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.College Algebra, 5th Edition. DescriptionDugopolski’s College Algebra, Fifth Editiongives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enoughcarefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski. Strategies for success.
Learning aids are strategically placed throughout the text giving students guidance right when they need it. Chapter Openers discuss real-world situations that use mathematics from that chapter. Examples and exercises then relate back to the opening scenarios. Try This exercises after every example give students the opportunity to immediately try a problem that is just like the example and to check their work. Solutions are contained in the appendix of the student edition.
Summaries of important concepts are included to help students clarify ideas that have multiple parts. Strategies contain general guidelines for accomplishing tasks, and are useful for sharpening students’ problem-solving skills.
Procedures are similar to Strategies, but are more specific and more algorithmic, designed to give students a step-by-step approach for problems. Function Galleries show families of functions and their graphs, helping students link the visual aspects with the mathematical properties. These occurring throughout the text as appropriate, and are also gathered together at the beginning of the text for easy reference. Graphing calculator discussions throughout the text support and enhance algebraic conclusions, but are not used to arrive at those conclusions. These are optional and may be skipped, although students who do not use a graphing calculator may still benefit from the graphs and technology discussions.
Milestones along the way. Section exercises and review material include the following exercise types so students can practice and check their progress.
NEW! Fill-in-the-blank exercises begin every set of section exercises helping students learn the definitions, rules, and theorems. For Thought exercises are ten true/false questions that review the basic concepts in the section, check student understanding before beginning the exercises, and offer opportunities for writing and discussion. Answers are included in the back of the student edition. Exercises are arranged by difficulty, from easy to challenging.
Exercises that require a graphing calculator are marked with an icon and may be skipped. Hints suggest ways of approaching a problem and give a starting point to solve the application problem. These are given for approximately five application problems in every exercise set.
Download photoshop cs6 full crack. NEW! Cumulative review exercises at the end-of-section exercises are designed to keep current the skills learned in previous sections and chapters. These exercises are under the heading “Rethinking.”.
Writing/Discussion and Cooperative Learning Exercises deepen students’ understanding by giving them the opportunity to express mathematical ideas in writing and to their classmates during small group or team discussions. Thinking Outside the Box problems are designed to get students (and instructors) to do some mathematics just for fun, encouraging students to apply their creativity to unique problems. The problems can be used for individual or group work. Answers are given in the Annotated Instructor’s Edition and complete solutions can be found in the Instructor’s Solutions Manual. Linking Concepts are multi-part exercises that require the use of concepts from previous sections to illustrate the links among various concepts. These can be found at the end of nearly every exercise set. Answers are given in the Annotated Instructor’s Edition, and full solutions can be found in the Instructor’s Solutions Manual.
Tying it all together. Chapter review material contains all of the following features to help students review and synthesize the material as they prepare for the road ahead. Highlights contain an overview of all of the concepts presented in the chapter along with brief examples to illustrate the concept. Chapter Review Exercises are designed to give students a comprehensive review of the chapter without reference to individual sections, in order to prepare them for the chapter test.
Chapter Tests measure the students' readiness for a typical one-hour classroom test. Instructors may also use them as a model for their own end-of-chapter tests. EXPANDED!
Tying It All Together exercises help students review selected concepts from the present and prior chapters, and require them to integrate multiple concepts and skills. These occur at the end of most chapters and have been expanded to include NEW fill-in-the-blank vocabulary exercises. Index of Applications list the many applications contained within the text. The applications are page referenced and grouped by subject matter.Strategies for instructors:. The Annotated Instructor’s Edition includes answers on the page beside the exercises for most exercises, plus a complete answer section at the back. Exercise mapping for instructors correlates each group of exercises back to an example within the section. This convenient cross-referencing appears in the Annotated Instructor’s Edition and will make it easy for instructors to assign homework problems.
Pop Quizzes in every section of the text give instructors convenient eight- to ten-question quizzes that can be used in the classroom, covering the basic concepts. Answers are included in the Annotated Instructor’s Edition. Insider’s Guide This supplement includes resources to help faculty with course preparation and classroom management. Included are helpful teaching tips correlated to each section of the text as well as additional resources for classroom enrichment.
