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Precalculus
ISBN: 9780558652319 | 055865231X
Edition: 5thFormat: Paperback
Publisher: Pearson Learning Solutions
Pub. Date: 5/5/2010
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Warren Esty's Precalclus is intended as a bridge from high school Algebra II and trigonometry to college calculus. It fills the need for a text that delves deeper into the power of algebra and algebraic notation than other texts which merely emphasize calculation skills. The text includes the usual precalculus material, including functions, powers, polynomials, logarithms, exponentials, and trigonometry, while placing special emphasis on learning how to read and use mathematical symbolism. "Precalculus" is not designed as a terminal course. On ... MORE
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TO THE INSTRUCTOR ix
CONTENTS
1. Reading Mathematics 1
1-1 Algebra 1
1-2 Order Matters! 9
1-3 Functio... MORE
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
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.
