Precalculus: Graphs & Models – R. Barnett, M. Ziegler, K. Byleen – 3rd Edition

Description

Barnett Series Graphs and Models in algebra and pre-calculus maximize student understanding, especially in this text; emphasizing calculus skills, in the real world, with data analysis, modeling and problem solving, rather than the typical mathematical theory.
  Many of the examples include algebraic and graphical solutions, and each is followed by a matching problem, for the student to work on what is learned. This active participation in the learning process helps students develop a deeper understanding of concepts and processes.

Table of Contents

CHAPTER 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 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 3 POLYNOMIAL AND RATIONAL FUNCTIONS
3-1 Polynomial Functions And Models
3-2 Polynomial Division
3-3 Real Zeros and Polynomial Inequalities
3-4 Complex Zeros and Rational Zeros of Polynomials
3-5 Rational Functions and Inequalities
3-6 Variation and Modeling

CHAPTER 4 MODELING WITH 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 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 and Models
5-6 Inverse Trigonometric Functions

CHAPTER 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 7 ADDITIONAL TOPICS IN TRIGONOMETRY
7-1 Law of Sines
7-2 Law of Cosines
7-3 Vectors in the Plane
7-4 Polar Coordinates and Graphs
7-5 Complex Numbers and De Moivre's Theorem

CHAPTER 8 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES
8-1 Systems of Linear Equations in Two Variables
8-2 Systems of Linear Equations in Three Variables
8-3 Systems of Linear Inequalities
8-4 Linear Programming

CHAPTER 9 MATRICES AND DETERMINANTS
9-1 Matrix Solutions to Linear Systems
9-2 Matrix Operations
9-3 Inverse of a Square Matrix
9-4 Matrix Equations and Systems of Linear Equations
9-5 Determinants
9-6 Properties of Determinants
9-7 Determinants and Cramer's Rule

CHAPTER 10 SEQUENCES, INDUCTION, 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

11 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
11-1 Conic Sections; Parabola
11-2 Ellipse
11-3 Hyperbola
11-4 Translation and Rotation of Axes
11-5 Systems of Nonlinear Equations

Leave us a comment No Comments


  Subscribe  
Notify of