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Tables of Contents for Fundamentals of College Algebra
Chapter/Section Title
Page #
Page Count
List of Graphing Calculator Topics
viii

Preface
xi

Fundamental Concepts of Algebra
1
58
Real Numbers
2
17
19
12
Algebraic Expressions
31
14
Fractional Expressions
45
14
Review Exercises
56
2
Discussion Exercises
58
1
Equations and Inequalities
59
72
Equations
60
9
Applied Problems
69
11
80
14
Complex Numbers
94
7
Other Types of Equations
101
9
Inequalities
110
9
More on Inequalities
119
12
Review Exercises
127
3
Discussion Exercises
130
1
Functions and Graphs
131
130
Rectangular Coordinate Systems
132
9
Graphs of Equations
141
16
Lines
157
18
Definition of Function
175
18
Graphs of Functions
193
16
209
15
Operations on Functions
224
11
Inverse Functions
235
10
Variation
245
16
Review Exercises
252
6
Discussion Exercises
258
3
Polynomial and Rational Functions
261
64
Polynomial Functions of Degree Greater Than 2
262
11
Properties of Division
273
8
Zeros of Polynomials
281
14
Complex and Rational Zeros of Polynomials
295
8
Rational Functions
303
22
Review Exercises
321
2
Discussion Exercises
323
2
Exponential and Logarithmic Functions
325
66
Exponential Functions
326
12
The Natural Exponential Function
338
10
Logarithmic Functions
348
16
Properties of Logarithms
364
8
Exponential and Logarithmic Equations
372
19
Review Exercises
385
3
Discussion Exercises
388
3
Systems of Equations and Inequalities
391
96
Systems of Equations
392
9
Systems of Linear Equations in Two Variables
401
9
Systems of Inequalities
410
9
Linear Programming
419
9
Systems of Linear Equations in More Than Two Variables
428
15
The Algebra of Matrices
443
10
The Inverse of a Matrix
453
7
Determinants
460
7
Properties of Determinants
467
8
Partial Fractions
475
12
Review Exercises
481
3
Discussion Exercises
484
3
Sequences, Series, and Probability
487
84
Infinite Sequences and Summation Notation
488
16
Arithmetic Sequences
504
7
Geometric Sequences
511
9
Mathematical Induction
520
7
The Binomial Theorem
527
9
Permutations
536
7
Distinguishable Permutations and Combinations
543
9
Probability
552
19
Review Exercises
565
3
Discussion Exercises
568
3
Topics from Analytic Geometry
571
40
Parabolas
572
10
Ellipses
582
14
Hyperbolas
596
15
Review Exercises
608
1
Discussion Exercises
609
2
Appendixes
611

I Common Graphs and Their Equations
612

II A Summary of Graph Transformations
614