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Overview
Engage your students and prepare them for success in your course and beyond with the student-focused approach of Ron Larson and WebAssign. Updated and refined through learning design principles, the 11th edition removes barriers to learning and offers a carefully planned and inclusive experience for all students. Larson presents concepts clearly and offers a wealth of learning support, including free text-specific tutorial support at CalcView.com and CalcChat.com. Students facing readiness gaps will overcome them with new “Review & Refresh” exercises and WebAssign support (A corequisite version is also available). Taking their understanding to the next level, students apply mathematical concepts with new “Exploring the Concepts” sections, “How Do You See It?” exercises, and Explore It interactive learning modules.
- NEW Review & Refresh exercises–cumulative review exercises from current or prerequisite courses within each section exercise set–prepare students for the next section and provide a general skill review throughout the text.
- NEW Skills Refresher videos provide timely support by covering previously learned skills that students need to better understand a concept, example, or definition.
- NEW Exploring the Concepts sections, Vocabulary and Concept Checks build student confidence and develop conceptual understanding.
- REVISED Summary and Study Strategies help students succeed in the course by offering explanations and examples of both the key objectives and essential study skills for each chapter.
- WebAssign provides instructors with the tools needed to build students’ confidence and elevate their performance. WebAssign offers built-in flexibility and control for instructors with high quality content that students can afford.
- Text-specific tutorial videos at Larson’s CalcView.com provide instruction with stepped-out solutions for selected exercises.
- Learning support at Larson’s CalcChat.com provides students with free online tutoring and solutions to all odd-numbered problems.
- How Do You See It? exercises in every section present real-life problems that students solve by visual inspection using the concepts in the lesson.
- Side-By-Side Examples help students see not only that a problem can be solved in more than one way but also how different methods--algebraic, graphical, and numerical--yield the same result. The side-by-side format also addresses many different learning styles.
- Algebra of Calculus examples and exercises throughout the text emphasize various algebraic techniques used in calculus.
P. PREREQUISITES.
Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.
Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. FUNCTIONS AND THEIR GRAPHS.
Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.
3. POLYNOMIAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4. RATIONAL FUNCTIONS AND CONICS.
Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.
6. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
7. MATRICES AND DETERMINANTS.
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
8. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: Errors and the Algebra of Calculus.
APPENDIX B: Concepts in Statistics (Web).
B.1 Representing Data.
B.2 Analyzing Data.
B.3 Modeling Data.
Alternative Version of Chapter P (Web).
P.1 Operations with Real Numbers.
P.2 Properties of Real Numbers.
P.3 Algebraic Expressions.
P.4 Operations with Polynomials.
P.5 Factoring Polynomials.
P.6 Factoring Trinomials.
Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.
Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. FUNCTIONS AND THEIR GRAPHS.
Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.
3. POLYNOMIAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4. RATIONAL FUNCTIONS AND CONICS.
Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.
6. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
7. MATRICES AND DETERMINANTS.
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
8. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: Errors and the Algebra of Calculus.
APPENDIX B: Concepts in Statistics (Web).
B.1 Representing Data.
B.2 Analyzing Data.
B.3 Modeling Data.
Alternative Version of Chapter P (Web).
P.1 Operations with Real Numbers.
P.2 Properties of Real Numbers.
P.3 Algebraic Expressions.
P.4 Operations with Polynomials.
P.5 Factoring Polynomials.
P.6 Factoring Trinomials.
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