College Algebra

by Beecher, Judith A.; Penna, Judith A.; Bittinger, Marvin L.

• ISBN13: 9780201741407
• ISBN10: 0201741407
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: Addison Wesley

Summary

These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

Table of Contents

Basic Concepts of Algebra
The Real Number System	2	(6)
Integer Exponents, Scientific Notation, and Order of Operations	8	(7)
Addition, Subtraction, and Multiplication of Polynomials	15	(4)
Factoring	19	(5)
Rational Expressions	24	(7)
Radical Notation and Rational Exponents	31	(13)
Summary and Review	40	(2)
Test	42	(2)
Graphs, Functions, and Models
Introduction to Graphing	44	(12)
Functions and Graphs	56	(14)
Linear Functions, Slope, and Applications	70	(11)
Equations of Lines and Modeling	81	(12)
More on Functions	93	(15)
Symmetry and Transformations	108	(26)
Summary and Review	126	(4)
Test	130	(4)
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models	134	(13)
The Complex Numbers	147	(6)
Quadratic Equations, Functions, and Models	153	(15)
Analyzing Graphs of Quadratic Functions	168	(10)
More Equation Solving	178	(6)
Solving Linear Inequalities	184	(10)
Summary and Review	189	(3)
Test	192	(2)
Polynomial and Rational Functions
Polynomial Functions and Models	194	(10)
Polynomial Division; The Remainder and Factor Theorems	204	(10)
Theorems about Zeros of Polynomial Functions	214	(11)
Rational Functions	225	(14)
Polynomial and Rational Inequalities	239	(8)
Variation and Applications	247	(15)
Summary and Review	255	(4)
Test	259	(3)
Exponential and Logarithmic Functions
Composite and Inverse Functions	262	(15)
Exponential Functions and Graphs	277	(11)
Logarithmic Functions and Graphs	288	(13)
Properties of Logarithmic Functions	301	(7)
Solving Exponential and Logarithmic Equations	308	(9)
Applications and Models: Growth and Decay	317	(19)
Summary and Review	331	(3)
Test	334	(2)
Systems of Equations and Matrices
Systems of Equations in Two Variables	336	(11)
Systems of Equations in Three Variables	347	(9)
Matrices and Systems of Equations	356	(8)
Matrix Operations	364	(12)
Inverses of Matrices	376	(6)
Determinants and Cramer's Rule	382	(9)
Systems of Inequalities and Linear Programming	391	(10)
Partial Fractions	401	(15)
Summary and Review	407	(6)
Test	413	(3)
Conic Sections
The Parabola	416	(8)
The Circle and the Ellipse	424	(10)
The Hyperbola	434	(10)
Nonlinear Systems of Equations	444	(18)
Summary and Review	455	(4)
Test	459	(3)
Sequences, Series, and Combinatorics
Sequences and Series	462	(8)
Arithmetic Sequences and Series	470	(9)
Geometric Sequences and Series	479	(10)
Mathematical Induction	489	(6)
Combinatorics: Permutations	495	(9)
Combinatorics: Combinations	504	(8)
The Binomial Theorem	512	(7)
Probability	519
Summary and Review	530	(3)
Test	533
Answers	1	(1)
Index	1
Index of Applications