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Precalculus : Mathematics for Calculus,9780534345044
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Precalculus : Mathematics for Calculus

by
Edition:
3rd
ISBN13:

9780534345044

ISBN10:
0534345042
Format:
Paperback
Pub. Date:
10/20/1997
Publisher(s):
Brooks Cole
List Price: $111.00

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This is the 3rd edition with a publication date of 10/20/1997.
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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 calculator materials that help students develop insight into mathematical ideas. This author team invests the same attention to detail and clarity as Jim Stewart does in his market-leading Calculus text.

Table of Contents

1 FUNDAMENTALS
2(128)
1.1 Real Numbers
3(11)
1.2 Exponents and Radicals
14(12)
1.3 Algebraic Expressions
26(10)
1.4 Fractional Expressions
36(8)
1.5 Equations
44(14)
1.6 Problem Solving with Equations
58(13)
1.7 Inequalities
71(9)
1.8 Coordinate Geometry
80(15)
1.9 Graphing Calculators and Computers
95(7)
1.10 Lines
102(14)
Chapter 1 Review
116(4)
Chapter 1 Test
120(2)
PRINCIPLES OF PROBLEM SOLVING
122(8)
2 FUNCTIONS
130(90)
2.1 What Is a Function?
131(8)
2.2 Graphs of Functions
139(13)
2.3 Applied Functions
152(10)
2.4 Transformations of Functions
162(12)
2.5 Extreme Values of Functions
174(13)
2.6 Combining Functions
187(8)
2.7 One-to-One Functions and Their Inverses
195(8)
Chapter 2 Review
203(5)
Chapter 2 Test
208(2)
PRINCIPLES OF MODELING
210(10)
3 POLYNOMIALS AND RATIONAL FUNCTIONS
220(66)
3.1 Polynomial Functions and Their Graphs
221(12)
3.2 Real Zeros of Polynomials
233(15)
3.3 Complex Numbers
248(7)
3.4 Complex Roots and The Fundamental Theorem of Algebra
255(7)
3.5 Rational Functions
262(15)
Chapter 3 Review
277(3)
Chapter 3 Test
280(1)
FOCUS ON PROBLEM SOLVING
281(5)
4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
286(64)
4.1 Exponential Functions
287(7)
4.2 The Natural Exponential Function
294(10)
4.3 Logarithmic Functions
304(9)
4.4 Laws of Logarithms
313(5)
4.5 Exponential and Logarithmic Equations
318(7)
4.6 Applications of Exponential and Logarithmic Functions
325(13)
Chapter 4 Review
338(3)
Chapter 4 Test
341(1)
FOCUS ON MODELING
342(8)
5 TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS
350(56)
5.1 The Unit Circle
351(8)
5.2 Trigonometric Functions of Real Numbers
359(9)
5.3 Trigonometric Graphs
368(14)
5.4 More Trigonometric Graphs
382(7)
Chapter 5 Review
389(3)
Chapter 5 Test
392(1)
FOCUS ON MODELING
393(13)
6 TRIGONOMETRIC FUNCTIONS OF ANGLES
406(54)
6.1 Angle Measure
407(8)
6.2 Trigonometry of Right Triangles
415(11)
6.3 Trigonometric Functions of Angles
426(9)
6.4 The Law of Sines
435(7)
6.5 The Law of Cosines
442(7)
Chapter 6 Review
449(4)
Chapter 6 Test
453(2)
FOCUS ON PROBLEM SOLVING
455(5)
7 ANALYTIC TRIGONOMETRY
460(70)
7.1 Trigonometric Identities
461(7)
7.2 Addition and Subtraction Formulas
468(7)
7.3 Double-Angle, Half-Angle, and Product-Sum Formulas
475(9)
7.4 Inverse Trigonometric Functions
484(9)
7.5 Trigonometric Equations
493(7)
7.6 Trigonometric Form of Complex Numbers; DeMoivre's Theorem
500(8)
7.7 Vectors
508(10)
Chapter 7 Review
518(4)
Chapter 7 Test
522(2)
FOCUS ON PROBLEM SOLVING
524(6)
8 SYSTEMS OF EQUATIONS AND INEQUALITIES
530(80)
8.1 Systems of Equations
531(8)
8.2 Pairs of Lines
539(7)
8.3 Systems of Linear Equations
546(14)
8.4 The Algebra of Matrices
560(8)
8.5 Inverses of Matrices and Matrix Equations
568(9)
8.6 Determinants and Cramer's Rule
577(10)
8.7 Systems of Inequalities
587(4)
8.8 Partial Fractions
591(6)
Chapter 8 Review
597(3)
Chapter 8 Test
600(2)
FOCUS ON MODELING
602(8)
9 TOPICS IN ANALYTIC GEOMETRY
610(74)
9.1 Parabolas
611(8)
9.2 Ellipses
619(9)
9.3 Hyperbolas
628(8)
9.4 Shifted Conics
636(8)
9.5 Rotation of Axes
644(6)
9.6 Polar Coordinates
650(11)
9.7 Polar Equations of Conics
661(5)
9.8 Parametric Equations
666(9)
Chapter 9 Review
675(4)
Chapter 9 Test
679(1)
FOCUS ON MODELING
680(4)
10 SEQUENCES AND SERIES
684(56)
10.1 Sequences and Summation Notation
685(9)
10.2 Arithmetic Sequences
694(6)
10.3 Geometric Sequences
700(8)
10.4 Annuities and Installment Buying
708(6)
10.5 Mathematical Induction
714(7)
10.6 The Binomial Theorem
721(10)
Chapter 10 Review
731(3)
Chapter 10 Test
734(1)
FOCUS ON PROBLEM SOLVING
735(5)
11 COUNTING AND PROBABILITY
740
11.1 Counting Principles
741(5)
11.2 Permutations and Combinations
746(8)
11.3 Probability
754(12)
11.4 Expected Value
766(3)
Chapter 11 Review
769(3)
Chapter 11 Test
772(1)
FOCUS ON MODELING
773
ANSWERS TO ODD-NUMBERED EXERCISES AND CHAPTER TESTS A1(60)
INDEX A61


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