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Algebra and Trigonometry : An Early Functions Approach

ISBN: 9780132215749 | 0132215748
Edition: 1st
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2007

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SummaryTable of Contents
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. First, he gets students engaged in the study of mathematics by highlighting truly relevant, unique, and engaging applications. He explores math the way it evolved: by describing real problems and how math explains them. In doi... MORE
Prefaceviii
Acknowledgmentsxiii
To the Studentxv
About the Authorxvii
Applications Indexxviii
Prere... MORE
1(94)
Algebraic Expressions and Real Numbers
2(15)
Basic Rules of Algebra
17(10)
Exponents and Scientific Notation
27(14)
Radicals and Rational Exponents
41(15)
Polynomials
56(12)
Mid-Chapter Check Point
67(1)
Factoring Polynomials
68(12)
Rational Expressions
80(15)
Summary, Review, and Test
91(1)
Review Exercises
92(2)
Chapter P Test
94(1)
Functions and Graphs
95(122)
Graphs and Graphing Utilities
96(10)
Basics of Functions and Their Graphs
106(16)
More on Functions and Their Graphs
122(14)
Linear Functions and Slope
136(15)
More on Slope
151(10)
Mid-Chapter Check Point
160(1)
Transformations of Functions
161(15)
Combinations of Functions; Composite Functions
176(13)
Inverse Functions
189(11)
Distance and Midpoint Formulas; Circles
200(17)
Summary, Review, and Test
208(3)
Review Exercises
211(4)
Chapter 1 Test
215(2)
Equations and Inequalities
217(84)
Linear Equations and Rational Equations
218(12)
Models and Applications
230(13)
Complex Numbers
243(6)
Quadratic Equations
249(19)
Mid-Chapter Check Point
267(1)
Other Types of Equations
268(14)
Linear Inequalities and Absolute Value Inequalities
282(19)
Summary, Review, and Test
294(2)
Review Exercises
296(3)
Chapter 2 Test
299(1)
Cumulative Review Exercises (Chapter 1--2)
300(1)
Polynomial and Rational Functions
301(102)
Quadratic Functions
302(14)
Polynomial Functions and Their Graphs
316(14)
Dividing Polynomials; Remainder and Factor Theorems
330(11)
Zeros of Polynomial Functions
341(14)
Mid-Chapter Check Point
354(1)
Rational Functions and Their Graphs
355(19)
Polynomial and Rational Inequalities
374(11)
Modeling Using Variation
385(18)
Summary, Review, and Test
395(2)
Review Exercises
397(3)
Chapter 3 Test
400(2)
Cumulative Review Exercises (Chapter 1--3)
402(1)
Exponential and Logarithmic Functions
403(68)
Exponential Functions
404(12)
Logarithmic Functions
416(12)
Properties of Logarithms
428(10)
Mid-Chapter Check Point
437(1)
Exponential and Logarithmic Equations
438(12)
Exponential Growth and Decay; Modeling Data
450(21)
Summary, Review, and Test
463(2)
Review Exercises
465(4)
Chapter 4 Test
469(1)
Cumulative Review Exercises (Chapters 1--4)
470(1)
Trigonometric Functions
471(120)
Angles and Radian Measure
472(15)
Right Triangle Trigonometry
487(15)
Trigonometric Functions of Any Angle
502(13)
Trigonometric Functions of Real Numbers; Periodic Functions
515(9)
Mid-Chapter Check Point
523(1)
Graphs of Sine and Cosine Functions
524(20)
Graphs of Other Trigonometric Functions
544(13)
Inverse Trigonometric Functions
557(15)
Applications of Trigonometric Functions
572(19)
Summary, Review, and Test
583(3)
Review Exercises
586(3)
Chapter 5 Test
589(1)
Cumulative Review Exercises (Chapters 1--5)
590(1)
Analytic Trigonometry
591(58)
Verifying Trigonometric Identities
592(10)
Sum and Difference Formulas
602(10)
Double-Angle, Power-Reducing, and Half-Angle Formulas
612(11)
Mid-Chapter Check Point
622(1)
Product-to-Sum and Sum-to-Product Formulas
623(7)
Trigonometric Equations
630(19)
Summary, Review, and Test
644(1)
Review Exercises
645(2)
Chapter 6 Test
647(1)
Cumulative Review Exercises (Chapters 1--6)
648(1)
Additional Topics In Trigonometry
649(82)
The Law of Sines
650(11)
The Law of Cosines
661(8)
Polar Coordinates
669(10)
Graphs of Polar Equations
679(12)
Mid-Chapter Check Point
690(1)
Complex Numbers in Polar Form; DeMoivre's Theorem
691(11)
Vectors
702(13)
The Dot Product
715(16)
Summary, Review, and Test
724(3)
Review Exercises
727(2)
Chapter 7 Test
729(1)
Cumulative Review Exercises (Chapters 1--7)
730(1)
Systems of Equations and Inequalities
731(68)
Systems of Linear Equations in Two Variables
732(15)
Systems of Linear Equations in Three Variables
747(8)
Partial Fractions
755(9)
Systems of Nonlinear Equations in Two Variables
764(9)
Mid-Chapter Check Point
773(1)
Systems of Inequalities
773(12)
Linear Programming
785(14)
Summary, Review, and Test
792(2)
Review Exercises
794(2)
Chapter 8 Test
796(1)
Cumulative Review Exercises (Chapters 1--8)
797(2)
Matrices and Determinants
799(68)
Matrix Solutions to Linear Systems
800(12)
Inconsistent and Dependent Systems and Their Applications
812(8)
Matrix Operations and Their Applications
820(16)
Mid-Chapter Check Point
836(1)
Multiplicative Inverses of Matrices and Matrix Equations
836(14)
Determinants and Cramer's Rule
850(17)
Summary, Review, and Test
861(2)
Review Exercises
863(2)
Chapter 9 Test
865(1)
Cumulative Review Exercises (Chapters 1--9)
865(2)
Conic Sections and Analytic Geometry
867(76)
The Ellipse
868(12)
The Hyperbola
880(14)
The Parabola
894(13)
Mid-Chapter Check Point
906(1)
Rotation of Axes
907(12)
Parametric Equations
919(9)
Conic Sections in Polar Coordinates
928(15)
Summary, Review, and Test
936(2)
Review Exercises
938(2)
Chapter 10 Test
940(1)
Cumulative Review Exercises (Chapters 1--10)
941(2)
Sequences, Induction, and Probability
943
Sequences and Summation Notation
944(10)
Arithmetic Sequences
954(9)
Geometric Sequences and Series
963(14)
Mid-Chapter Check Point
976(1)
Mathematical Induction
977(8)
The Binomial Theorem
985(7)
Counting Principles, Permutations, and Combinations
992(10)
Probability
1002
Summary, Review, and Test
1015(2)
Review Exercises
1017(3)
Chapter 11 Test
1020(1)
Cumulative Review Exercises (Chapters 1--11)
1021
Appendix Where Did That Come From? Selected Proofs1(1)
Answers to Selected Exercises1(1)
Subject Index1(1)
Photo Credits1

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