College Algebra and Trigonometry
Published on 13. August 2007
Book
Hardback
1168 pages
978-0-321-29642-9 (ISBN)
Description
Ratti and McWaters write at a level that professors want and in a way that will engage students. Included are relevant and interesting applications; clear, helpful examples; and lots and lots of exercises--all the tools that you and your students need to succeed.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 260 mm
Width: 259 mm
Thickness: 41 mm
Weight
2340 gr
ISBN-13
978-0-321-29642-9 (9780321296429)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
08/2011
2nd Edition
Pearson
€174.54
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Persons
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.
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.
Content
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
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