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Détails
| Genre/forme : | Textbooks |
|---|---|
| Format : | Livre |
| Tous les auteurs / collaborateurs : |
Marvin L Bittinger; et al |
| ISBN : | 9780321501127 0321501128 9780321501516 0321501519 0321501500 9780321501509 |
| Numéro OCLC : | 174138994 |
| Notes : | Includes indexes. |
| Description : | xxv, 994, [107] p. : ill. (some col.) ; 27 cm. |
| Contenu : | Chapter R Basic Concepts of Algebra R.1 The Real-Number System R.2 Integer Exponents, Scientific Notation, and Order of Operations R.3 Addition, Subtraction, and Multiplication of Polynomials R.4 Factoring R.5 The Basics of Equation Solving R.6 Rational Expressions R.7 Radical Notation and Rational Exponents Chapter 1 Graphs, Functions, and Models 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications 1.4 Equations of Lines and Modeling 1.5 Linear Equations, Functions, Zeros, and Models 1.6 Solving Linear Inequalities Chapter 2 More on Functions 2.1 Increasing, Decreasing, and Piecewise Functions; Applications 2.2 The Algebra of Functions 2.3 The Composition of Functions 2.4 Symmetry and Transformations 2.5 Variation and Applications Chapter 3 Quadratic Functions and Equations; Inequalities 3.1 The Complex Numbers 3.2 Quadratic Equations, Functions, Zeros, and Models 3.3 Analyzing Graphs of Quadratic Functions 3.4 Solving Rational and Radical Equations 3.5 Solving Absolute Value Equations and Inequalities Chapter 4 Polynomial And Rational Functions 4.1 Polynomial Functions and Modeling 4.2 Graphing Polynomial Functions 4.3 Polynomial Division; The Remainder and Factor Theorems 4.4 Theorems about Zeros of Polynomial Functions 4.5 Rational Functions 4.6 Polynomial and Rational Inequalities Chapter 5 Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3 Logarithmic Functions and Graphs 5.4 Properties of Logarithmic Functions 5.5 Solving Exponential and Logarithmic Equations 5.6 Applications and Models: Growth and Decay; Compound Interest Chapter 6 The Trigonometric Functions 6.1 Trigonometric Functions of Acute Angles 6.2 Applications of Right Triangles 6.3 Trigonometric Functions of Any Angle 6.4 Radians, Arc Length, and Angular Speed 6.5 Circular Functions: Graphs and Properties 6.6 Graphs of Transformed Sine and Cosine Functions Chapter 7 Trigonometric Identities, Inverse Functions, and Equations 7.1 Identities: Pythagorean and Sum and Difference 7.2 Identities: Cofunction, Double-Angle, and Half-Angle 7.3 Proving Trigonometric Identities 7.4 Inverses of the Trigonometric Functions 7.5 Solving Trigonometric Equations Chapter 8 Applications of Trigonometry 8.1 The Law of Sines 8.2 The Law of Cosines 8.3 Complex Numbers: Trigonometric Form 8.4 Polar Coordinates and Graphs 8.5 Vectors and Applications 8.6 Vector Operations Chapter 9 Systems of Equations and Matrices 9.1 Systems of Equations in Two Variables 9.2 Systems of Equations in Three Variables 9.3 Matrices and Systems of Equations 9.4 Matrix Operations 9.5 Inverses of Matrices 9.6 Determinants and Cramer's Rule 9.7 Systems of Inequalities and Linear Programming 9.8 Partial Fractions Chapter 10 Conic Sections 10.1 The Parabola 10.2 The Circle and the Eclipse 10.3 The Hyperbola 10.4 Nonlinear Systems of Equations and Inequalities 10.5 Rotation of Axes 10.6 Polar Equations of Conics 10.7 Parametric Equations Chapter 11 Sequences, Series, and Combinatorics 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 Mathematical Induction 11.5 Combinatorics: Permutations 11.6 Combinatorics: Combinations 11.7 The Binomial Theorem 11.8 Probability Appendix Basic Concepts from Geometry |
| Responsabilité : | Marvin L. Bittinger ... [et al.]. |
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