Precalculus Mathematics for Calculus

by Stewart, James; Redlin, Lothar; Watson, Saleem

• ISBN13: 9780534345044
• ISBN10: 0534345042
• Format: Hardcover
• Copyright: 1997-10-20
• Publisher: Brooks Cole

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