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Chapter R: A Review of Basic Concepts and Skills
R-1The Language, Notation, and Numbers of Mathematics
R-2Algebraic Expressions and the Properties of Real Numbers
R-3Exponents, Scientific Notation, and a Review of Polynomials
R-4Factoring Polynomials
R-5Rational Expressions
R-6Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1Linear Equations, Formulas, and Problem Solving
1-2Linear Inequalities in One Variable
1-3Absolute Value Equations and Inequalities
1-4Complex Numbers
1-5Solving Quadratic Equations
1-6Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1Rectangular Coordinates; Graphing Circles and Relations
2-2Graphs of Linear Equations
2-3Linear Equations and Rates of Change
2-4Functions, Notation, and Graphs of Functions
2-5Analyzing the Graph of a Function
2-6Toolbox Functions and Transformations
2-7Piecewise-Defined Functions
2-8The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1Quadratic Functions and Applications
3-2Synthetic Division; The Remainder and Factor Theorems
3-3The Zeroes of Polynomial Functions
3-4Graphing Polynomial Functions
3-5Graphing Rational Functions
3-6Additional Insights into Rational Functions
3-7Polynomial and Rational Inequalities
3-8Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1One-to-One and Inverse Functions
4-2Exponential Functions
4-3Logarithms and Logarithmic Functions
4-4Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1Angle Measure, Special Triangles, and Special Angles
5-2The Trigonometry of Right Triangles
5-3Trigonometry and the Coordinate Plane
5-4Unit Circles and the Trigonometric of Real Numbers
5-5Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6Graphs of Tangent and Cotangent Functions
5-7Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1Fundamental Identities and Families of Identities
6-2Constructing and Verifying Identities
6-3The Sum and Difference Identities
6-4Double Angle, Half Angle & Product-to-Sum Identities
6-5The Inverse Trigonometric Functions and Their Applications
6-6Solving Basic Trigonometric Equations
6-7General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1Oblique Triangles and the Law of Sines
7-2The Law of Cosines; Area of a Triangle
7-3Vectors and Vector Diagrams
7-4Vector Applications and the Dot Product
7-5Complex Numbers in Trigonometric Form
7-6Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1Linear Systems in Two Variables with Applications
8-2Linear Systems in Three Variables with Applications
8-3Nonlinear Systems of Equations and Inequalities
8-4Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1Solving Systems Using Matrices and Row Operations
9-2The Algebra of Matrices
9-3Solving Linear Systems Using Matrix Equations
9-4Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial TheoremSummary and Concept Review
APPENDICES
A-1More on Synthetic Division
A-2More on Matrices
A-3Deriving the Equation of a Conic
A-4Proof Positive - A Selection of Proofs from Algebra and Trigonometry
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Descrizione libro Condizione: New. Codice articolo 6162164-n
Descrizione libro Condizione: New. "Algebra and Trigonometry". BIC Classification: PBF; PBMB. Category: (UU) Undergraduate. Dimension: 281 x 221 x 43. Weight in Grams: 2677. . 2009. 2 Rev ed. Hardback. . . . . Books ship from the US and Ireland. Codice articolo V9780077276515