Basic Mathematics for College Students, Fourth Edition, is more than a simple upgrade of the third edition. Substantial changes have been made to the worked example structure, the Study Sets, and the pedagogy. Throughout the revision process, our objective has been to ease teaching challenges and meet students’ educational needs.
Mathematics, for many of today’s developmental math students, is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. With these needs in mind (and as educational research suggests), our fundamental goal is to have students read, write, think, and speak using the language of mathematics. Instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills have been blended to address this need.
Make the Commitment.
Starting a new course is exciting, but it also may be a little frightening. Like any new opportunity, in order to be successful, it will require a commitment of both time and resources. You can decrease the anxiety of this commitment by having a plan to deal with these added responsibilities.
Set Your Goals for the Course. Explore the reasons why you are taking this course. What do you hope to gain upon completion? Is this course a prerequisite for further study in mathematics? Maybe you need to complete this course in order to begin taking coursework related to your field of study. No matter what your reasons, setting goals for yourself will increase your chances of success. Establish your ultimate goal and then break it down into a series of smaller goals; it is easier to achieve a series of short-term goals rather than focusing on one larger goal.
Keep a Positive Attitude. Since your level of effort is significantly influenced by your attitude, strive to maintain a positive mental outlook throughout the class. From time to time, remind yourself of the ways in which you will benefit from passing the course. Overcome feelings of stress or math anxiety with extra preparation, campus support services, and activities you enjoy. When you accomplish short-term goals such as studying for a specific period of time, learning a difficult concept, or completing a homework assignment, reward yourself by spending time with friends, listening to music, reading a novel, or playing a sport.
CONTENTS.
Study Skills Workshop.
CHAPTER 1.
Whole Numbers.
1.1 An Introduction to the Whole Numbers.
THINK IT THROUGH Re-entry Students.
1.2 Adding Whole Numbers.
1.3 Subtracting Whole Numbers.
1.4 Multiplying Whole Numbers.
1.5 Dividing Whole Numbers.
1.6 Problem Solving.
1.7 Prime Factors and Exponents.
1.8 The Least Common Multiple and the Greatest Common Factor.
1.9 Order of Operations.
THINK IT THROUGH Education Pays.
Chapter Summary and Review.
Chapter Test.
CHAPTER 2.
The Integers.
2.1 An Introduction to the Integers.
THINK IT THROUGH Credit Card Debt.
2.2 Adding Integers.
THINK IT THROUGH Cash Flow.
2.3 Subtracting Integers.
2.4 Multiplying Integers.
2.5 Dividing Integers.
2.6 Order of Operations and Estimation.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 3.
Fractions and Mixed Numbers.
3.1 An Introduction to Fractions.
3.2 Multiplying Fractions.
3.3 Dividing Fractions.
3.4 Adding and Subtracting Fractions.
THINK IT THROUGH Budgets.
3.5 Multiplying and Dividing Mixed Numbers.
3.6 Adding and Subtracting Mixed Numbers.
THINK IT THROUGH.
3.7 Order of Operations and Complex Fractions.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 4.
Decimals.
4.1 An Introduction to Decimals.
4.2 Adding and Subtracting Decimals.
4.3 Multiplying Decimals.
THINK IT THROUGH Overtime.
4.4 Dividing Decimals.
THINK IT THROUGH GPA.
4.5 Fractions and Decimals.
4.6 Square Roots.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 5.
Ratio, Proportion, and Measurement.
5.1 Ratios.
THINK IT THROUGH Student-to-Instructor Ratio.
5.2 Proportions.
5.3 American Units of Measurement.
5.4 Metric Units of Measurement.
5.5 Converting between American and Metric Units.
THINK IT THROUGH Studying in Other Countries.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 6.
Percent.
6.1 Percents,Decimals, and Fractions.
6.2 Solving Percent Problems Using Percent Equations and Proportions.
THINK IT THROUGH Community College Students.
6.3 Applications of Percent.
THINK IT THROUGH Studying Mathematics.
6.4 Estimation with Percent.
6.5 Interest.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 7.
Graphs and Statistics.
7.1 Reading Graphs and Tables.
7.2 Mean,Median, and Mode.
THINK IT THROUGH The Value of an Education.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 8.
An Introduction to Algebra.
8.1 The Language of Algebra.
8.2 Simplifying Algebraic Expressions.
8.3 Solving Equations Using Properties of Equality.
8.4 More about Solving Equations.
8.5 Using Equations to Solve Application Problems.
8.6 Multiplication Rules for Exponents.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
CHAPTER 9.
An Introduction to Geometry.
9.1 Basic Geometric Figures; Angles.
9.2 Parallel and Perpendicular Lines.
9.3 Triangles.
9.4 The Pythagorean Theorem.
9.5 Congruent Triangles and Similar Triangles.
9.6 Quadrilaterals and Other Polygons.
9.7 Perimeters and Areas of Polygons.
THINK IT THROUGH Dorm Rooms.
9.8 Circles.
9.9 Volume.
Chapter Summary and Review.
Chapter Test.
Cumulative Review.
APPENDIXES.
Appendix I Addition and Multiplication Facts.
Appendix II Polynomials.
Appendix III Inductive and Deductive Reasoning.
Appendix IV Roots and Powers A-31.
Appendix V Answers to Selected Exercises (appears in Student Edition only).
Index.
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