Thinking Mathematically with Integrated Review and Learning Guide plus NEW MyLab Math with Pearson eText -- Access Card Package

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  • Edition: 2nd
  • Format: Package
  • Copyright: 2014-08-28
  • Publisher: Pearson
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Blitzer’s Thinking Mathematically with Integrated Review is a co-requisite course solution, offering a complete liberal arts mathematics MyMathLab® course with integrated review of select topics from developmental algebra. This course solution may be used in a co-requisite course model, or simply to help under-prepared students master prerequisite skills and concepts.


About Blitzer’s Thinking Mathematically:

For courses in liberal arts mathematics


In Thinking Mathematically, Sixth Edition, Bob Blitzer’s distinctive and relatable voice motivates students from diverse backgrounds and majors, engaging them in the math through compelling, real-world applications. Understanding that most students in a liberal arts math course are not math majors, and are unlikely to take another math class, Blitzer has provided tools in every chapter to help them master the material with confidence, while also showing them the beauty and fun of math. The variety of topics and flexibility of sequence make this text appropriate for a one- or two-term course in liberal arts mathematics or general education mathematics.


0321986342 / 9780321986344 Thinking Mathematically with Integrated Review and Worksheets plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:   

0321262522 / 9780321262523 MyMathLab -- Valuepack Access Card

0321867327 / 9780321867322 Thinking Mathematically

0321986407 / 9780321986405 Worksheets for Thinking Mathematically with Integrated Review


Author Biography

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, Precalculus, and Trigonometry all published by Pearson.

Table of Contents

The table of contents below shows the review topics (bulleted text) that are integrated into the Thinking Mathematically course. The Integrated Review includes worksheets, videos, and other materials designed to help students master these important topics.


1. Problem Solving and Critical Thinking

1.R Integrated Review

  • 1.R.1 Translate English phrases into algebraic expressions
  • 1.R.2 Find coordinates of points in the rectangular coordinate system
  • 1.R.3 Evaluate algebraic expressions
  • 1.R.4 Use the order of operations agreement

1.1 Inductive and Deductive Reasoning

1.2 Estimation, Graphs, and Mathematical Models

1.3 Problem Solving


2. Set Theory

2.R Integrated Review

  • 2.R.1 Understand and use inequality symbols

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 Negations, 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.R Integrated Review

  • 5.R.1 Evaluate exponential expressions
  • 5.R.2 Use the multiplication property of equality to solve equations
  • 5.R.3 Find square roots
  • 5.R.4 Use a calculator to find decimal approximations for irrational square roots

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.R Integrated Review

  • 6.R.1 Determine whether a number is a solution of an equation
  • 6.R.2 Use the addition property of equality to solve equations
  • 6.R.3 Translate English sentences into algebraic equations
  • 6.R.4 Solve linear equations
  • 6.R.5 Graph numbers on a number line
  • 6.R.6 Combine like terms
  • 6.R.7 Multiply monomials
  • 6.R.8 Find the greatest common factor
  • 6.R.9 Use the product rule
  • 6.R.10 Use the power rule
  • 6.R.11 Use the quotient rule
  • 6.R.12 Simplify exponential expressions

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.R Integrated Review

  • 7.R.1 Determine whether an ordered pair is a solution of an equation
  • 7.R.2 Find solutions of an equation in two variables
  • 7.R.3 Use a graph to identify intercepts
  • 7.R.4 Graph equations in the rectangular coordinate system
  • 7.R.5 Solve a formula for a variable
  • 7.R.6 Determine whether an ordered pair is a solution of an inequality
  • 7.R.7 Understand properties used to solve linear inequalities

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.R Integrated Review

  • 8.R.1 Use the percent formula

8.1 Percent, Sales Tax, and Discounts

8.2 Income Tax

8.3 Simple Interest

8.4 Compound Interest

8.5 Annuities, Methods of Savings, and Investments

8.6 Cars

8.7 The Cost of Home Ownership

8.8 Credit Cards


9. Measurement

9.R Integrated Review

  • 9.R.1 Convert between mixed numbers and improper fractions
  • 9.R.2 Convert from decimal to scientific notation
  • 9.R.3 Convert from scientific to decimal notation

9.1 Measuring Length; The Metric System

9.2 Measuring Area and Volume

9.3 Measuring Weight and Temperature


10. Geometry

10.R Integrated Review

  • 10.R.1 Solve problems involving proportions
  • 10.R.2 Solve quadratic equations using the square root property

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.R Integrated Review

  • 11.R.1 Reduce or simplify fractions
  • 11.R.2 Express rational numbers as decimals
  • 11.R.3 Multiply fractions
  • 11.R.4 Add and subtract fractions with identical denominators
  • 11.R.5 Add and subtract fractions with unlike denominators
  • 11.R.6 Divide fractions

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.R Integrated Review

  • 12.R.1 Plot ordered pairs in the rectangular coordinate system
  • 12.R.2 Compute a line’s slope
  • 12.R.3 Find a line’s slope and y-intercept from its equation
  • 12.R.4 Graph lines in slope-intercept form
  • 12.R.5 Use the rectangular coordinate system to visualize relationships between variables
  • 12.R.6 Find a number’s absolute value

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

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