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A Graphical Approach to Algebra and Trigonometry

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Beschreibung

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for 0321900227 / 9780321900227 A Graphical Approach to Algebra and Trigonometry Plus MyMathLab with eText-- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321927338 / 9780321927330 A Graphical Approach to Algebra and Trigonometry MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. Hornsby/Lial/Rockswold's Graphical Approach covers functions through a consistent four part analytical process that asks students to 1) Examine the nature of the graph 2) Solve a typical equation analytically and graphically 3) Solve the related inequality analytically and graphically, and finally, 4) Apply analytic and graphical methods to solve an application of that class of function. To provide a better teaching and learning experience for both instructors and students, this program will: Improve Results with MyMathLab: MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning. Build students' analytical skills: The authors' consistent four step process helps students gain a deep visual and graphical understanding of math, solidifying a stronger connection to the mathematical world around them. The visualizations throughout the text have been enhanced to increase students' comprehension of core algebra and trigonometry concepts. Updated chapters provide students with clear explanations, examples and data: New chapter updates present explanations, exercisesand examples to ensure that students will truly comprehend and retain information.

Autorentext

 

John Hornsby: When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, all three of his goals have been realized; his love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John’s personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

 

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was most recently affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology, and trips to various digs and ruin sites produced fascinating problems for her textbooks, involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

 

Gary Rockswold has been teaching mathematics for 33 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate, and graduate students, and adult education classes. Now retired, he most recently served as professor of mathematics at Minnesota State University–Mankato. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his lovely wife and two children.

 



Klappentext

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for

0321900227 / 9780321900227 A Graphical Approach to Algebra and Trigonometry Plus MyMathLab with eText-- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321927338 / 9780321927330 A Graphical Approach to Algebra and Trigonometry

MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.

Hornsby/Lial/Rockswold's Graphical Approach covers functions through a consistent four part analytical process that asks students to 1) Examine the nature of the graph 2) Solve a typical equation analytically and graphically 3) Solve the related inequality analytically and graphically, and finally, 4) Apply analytic and graphical methods to solve an application of that class of function.

To provide a better teaching and learning experience for both instructors and students, this program will:

  • Improve Results with MyMathLab: MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning.
  • Build students' analytical skills: The authors' consistent four step process helps students gain a deep visual and graphical understanding of math, solidifying a stronger connection to the mathematical world around them.
  • The visualizations throughout the text have been enhanced to increase students' comprehension of core algebra and trigonometry concepts.
  • Updated chapters provide students with clear explanations, examples and data: New chapter updates present explanations, exercisesand examples to ensure that students will truly comprehend and retain information.



Zusammenfassung

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for

0321900227 / 9780321900227 A Graphical Approach to Algebra and Trigonometry Plus MyMathLab with eText-- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321927338 / 9780321927330 A Graphical Approach to Algebra and Trigonometry

 

MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.


Hornsby/Lial/Rockswold’s Graphical Approach covers functions through a consistent four part analytical process that asks students to 1) Examine the nature of the graph 2) Solve a typical equation analytically and graphically 3) Solve the related inequality analytically and graphically, and finally, 4) Apply analytic and graphical methods to solve an application of that class of function.

 

To provide a better teaching and learning experience for both instructors and students, this program will:

  • Improve Results with MyMathLab: MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning.
  • Build students’ analytical skills: The authors’ consistent four step process helps students gain a deep visual and graphical understanding of math, solidifying a stronger connection to the mathematical world around them.
  • The visualizations throughout the text have been enhanced to increase students’ comprehension of core algebra and trigonometry concepts.
  • Updated chapters provide students with clear explanations, examples and data: New chapter updates present explanations, exercisesand examples to ensure that students will truly comprehend and retain information.  

