With a visual, graphical approach that emphasizes connections among concepts, this text helps students make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead students to the ultimate goal of mastery and success in class.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 254 mm
Breite: 202 mm
ISBN-13
978-0-321-27911-8 (9780321279118)
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 Klassifikation
Marvin Bittinger For over thirty years Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968 he has been employed as a professor of mathematics education at Indiana University - Purdue University, Indianapolis. Professor Bittinger has authored 160 publications on topics ranging from Basic Mathematics to Algebra and Trigonometry to Brief Calculus. He received his BA in Mathematics from Manchester College in 1963 and his PhD in Mathematics Education from Purdue University in 1968. Special honors include being Distinguished Visiting Professor at the United States Air Force Academy and being elected to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking, baseball, golf, and bowling and he enjoys membership in the Professional Bowler's Association and the Society for the Advancement of Baseball Research.
Professor Bittinger has also had the privilege of speaking at a recent mathematics convention giving a lecture entitled, Baseball and Mathematics. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and three grandchildren.
Judy Beecher has an undergraduate degree in mathematics fromIndiana University and a graduate degree in mathematics fromPurdue University. She has taught at both the high school and college levels with many years of developmental math and precalculusteaching experience at Indiana University Purdue University Indianapolis. Inaddition to her career in textbook publishing,she spends time reading, traveling, attending the theater, and promoting charity projects for a children's camp.
David Ellenbogen has been teaching community college mathematics for over twenty years. Born in Weehawken, New Jersey, David graduated with honors from Bates College. After teaching high school mathematics for two years, David earned a masters degree from the University of Massachusetts. He has taught at Greenfield Community College and Cape Cod Community College in Massachusetts, as well as at Saint Michaels College and The University of Vermont. For the past seven years David has been a part time lecturer for the Community College of Vermont where he has served on their statewide math curriculum committee. Currently residing in Colchester, Vermont, David enjoys playing the piano, downhill skiing, basketball, bicycling, hiking, and coaching. He has two sons and a wolf/husky hybrid.
Judy Penna received her undergraduate degree from Kansas State University in mathematics and her graduate degree from the University of Illinois in mathematics. Since then, she has taught at Indiana University Purdue University Indianapolis and at Butler University, and continues to focus on writing quality textbooks for undergraduates students taking mathematics. In her free time she likes to travel, read, knit and spend time throughout the U.S. with her husband and children.
Chapter R: Basic Concepts of Algebra R.1 The Real-Number System
R.2 Integer Exponents, Scientific Notation, and Order of Operations
R.3 Addition, Subtraction, and Multiplication of Polynomials
R.4 Factoring
R.5 Rational Expressions
R.6 Radical Notation and Rational Exponents
R.7 The Basics of Equation Solving
Chapter 1: Graphs, Functions, and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 More on Functions
1.6 The Algebra of Functions
1.7 Symmetry and Transformations
Chapter 2: Functions, Equations, and Inequalities
2.1 Linear Equations, Functions, and Models
2.2 The Complex Numbers
2.3 Quadratic Equations, Functions, and Models
2.4 Analyzing Graphs of Quadratic Functions
2.5 More Equation Solving
2.6 Solving Linear Inequalities
Chapter 3: Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Graphing Polynomial Functions
3.3 Polynomial Division; The Remainder and Factor Theorems
3.4 Theorems about Zeros of Polynomial Functions
3.5 Rational Functions
3.6 Polynomial and Rational Inequalities
3.7 Variation and Applications
Chapter 4: Exponential and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions and Graphs
4.3 Logarithmic Functions and Graphs
4.4 Properties of Logarithmic Functions
4.5 Solving Exponential and Logarithmic Equations
4.6 Applications and Models: Growth and Decay; Compound Interest
Chapter 5: The Trigonometric Functions
5.1 Trigonometric Function of Acute Angles
5.2 Applications of Right Triangles
5.3 Trigonometric Functions of Any Angle
5.4 Radians, Arc Length, and Angular Speed
5.5 Circular Functions: Graphs and Properties
5.6 Graphs of Transformed Sine and Cosine Functions
Chapter 6: Trigonometric Identities, Inverse Functions, and Equations
6.1 Identities: Pythagorean and Sum and Difference
6.2 Identities: Cofunction, Double-Angle, and Half-Angle
6.3 Proving Trigonometric Identities
6.4 Inverses of the Trigonometric Functions
6.5 Solving Trigonometric Equations
Chapter 7: Applications of Trigonometry
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Complex Numbers: Trigonometric Form
7.4 Polar Coordinates and Graphs
7.5 Vectors and Applications
7.6 Vector Operations
Chapter 8: Systems of Equations and Matrices
8.1 Systems of Equations in Two Variables
8.2 Systems of Equations in Three Variables
8.3 Matrices and Systems of Equations
8.4 Matrix Operations
8.5 Inverses of Matrices
8.6 Determinants and Cramer's Rule
8.7 Systems of Inequalities and Linear Programming
8.8 Partial Fractions
Chapter 9: Analytic Geometry Topics
9.1 The Parabola
9.2 The Circle and the Ellipse
9.3 The Hyperbola
9.4 Nonlinear Systems of Equations and Inequalities
9.5 Rotation of Axes
9.6 Polar Equations of Conics
9.7 Parametric Equations
Chapter 10: Sequences, Series, and Combinatorics
10.1 Sequences and Series
10.2 Arithmetic Sequences and Series
10.3 Geometric Sequences and Series
10.4 Mathematical Induction
10.5 Combinatorics: Permutations
10.6 Combinatorics: Combinations
10.7 The Binomial Theorem
10.8 Probability
Appendix Basic Concepts of Geometry
