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Pearson Precalculus Graphical Numerical Algebraic, 2010
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Pearson Education
Pearson Precalculus Graphical Numerical Algebraic, 2010
Publisher: Pearson Education
ISBN: 9780131369061
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P
Chapter P
Prerequisites
p. 9-62
P.1
Real Numbers
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p. 9-62
P.2
Cartesian Coordinate System
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P.3
Linear Equations and Inequalities
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P.4
Lines in the Plane
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P.5
Solving Equations Graphically, Numerically, and Algebraically
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p. 9-62
P.6
Complex Numbers
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P.7
Solving Inequalities Algebraically and Graphically
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P.
Review Exercises
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1
Chapter 1
Functions and Graphs
p. 66-156
1.1
Modeling and Equation Solving
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1.2
Function and Their Properties
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1.3
Twelve Basic Functions
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1.4
Building Functions from Functions
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1.5
Parametric Relations and Inverses
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1.6
Graphical Transformations
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1.7
Modeling with Functions
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1.
Review Exercises
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1.
Project
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2
Chapter 2
Polynomial, Power, and Rational Functions
p. 160-250
2.1
Linear and Quadratic Functions and Modeling
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p. 160-250
2.2
Power Functions with Modeling
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p. 160-250
2.3
Polynomial Functions of Higher Degree with Modeling
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2.4
Real Zeros of Polynomial Functions
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p. 160-250
2.5
Complex Zeros and the Fundamental Theorem of Algebra
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p. 160-250
2.6
Graphs of Rational Functions
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p. 160-250
2.7
Solving Equations in One Variable
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p. 160-250
2.8
Solving Inequalities in One Variable
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2.
Review Exercises
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p. 160-250
2.
Project
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3
Chapter 3
Exponential, Logistic, and Logarithmic Functions
p. 255-318
3.1
Exponential and Logistic Functions
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p. 255-318
3.2
Exponential and Logistic Modeling
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3.3
Logarithmic Functions and Their Graphs
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3.4
Properties of Logarithmic Functions
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3.5
Equation Solving and Modeling
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3.6
Mathematics of Finance
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3.
Review Exercises
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3.
Project
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4
Chapter 4
Trigonometric Functions
p. 321-402
4.1
Angles and Their Measures
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p. 321-402
4.2
Trigonometric Functions of Acute Angles
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p. 321-402
4.3
Trigonometry Extended: The Circular Functions
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p. 321-402
4.4
Graphs of Sine and Cosine: Sinusoids
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p. 321-402
4.5
Graphs of Tangent, Cotangent, Secant, and Cosecant
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4.6
Graphs of Composite Trigonometric Functions
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4.7
Inverse Trigonometric Functions
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4.8
Solving Problems with Trigonometry
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p. 321-402
4.
Review Exercises
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4.
Project
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5
Chapter 5
Analytic Trigonometry
p. 405-454
5.1
Fundamental Identities
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p. 405-454
5.2
Proving Trigonometric Identities
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p. 405-454
5.3
Sum and Difference Identities
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p. 405-454
5.4
Multiple-Angle Identities
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5.5
The Law of Sines
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5.6
The Law of Cosines
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5.
Review Exercises
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5.
Project
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6
Chapter 6
Applications of Trigonometry
p. 457-517
6.1
Vectors in the Plane
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6.2
Dot Product of Vectors
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6.3
Parametric Equations and Motion
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6.4
Polar Coordinates
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6.5
Graphs of Polar Equations
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6.6
De Moivre's Theorem and nth Roots
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6.
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6.
Project
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7
Chapter 7
Systems and Matrices
p. 522-577
7.1
Solving Systems of Two Equations
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7.2
Matrix Algebra
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7.3
Multivariate Linear Systems and Row Operations
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7.4
Partial Fractions
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7.5
Systems of Inequalities in Two Variables
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7.
Review Exercises
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7.
Project
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8
Chapter 8
Analytic Geometry in Two and Three Dimensions
p. 582-640
8.1
Conic Sections and Parabolas
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8.2
Ellipses
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8.3
Hyperbolas
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8.4
Translation and Rotation of Axes
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8.5
Polar Equations of Conics
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8.6
Three-Dimensional Cartesian Coordinate System
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8.
Review Exercises
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8.
