Precalculus Essentials

Precalculus Essentials

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For courses in Precalculus.This text takes the same approach as the regular Blitzer Precalculus version, but has been condensed by deleting the last 5 chapters (Chapter 7 Systems of Equations and Inequalities; Chapter 8 Matrices and Determinants; Chapter 9 Conic Sections and Analytic Geometry; Chapter 10 Sequences, Induction, and Probability; Chapter 11 Introduction to Calculus). This text explores math the way it evolved: by describing real problems and how math explains them. It is interesting, lively (with applications you won't see in any other math book), and exceedingly clear. Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly. Students are strongly supported by a consistent pedagogical framework. A "See it, Hear it, Try it?" format consistently walks students through each and every example in just the same way that an instructor would teach this example in class. Blitzer liberally inserts voice balloons and annotations throughout the text helping clarify the more difficult concepts for students.
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Product details

  • Hardback | 800 pages
  • 205.7 x 261.6 x 30.5mm | 1,564.91g
  • Pearson
  • United States
  • English
  • 0131090445
  • 9780131090446

Table of contents

(*Each chapter ends with Review Grids, Review Exercises, and Chapter Test sections.)P. Prerequisites: Fundamental Concepts of Algebra. Real Numbers and Algebraic Expressions. Exponents and Scientific Notation. Radicals and Rational Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Linear Equations. Quadratic Equations. Linear Inequalities1. Graphs, Functions, and Models. Graphs and Graphing Utilities. Lines and Slopes. Distance and Midpoint Formulas. Basics of Functions. Graphs of Functions. Transformations of Functions. Combinations of Functions. Inverse Functions. Modeling with Functions.2. Polynomial and Rational Functions. Complex Numbers. Quadratic Functions. Polynomial Functions and their Graphs. Dividing Polynomials: Remainder and Factor Theorems. Zeros of Polynomial Functions. Rational Functions and Their Graphs. Polynomial and Rational Inequalities. Modeling Using Variation.3. Exponential and Logarithmic Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions.4. Trigonometric Functions. Angles and Their Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications of Trigonometric Functions.5. Analytic Trigonometry Verifying Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas. Product to Sum and Sum to Product Formulas. Trigonometric Equations.6. Additional Topics in Trigonometry. The Law of Sines. The Law of Cosines. Polar Coordinates. Graphs of Polar Equations. Complex Numbers in Polar Form; DeMoivre's Theorem. Vectors. The Dot Product.Appendix: Where Did That Come From? Selected Proofs. Answers to Selected Exercises. Subject Index. Photo Credits.
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Rating details

12 ratings
3.25 out of 5 stars
5 17% (2)
4 33% (4)
3 17% (2)
2 25% (3)
1 8% (1)
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