by Ron Larson and Robert P. Hostetler
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Ideal for instructors who teach a precalculus level course and wish to include a comprehensive review of algebra at the beginning, this text introduces trigonometry first with a right triangle approach and then with the unit circle. As the best-selling text in the field, Algebra and Trigonometry provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution for both students and instructors.
Author Bio
Larson, Ron : The Pennsylvania State University, The Behrend College
Ron Larson received his Ph.D. in mathematics from the University of Colorado and has been a professor of mathematics at The Pennsylvania State University since 1970. He has pioneered the use of multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson has also conducted numerous seminars and in-service workshops for math teachers around the country about the use of computer technology as a teaching tool and motivational aid. His Interactive Calculus(a complete text on CD-ROM) received the 1996 Texty Award for the most innovative mathematics instructional material at the college level. It is currently the first mainstream college textbook to be offered on the Internet.
Hostetler, Robert P. : The Pennsylvania State University, The Behrend College
Bob Hostetler received his Ph.D. in Mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include Remedial Algebra, Calculus, Math Education and his research interests include mathematics education and textbooks.
P. Prerequisites
P.1 Review of Real Numbers and Their Properties
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 Graphical Representation of Data
1. Equations and Inequalities
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Shifting, Reflecting, and Stretching Graphs
2.6 Combinations of Functions
2.7 Inverse Functions
3. Polynomial Functions
3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Partial Fractions
4.4 Conics
4.5 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
6. Trigonometry
6.1 Angles and Their Measures
6.2 Right Triangle Trigonometry
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of Other Trigonometric Functions
6.6 Inverse Trigonometric Functions
6.7 Applications and Models
7. Analytic Trigonometry
7.1 Using Fundamental Identities
7.2 Verifying Trigonometric Identities
7.3 Solving Trigonometric Equations
7.4 Sum and Difference Formulas
7.5 Multiple-Angle and Product-to-Sum Formulas
8. Additional Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
8.3 Vectors in the Plane
8.4 Vectors and Dot Products
8.5 Trigonometric Form of a Complex Number
9. Systems of Equations and Inequalities
9.1 Solving Systems of Equations
9.2 Two-Variable linear Systems
9.3 Multivariable Linear Systems
9.4 Systems of Inequalities
9.5 Linear Programming
10. Matrices and Determinants
10.1 Matrices and Systems of Equations
10.2 Operations with Matrices
10.3 The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix
10.5 Applications of Matrices and Determinants
11. Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability
Ron Larson and Robert P. Hostetler
ISBN13: 978-0618317820Ideal for instructors who teach a precalculus level course and wish to include a comprehensive review of algebra at the beginning, this text introduces trigonometry first with a right triangle approach and then with the unit circle. As the best-selling text in the field, Algebra and Trigonometry provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution for both students and instructors.
Author Bio
Larson, Ron : The Pennsylvania State University, The Behrend College
Ron Larson received his Ph.D. in mathematics from the University of Colorado and has been a professor of mathematics at The Pennsylvania State University since 1970. He has pioneered the use of multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson has also conducted numerous seminars and in-service workshops for math teachers around the country about the use of computer technology as a teaching tool and motivational aid. His Interactive Calculus(a complete text on CD-ROM) received the 1996 Texty Award for the most innovative mathematics instructional material at the college level. It is currently the first mainstream college textbook to be offered on the Internet.
Hostetler, Robert P. : The Pennsylvania State University, The Behrend College
Bob Hostetler received his Ph.D. in Mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include Remedial Algebra, Calculus, Math Education and his research interests include mathematics education and textbooks.
Table of Contents
P. Prerequisites
P.1 Review of Real Numbers and Their Properties
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 Graphical Representation of Data
1. Equations and Inequalities
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Shifting, Reflecting, and Stretching Graphs
2.6 Combinations of Functions
2.7 Inverse Functions
3. Polynomial Functions
3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Partial Fractions
4.4 Conics
4.5 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
6. Trigonometry
6.1 Angles and Their Measures
6.2 Right Triangle Trigonometry
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of Other Trigonometric Functions
6.6 Inverse Trigonometric Functions
6.7 Applications and Models
7. Analytic Trigonometry
7.1 Using Fundamental Identities
7.2 Verifying Trigonometric Identities
7.3 Solving Trigonometric Equations
7.4 Sum and Difference Formulas
7.5 Multiple-Angle and Product-to-Sum Formulas
8. Additional Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
8.3 Vectors in the Plane
8.4 Vectors and Dot Products
8.5 Trigonometric Form of a Complex Number
9. Systems of Equations and Inequalities
9.1 Solving Systems of Equations
9.2 Two-Variable linear Systems
9.3 Multivariable Linear Systems
9.4 Systems of Inequalities
9.5 Linear Programming
10. Matrices and Determinants
10.1 Matrices and Systems of Equations
10.2 Operations with Matrices
10.3 The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix
10.5 Applications of Matrices and Determinants
11. Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability