College Algebra / Edition 3

College Algebra / Edition 3

3.2 4
by Robert Moyer, Robert E. Moyer

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Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

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•Practice problems with full explanations that reinforce knowledge

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Table of Contents

Chapter 1Fundamental Operations with Numbers1
1.1Four Operations1
1.2System of Real Numbers2
1.3Graphical Representation of Real Numbers2
1.4Properties of Addition and Multiplication of Real Numbers3
1.5Rules of Signs3
1.6Exponents and Powers4
1.7Operations with Fractions4
Chapter 2Fundamental Operations with Algebraic Expressions12
2.1Algebraic Expressions12
2.5Computation with Algebraic Expressions13
Chapter 3Properties of Numbers22
3.1Sets of Numbers22
3.3Additional Properties23
Chapter 4Special Products27
4.1Special Products27
4.2Products Yielding Answers of the Form a[superscript n plus or minus]b[superscript n]28
Chapter 5Factoring32
5.2Factorization Procedures33
5.3Greatest Common Factor34
5.4Least Common Multiple34
Chapter 6Fractions41
6.1Rational Algebraic Fractions41
6.2Operations with Algebraic Fractions42
6.3Complex Fractions43
Chapter 7Exponents48
7.1Positive Integral Exponent48
7.2Negative Integral Exponent48
7.4Rational Exponents49
7.5General Laws of Exponents49
7.6Scientific Notation50
Chapter 8Radicals58
8.1Radical Expressions58
8.2Laws for Radicals58
8.3Simplifying Radicals58
8.4Operations with Radicals59
8.5Rationalizing Binomial Denominators60
Chapter 9Simple Operations with Complex Numbers67
9.1Complex Numbers67
9.2Graphical Representation of Complex Numbers67
9.3Algebraic Operations with Complex Numbers68
Chapter 10Equations in General73
10.2Operations Used in Transforming Equations73
10.3Equivalent Equations74
10.5Polynomial Equations75
Chapter 11Ratio, Proportion, and Variation81
11.4Unit Price82
11.5Best Buy82
Chapter 12Functions and Graphs89
12.4Function Notation90
12.5Rectangular Coordinate System90
12.6Function of Two Variables91
12.10Using a Graphing Calculator93
Chapter 13Linear Equations in One Variable114
13.1Linear Equations114
13.2Literal Equations114
13.3Word Problems115
Chapter 14Equations of Lines128
14.1Slope of a Line128
14.2Parallel and Perpendicular Lines129
14.3Slope-Intercept form of Equation of a Line130
14.4Slope-Point Form of Equation of a Line130
14.5Two-point Form of Equation of a Line130
14.6Intercept Form of Equation of a Line131
Chapter 15Simultaneous Linear Equations137
15.1Systems of Two Linear Equations137
15.2Systems of Three Linear Equations138
Chapter 16Quadratic Equations in One Variable150
16.1Quadratic Equations150
16.2Methods of Solving Quadratic Equations150
16.3Sum and Product of the Roots152
16.4Nature of the Roots152
16.5Radical Equations152
16.6Quadratic-type Equations153
Chapter 17Conic Sections169
17.1General Quadratic Equations169
17.2Conic Sections170
17.7Graphing Conic Sections with a Calculator180
Chapter 18Systems of Equations Involving Quadratics191
18.1Graphical Solution191
18.2Algebraic Solution191
Chapter 19Inequalities199
19.2Principles of Inequalities199
19.3Absolute Value Inequalities200
19.4Higher Degree Inequalities200
19.5Linear Inequalities in Two Variables202
19.6Systems of Linear Inequalities202
19.7Linear Programming203
Chapter 20Polynomial Functions214
20.1Polynomial Equations214
20.2Zeros of Polynomial Equations214
20.3Solving Polynomial Equations216
20.4Approximating Real Zeros218
Chapter 21Rational Functions235
21.1Rational Functions235
21.2Vertical Asymptotes235
21.3Horizontal Asymptotes235
21.4Graphing Rational Functions236
21.5Graphing Rational Functions using a Graphing Calculator238
Chapter 22Sequences and Series245
22.2Arithmetic Sequences245
22.3Geometric Sequences245
22.4Infinite Geometric Series246
22.5Harmonic Sequences246
Chapter 23Logarithms263
23.1Definition of a Logarithm263
23.2Laws of Logarithms263
23.3Common Logarithms264
23.4Using a Common Logarithm Table264
23.5Natural Logarithms265
23.6Using a Natural Logarithm Table265
23.7Finding Logarithms Using a Calculator266
Chapter 24Applications of Logarithms and Exponents276
24.2Simple Interest276
24.3Compound Interest277
24.4Applications of Logarithms278
24.5Applications of Exponents280
Chapter 25Permutations and Combinations288
25.1Fundamental Counting Principle288
25.4Using a Calculator290
Chapter 26The Binomial Theorem303
26.1Combinatorial Notation303
26.2Expansion of (a + x)[superscript n]303
Chapter 27Probability310
27.1Simple Probability310
27.2Compound Probability310
27.3Mathematical Expectation311
27.4Binomial Probability311
27.5Conditional Probability311
Chapter 28Determinants323
28.1Determinants of Second Order323
28.2Cramer's Rule323
28.3Determinants of Third Order324
28.4Determinants of Order n326
28.5Properties of Determinants327
28.7Value of a Determinant of Order n328
28.8Cramer's Rule for Determinants of Order n328
28.9Homogeneous Linear Equations329
Chapter 29Matrices349
29.1Definition of a Matrix349
29.2Operations With Matrices349
29.3Elementary Row Operations351
29.4Inverse of a Matrix352
29.5Matrix Equations353
29.6Matrix Solution of a System of Equations354
Chapter 30Mathematical Induction362
30.1Principle of Mathematical Induction362
30.2Proof by Mathematical Induction362
Chapter 31Partial Fractions368
31.1Rational Fractions368
31.2Proper Fractions368
31.3Partial Fractions368
31.4Identically Equal Polynomials369
31.5Fundamental Theorem369
31.6Finding the Partial Fraction Decomposition370
Appendix ATable of Common Logarithms375
Appendix BTable of Natural Logarithms379

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