Mathematical Models
1.3 Problem Solving
2. Set Theory
2.1 Basic Set Concepts
2.2 Subsets
2.3 Venn Diagrams and Set Operations
2.4 Set Operations and Venn Diagrams with Three Sets
2.5 Survey Problems
3. Logic
3.1 Statements, Negations, and Quantified Statements
3.2 Compound Statements and Connectives
3.3 Truth Tables for Negation, Conjunction, and Disjunction
3.4 Truth Tables for the Conditional and the Biconditional
3.5 Equivalent Statements and Variations of Conditional Statements
3.6 Negations of Conditional Statements and De Morgan’s Laws
3.7 Arguments and Truth Tables
3.8 Arguments and Euler Diagrams
4. Number Representation and Calculation
4.1 Our Hindu-Arabic System and Early Positional Systems
4.2 Number Bases in Positional Systems
4.3 Computation in Positional Systems
4.4 Looking Back at Early Numeration Systems
5. Number Theory and the Real Number System
5.1 Number Theory: Prime and Composite Numbers
5.2 The Integers; Order of Operations
5.3 The Rational Numbers
5.4 The Irrational Numbers
5.5 Real Numbers and Their Properties; Clock Addition
5.6 Exponents and Scientific Notation
5.7 Arithmetic and Geometric Sequences
6. Algebra: Equations and Inequalities
6.1 Algebraic Expressions and Formulas
6.2 Linear Equations in One Variable and Proportions
6.3 Applications of Linear Equations
6.4 Linear Inequalities in One Variable
6.5 Quadratic Equations
7. Algebra: Graphs, Functions, and Linear Systems
7.1 Graphing and Functions
7.2 Linear Functions and Their Graphs
7.3 Systems of Linear Equations in Two Variables
7.4 Linear Inequalities in Two Variables
7.5 Linear Programming
7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions
8. Personal Finance
8.1 Percent, Sales Tax, and Discounts
8.2 Income Tax
8.3 Simple Interest
8.4 Compound Interest
8.5 Annuities, Methods of Saving, and Investments
8.6 Cars
8.7 The Cost of Home Ownership
8.8 Credit Cards
9. Measurement
9.1 Measuring Length; The Metric System
9.2 Measuring Area and Volume
9.3 Measuring Weight and Temperature
10. Geometry
10.1 Points, Lines, Planes, and Angles
10.2 Triangles
10.3 Polygons, Perimeter, and Tessellations
10.4 Area and Circumference
10.5 Volume and Surface Area
10.6 Right Triangle Trigonometry
10.7 Beyond Euclidean Geometry
11. Counting Methods and Probability Theory
11.1 The Fundamental Counting Principle
11.2 Permutations
11.3 Combinations
11.4 Fundamentals of Probability
11.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
11.6 Events Involving Not and Or; Odds
11.7 Events Involving And; Conditional Probability
11.8 Expected Value
12. Statistics
12.1 Sampling, Frequency Distributions, and Graphs
12.2 Measures of Central Tendency
12.3 Measures of Dispersion
12.4 The Normal Distribution
12.5 Problem Solving with the Normal Distribution
12.6 Scatter Plots, Correlation, and Regression Lines
13. Voting and Apportionment
13.1 Voting Methods
13.2 Flaws of Voting Methods
13.3 Apportionment Methods
13.4 Flaws of Apportionment Methods
14. Graph Theory
14.1 Graphs, Paths, and Circuits
14.2 Euler Paths and Euler Circuits
14.3 Hamilton Paths and Hamilton Circuits
14.4 Trees
Answers to Selected Exercises
Author bios
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