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Overview
PRECALCULUS: FUNCTIONS AND GRAPHS, 13th Edition, retains the features that have made it so popular: clear exposition, uncluttered layout and diverse, applications-rich examples and exercises. The excellent, time-tested problems have been widely praised for their consistency and appropriate level of difficulty for Precalculus students. Mathematically sound, PRECALCULUS: FUNCTIONS AND GRAPHS effectively prepares students for further courses in Mathematics.
- A new Chapter 11-- Limits of Functions--provides students a solid foundation on limit concepts and prepares them for any beginning Calculus course.
- Appendix V--Theorems on Limits--contains proofs for some of the theorems in Chapter 11.
- New examples and exercises have been incorporated throughout, keeping the material current and fresh.
- Great care is taken to explain each concept and include step-by-step comments in the solutions of the examples. Many examples are accompanied by graphs, figures, charts or tables to help students interpret graphical data.
- Each exercise set is carefully graded, progressing from basic skill-building problems to more challenging conceptual and applied problems.
- The text includes a wealth of interesting and relevant applications designed to capture student interest and help students relate the material to real-life situations.
- Graphing calculator inserts, examples and exercises, highlight the capabilities of graphing calculators and illustrate how to use graphing calculators to solve problems more quickly.
- Suitable for small group discussions, Discussion Exercises contain a mix of theoretical and application-oriented exercises.
Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Complex Numbers. Inequalities.
2. FUNCTIONS AND GRAPHS.
Rectangular Coordinate Systems. Graphs of Equations. Lines. Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions.
3. 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.
4. INVERSE, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS.
Inverse Functions. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations.
5. TRIGONOMETRIC FUNCTIONS.
Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of the Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems.
6. ANALYTIC TRIGONOMETRY.
Verifying Trigonometric Identities. Trigonometric Equations. The Additions and Subtraction of Formulas. Multiple-Angle Formulas. Product-To-Sum and Sum-To-Product Formulas. The Inverse Trigonometric Functions.
7. 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.
8. 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.
9. SEQUENCES, SERIES, AND PROBABILITY.
Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability.
10. TOPICS FROM ANALYTICAL GEOMETRY.
Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics.
11. LIMITS OF FUNCTIONS.
Introductions to Limits. Definition of a Limit. Techniques for Finding Limits. Limits Involving Infinity.
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.
Appendix V: Theorems on Limits.
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ISBN: 9781337632027
WebAssign for Swokowski/Cole’s Precalculus: Functions and Graphs, 13th Edition, is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of instructors, enabling you to deploy assignments, instantly assess individual student and class performance and help your students master the course concepts. With its powerful digital platform and Precalculus: Functions and Graphs specific content, you can tailor your course with a wide range of assignment settings, add your own questions and content and access student and course analytics and communication tools.