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College Algebra and Trigonometry
ISBN-10: 0321296427
ISBN-13: 9780321296429
Publisher: Pearson
Copyright: 2008
Format: Cloth; 1168 pp
Published: 06/08/2007
We're sorry, this product is no longer available and has been replaced with College Algebra and Trigonometry, 2/E.
Please contact your Pearson rep if you are using this product and need instructor resources.
Description
Features
- Roadmap for Learning—Students see what they are going to learn, and why.
- Where they’ve been: Each section starts with Topics for Review, along with page references that show where each topic was previously covered in the text.
- Where they’re going: Clear Objectives for each section alert students to what they will be learning as they work through the material, and provide easy reference points when preparing for exams.
- Where they are now: Within the text of each section, Objectives appear next to the relevant content highlighting the specific topic being covered.
- And, why: Each section leads off with an engaging Application that is revisited later in the section both in examples and exercises, tying key ideas together and providing the answer to why each topic is being studied.
- Work It Out—To really understand, students need to put concepts to work.
- Procedures walk students through key problems. More complicated ideas are explained with Finding the Solution procedures, which provide step-by-step information in words and with mathematical symbols to fully ensure that students understand and can model on these more challenging processes.
- All examples conclude with a Practice Problem, immediately testing and reinforcing concepts as students work through each section.
- Exercises are plentiful and, to help instructors assigning homework, they are broken out into three categories: Basic Skills and Concepts, Applying the Concepts, and Beyond the Basics. The first two sections are perfect for all students, while Beyond exercises can be used with advanced students or for extra credit. Critical Thinking, Graphing Calculator, and Group Project exercises round out the practice opportunities.
- Help Along the Way—Tools and tips provide context and aid study.
- By the Way marginal notes keeps students engaged with interesting facts and information.
- Historical Notes cover people and ideas in the history and development of mathematics.
- Technology Connections, although optional, give students tips on using their calculators to check answers and reinforce concepts.
- Study Tips offer just-in-time hints on essential skills.
- Recall notes remind students of a previously-learned key idea that will help them with a current problem.
- Warnings point out commonly-made errors in thinking and calculations.
- A Solid Finish—More than review, with these chapter-ending materials students can test themselves to know whether they’ve mastered the concepts and what needs more attention.
- Summary of Definitions
- Concepts and Formulas
- Review Exercizes
- Two Practice Tests
- Cumulative Review exercises: Starting in Chapter 2, these exercises remind students that math isn’t modular. What they learn in the first part of book is the foundation for later concepts.
Table of Contents
Chapter P Basic Concepts of Algebra
P.1 The Real Numbers and their properties
P.2 Integer Exponents and Scientific Notation
P.3 Polynomials
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 Rational Exponents and Radicals
P.7 Topics in Geometry
Chapter Summary
Review Exercises
Chapter Tests
Chapter 1 Equations and Inequalities
1.1 Linear Equations in One Variable
1.2 Applications with Linear Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Solving Other Types of Equations
1.6 Linear Inequalities
1.7 Polynomial and Rational Inequalities
1.8 Equations and Inequalities involving Absolute Value
Chapter Summary
Review Exercises
Chapter Tests
Chapter 2 Graphs and Functions
2.1 The Coordinate Plane
2.2 Graphs of Equations
2.3 Lines
2.4 Relations and Functions
2.5 A Library of Functions
2.6 Transformations of Functions
2.7 Combining Functions; Composite Functions
2.8 Inverse Functions
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions
3.2 Polynomial Functions
3.3 Dividing Polynomials and Rational Zeros Test
3.4 Zeros of Polynomial Functions
3.5 Rational Functions
3.6 Variation
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 4 Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
44 Rules of Logarithms
4.5 Exponential and Logarithmic Equations
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 5 Trigonometric Functions
5.1 Angles and Their Measure
5.2 Right Triangle Trigonometry
5.3 Trigonometric Functions of Any Angle
5.4 Trigonometric Functions of General Angles
5.5 Graphs of the Sine and Cosine Functions
5.6 Graphs of the Other Trigonometric Functions
5.7 Inverse Trigonometric Functions
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 6 Analytic Trigonometry
6.1 Fundamental Trigonometric Identities
6.2 Verifying Trigonometric Identities
6.3 Trigonometric Equations
6.4 Sum and Difference Formulas
6.5 Double-Angle and Half-Angle Formulas
6.6 Product-to-Sum and Sum-to-Product Formulas
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 7 Applications of Trigonometric Functions
7.1 Law of Sines
7.2 Law of Cosines
7.3 Vectors and Dot Products
7.4 Power Equations and Graphs
7.5 Trigonometric Form of Complex Numbers
7.6 Parametric Equations
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 8 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 Partial Fraction Decomposition
8.4 Systems of Linear Inequalities; Linear Programming
8.5 Nonlinear Systems of Equations and Inequalities
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 9 Matrices and Determinants
9.1 Matrices and Systems of Equations
9.2 Matrix Algebra
9.3 The Matrix Inverse
9.4 Determinants and Cramer’s Rule
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 10 Conics
10.1 Conic Sections: Overview
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Chapter 11 Topics in Algebra
11.1 Sequences and Series
11.2 Arithmetic Sequences; Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability
Chapter Summary
Review Exercises
Chapter Tests
Cumulative Review Exercises
Author Bios
J.S.Ratti Dr. Ratti has been teaching mathematics at all levels for over 35 years. He is currently a full professor of mathematics and director of the "Center for Mathematical Services" at the University of South Florida. Professor Ratti is the author of numerous research papers in analysis, graph theory, and probability. He has won several awards for excellence in undergraduate teaching at University of South Florida and known as the coauthor of a successful finite mathematics textbook.
Marcus McWaters Dr. McWaters is currently the chair of the Mathematics Department at the University of South Florida, a position he has held for the last eight years. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. As chair, he has worked intensively to structure a course delivery system for lower level courses that would improve the low retention rate these courses experience across the country. When not involved with mathematics or administrative activity, he enjoys playing racquetball, spending time with his two daughters, and traveling the world with his wife.
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