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Respected for its detailed guidance in using technology, CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up to be used with graphing calculators that you may be using in your precalculus course. You'll appreciate that the text has also long been recognized for its careful, thorough explanations and its presentation of mathematics in an informal yet mathematically precise manner. The authors also emphasize the all-important ''why?'' of mathematics--which is addressed in both the exposition and in the exercise sets by focusing on algebraic, graphical, and numerical perspectives.
1. BASICS. The Real Number System. Special Topics: Decimal Representation of Real Numbers. Solving Equations Algebraically. Special Topics: Absolute Value Equations. Special Topics: Variation. The Coordinate Plane. Lines. Discovery Project: Modeling the Real World with Lines.
2. GRAPHS AND TECHNOLOGY. Graphs. Solving Equations Graphically and Numerically. Applications of Equations. Optimization Applications. Linear Models. Discovery Project: Supply and Demand.
3. FUNCTIONS AND GRAPHS. Functions. Function Notation. Graphs of Functions. Special Topics: Graph Reading. Graphs and Transformations. Special Topics: Symmetry. Operations on Functions. Rates of Change. Inverse Functions. Discovery Project: Feedback: Good and Bad.
4. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions. Polynomial Functions. Special Topics: Synthetic Division. Real Roots of Polynomials. Graphs of Polynomial Functions. Special Topics: Polynomial Models. Rational Functions. Special Topics: Other Rational Functions. Polynomial and Rational Inequalities. Special Topics: Absolute Value Inequalities. Complex Numbers. Theory of Equations. Discovery Project: Architectural Arches.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Radicals and Rational Exponents. Special Topics: Radical Equations. Exponential Functions. Special Topics: Compound Interest and the Number e. Common and Natural Logarithmic Functions. Properties of Logarithms. Special Topics: Logarithmic Functions to Other Bases. Algebraic Solutions of Exponential and Logarithmic Equations. Exponential, Logarithmic, and Other Models. Discovery Project: Exponential and Logistic Modeling of Diseases.
6. TRIGONOMETRIC FUNCTIONS. Angles and Their Measurement. The Sine, Cosine, and Tangent Functions. Alternate: The Sine, Cosine, and Tangent Functions. Algebra and Identities. Basic Graphs. Periodic Graphs and Simple Harmonic Motion. Special Topics: Other Trigonometric Graphs. Other Trigonometric Functions. Discovery Project: Pistons and Flywheels.
7. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Basic Identities and Proofs. Addition and Subtraction Identities. Special Topics: Lines and Angles. Other Identities. Inverse Trigonometric Functions. Trigonometric Equations. Discovery Project: The Sun and the Moon.
8. TRIANGLE TRIGONOMETRY. Trigonometric Functions of Angles. Alternate: Trigonometric Functions of Angles. Applications of Right Triangle Trigonometry. The Law of Cosines. The Law of Sines. Special Topics: The Area of a Triangle. Discovery Project: Life on a Sphere.
9. APPLICATIONS OF TRIGONOMETRY. The Complex Plane and Polar Form for Complex Numbers. DeMoivreï¿½ s Theorem and nth Roots of Complex Numbers. Vectors in the Plane. The Dot Product. Discovery Project: Surveying.
10. ANALYTIC GEOMETRY. Circles and Ellipses. Hyperbolas. Parabolas. Rotations and Second-Degree Equations. Special Topics: Rotation of Axes. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Discovery Project: Designing Machines to Make Designs.
11. SYSTEMS OF EQUATIONS. Systems of Linear Equations in Two Variables. Special Topics: Systems of Nonlinear Equations. Large Systems of Linear Equations. Matrix Methods for Square Systems. Discovery Project: Input-Output Analysis.
12. DISCRETE ALGEBRA. Sequences and Sums. Arithmetic Sequences. Geometric Sequences. Special Topics: Infinite Series. The Binomial Theorem. Mathematical Induction. Discovery Project: Taking Your Chances.
13. LIMITS AND CONTINUITY. Limits of Functions. Properties of Limits. Special Topics: The Formal Definition of Limit. Continuity. Limits Involving Infinity. Discovery Project: Black Holes.
