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Auteur(s) : Lial, Margaret - Lial, Margaret L. - Hornsby, John - Schneider, David I. - Daniels, Callie J.Editeur : Pearson Education LimitedLangue : Anglais Parution : 01/08/2022Format : Moyen, de 350g à 1kgNombre de pages : 1232Expédition : 2574Dimensions : 27.4 x 21.4 x 4.3
ISBN : 9781292444192
Résumé :
R. Review of Basic Concepts - R-1 Fractions, Decimals, and Percents
- R-2 Sets and Real Numbers
- R-3 Real Number Operations and Properties
- R-4 Integer and Rational Exponents
- R-5 Polynomials
- R-6 Factoring Polynomials
- R-7 Rational Expressions
- R-8 Radical Expressions
1. Equations and Inequalities - 1-1 Linear Equations
- 1-2 Applications and Modeling with Linear Equations
- 1-3 Complex Numbers
- 1-4 Quadratic Equations
- 1-5 Applications and Modeling with Quadratic Equations
- 1-6 Other Types of Equations and Applications
- 1-7 Inequalities
- 1-8 Absolute Value Equations and Inequalities
2. Graphs and Functions - 2-1 Rectangular Coordinates and Graphs
- 2-2 Circles
- 2-3 Functions
- 2-4 Linear Functions
- 2-5 Equations of Lines and Linear Models
- 2-6 Graphs of Basic Functions
- 2-7 Graphing Techniques
- 2-8 Function Operations and Composition
3. Polynomial and Rational Functions - 3-1 Quadratic Functions and Models
- 3-2 Synthetic Division
- 3-3 Zeros of Polynomial Functions
- 3-4 Polynomial Functions: Graphs, Applications, and Models
- 3-5 Rational Functions: Graphs, Applications, and Models
- 3-6 Polynomial and Rational Inequalities
- 3-7 Variation
4. Inverse, Exponential, and Logarithmic Functions - 4-1 Inverse Functions
- 4-2 Exponential Functions
- 4-3 Logarithmic Functions
- 4-4 Evaluating Logarithms and the Change-of-Base Theorem
- 4-5 Exponential and Logarithmic Equations
- 4-6 Applications of Models of Exponential Growth and Decay
5. Trigonometric Functions - 5-1 Angles
- 5-2 Trigonometric Functions
- 5-3 Trigonometric Function Values and Angle Measures
- 5-4 Solutions and Applications of Right Triangles
6. The Circular Functions and Their Graphs - 6-1 Radian Measure
- 6-2 The Unit Circle and Circular Functions
- 6-3 Graphs of the Sine and Cosine Functions
- 6-4 Translations of the Graphs of the Sine and Cosine Functions
- 6-5 Graphs of the Tangent and Cotangent Functions
- 6-6 Graphs of the Secant and Cosecant Functions
- 6-7 Harmonic Motion
7. Trigonometric Identities and Equations - 7-1 Fundamental Identities
- 7-2 Verifying Trigonometric Identities
- 7-3 Sum and Difference Identities
- 7-4 Double-Angle and Half-Angle Identities
- 7-5 Inverse Circular Functions
- 7-6 Trigonometric Equations
- 7-7 Equations Involving Inverse Trigonometric Functions
8. Applications of Trigonometry - 8-1 The Law of Sines
- 8-2 The Law of Cosines
- 8-3 Geometrically Defined Vectors and Applications
- 8-4 Algebraically Defined Vectors and the Dot Product
- 8-5 Trigonometric (Polar) Form of Complex Numbers...
Biographie:
Powers and Roots of Complex Numbers 8-7 Polar Equations and Graphs 8-8 Parametric Equations, Graphs, and Applications 9. Systems and Matrices - 9-1 Systems of Linear Equations
- 9-2 Matrix Solution of Linear Systems
- 9-3 Determinant Solution of Linear Systems
- 9-4 Partial Fractions
- 9-5 Nonlinear Systems of Equations
- 9-6 Systems of Inequalities and Linear Programming
- 9-7 Properties of Matrices
- 9-8 Matrix Inverses
10. Analytic Geometry - 10-1 Parabolas
- 10-2 Ellipses
- 10-3 Hyperbolas
- 10-4 Summary of the Conic Sections
11. Further Topics in Algebra - 11-1 Sequences and Series
- 11-2 Arithmetic Sequences and Series
- 11-3 Geometric Sequences and Series
- 11-4 The Binomial Theorem
- 11-5 Mathematical Induction
- 11-6 Basics of Counting Theory
- 11-7 Basics of Probability
Appendices - A. Polar Form of Conic Sections
- B. Rotation of Axes
- C. Geometry Formulas
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Sommaire:
Products and Quotients 8-6 De Moivre's Theorem...