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The latest edition of Swokowski and Cole's ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY retains the elements that have made it so popular with instructors and students alike: clear exposition, an appealing and uncluttered layout, and applications-rich exercise sets. The excellent, time-tested problems have been widely praised for their consistency and their appropriate level of difficulty for precalculus students. The book also covers some more challenging topics, such as Descartes' Rule of Signs and the Theorems on Bounds, which have been eliminated from other texts or relegated to an appendix. The Thirteenth Edition features updated topical references and data, and continues to be supported by outstanding technology resources. Mathematically sound, this book effectively prepares students for further courses in mathematics.
- New Chapter Tests at the end of each chapter provide an additional source of exam questions and great practice for students. The new items include straightforward questions based on exercises in the sections as well as questions that require students to stretch their thinking a bit and expand their use of the basic concepts.
- Arrow notation is introduced earlier (Section 2.2) and revisited more often in this edition, bolstering precalculus content to more effectively prepare students for calculus topics.
- Approximately 20% of the exercises are new or revised, including many featuring updated real data and new applications.
- New Examples illustrate numerous topics: find the inverse of a rational function (Section 4.1, with the method for checking presented in a marginal note); predict a quantity using the decay formula (Section 4.3); how to show that an equation is not an identity (Section 6.1); use the subtraction formula for the cosine to find an exact value when given an exact trigonometric value and the sign of another trigonometric function (Section 6.3); and how to find double angle values of other trigonometric functions given that the tangent of an angle is a constant (Section 6.4).
- Other new examples: solve a polynomial equation by using the theorem on nth roots (Section 7.6); substitute to aid in solving a system of equations (Section 8.2); find terms of a sequence that is recursively defined in terms of two preceding terms (Section 9.1); given two terms of an arithmetic sequence, find another term using a new formula (Section 9.2); given two terms of a geometric sequence, find another term using a new formula (Section 9.3); and probabilities of a royal flush (Section 9.8).
- Each exercise set begins with drill problems and then progresses to more challenging problems. Some exercises ask students to produce and examine a table of values as an aid to solve a problem. Others ask students to interpret some aspect of a given table of values. Many involve graphical solutions.
- Each chapter's "Review Exercises" (for which students have access to answers) ask students to put concepts together. These are followed by "Discussion Exercises" that are suitable for small-group work and which vary in difficulty; some are theoretical, while others are application-oriented.
- Topic coverage includes the law of growth (or decay) formula and expected value. Different quadratic function forms receive close attention.
- Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for this text to encourage the practice that's critical for concept mastery.
- Many exercises have online tutorials associated with them. These exercises are easily identified in the text with icons, making it simple for students to get extra practice as needed. The exercises are also assignable through Enhanced WebAssign®.
- Each concept is explained with great care, including step-by-step comments in the solutions of the examples. Graphs, figures, charts, and tables help students interpret graphical data, and accompany many examples.
- The text provides many topical examples showing how mathematical concepts have real-life applications.
1. FUNDAMENTAL CONCEPTS OF ALGEBRA.
Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions.
2. EQUATIONS AND INEQUALITIES.
Equations. Applied Problems. Quadratic Equations. Complex Numbers. Other Types of Equations. Inequalities. More on Inequalities.
3. FUNCTIONS AND GRAPHS.
Rectangular Coordinate Systems. Graphs of Equations. Lines. Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions.
4. POLYNOMIAL AND RATIONAL FUNCTIONS.
Polynomial Functions of Degree Greater than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Variation.
5. INVERSE, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS.
Inverse Functions. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations.
6. THE TRIGONOMETRIC FUNCTIONS.
Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems.
7. ANALYTIC TRIGONOMETRY.
Verifying Trigonometric Identities. Trigonometric Equations. The Addition and Subtraction Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions.
8. APPLICATIONS OF TRIGONOMETRY.
The Law of Sines. The Law of Cosines. Vectors. The Dot Product. Trigonometric Form for Complex Numbers. De Moivre's Theorem and nth Roots of Complex Numbers.
9. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Inequalities. Linear Programming. Systems of Linear Equations in More than Two Variables. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Properties of Determinants. Partial Fractions.
10. SEQUENCES, SERIES AND PROBABILITY.
Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability.
11. TOPICS FROM ANALYTIC GEOMETRY.
Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics.
Appendix I: Common Graphs and Their Equations.
Appendix II: A Summary of Graph Transformations.
Appendix III: Graphs of the Trigonometric Functions and Their Inverses.
Appendix IV: Values of the Trigonometric Functions of Special Angles on a Unit Circle.
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
PowerLecture with ExamView®
This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM(or DVD).
Student Solutions Manual
This manual contains solutions to odd-numbered Section Exercises, selected Chapter Review Exercises, odd-numbered Discussion Exercises, and all Chapter Test Exercises, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Annotated Instructor's Edition
This special edition of the complete student text includes answers next to each exercise.
Student Solutions Manual