Precalculus Graphs and Models 2nd Edition by Raymond Barnett, Michael Ziegler, Karl Byleen ISBN 978-0072424300 0072424303
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Precalculus Graphs and Models 2nd Edition by Raymond A. Barnett, Michael R. Ziegler, Karl Byleen – Ebook PDF Instant Download/Delivery: 978-0072424300, 0072424303
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Product details:
ISBN 10: 0072424303
ISBN 13: 978-0072424300
Author: Raymond A. Barnett, Michael R. Ziegler, Karl Byleen
The Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes.
A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful.
Table of contents:
1. Functions, Graphs, and Models
1.1 Using Graphing Utilities
1.2 Functions
1.3 Functions: Graphs and Properties
1.4 Functions: Graphs and Transformations
1.5 Operations on Functions; Composition
1.6 Inverse Functions
Chapter 1 Review
Chapter 1 Group Activity: Mathematical Modeling – Choosing a Long Distance Calling Plan
2. Modeling with Linear and Quadratic Functions
2.1 Linear Functions
2.2 Linear Equations and Models
2.3 Quadratic Functions
2.4 Complex Numbers
2.5 Quadratic Equations and Models
2.6 Additional Equation-Solving Techniques
2.7 Solving Inequalities
Chapter 2 Review
Chapter 2 Group Activity: Mathematical Modeling in Population Studies
Cumulative Review Exercises – Chapters 1 and 2
3. Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Real Zeros and Polynomial Inequalities
3.3 Complex Zeros and Rational Zeros of Polynomials
3.4 Rational Functions and Inequalities
Chapter 3 Review
Chapter 3 Group Activity: Interpolating Polynomials
4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Exponential Models
4.3 Logarithmic Functions
4.4 Logarithmic Models
4.5 Exponential and Logarithmic Equations
Chapter 4 Review
Chapter 4 Group Activity: Comparing Regression Models
Cumulative Review Exercises – Chapters 3 and 4
5. Trigonometric Functions
5.1 Angles and Their Measure
5.2 Trigonometric Functions: A Unit Circle Approach
5.3 Solving Right Triangles
5.4 Properties of Trigonometric Functions
5.5 More General Trigonometric Functions and Models
5.6 Inverse Trigonometric Functions
Chapter 5 Review
Chapter 5 Group Activity: A Predator–Prey Analysis Involving Mountain Lions and Deer
6. Trigonometric Identities and Conditional Equations
6.1 Basic Identities and Their Use
6.2 Sum, Difference, and Cofunction Identities
6.3 Double-Angle and Half-Angle Identities
6.4 Product-Sum and Sum-Product Identities
6.5 Trigonometric Equations
Chapter 6 Review
Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) – A Harmonic Analysis Tool
7. Additional Topics in Trigonometry
7.1 Law of Sines
7.2 Law of Cosines
7.3 Geometric Vectors
7.4 Algebraic Vectors
7.5 Polar Coordinates and Graphs
7.6 Complex Numbers in Rectangular and Polar Forms
7.7 De Moivre’s Theorem
Chapter 7 Review
Chapter 7 Group Activity: Conic Sections and Planetary Orbits
Cumulative Review Exercises – Chapters 5, 6, and 7
8. Modeling with Linear Systems
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations and Augmented Matrices
8.3 Gauss–Jordan Elimination
8.4 Systems of Linear Inequalities
8.5 Linear Programming
Chapter 8 Review
Chapter 8 Group Activity: Modeling with Systems of Linear Equations
9. Matrices and Determinants
9.1 Matrix Operations
9.2 Inverse of a Square Matrix
9.3 Matrix Equations and Systems of Linear Equations
9.4 Determinants
9.5 Properties of Determinants
9.6 Determinants and Cramer’s Rule
Chapter 9 Review
Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit
Cumulative Review Exercises – Chapters 8 and 9
10. Sequences, Induction, and Probability
10.1 Sequences and Series
10.2 Mathematical Induction
10.3 Arithmetic and Geometric Sequences
10.4 Multiplication Principle, Permutations, and Combinations
10.5 Sample Spaces and Probability
10.6 Binomial Formula
Chapter 10 Review
Chapter 10 Group Activity: Sequences Specified by Recursion Formulas
11. Additional Topics in Analytic Geometry
11.1 Conic Sections; Parabola
11.2 Ellipse
11.3 Hyperbola
11.4 Translation of Axes
11.5 Rotation of Axes
11.6 Nonlinear Systems
Chapter 11 Review
Chapter 11 Group Activity: Focal Chords
Cumulative Review Exercises – Chapters 10 and 11
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