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Algebra and Trigonometry,9780321159359
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Algebra and Trigonometry

by ; ;
Edition:
2nd
ISBN13:

9780321159359

ISBN10:
0321159357
Format:
Hardcover
Pub. Date:
1/1/2005
Publisher(s):
Addison Wesley
List Price: $149.33
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Summary

The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition to helping students visualize the math with side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros, and solutions, both visually and algebraically.

Table of Contents

Basic Concepts of Algebra
The Real-Number System
2(6)
Integer Exponents, Scientific Notation, and Order of Operations
8(8)
Addition, Subtraction, and Multiplication of Polynomials
16(5)
Factoring
21(8)
Rational Expressions
29(8)
Radical Notation and Rational Exponents
37(15)
Summary and Review
47(3)
Test
50(2)
Graphs, Functions, and Models
Introduction to Graphing
52(17)
Functions and Graphs
69(15)
Linear Functions, Slope, and Applications
84(12)
Equations of Lines and Modeling
96(16)
More on Functions
112(13)
The Algebra of Functions
125(11)
Symmetry and Transformations
136(30)
Summary and Review
158(5)
Test
163(3)
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models
166(18)
The Complex Numbers
184(7)
Quadratic Equations, Functions, and Models
191(16)
Analyzing Graphs of Quadratic Functions
207(13)
More Equation Solving
220(9)
Solving Linear Inequalities
229(15)
Summary and Review
237(3)
Test
240(4)
Polynomial and Rational Functions
Polynomial Functions and Models
244(24)
Polynomial Division: The Remainder and Factor Theorems
268(8)
Theorems about Zeros of Polynomial Functions
276(10)
Rational Functions
286(19)
Polynomial and Rational Inequalities
305(9)
Variation and Applications
314(16)
Summary and Review
322(5)
Test
327(3)
Exponential and Logarithmic Functions
Inverse Functions
330(12)
Exponential Functions and Graphs
342(14)
Logarithmic Functions and Graphs
356(16)
Properties of Logarithmic Functions
372(8)
Solving Exponential and Logarithmic Equations
380(11)
Applications and Models: Growth and Decay
391(21)
Summary and Review
406(4)
Test
410(2)
The Trigonometric Functions
Trigonometric Functions of Acute Angles
412(12)
Applications of Right Triangles
424(10)
Trigonometric Functions of Any Angle
434(16)
Radians, Arc Length, and Angular Speed
450(16)
Circular Functions: Graphs and Properties
466(16)
Graphs of Transformed Sine and Cosine Functions
482(26)
Summary and Review
501(4)
Test
505(3)
Trigonometric Identities, Inverse Functions, and Equations
Identities: Pythagorean and Sum and Difference
508(14)
Identities: Cofunction, Double-Angle, and Half-Angle
522(9)
Proving Trigonometric Identities
531(7)
Inverses of the Trigonometric Functions
538(12)
Solving Trigonometric Equations
550(20)
Summary and Review
564(4)
Test
568(2)
Applications of Trigonometry
The Law of Sines
570(13)
The Law of Cosines
583(9)
Complex Numbers: Trigonometric Form
592(12)
Polar Coordinates and Graphs
604(12)
Vectors and Applications
616(9)
Vector Operations
625(21)
Summary and Review
639(4)
Test
643(3)
Systems of Equations and Matrices
Systems of Equations in Two Variables
646(16)
Systems of Equations in Three Variables
662(10)
Matrices and Systems of Equations
672(9)
Matrix Operations
681(12)
Inverses of Matrices
693(7)
Determinants and Cramer's Rule
700(9)
Systems of Inequalities and Linear Programming
709(11)
Partial Fractions
720(16)
Summary and Review
726(6)
Test
732(4)
Conic Sections
The Parabola
736(9)
The Circle and the Ellipse
745(11)
The Hyperbola
756(10)
Nonlinear Systems of Equations
766(18)
Summary and Review
778(4)
Test
782(2)
Sequences, Series, and Combinatorics
Sequences and Series
784(9)
Arithmetic Sequences and Series
793(9)
Geometric Sequences and Series
802(12)
Mathematical Induction
814(6)
Combinatorics: Permutations
820(10)
Combinatorics: Combinations
830(8)
The Binomial Theorem
838(8)
Probability
846(17)
Summary and Review
856(4)
Test
860(3)
Appendix A: Basic Concepts from Geometry 863(14)
Appendix B: Parametric Equations 877
Answers 1(77)
Photo Credits 78
Index 1(12)
Index of Applications 13


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