Precalculus / Edition 5

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Exceptionally accessible and user-friendly, this introduction to precalculus features an abundance of interesting real-world applications that relate to readers' everyday lives. Filled with scenarios, examples, study tips, exercises, etc., it takes the intimidation out of learning precalculus, and gets readers up to speed quickly and painlessly. Prerequisites: Fundamental Concepts of Algebra. Equations, Inequalities, and Mathematical Models. Functions and Graphs. Polynomial and Rational Functions. Exponential and Logarithmic Functions. Trigonometric Functions. Analytic Trigonometry. Additional Topics in Trigonometry. Systems of Equations and Inequalities. Matrices and Determinants. Conic Sections. Sequences, Induction, and Probability. For anyone wanting a user-friendly introduction to precalculus.
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Product Details

  • ISBN-13: 9780558652319
  • Publisher: Pearson Learning Solutions
  • Publication date: 5/19/2010
  • Edition description: New Edition
  • Edition number: 5
  • Pages: 460
  • Product dimensions: 7.96 (w) x 9.91 (h) x 0.92 (d)

Meet the Author

Warren Esty is a professor of mathematics at Montana State University, Bozeman. He has a PhD in mathematics focused on probability theory from the University of Wisconsin and a BA from Oberlin College. He has won several of Montana State University’s major teaching awards, including the Phi Kappa Phi Distinguished Professor award and the “Teacher of the Year” award in the College of Letters and Sciences. Professor Esty’s research interests are mathematics education and statistics in numismatic processes.

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Table of Contents



1. Reading Mathematics 1

1-1 Algebra 1

1-2 Order Matters! 9

1-3 Functions and Notation 19

1-4 Reading and Writing Mathematics 28

1-5 Graphs 42

1-6 Four Ways to Solve Equations 55

2. Functions and Graphs 67

2-1 Functions and Graphs 67

2-2 Composition and Decomposition 78

2-3 Inverses 90

3. Fundamental Functions 103

3-1 Lines 103

3-2 Quadratics 124

3-3 Distance, Circles, and Ellipses 140

3-4 Graphical Factoring 149

3-5 Word Problems 160

3-6 More on Word Problems 175

4. Powers 187

4-1 Powers and Polynomials 187

4-2 Polynomial Equations 204

4-3 Fractional Powers 219

4-4 Percents, Money, and Compounding 234

4-5 Rational Functions 248

4-6 Inequalities 265

5. Exponential and Logarithmic Functions 283

5-1 Exponents and Logarithms 283

5-2 Base 2 and Base e 297

5-3 Applications 313

5-4 More Applications 323

6. Trigonometry 331

6-1 Geometry for Trigonometry 331

6-2 Trigonometric Functions 344

6-3 Solving Triangles 365

6-4 Solving Figures 375

7. Trigonometry for Calculus 391

7-1 Radians 391

7-2 Trigonometric Identities 403

7-3 More Identities 421

7-4 Waves 434

Index I-1

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