MyLab Math with Pearson eText (up to 18-weeks) Access Code for Elementary and Intermediate Algebra

Concepts and Applications

Marvin Bittinger, David Ellenbogen, Barbara Johnson (Autoren)

Freischaltcode

2023 | 8th edition
Pearson (Hersteller)
978-0-13-811200-4 (ISBN)

Infos

Elementary & Intermediate Algebra: Concepts and Applications helps you understand and apply mathematical concepts, preparing you to transition from skills-based math to the more concept-oriented math you'll need for college-level courses. The authors' approach encourages the critical-thinking skills needed to achieve this: the ability to reason mathematically, communicate mathematically, and identify/solve mathematical problems.

The 8th Edition features carefully reviewed and revised narrative, examples and exercises. Abundant new features include more resources for review and preparation, while maintaining the strong emphasis on critical thinking and making connections between concepts.

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Autor

About our authors Marvin Bittinger has taught math at the university level for more than 38 years, and he is now professor emeritus of mathematics education at Indiana University - Purdue University. Professor Bittinger has authored numerous textbooks on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy. His hobbies include hiking in Utah, baseball, golf and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, particularly in apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 granddaughters. David Ellenbogen has taught math at the college level for nearly 30 years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has taught at St. Michael's College and The University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two-Year Colleges (AMATYC) since 1985, having served on its Developmental Mathematics Committee and as a delegate. He has been a member of the Mathematical Association of America (MAA) since 1979. He has authored dozens of texts on topics ranging from prealgebra to calculus and has delivered lectures on the use of language in mathematics. Professor Ellenbogen received his bachelor's degree in mathematics from Bates College and his master's degree in community college mathematics education from The University of Massachusetts - Amherst. In his spare time, he enjoys playing piano, biking, hiking, skiing and volunteer work. He currently serves on the boards of the Vermont Sierra Club and the Vermont Bicycle Pedestrian Coalition. He has 2 sons, Monroe and Zachary. Barbara Johnson has taught math at the college and high school level for nearly 40 years. She is currently a lecturer in the Department of Mathematical Sciences at Indiana University - Purdue University Indianapolis, where she also serves as coordinator for the Mathematics for Elementary Teachers course sequence. She received her BS in mathematics from Bob Jones University, her MS in mathematics from Clemson University, and her PhD in Educational Studies from Ball State University. Dr. Johnson's research focuses on affect in mathematics education. Her other interests include gardening, karate and hiking. She lives in central Indiana with her husband Jeff, and has 5 children and 3 grandchildren.

Inhalt

J. Just-in-Time Review
J.1 Prime Factorizations
J.2 Greatest Common Factor
J.3 Least Common Multiple
J.4 Equivalent Expressions and Fraction Notation
J.5 Mixed Numerals
J.6 Converting from Decimal Notation to Fraction Notation
J.7 Adding and Subtracting Decimal Notation
J.8 Multiplying and Dividing Decimal Notation
J.9 Converting from Fraction Notation to Decimal Notation
J.10 Rounding with Decimal Notation
J.11 Converting between Percent Notation and Decimal Notation
J.12 Converting between Percent Notation and Fraction Notation
J.13 Order of Operations J
J.14 Unit Conversion



1. Introduction to Algebraic Expressions
1.1 Introduction to Algebra
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Real Numbers
Exploring the Concept
Mid-Chapter Review
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
Connecting the Concepts
1.8 Exponential Notation and Order of Operations
Translating for Success
Collaborative Activities
Study Summary
Review Exercises
Test



2. Equations, Inequalities, and Problem Solving
2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
Mid-Chapter Review
2.4 Applications with Percent
2.5 Problem Solving
2.6 Solving Inequalities
Exploring the Concept
Connecting the Concepts
2.7 Solving Applications with Inequalities
Translating for Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-2



3. Introduction to Graphing
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Linear Equations
3.3 Graphing and Intercepts
3.4 Rates
3.5 Slope
Mid-Chapter Review
3.6 Slope–Intercept Form
3.7 Point–Slope Form and Equations of Lines
Connecting the Concepts
Visualizing for Success
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-3



4. Polynomials
4.1 Exponents and Their Properties
4.2 Negative Exponents and Scientific Notation
Connecting the Concepts
4.3 Polynomials
4.4 Addition and Subtraction of Polynomials
Mid-Chapter Review
4.5 Multiplication of Polynomials
4.6 Special Products
Exploring the Concept
4.7 Polynomials in Several Variables
4.8 Division of Polynomials
Visualizing for Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-4



