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Study Guide for Stewart/Redlin/Watson's Algebra and Trigonometry, 2nd,9780495013587
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Study Guide for Stewart/Redlin/Watson's Algebra and Trigonometry, 2nd

by
Edition:
2nd
ISBN13:

9780495013587

ISBN10:
0495013587
Format:
Study Guide
Pub. Date:
1/12/2006
Publisher(s):
Brooks Cole
List Price: $90.00

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This is the 2nd edition with a publication date of 1/12/2006.
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Summary

This carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed explanations, worked-out examples, and practice problems. Students will also find listings of key ideas to master. Each section of the main text has a corresponding section in the Study Guide.

Table of Contents

Prerequisites
1(414)
Modeling the Real World
1(1)
Real Numbers
2(2)
Integer Exponents
4(2)
Rational Exponents and Radicals
6(2)
Algebraic Expressions
8(1)
Factoring
9(3)
Rational Expressions
12(9)
Chapter P Review
16(1)
Chapter P Test
17(2)
Focus on Problem Solving General Principles
19(2)
Equations and Inequalities
21(34)
Basic Equations
21(2)
Modeling with Equations
23(3)
Quadratic Equations
26(5)
Complex Numbers
31(2)
Other Types of Equations
33(3)
Inequalities
36(9)
Absolute Value Equations and Inequalities
45(10)
Chapter 1 Review
46(4)
Chapter 1 Test
50(3)
Focus on Modeling Making the Best Decisions
53(2)
Coordinates and Graphs
55(32)
The Coordinate Plane
55(4)
Graphs of Equations in Two Variables
59(7)
Graphing Calculators; Solving Equations and Inequalities Graphically
66(6)
Lines
72(4)
Modeling Variation
76(11)
Chapter 2 Review
78(4)
Chapter 2 Test
82(3)
Focus on Modeling Fitting Lines to Data
85(2)
Functions
87(40)
What is a Function?
87(3)
Graphs of Functions
90(5)
Increasing and Decreasing Functions; Average Rate of Change
95(2)
Transformations of Functions
97(5)
Quadratic Functions; Maxima and Minima
102(6)
Combining Functions
108(3)
One-to-One Functions and Their Inverses
111(16)
Chapter 3 Review
115(5)
Chapter 3 Test
120(3)
Focus on Modeling Modeling with Functions
123(4)
Polynomial and Rational Functions
127(46)
Polynomial Functions and Their Graphs
127(6)
Dividing Polynomials
133(3)
Real Zeros of Polynomials
136(14)
Complex Zeros and the Fundamental Theorem of Algebra
150(4)
Rational Functions
154(19)
Chapter 4 Review
162(6)
Chapter 4 Test
168(3)
Focus on Modeling Fitting Polynomial Curves to Data
171(2)
Exponential and Logarithmic Functions
173(26)
Exponential Functions
173(5)
Logarithmic Functions
178(3)
Laws of Logarithms
181(2)
Exponential and Logarithmic Equations
183(3)
Modeling with Exponential and Logarithmic Functions
186(13)
Chapter 5 Review
189(4)
Chapter 5 Test
193(2)
Focus on Modeling Fitting Exponential and Power Curves to Data
195(4)
Trigonometric Functions of Angles
199(16)
Angle Measure
199(1)
Trigonometry of Right Triangles
200(3)
Trigonometric Functions of Angles
203(2)
The Law of Sines
205(2)
The Law of Cosines
207(8)
Chapter 6 Review
209(2)
Chapter 6 Test
211(2)
Focus on Modeling Surveying
213(2)
Trigonometric Functions of Real Numbers
215(24)
The Unit Circle
215(2)
Trigonometric Functions of Real Numbers
217(2)
Trigonometric Graphs
219(5)
More Trigonometric Graphs
224(4)
Modeling Harmonic Motion
228(11)
Chapter 7 Review
230(3)
Chapter 7 Test
233(2)
Focus on Modeling Fitting Sinusoidal Curves to Data
235(4)
Analytic Trigonometry
239(22)
Trigonometric Identities
239(3)
Addition and Subtraction Formulas
242(2)
Double-Angle, Half-Angle, and Product-Sum Formulas
244(4)
Inverse Trigonometric Functions
248(3)
Trigonometric Equations
251(10)
Chapter 8 Review
255(3)
Chapter 8 Test
258(1)
Focus on Modeling Traveling and Standing Waves
259(2)
Polar Coordinates and Vectors
261(22)
Polar Coordinates
261(2)
Graphs of Polar Equations
263(3)
Polar Form of Complex Numbers; DeMoivre's Theorem
266(5)
Vectors
271(3)
The Dot Product
274(9)
Chapter 9 Review
275(3)
Chapter 9 Test
278(3)
Focus on Modeling Mapping the World
281(2)
Systems of Equations and Inequalities
283(56)
Systems of Equations
283(5)
Systems of Linear Equations in Two Variables
288(3)
Systems of Linear Equations in Several Variables
291(3)
Systems of Linear Equations: Matrices
294(5)
The Algebra of Matrices
299(3)
Inverses of Matrices and Matrix Equations
302(4)
Determinants and Cramer's Rule
306(7)
Partial Fractions
313(5)
Systems of Inequalities
318(21)
Chapter 10 Review
322(8)
Chapter 10 Test
330(5)
Focus on Modeling Linear Programming
335(4)
Analytic Geometry
339(36)
Parabolas
339(2)
Ellipses
341(3)
Hyperbolas
344(3)
Shifted Conics
347(4)
Rotation of Axes
351(4)
Polar Equations of Conics
355(3)
Plane Curves and Parametric Equations
358(17)
Chapter 11 Review
363(5)
Chapter 11 Test
368(5)
Focus on Modeling The Path of a Projectile
373(2)
Sequences and Series
375(24)
Sequences and Summation Notation
375(2)
Arithmetic Sequences
377(2)
Geometric Sequences
379(4)
Mathematics of Finance
383(1)
Mathematical Induction
384(5)
The Binomial Theorem
389(10)
Chapter 12 Review
391(3)
Chapter 12 Test
394(3)
Focus on Modeling Modeling with Recursive Sequences
397(2)
Counting and Probability
399(16)
Counting Principles
399(3)
Permutations and Combinations
402(3)
Probability
405(3)
Binomial Probability
408(1)
Expected Value
409(6)
Chapter 13 Review
410(3)
Chapter 13 Test
413(2)
Focus on Modeling The Monte Carlo Method
415


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