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Addison-Wesley / Prentice Hall

Mathematics

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Precalculus
Judith A. Beecher, Indiana University Purdue University Indianapolis
Judith A. Penna, Indiana University Purdue University Indianapolis
Marvin L. Bittinger, Indiana University Purdue University Indianapolis

ISBN-10: 0201742446
ISBN-13: 9780201742442

Publisher: Addison-Wesley
Copyright: 2002
Format: Cloth; 880 pp
Published: 12/12/2001

This item has been replaced by Precalculus, 3/E.

The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic-visual side-by-sides, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution.

In addition to helping students visualize the math with the side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros, and solutions, both visually and algebraically.

Leading Features

Functions Early and Integrated—This is the only non-graphing calculator required book on the market that introduces functions in Chapter 1 and thus sets BPB apart.

Algebraic and Visual Side-by-Sides—Examples are worked out both algebraically and visually to increase student understanding of the concepts. Additionally, seeing these side-by-sides helps students make the connection between the algebraic manipulation and the concept at large.

Zeros, Solutions, and x-Intercepts Theme—This theme allows students to reach a new level of mathematical comprehension through connecting the concepts of:
- the real zeros of the function
- the solutions of the associated equation, and
- the x-coordinates of the x-intercept of the graph of the function.

Technology Connection—Throughout each chapter, optional Technology Connection feature guides students in the use of the graphing calculator as another way to solve problems.

Review Icon—This provides the student with a reference to a related section. The student can then go there to review a concept being used in the current section.

Study Tips—Consists of occasional, brief reminders in the margin which promote effective study habits.

Connecting the Concepts—Comprehension is streamlined and retention is maximized when the student views a concept in visual, rather than paragraph, form. Combining design (usually in outline or chart form) and art, this feature highlights the importance of connecting concepts. Its visual aspect invites the student to stop and check that he or she has understood how the concepts of a section or several sections work together. The increased understanding gained from this feature increases student success with overall comprehension and retention.

Discussion and Writing / Skill Maintenance / Synthesis Exercises Discussion and Writing exercises foster critical thinking and writing skills; they may also be discussed in class or completed by small groups for collaborative learning. Skill Maintenance exercises review and reinforce skills that were studied in earlier sections (answers for all of these exercises will appear in the text answer section along with section references). Synthesis exercises require additional thought and encourage students to take the material one step further by combining concepts.

R. Basic Concepts of Algebra.

The Real-Number System.

Integer Exponents, Scientific Notation, and Order of Operations.

Addition, Subtraction, and Multiplication of Polynomials.

Factoring.

Rational Expressions.

Radical Notation and Rational Exponents.

1. Graphs, Functions, and Models.

Introduction to Graphing.

Functions and Graphs.

Linear Functions, Slope, and Applications.

Equations of Lines and Modeling.

More on Functions.

Symmetry and Transformations.

2. Functions, Equations, and Inequalities.

Linear Equations, Functions, and Models.

The Complex Numbers.

Quadratic Equations, Functions, and Models.

Analyzing Graphs of Quadratic Equations.

More Equation Solving.

Solving Linear Inequalities.

3. Polynomial and Rational Functions.

Polynomial Functions and Models.

Polynomial Division; The Remainder and Factor Theorems.

Theorems about Zeros of Polynomial Functions.

Rational Functions.

Polynomial and Rational Inequalities.

Variation and Applications.

4. Exponential and Logarithmic Functions.

Composite and Inverse Functions.

Exponential Functions and Graphs.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.

5. The Trigonometric Functions.

Trigonometric Functions of Acute Angles.

Applications of Right Triangles.

Trigonometric Functions of Any Angle.

Radians, Arc Length, and Angular Speed.

Circular Functions: Graphs and Properties.

Graphs of Transformed Sine and Cosine Functions.

6. Trigonometric Identities, Inverse Functions, and Equations.

Identities: Pythagorean and Sum and Difference.

Identities: Cofunction, Double-Angle, and Half-Angle.

Proving Trigonometric Identities.

Inverses of the Trigonometric Functions.

Solving Trigonometric Equations.

7. Applications of Trigonometry.

The Law of Sines.

The Law of Cosines.

Complex Numbers: Trigonometric Form.

Polar Coordinates and Graphs.

Vectors and Applications.

Vector Operations.

8. Systems of Equations and Matrices.

Systems of Equations in Two Variables.

Systems of Equations in Three Variables.

Matrices and Systems of Equations.

Matrix Operations.

Inverses of Matrices.

Determinants and Cramer's Rule.

Systems of Inequalities and Linear Programming.

Partial Fractions.

9. Conic Sections.

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.

10. Sequences, Series, and Combinatorics.

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Mathematical Induction.

Combinatorics: Permutations.

Combinatorics: Combinations.

The Binomial Theorem.

Probability.

Precalculus Mathematics (Mathematics)

Precalculus, 3/E
Beecher, Penna & Bittinger
©2008 | Addison-Wesley | Cloth; 1072 pp | Instock
ISBN-10: 0321460065 | ISBN-13: 9780321460066
Brief Description | Buy from myPearsonStore

These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

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Graphing Calculator Tutorial CD
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Interwrite Personal Response System
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Pearson TI Rebate Coupon $15, 2/E
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Precalculus plus MyMathLab Student Package
Beecher, Penna & Bittinger
©2002 | Addison-Wesley | Paper Package | Instock
ISBN-10: 0321201051 | ISBN-13: 9780321201058

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.