Title:
Precalculus
Personal Author:
Edition:
7th ed.
Publication Information:
Belmont, CA : Brooks/Cole, Cengage c2012
Physical Description:
1 v. (various pagings) : ill. (some col.) ; 26 cm.
ISBN:
9780840069429
General Note:
Includes index
Subject Term:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010302519 | QA39.3 C64 2012 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Get a good grade in your precalculus course with PRECALCULUS, Seventh Edition. Written in a clear, student-friendly style, the book also provides a graphical perspective so you can develop a visual understanding of college algebra and trigonometry. With great examples, exercises, applications, and real-life data--and a range of online study resources--this book provides you with the tools you need to be successful in your course.
Table of Contents
| 1 Fundamentals |
| Sets of Real Numbers |
| Absolute Value |
| Solving Equations (Review and Preview) |
| Rectangular Coordinates |
| Visualizing Data |
| Graphs and Graphing Utilities |
| Equations of Lines |
| Symmetry and Graphs |
| Circles |
| 2 Equations And Inequalities |
| Quadratic Equations: Theory and Examples |
| Other Types of Equations |
| Inequalities |
| More on Inequalities |
| 3 Functions |
| The Definition of a Function |
| The Graph of a Function |
| Shapes of Graphs |
| Average Rate of Change |
| Techniques in Graphing |
| Methods of Combining Functions |
| Iteration |
| Inverse Functions |
| 4 Polynomial And Rational Functions: Applications To Optimization |
| Linear Functions |
| Quadratic Functions |
| Using Iteration to Model Populations Growth (Optional Section) |
| Setting Up Equations That Devine Functions |
| Maximum and Minimum Problems |
| Polynomial Functions |
| Rational Functions |
| 5 Exponential And Logarithmic Functions |
| Exponential Functions |
| The Exponential Function y = ex |
| Logarithmic Functions |
| Properties of Logarithms |
| Equations and Inequalities with Logs and Exponents |
| Compound IntereSt. Exponential Growth and Decay |
| 6 An Introduction To Trigonometry Via Right Triangles |
| Trigonometric Functions of Acute Angles |
| Right-Triangle Applications |
| Trigonometric Functions of Angles |
| Trigonometric Identities |
| 7 The Trigonometric Functions |
| Radian Measure |
| Trigonometric Functions of Angles |
| Evaluating the Trigonometric Functions |
| Algebra and the Trigonometric Functions |
| Right-Triangle Trigonometry |
| 8 Graphs Of Trigonometric Functions |
| Trigonometric Functions of Real Numbers |
| Graphs of the Sine and Cosine Functions |
| Graphs of y = A sin(Bx-C) and y = A cos(Bx-C) |
| Simple Harmonic Motion |
| Graphs of the Tangent and the Reciprocal Functions |
| 9 Analytical Trigonometry |
| The Addition Formulas |
| The Double-Angle Formulas |
| The Product-to-Sum and Sum-to-Product Formulas |
| Trigonometric Equations |
| The Inverse Trigonometric Functions |
| 10 Additional Topics In Trigonometry |
| Right-Triangle Applications |
| The Law of Sines and the Law of Cosines |
| Vectors in the Plane: A Geometric Approach |
| Vectors in the Plane: An Algebraic Approach |
| Parametric Equations |
| Introduction to Polar Coordinates |
| Curves in Polar Coordinates |
| DeMoivre's Theorem |
| 11 Systems Of Equations |
| Systems of Two Linear Equations in Two Unknowns |
| Gaussian Elimination |
| Matrices |
| The Inverse of a Square Matrix |
| Determinants and Cramer's Rule |
| Nonlinear Systems of Equations |
| Systems of Inequalities |
| 12 The Conic Sections |
| The Basic Equations |
| The Parabola |
| Tangents to Parabolas (Optional Section) |
| The Ellipse |
| The Hyperbola |
| The Focus-Directrix Property of Conics |
| The Conics in Polar Coordinates |
| Rotation of Axes |
| 13 Roots Of Polynomial Equations |
| Division of Polynomials |
| The Remainder Theorem and the Factor Theorem |
| The Fundamental Theorem of Algebra |
| Rational and Irrational Roots |
| Conjugate Roots and Descartes's Rule of Signs |
| Introduction to Partial Fractions |
| More About Partial Fractions |
| 14 Additional Topics In Algebra |
| Mathematical Induction |
| The Binomial Theorem |
| Introduction to Sequences and Series |
| Arithmetic Sequences and Series |
| Geometric Sequences and Series |
| Introduction to Limits |
| Appendix A.1 Significant Digits |
| Appendix A.2 v2 is Irrational |
| Appendix A.3 The Complex Number System |
| Answers |
| Index |
