Schaum's Outline of College Algebra

Cover
Title Page
Copyright Page
Contents
Chapter 1 Fundamental Operations with Numbers
	1.1 Four Operations
	1.2 System of Real Numbers
	1.3 Graphical Representation of Real Numbers
	1.4 Properties of Addition and Multiplication of Real Numbers
	1.5 Rules of Signs
	1.6 Exponents and Powers
	1.7 Operations with Fractions
Chapter 2 Fundamental Operations with Algebraic Expressions
	2.1 Algebraic Expressions
	2.2 Terms
	2.3 Degree
	2.4 Grouping
	2.5 Computation with Algebraic Expressions
Chapter 3 Properties of Numbers
	3.1 Sets of Numbers
	3.2 Properties
	3.3 Additional Properties
Chapter 4 Special Products
	4.1 Special Products
	4.2 Products Yielding Answers of the Form a[sup(n)]+b[sup(n)]
Chapter 5 Factoring
	5.1 Factoring
	5.2 Factorization Procedures
	5.3 Greatest Common Factor
	5.4 Least Common Multiple
Chapter 6 Fractions
	6.1 Rational Algebraic Fractions
	6.2 Operations with Algebraic Fractions
	6.3 Complex Fractions
Chapter 7 Exponents
	7.1 Positive Integral Exponent
	7.2 Negative Integral Exponent
	7.3 Roots
	7.4 Rational Exponents
	7.5 General Laws of Exponents
	7.6 Scientific Notation
Chapter 8 Radicals
	8.1 Radical Expressions
	8.2 Laws for Radicals
	8.3 Simplifying Radicals
	8.4 Operations with Radicals
	8.5 Rationalizing Binomial Denominators
Chapter 9 Simple Operations with Complex Numbers
	9.1 Complex Numbers
	9.2 Graphical Representation of Complex Numbers
	9.3 Algebraic Operations with Complex Numbers
Chapter 10 Equations in General
	10.1 Equations
	10.2 Operations Used in Transforming Equations
	10.3 Equivalent Equations
	10.4 Formulas
	10.5 Polynomial Equations
Chapter 11 Ratio, Proportion, and Variation
	11.1 Ratio
	11.2 Proportion
	11.3 Variation
	11.4 Unit Price
	11.5 Best Buy
Chapter 12 Functions and Graphs
	12.1 Variables
	12.2 Relations
	12.3 Functions
	12.4 Function Notation
	12.5 Rectangular Coordinate System
	12.6 Function of Two Variables
	12.7 Symmetry
	12.8 Shifts
	12.9 Scaling
	12.10 Using a Graphing Calculator
Chapter 13 Linear Equations in One Variable
	13.1 Linear Equations
	13.2 Literal Equations
	13.3 Word Problems
Chapter 14 Equations of Lines
	14.1 Slope of a Line
	14.2 Parallel and Perpendicular Lines
	14.3 Slope–Intercept form of Equation of a Line
	14.4 Slope–Point Form of Equation of a Line
	14.5 Two-Point Form of Equation of a Line
	14.6 Intercept Form of Equation of a Line
Chapter 15 Simultaneous Linear Equations
	15.1 Systems of Two Linear Equations
	15.2 Systems of Three Linear Equations
Chapter 16 Quadratic Equations in One Variable
	16.1 Quadratic Equations
	16.2 Methods of Solving Quadratic Equations
	16.3 Sum and Product of the Roots
	16.4 Nature of the Roots
	16.5 Radical Equations
	16.6 Quadratic-type Equations
Chapter 17 Conic Sections
	17.1 General Quadratic Equations
	17.2 Conic Sections
	17.3 Circles
	17.4 Parabolas
	17.5 Ellipses
	17.6 Hyperbolas
	17.7 Graphing Conic Sections with a Calculator
Chapter 18 Systems of Equations Involving Quadratics
	18.1 Graphical Solution
	18.2 Algebraic Solution
Chapter 19 Inequalities
	19.1 Definitions
	19.2 Principles of Inequalities
	19.3 Absolute Value Inequalities
	19.4 Higher Degree Inequalities
	19.5 Linear Inequalities in Two Variables
	19.6 Systems of Linear Inequalities
	19.7 Linear Programming
Chapter 20 Polynomial Functions
	20.1 Polynomial Equations
	20.2 Zeros of Polynomial Equations
	20.3 Solving Polynomial Equations
	20.4 Approximating Real Zeros
Chapter 21 Rational Functions
	21.1 Rational Functions
	21.2 Vertical Asymptotes
	21.3 Horizontal Asymptotes
	21.4 Graphing Rational Functions
	21.5 Graphing Rational Functions using a Graphing Calculator
Chapter 22 Sequences and Series
	22.1 Sequences
	22.2 Arithmetic Sequences
	22.3 Geometric Sequences
	22.4 Infinite Geometric Series
	22.5 Harmonic Sequences
	22.6 Means
Chapter 23 Logarithms
	23.1 Definition of a Logarithm
	23.2 Laws of Logarithms
	23.3 Common Logarithms
	23.4 Using a Common Logarithm Table
	23.5 Natural Logarithms
	23.6 Using a Natural Logarithm Table
	23.7 Finding Logarithms Using a Calculator
Chapter 24 Applications of Logarithms and Exponents
	24.1 Introduction
	24.2 Simple Interest
	24.3 Compound Interest
	24.4 Applications of Logarithms
	24.5 Applications of Exponents
Chapter 25 Permutations and Combinations
	25.1 Fundamental Counting Principle
	25.2 Permutations
	25.3 Combinations
	25.4 Using a Calculator
Chapter 26 The Binomial Theorem
	26.1 Combinatorial Notation
	26.2 Expansion of (a+x)[sup(n)]
Chapter 27 Probability
	27.1 Simple Probability
	27.2 Compound Probability
	27.3 Mathematical Expectation
	27.4 Binomial Probability
	27.5 Conditional Probability
Chapter 28 Determinants
	28.1 Determinants of Second Order
	28.2 Cramer’s Rule
	28.3 Determinants of Third Order
	28.4 Determinants of Order n
	28.5 Properties of Determinants
	28.6 Minors
	28.7 Value of a Determinant of Order n
	28.8 Cramer’s Rule for Determinants of Order n
	28.9 Homogeneous Linear Equations
Chapter 29 Matrices
	29.1 Definition of a Matrix
	29.2 Operations With Matrices
	29.3 Elementary Row Operations
	29.4 Inverse of a Matrix
	29.5 Matrix Equations
	29.6 Matrix Solution of a System of Equations
Chapter 30 Mathematical Induction
	30.1 Principle of Mathematical Induction
	30.2 Proof by Mathematical Induction
Chapter 31 Partial Fractions
	31.1 Rational Fractions
	31.2 Proper Fractions
	31.3 Partial Fractions
	31.4 Identically Equal Polynomials
	31.5 Fundamental Theorem
	31.6 Finding the Partial Fraction Decomposition
Appendix A: Table of Common Logarithms
Appendix B: Table of Natural Logarithms
Index
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