5. Polynomials and Factoring
5.1 Introduction to Factoring
5.2 Factoring Trinomials of the Type x2 + bx + c
5.3 Factoring Trinomials of the Type ax2 + bx + c
5.4 Factoring Perfect-Square Trinomials and Differences of Squares
Mid-Chapter Review
5.5 Factoring Sums or Differences of Cubes
5.6 Factoring: A General Strategy
5.7 Solving Quadratic Equations by Factoring
Exploring the Concept
Connecting the Concepts
5.8 Solving Applications
Translating for Success
Collaborative Activity
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-5



6. Rational Expressions and Equations
6.1 Rational Expressions
6.2 Multiplication and Division
6.3 Addition, Subtraction, and Least Common Denominators
6.4 Addition and Subtraction with Unlike Denominators
Mid-Chapter Review
6.5 Complex Rational Expressions
6.6 Rational Equations
Solving Rational Equations
Connecting the Concepts
6.7 Applications Using Rational Equation and Proportions
Exploring the Concept
Translating for Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-6



7. Functions and Graphs
7.1 Introduction to Functions
7.2 Domain and Range
Connecting the Concepts
7.3 Graphs of Functions
Mid-Chapter Review
7.4 The Algebra of Functions
7.5 Formulas, Applications, and Variation
Visualizing for Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-7



8. Systems of Linear Equations and Problem Solving
8.1 Systems of Equations in Two Variables
Algebraic Graphical Connection
8.2 Solving by Substitution or Elimination
Connecting the Concepts
8.3 Solving Applications: Systems of Two Equations
Exploring the Concept
8.4 Systems of Equations in Three Variables
Mid-Chapter Review
8.5 Solving Applications: Systems of Three Equations
8.6 Matrices
8.7 Elimination Using Matrices
8.8 Determinants and Cramer's Rule
8.9 Business and Economics Applications
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-8



9. Inequalities and Problem Solving
9.1 Inequalities and Applications
9.2 Intersections, Unions, and Compound Inequalities
9.3 Absolute-Value Equations and Inequalities
Exploring the Concept
Mid-Chapter Review
9.4 Inequalities in Two Variables
Connecting the Concepts
9.5 Applications Using Linear Programming
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-9



10. Exponents and Radicals
10.1 Radical Expressions and Functions
10.2 Rational Numbers as Exponents
10.3 Multiplying Radical Expressions
10.4 Dividing Radical Expressions
10.5 Expressions Containing Several Radical Terms
Connecting the Concepts
Mid-Chapter Review
10.6 Solving Radical Equations
10.7 The Distance Formula, the Midpoint Formula, and Other Applications
10.8 The Complex Numbers
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-10



11. Quadratic Functions and Equations
11.1 Quadratic Equations
Algebraic Graphical Connection
11.2 The Quadratic Formula
Connecting the Concepts
11.3 Studying Solutions of Quadratic Equations
11.4 Applications Involving Quadratic Equations
11.5 Equations Reducible to Quadratic
Mid-Chapter Review
11.6 Quadratic Functions and Their Graphs
Exploring the Concept
11.7 More About Graphing Quadratic Functions
Algebraic Graphical Connection
1.8 Problem Solving and Quadratic Functions
11.9 Polynomial Inequalities and Rational Inequalities
Algebraic Graphical Connection
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-11



12. Exponential Functions and Logarithmic Functions
12.1 Composite Functions and Inverse Functions
Exploring the Concept
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
Mid-Chapter Review
12.5 Common Logarithms and Natural Logarithms
12.6 Solving Exponential Equations and Logarithmic Equations
Connecting the Concepts
12.7 Applications of Exponential Functions and Logarithmic Functions
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-12



13. Conic Sections
13.1 Conic Sections: Parabolas and Circles
13.2 Conic Sections: Ellipses
13.3 Conic Sections: Hyperbolas
Exploring the Concept
Connecting the Concepts
Mid-Chapter Review
13.4 Nonlinear Systems of Equations
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-13<



14. Sequences, Series, and the Binomial Theorem
14.1 Sequences and Series
14.2 Arithmetic Sequences and Series
14.3 Geometric Sequences and Series
Exploring the Concept
Connecting the Concepts
Mid-Chapter Review
14.4 The Binomial Theorem
Visualizing For Success
Collaborative Activity
Decision-Making Connection
Study Summary
Review Exercises
Test
Cumulative Review: Chapters 1-14



R. Elementary Algebra Review
R.1 Introduction to Algebraic Expressions
R.2 Equations, Inequalities, and Problem Solving
R.3 Introduction to Graphing
R.4 Polynomials
R.5 Polynomials and Factoring
R.6 Rational Expressions and Equations



Appendixes
A. Mean, Median, and Mode
B. Sets
C. Synthetic Division and the Remainder Theorem

Photo Credits Answer Glossary Index Index of Applications

Produkt-Details

• Erscheint lt. Verlag: 1.11.2023
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• ISBN-10: 0-13-811200-2 / 0138112002
• ISBN-13: 978-0-13-811200-4 / 9780138112004
• Zustand: Neuware