Project
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9
Chapter 9
Discrete Mathematics
p. 643-732
9.1
Basic Combinatorics
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9.2
The Binomial Theorem
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9.3
Probability
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9.4
Sequences
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9.5
Series
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9.6
Mathematical Induction
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9.7
Statistics and Data(Graphical)
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9.8
Statistics and Data(Algebraic)
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9.9
Statistical Literacy
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9.
Review Exercises
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10
Chapter 10
An Introduction to Calculus: Limits, Derivatives, and Integrals
p. 739-777
10.1
Limits and Motion: The Tangent Problem
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10.2
Limits and Motion: The Area Problem
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10.3
More on Limits
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10.4
Numerical Derivatives and Integrals
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10.
Review Exercises
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10.
Project
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A
Chapter A
Appendix A
p. 782-795
A.1
Radicals and Rational Exponents
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p. 782-795
A.2
Polynomials and Factoring
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p. 782-795
A.3
Fractional Expressions
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C
Chapter C
Appendix C
p. 805-813
C.1
Logic: An Introduction
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p. 805-813
C.2
Conditionals and Biconditionals
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Links
expand_more
Prerequisites
Real Numbers
Cartesian Coordinate System
Linear Equations and Inequalities
Lines in the Plane
Solving Equations Graphically, Numerically, and Algebraically
Complex Numbers
Solving Inequalities Algebraically and Graphically
Review Exercises
Functions and Graphs
Modeling and Equation Solving
Function and Their Properties
Twelve Basic Functions
Building Functions from Functions
Parametric Relations and Inverses
Graphical Transformations
Modeling with Functions
Review Exercises
Project
Polynomial, Power, and Rational Functions
Linear and Quadratic Functions and Modeling
Power Functions with Modeling
Polynomial Functions of Higher Degree with Modeling
Real Zeros of Polynomial Functions
Complex Zeros and the Fundamental Theorem of Algebra
Graphs of Rational Functions
Solving Equations in One Variable
Solving Inequalities in One Variable
Review Exercises
Project
Exponential, Logistic, and Logarithmic Functions
Exponential and Logistic Functions
Exponential and Logistic Modeling
Logarithmic Functions and Their Graphs
Properties of Logarithmic Functions
Equation Solving and Modeling
Mathematics of Finance
Review Exercises
Project
Trigonometric Functions
Angles and Their Measures
Trigonometric Functions of Acute Angles
Trigonometry Extended: The Circular Functions
Graphs of Sine and Cosine: Sinusoids
Graphs of Tangent, Cotangent, Secant, and Cosecant
Graphs of Composite Trigonometric Functions
Inverse Trigonometric Functions
Solving Problems with Trigonometry
Review Exercises
Project
Analytic Trigonometry
Fundamental Identities
Proving Trigonometric Identities
Sum and Difference Identities
Multiple-Angle Identities
The Law of Sines
The Law of Cosines
Review Exercises
Project
Applications of Trigonometry
Vectors in the Plane
Dot Product of Vectors
Parametric Equations and Motion
Polar Coordinates
Graphs of Polar Equations
De Moivre's Theorem and nth Roots
Review Exercises
Project
Systems and Matrices
Solving Systems of Two Equations
Matrix Algebra
Multivariate Linear Systems and Row Operations
Partial Fractions
Systems of Inequalities in Two Variables
Review Exercises
Project
Analytic Geometry in Two and Three Dimensions
Conic Sections and Parabolas
Ellipses
Hyperbolas
Translation and Rotation of Axes
Polar Equations of Conics
Three-Dimensional Cartesian Coordinate System
Review Exercises
Project
Discrete Mathematics
Basic Combinatorics
The Binomial Theorem
Probability
Sequences
Series
Mathematical Induction
Statistics and Data(Graphical)
Statistics and Data(Algebraic)
Statistical Literacy
Review Exercises
An Introduction to Calculus: Limits, Derivatives, and Integrals
Limits and Motion: The Tangent Problem
Limits and Motion: The Area Problem
More on Limits
Numerical Derivatives and Integrals
Review Exercises
Project
Appendix A
Radicals and Rational Exponents
Polynomials and Factoring
Fractional Expressions
Appendix C
Logic: An Introduction
Conditionals and Biconditionals
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