 



Inhalt

1. Linear Functions, Equations, and Inequalities

1.1 Real Numbers and the Rectangular Coordinate System

1.2 Introduction to Relations and Functions

1.3 Linear Functions

1.4 Equations of Lines and Linear Models

1.5 Linear Equations and Inequalities

1.6 Applications of Linear Functions

 

2. Analysis of Graphs of Functions

2.1 Graphs of Basic Functions and Relations; Symmetry

2.2 Vertical and Horizontal Shifts of Graphs

2.3 Stretching, Shrinking, and Reflecting Graphs

2.4 Absolute Value Functions

2.5 Piecewise-Defined Functions

2.6 Operations and Composition

 

3. Polynomial Functions

3.1 Complex Numbers

3.2 Quadratic Functions and Graphs

3.3 Quadratic Equations and Inequalities

3.4 Applications of Quadratic Functions and Models

3.5 Higher-Degree Polynomial Functions and Graphs

3.6 Topics in the Theory of Polynomial Functions (I)

3.7 Topics in the Theory of Polynomial Functions (II)

3.8 Polynomial Equations and Inequalities; Further Applications and Models

 

4. Rational, Power, and Root Functions

4.1 Rational Functions and Graphs I

4.2 Rational Functions and Graphs II

4.3 Rational Equations, Inequalities, Models, and Applications

4.4 Functions Defined by Powers and Roots

4.5 Equations, Inequalities, and Applications Involving Root Functions

 

5. Inverse, Exponential, and Logarithmic Functions

5.1 Inverse Functions

5.2 Exponential Functions

5.3 Logarithms and Their Properties

5.4 Logarithmic Functions

5.5 Exponential and Logarithmic Equations and Inequalities

5.6 Further Applications and Modeling with Exponential and Logarithmic Functions

 

6. Systems and Matrices

6.1 Systems of Equations

6.2 Solution of Linear Systems in Three Variables

6.3 Solution of Linear Systems by Row Transformations

6.4 Matrix Properties and Operations

6.5 Determinants and Cramer's Rule

6.6 Solution of Linear Systems by Matrix Inverses

6.7 Systems of Inequalities and Linear Programming

6.8 Partial Fractions

 

7. Analytic Geometry and Nonlinear Systems

7.1 Circles and Parabolas

7.2 Ellipses and Hyperbolas

7.3 The Conic Sections and Nonlinear Systems

7.4 Parametric Equations

 

8. Trigonometric Functions and Applications

8.1 Angles and Their Measures

8.2 Trigonometric Functions and Fundamental Identities

8.3 Right Triangles and Evaluating Trigonometric Functions

8.4 Applications of Right Triangles

8.5 The Circular Functions

8.6 Graphs of the Sine and Cosine Functions

8.7 Graphs of the Other Circular Functions

8.8 Harmonic Motion

 

9. Trigonometric Identities and Equations

9.1 Trigonometric Identities

9.2 Sum and Difference Identities

9.3 Further Identities

9.4 The Inverse Circular Functions

9.5 Trigonometric Equations and Inequalities (I)

9.6 Trigonometric Equations and Inequalities (II)

 

10. Applications of Trigonometry and Vectors

10.1 The Law of Sines

10.2 The Law of Cosines and Area Formulas

10.3 Vectors and Their Applications

10.4 Trigonometric (Polar) Form of Complex Numbers

10.5 Powers and Roots of Complex Numbers

10.6 Polar Equations and Graphs

10.7 More Parametric Equations

 

11. Further Topics in Algebra

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 Counting Theory

11.5 The Binomial Theorem

11.6 Mathematical Induction

11.7 Probability

 

R. Reference: Basic Algebraic Concepts

R.1 Review of Exponents and Polynomials

R.2 Review of Factoring

R.3 Review of Rational Expressions

R.4 Review of Negative and Rational Exponents

R.5 Review of Radicals

Produktinformationen

Titel: A Graphical Approach to Algebra and Trigonometry
Autor:
EAN: 9780321927330
ISBN: 978-0-321-92733-0
Format: Fester Einband
Anzahl Seiten: 1024
Gewicht: 2221g
Größe: H40mm x B285mm x T225mm
Jahr: 2013
Auflage: 6. Aufl.