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Precalculus,9780131874794
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Precalculus

by
Edition:
3rd
ISBN13:

9780131874794

ISBN10:
0131874799
Format:
Hardcover
Pub. Date:
1/1/2007
Publisher(s):
Prentice Hall
List Price: $164.00
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Summary

Gets Them Engaged. Keeps Them Engaged. 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 so they don't get "lost" when studying and reviewing.

Table of Contents

Preface ix
Acknowledgments xiv
To the Student xvii
About the Author xix
Applications Index xx
Prerequisites: Fundamental concepts of Algebra
1(126)
Algebraic Expressions and Real Numbers
2(15)
Exponents and Scientific Notation
17(11)
Radicals and Rational Exponents
28(14)
Polynomials
42(9)
Factoring Polynomials
51(12)
Mid-Chapter Check Point
62(1)
Rational Expressions
63(14)
Equations
77(19)
Modeling with Equations
96(13)
Linear Inequalities and Absolute Value Inequalities
109(18)
Summary, Review, and Test
121(1)
Review Exercises
121(4)
Test
125(2)
Functions and Graphs
127(138)
Graphs and Graphing Utilities
128(10)
Basics of Functions and Their Graphs
138(16)
More on Functions and Their Graphs
154(14)
Linear Functions and Slope
168(15)
More on Slope
183(11)
Mid-Chapter Check Point
193(1)
Transformations of Functions
194(15)
Combinations of Functions; Composite Functions
209(13)
Inverse Functions
222(11)
Distance and Midpoint Formulas; Circles
233(9)
Modeling with Functions
242(23)
Summary, Review, and Test
255(3)
Review Exercises
258(5)
Test
263(2)
Polynomial and Rational Functions
265(110)
Complex Numbers
266(7)
Quadratic Functions
273(14)
Polynomial Functions and Their Graphs
287(14)
Dividing Polynomials; Remainder and Factor Theorems
301(11)
Zeros of Polynomial Functions
312(14)
Mid-Chapter Check Point
325(1)
Rational Functions and Their Graphs
326(20)
Polynomial and Rational Inequalities
346(11)
Modeling Using Variation
357(18)
Summary, Review, and Test
367(2)
Review Exercises
369(3)
Test
372(2)
Cumulative Review Exercises (Chapters P-2)
374(1)
Exponential and Logarithmic Functions
375(70)
Exponential Functions
376(12)
Logarithmic Functions
388(12)
Properties of Logarithms
400(10)
Mid-Chapter Check Point
409(1)
Exponential and Logarithmic Equations
410(12)
Exponential Growth and Decay; Modeling Data
422(23)
Summary, Review, and Test
437(2)
Review Exercises
439(4)
Test
443(1)
Cumulative Review Exercises (Chapters P-3)
444(1)
Trigonometric Functions
445(124)
Angles and Radian Measure
446(15)
Trigonometric Functions: The Unit Circle
461(14)
Right Triangle Trigonometry
475(12)
Trigonometric Functions of Any Angle
487(14)
Mid-Chapter Check Point
500(1)
Graphs of Sine and Cosine Functions
501(20)
Graphs of Other Trigonometric Functions
521(13)
Inverse Trigonometric Functions
534(15)
Applications of Trigonometric Functions
549(20)
Summary, Review, and Test
560(3)
Review Exercises
563(4)
Test
567(1)
Cumulative Review Exercises (Chapters P-4)
568(1)
Analytic Trigonometry
569(58)
Verifying Trigonometric Identities
570(10)
Sum and Difference Formulas
580(10)
Double-Angle, Power-Reducing, and Half-Angle Formulas
590(11)
Mid-Chapter Check Point
600(1)
Product-to-Sum and Sum-to-Product Formulas
601(7)
Trigonometric Equations
608(19)
Summary, Review, and Test
622(1)
Review Exercises
623(2)
Test
625(1)
Cumulative Review Exercises (Chapters P-5)
626(1)
Additional Topics in Trigonometry
627(82)
The Law of Sines
628(11)
The Law of Cosines
639(8)
Polar Coordinates
647(10)
Graphs of Polar Equations
657(12)
Mid-Chapter Check Point
668(1)
Complex Numbers in Polar Form; DeMoivre's Theorem
669(11)
Vectors
680(13)
The Dot Product
693(16)
Summary, Review, and Test
702(3)
Review Exercises
705(2)
Test
707(1)
Cumulative Review Exercises (Chapters P-6)
708(1)
Systems of Equations and Inequalities
709(72)
Systems of Linear Equations in Two Variables
710(19)
Systems of Linear Equations in Three Variables
729(8)
Partial Fractions
737(9)
Systems of Nonlinear Equations in Two Variables
746(9)
Mid-Chapter Check Point
755(1)
Systems of Inequalities
755(12)
Linear Programming
767(14)
Summary, Review, and Test
774(2)
Review Exercises
776(2)
Test
778(1)
Cumulative Review Exercises (Chapters P-7)
779(2)
Matrices and Determinants
781(68)
Matrix Solutions to Linear Systems
782(12)
Inconsistent and Dependent Systems and Their Applications
794(8)
Matrix Operations and Their Applications
802(16)
Mid-Chapter Check Point
818(1)
Multiplicative Inverses of Matrices and Matrix Equations
818(14)
Determinants and Cramer's Rule
832(17)
Summary, Review, and Test
843(2)
Review Exercises
845(2)
Test
847(1)
Cumulative Review Exercises (Chapters P-8)
847(2)
Conic Sections and Analytic Geometry
849(76)
The Ellipse
850(12)
The Hyperbola
862(14)
The Parabola
876(13)
Mid-Chapter Check Point
888(1)
Rotation of Axes
889(12)
Parametric Equations
901(9)
Conic Sections in Polar Coordinates
910(15)
Summary, Review, and Test
918(2)
Review Exercises
920(2)
Test
922(1)
Cumulative Review Exercises (Chapters P-9)
923(2)
Sequences, Induction, and Probability
925(80)
Sequences and Summation Notation
926(10)
Arithmetic Sequences
936(9)
Geometric Sequences and Series
945(14)
Mid-Chapter Check Point
958(1)
Mathematical Induction
959(8)
The Binomial Theorem
967(7)
Counting Principles, Permutations, and Combinations
974(10)
Probability
984(21)
Summary, Review, and Test
997(2)
Review Exercises
999(3)
Test
1002(1)
Cumulative Review Exercises (Chapters P-10)
1003(2)
Introduction to Calculus
1005
Finding Limits Using Tables and Graphs
1006(11)
Finding Limits Using Properties of Limits
1017(12)
Limits and Continuity
1029(8)
Mid-Chapter Check Point
1036(1)
Introduction to Derivatives
1037
Summary, Review, and Test
1050(1)
Review Exercises
1051(2)
Test
1053(1)
Cumulative Review Exercises (Chapters P-11)
1053
Appendix Where Did That Come From? Selected Proofs 1(1)
Answers to Selected Exercises 1(1)
Subject Index 1(1)
Photo Credits 1


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