Schaum's Outline of College Algebra, Fourth Edition (Schaum's Outlines)

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 Cramers̕ 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 Cramers̕ 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.;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 SlopeĮntercept form of Equation of a Line -- 14.4 SlopeP̨oint 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. 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 A B C D E F G H I L M N O P Q R S T U V Z Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. 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. Helpful tables and illustrations increase your understanding of the subject at hand. This Schaum's Outline gives you *1,940 fully solved problems *Hundreds of additional practice problems with answers *Coverage of all course concepts Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores! Schaum's Outlines--Problem Solved. -- Provided by publisher "Tough test questions? Missed lectures? Not enough time? Fortunately, there's Schaum's. This all-in-one package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring math instructors who explain how to solve the most commonly tested problems—it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. 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. Helpful tables and illustrations increase your understanding of the subject at hand."