College Algebra: Graphs and Models

by Bittinger

• ISBN13: 9780201848908
• ISBN10: 0201848902
• Additional ISBN(s): 9780201303704
• Edition: 1st
• Format: Hardcover
• Copyright: 1997-01-01
• Publisher: Addison Wesley
• More Book Details

Table of Contents

Introduction to Graphs and Graphers	1	(19)
R Basic Concepts of Algebra
The Real-Number System	20	(5)
Integer Exponents, Scientific Notation, and Order of Operations	25	(7)
Addition, Subtraction, and Multiplication of Polynomials	32	(4)
Factoring	36	(4)
Rational Expressions	40	(9)
Radical Notation and Rational Exponents	49	(9)
Solving Equations	58	(8)
Solving Inequalities	66	(6)
Modeling and Applications	72	(12)
Summary and Review	79	(5)
Graphs, Functions, and Models
Functions, Graphs, and Graphers	84	(14)
Functions and Applications	98	(13)
Linear Functions and Applications	111	(16)
Data Analysis, Curve Fitting, and Linear Regression	127	(8)
Distance, Midpoints, and Circles	135	(5)
Symmetry	140	(7)
Transformations of Functions	147	(11)
The Algebra of Functions	158	(14)
Summary and Review	167	(5)
Polynomial and Rational Functions
Introduction to Polynomial Functions and Complex Numbers	172	(8)
Quadratic Equations and Functions	180	(16)
Polynomial Models and Curve Fitting	196	(12)
Polynomial Division; The Remainder and Factor Theorems	208	(7)
Theorems about Zeros of Polynomial Functions	215	(9)
Rational Functions	224	(14)
Polynomial and Rational Inequalities	238	(12)
Summary and Review	245	(5)
Exponential and Logarithmic Functions
Inverse Functions	250	(11)
Exponential Functions and Graphs	261	(13)
Logarithmic Functions and Graphs	274	(13)
Properties of Logarithmic Functions	287	(9)
Solving Exponetial and Logarithmic Equations	296	(7)
Applications and Models: Growth and Decay	303	(19)
Summary and Review	318	(4)
Systems and Matries
Systems of Equations in Two Variables	322	(10)
Systems of Equations in Three or More Variables	332	(8)
Matrices and Systems of Equations	340	(8)
Matrix Operations	348	(12)
Inverses of Matrices	360	(6)
Systems of Inequalities and Linear Programming	366	(11)
Partial Fractions	377	(13)
Summary and Review	385	(5)
Conic Sections
The Parabola	390	(8)
The Circle and the Ellipse	398	(10)
The Hyperbola	408	(9)
Nonlinear Sytems of Equations	417	(13)
Summary and Review	425	(5)
Sequences, Series, and Combinatorics
Sequences and Series	430	(11)
Arithmetic Sequences and Series	441	(10)
Geometric Sequences and Series	451	(11)
Mathematical Induction	462	(7)
Combinatorics: Permutations	469	(10)
Combinatorics: Combinations	479	(7)
The Binomial Theorem	486	(9)
Probability	495	(14)
Summary and Review	505	(4)
Appendixes	509	(1)
A Determinants and Cramer's Rule	509	(7)
B Parametric Equations	516
Ansers	A-1	(1)
Index of Applications	I-1	(1)
Index	I-5