Updated real-world data in examples, exercises, and chapter and section openers make the text relevant for today’s students. Fill-in-the-blank exercises begin every set of section exercises now begins with fill-in-the-blank exercises, helping students learn the definitions, rules, and theorems. Cumulative review exercises at the end-of-section exercises are designed to keep current the skills learned in previous sections and chapters. These exercises are under the heading “Rethinking.”. Tying It All Together exercises have been expanded to include fill-in-the-blank vocabulary exercises. Complex Numbers The section on Complex Numbers has been moved to the end of Chapter P so that it now follows the more basic review material on polynomial operations. Polynomial and Rational Inequalities are now solved with one method, the test-point method.
Limit notation is now introduced and used to describe the asymptotic behavior of exponential, logarithmic, rational, and trigonometric functions. Table of ContentsP. PrerequisitesP.1 Real Numbers and Their PropertiesP.2 Integral Exponents and Scientific NotationsP.3 Rational Exponents and RadicalsP.4 PolynomialsP.5 Factoring PolynomialsP.6 Rational ExpressionsP.7 Complex NumbersChapter P HighlightsChapter P Review ExercisesChapter P Test1. Equations, Inequalities, and Modeling1.1 Equations in One Variable1.2 Constructing Models to Solve Problems1.3 Equations and Graphs in Two Variables1.4 Linear Equations in Two Variables1.5 Scatter Diagrams and Curve Fitting1.6 Quadratic Equations1.7 Linear and Absolute Value InequalitiesChapter 1 HighlightsChapter 1 Review ExercisesChapter 1 TestTying it all Together2. Functions and Graphs2.1 Functions2.2 Graphs of Relations and Functions2.3 Families of Functions, Transformations, and Symmetry2.4 Operations with Functions2.5 Inverse Functions2.6 Constructing Functions with VariationChapter 2 HighlightsChapter 2 Review ExercisesChapter 2 TestTying it all Together3. Polynomial and Rational Functions3.1 Quadratic Functions and Inequalities3.2 Zeros of Polynomial Functions3.3 The Theory of Equations3.4 Miscellaneous Equations3.5 Graphs of Polynomial Functions3.6 Rational Functions and InequalitiesChapter 3 HighlightsChapter 3 Review ExercisesChapter 3 TestTying it all Together4. Exponential and Logarithmic Functions4.1 Exponential Functions and Their Applications4.2 Logarithmic Functions and Their Applications4.3 Rules of Logarithms4.4 More Equations and ApplicationsChapter 4 HighlightsChapter 4 Review ExercisesChapter 4 TestTying it all Together5.
Systems of Equations and Inequalities5.1 Systems of Linear Equations in Two Variables5.2 Systems of Linear Equations in Three Variables5.3 Nonlinear Systems of Equations5.4 Partial Fractions5.5 Inequalities and Systems of Inequalities in Two Variables5.6 The Linear Programming ModelChapter 5 HighlightsChapter 5 Review ExercisesChapter 5 TestTying it all Together6. Matrices and Determinants6.1 Solving Linear Systems Using Matrices6.2 Operations with Matrices6.3 Multiplication of Matrices6.4 Inverses of Matrices6.5 Solutions of Linear Systems in Two Variables Using Determinants6.6 Solutions of Linear Systems in Three Variables Using DeterminantsChapter 6 HighlightsChapter 6 Review ExercisesChapter 6 TestTying it all Together7. The Conic Sections7.1 The Parabola7.2 The Ellipse and the Circle7.3 The HyperbolaChapter 7 HighlightsChapter 7 Review ExercisesChapter 7 TestTying it all Together8. Sequences, Series, and Probability8.1 Sequences8.2 Series8.3 Geometric Sequences and Series8.4 Counting and Permutations8.5 Combinations, Labeling, and the Binomial Theorem8.6 Probability8.7 Mathematical InductionChapter 8 HighlightsChapter 8 Review ExercisesChapter 8 TestAppendix: Solutions to Try This ExercisesAnswers to All ExercisesCreditsIndex of ApplicationsIndex. About the Author(s)Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an M.S.
In mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign—Urbana.
Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.