College Algebra

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

• ISBN13: 9780321159342
• ISBN10: 0321159349
• Edition: 2nd
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: Addison Wesley

Summary

The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. 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 to helping students visualize the math with side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros, and solutions, both visually and algebraically.

Table of Contents

Basic Concepts of Algebra
The Real-Number System	2	(6)
Integer Exponents, Scientific Notation, and Order of Operations	8	(8)
Addition, Subtraction, and Multiplication of Polynomials	16	(5)
Factoring	21	(8)
Rational Expressions	29	(8)
Radical Notation and Rational Exponents	37	(15)
Summary and Review	47	(3)
Test	50	(2)
Graphs, Functions, and Models
Introduction to Graphing	52	(17)
Functions and Graphs	69	(15)
Linear Functions, Slope, and Applications	84	(12)
Equations of Lines and Modeling	96	(16)
More on Functions	112	(13)
The Algebra of Functions	125	(11)
Symmetry and Transformations	136	(30)
Summary and Review	158	(5)
Test	163	(3)
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models	166	(18)
The Complex Numbers	184	(7)
Quadratic Equations, Functions, and Models	191	(16)
Analyzing Graphs of Quadratic Functions	207	(13)
More Equation Solving	220	(9)
Solving Linear Inequalities	229	(15)
Summary and Review	237	(3)
Test	240	(4)
Polynomial and Rational Functions
Polynomial Functions and Models	244	(24)
Polynomial Division; The Remainder and Factor Theorems	268	(8)
Theorems about Zeros of Polynomial Functions	276	(10)
Rational Functions	286	(19)
Polynomial and Rational Inequalities	305	(9)
Variation and Applications	314	(16)
Summary and Review	322	(5)
Test	327	(3)
Exponential and Logarithmic Functions
Inverse Functions	330	(12)
Exponential Functions and Graphs	342	(14)
Logarithmic Functions and Graphs	356	(16)
Properties of Logarithmic Functions	372	(8)
Solving Exponential and Logarithmic Equations	380	(11)
Applications and Models: Growth and Decay	391	(21)
Summary and Review	406	(4)
Test	410	(2)
Systems of Equations and Matrices
Systems of Equations in Two Variables	412	(16)
Systems of Equations in Three Variables	428	(10)
Matrices and Systems of Equations	438	(9)
Matrix Operations	447	(12)
Inverses of Matrices	459	(7)
Determinants and Cramer's Rule	466	(9)
Systems of Inequalities and Linear Programming	475	(11)
Partial Fractions	486	(16)
Summary and Review	492	(6)
Test	498	(4)
Conic Sections
The Parabola	502	(9)
The Circle and the Ellipse	511	(11)
The Hyperbola	522	(10)
Nonlinear Systems of Equations	532	(18)
Summary and Review	544	(4)
Test	548	(2)
Sequences, Series, and Combinatorics
Sequences and Series	550	(9)
Arithmetic Sequences and Series	559	(9)
Geometric Sequences and Series	568	(12)
Mathematical Induction	580	(6)
Permutations	586	(10)
Combinatorics: Combinations	596	(8)
The Binomial Theorem	604	(8)
Probability	612	(17)
Summary and Review	622	(4)
Test	626	(3)
Appendix: Basic Concepts from Geometry	629
Answers	1	(55)
Photo Credits	56
Index	1	(10)
Index of Applications	11