Schaums̕ outline of college algebra

Description

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.