Respected for its detailed guidance in using technology, CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up to be used with graphing calculators that you may be using in your precalculus course. You'll appreciate that the text has also long been recognized for its careful, thorough explanations and its presentation of mathematics in an informal yet mathematically precise manner. The authors also emphasize the all-important ''why?'' of mathematics--which is addressed in both the exposition and in the exercise sets by focusing on algebraic, graphical, and numerical perspectives.
Table of Contents
1. BASICS. The Real Number System. Special Topics: Decimal Representation of Real Numbers. Solving Equations Algebraically. Special Topics: Absolute Value Equations. Special Topics: Variation. The Coordinate Plane. Lines. Discovery Project: Modeling the Real World with Lines.
2. GRAPHS AND TECHNOLOGY. Graphs. Solving Equations Graphically and Numerically. Applications of Equations. Optimization Applications. Linear Models. Discovery Project: Supply and Demand.
3. FUNCTIONS AND GRAPHS. Functions. Function Notation. Graphs of Functions. Special Topics: Graph Reading. Graphs and Transformations. Special Topics: Symmetry. Operations on Functions. Rates of Change. Inverse Functions. Discovery Project: Feedback: Good and Bad.
4. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions. Polynomial Functions. Special Topics: Synthetic Division. Real Roots of Polynomials. Graphs of Polynomial Functions. Special Topics: Polynomial Models. Rational Functions. Special Topics: Other Rational Functions. Polynomial and Rational Inequalities. Special Topics: Absolute Value Inequalities. Complex Numbers. Theory of Equations. Discovery Project: Architectural Arches.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Radicals and Rational Exponents. Special Topics: Radical Equations. Exponential Functions. Special Topics: Compound Interest and the Number e. Common and Natural Logarithmic Functions. Properties of Logarithms. Special Topics: Logarithmic Functions to Other Bases. Algebraic Solutions of Exponential and Logarithmic Equations. Exponential, Logarithmic, and Other Models. Discovery Project: Exponential and Logistic Modeling of Diseases.
6. TRIGONOMETRIC FUNCTIONS. Angles and Their Measurement. The Sine, Cosine, and Tangent Functions. Alternate: The Sine, Cosine, and Tangent Functions. Algebra and Identities. Basic Graphs. Periodic Graphs and Simple Harmonic Motion. Special Topics: Other Trigonometric Graphs. Other Trigonometric Functions. Discovery Project: Pistons and Flywheels.
7. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Basic Identities and Proofs. Addition and Subtraction Identities. Special Topics: Lines and Angles. Other Identities. Inverse Trigonometric Functions. Trigonometric Equations. Discovery Project: The Sun and the Moon.
8. TRIANGLE TRIGONOMETRY. Trigonometric Functions of Angles. Alternate: Trigonometric Functions of Angles. Applications of Right Triangle Trigonometry. The Law of Cosines. The Law of Sines. Special Topics: The Area of a Triangle. Discovery Project: Life on a Sphere.
9. APPLICATIONS OF TRIGONOMETRY. The Complex Plane and Polar Form for Complex Numbers. DeMoivreï¿½ s Theorem and nth Roots of Complex Numbers. Vectors in the Plane. The Dot Product. Discovery Project: Surveying.
10. ANALYTIC GEOMETRY. Circles and Ellipses. Hyperbolas. Parabolas. Rotations and Second-Degree Equations. Special Topics: Rotation of Axes. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Discovery Project: Designing Machines to Make Designs.
11. SYSTEMS OF EQUATIONS. Systems of Linear Equations in Two Variables. Special Topics: Systems of Nonlinear Equations. Large Systems of Linear Equations. Matrix Methods for Square Systems. Discovery Project: Input-Output Analysis.
12. DISCRETE ALGEBRA. Sequences and Sums. Arithmetic Sequences. Geometric Sequences. Special Topics: Infinite Series. The Binomial Theorem. Mathematical Induction. Discovery Project: Taking Your Chances.
13. LIMITS AND CONTINUITY. Limits of Functions. Properties of Limits. Special Topics: The Formal Definition of Limit. Continuity. Limits Involving Infinity. Discovery Project: Black Holes.