9780534385415

Precalculus Mathematics for Calculus (Non-InfoTrac Version with CD-ROM)

by
  • ISBN13:

    9780534385415

  • ISBN10:

    0534385419

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 12/10/2001
  • Publisher: Brooks Cole
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Summary

In this best selling Precalculus text, the authors explain concepts simply and clearly, without glossing over difficult points. This comprehensive, evenly-paced book provides complete coverage of the function concept and integrates substantial graphing ca

Table of Contents

Fundamentals
2(140)
Real Numbers
3(10)
Exponents and Radicals
13(13)
Algebraic Expressions
26(10)
Discovery Project Visualizing a Formula
35(1)
Fractional Expressions
36(9)
Equations
45(15)
Modeling with Equations
60(17)
Writing Project Equations through the Ages
76(1)
Inequalities
77(12)
Coordinate Geometry
89(15)
Solving Equations and Inequalities Graphically
104(9)
Lines
113(29)
Review
128(4)
Test
132(2)
Focus on Problem Solving General Principles
134(8)
Functions
142(114)
What Is a Function?
143(13)
Graphs of Functions
156(12)
Applied Functions: Variation
168(6)
Average Rate of Change: Increasing and Decreasing Functions
174(10)
Transformations of Functions
184(13)
Extreme Values of Functions
197(9)
Modeling with Functions
206(12)
Combining Functions
218(12)
Laboratory Project Iteration and Chaos
228(2)
One-to-One Functions and Their Inverses
230(26)
Review
240(4)
Test
244(2)
Focus on Modeling Fitting Lines to Data
246(10)
Polynomial and Rational Functions
256(78)
Polynomial Functions and Their Graphs
257(15)
Dividing Polynomials
272(7)
Real Zeros of Polynomials
279(13)
Discovery Project Zeroing in on a Zero
291(1)
Complex Numbers
292(7)
Complex Zeros and the Fundamental Theorem of Algebra
299(9)
Rational Functions
308(26)
Review
325(3)
Test
328(1)
Focus on Problem Solving Adding Something Extra
329(5)
Exponential and Logarithmic Functions
334(74)
Exponential Functions
335(14)
Discovery Project Exponential Explosion
348(1)
Logarithmic Functions
349(10)
Laws of Logarithms
359(5)
Exponential and Logarithmic Equations
364(11)
Modeling with Exponential and Logarithmic Functions
375(33)
Review
389(4)
Test
393(1)
Focus on Modeling Fitting Exponential and Power Functions to Data
394(14)
Trigonometric Functions of Real Numbers
408(64)
The Unit Circle
409(9)
Trigonometric Functions of Real Numbers
418(10)
Trigonometric Graphs
428(16)
Discovery Project Predator/Prey Models
442(2)
More Trigonometric Graphs
444(28)
Review
451(3)
Test
454(1)
Focus on Modeling Harmonic Motion
455(17)
Trigonometric Functions of Angles
472(62)
Angle Measure
473(10)
Trigonometry of Right Triangles
483(10)
Trigonometric Functions of Angles
493(12)
Discovery Project Similarity
503(2)
The Law of Sines
505(8)
The Law of Cosines
513(21)
Review
521(5)
Test
526(2)
Focus on Problem Solving Taking Cases
528(6)
Analytic Trigonometry
534(86)
Trigonometric Identities
535(8)
Addition and Subtraction Formulas
543(7)
Double-Angle, Half-Angle, and Product-Sum Formulas
550(10)
Inverse Trigonometric Functions
560(10)
Discovery Project Where to Sit at the Movies
569(1)
Trigonometric Equations
570(11)
Trigonometric Form of Complex Numbers: DeMoivre's Theorem
581(10)
Vectors
591(11)
The Dot Product
602(18)
Review
611(4)
Test
615(2)
Focus on Problem Solving Using Analogy
617(3)
Systems of Equations and Inequalities
620(102)
Systems of Equations
621(9)
Systems of Linear Equations in Two Variables
630(8)
Systems of Linear Equations in Several Variables
638(10)
Systems of Linear Equations: Matrices
648(13)
The Algebra of Matrices
661(13)
Laboratory Project Will the Species Survive?
672(2)
Inverses of Matrices and Matrix Equations
674(14)
Discovery Project Computer Graphics I
684(4)
Determinants and Cramer's Rule
688(11)
Systems of Inequalities
699(5)
Partial Fractions
704(18)
Review
710(3)
Test
713(2)
Focus on Modeling Linear Programming
715(7)
Topics in Analytic Geometry
722(84)
Parabolas
724(10)
Laboratory Project Rolling Down a Ramp
733(1)
Ellipses
734(10)
Hyperbolas
744(9)
Shifted Conics
753(8)
Rotation of Axes
761(12)
Discovery Project Computer Graphics II
770(3)
Polar Coordinates
773(10)
Polar Equations of Conics
783(6)
Parametric Equations
789(17)
Review
796(4)
Test
800(2)
Focus on Modeling The Path of a Projectile
802(4)
Sequences and Series
806(60)
Sequences and Summation Notation
807(10)
Arithmetic Sequences
817(7)
Geometric Sequences
824(10)
Discovery Project Finding Patterns
833(1)
Annuities and Installment Buying
834(7)
Mathematical Induction
841(7)
The Binomial Theorem
848(18)
Review
858(3)
Test
861(1)
Focus on Problem Solving Finding Patterns
862(4)
Counting and Probability
866(40)
Counting Principles
867(5)
Permutations and Combinations
872(10)
Probability
882(13)
Laboratory Project Small Samples, Big Results
894(1)
Expected Value
895(11)
Review
898(3)
Test
901(1)
Focus on Modeling The Monte Carlo Method
902(4)
Limits: A Preview of Calculus
906(11)
Finding Limits Numerically and Graphically
917(1)
Finding Limits Algebraically
916(8)
Tangent Lines and Derivatives
924(10)
Applied Project Designing a Roller Coaster
934(1)
Limits at Infinity; Limits of Sequences
934(8)
Areas
942(9)
Review
951(3)
Test
954(1)
Focus on Modeling Interpretations of Area
955
Answers to Odd-Numbered Exercises and Chapter Tests A1
Index A71

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