Prepare for success in precalculus as Larson's PRECALCULUS WITH LIMITS, 5th Edition provides specially developed ongoing review in addition to clear explanations, real examples, exercises that relate to everyday life and innovative online support. Written by an award-wining author recognized for his reader-friendly approach, this edition provides a brief review of core algebra topics and coverage of analytic geometry in three dimensions in addition to an introduction to concepts covered in calculus. "How Do You See It?" exercises let you practice applying concepts, while new Summarize features…mehr
Prepare for success in precalculus as Larson's PRECALCULUS WITH LIMITS, 5th Edition provides specially developed ongoing review in addition to clear explanations, real examples, exercises that relate to everyday life and innovative online support. Written by an award-wining author recognized for his reader-friendly approach, this edition provides a brief review of core algebra topics and coverage of analytic geometry in three dimensions in addition to an introduction to concepts covered in calculus. "How Do You See It?" exercises let you practice applying concepts, while new Summarize features and Checkpoint questions reinforce your understanding of skills you need to better prepare for tests. In addition, "Review & Refresh" exercises and Skills Review videos help you strengthen previously learned math skills. You can even access no-cost homework support on the websites CalcChat.com, CalcView.com and LarsonPrecalculus.com and refine your abilities with WebAssign activities and practice.
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.
Inhaltsangabe
1. FUNCTIONS AND THEIR GRAPHS.Rectangular Coordinates. Graphs of Equations. 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. Mathematical Modeling and Variation. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.2. POLYNOMIAL AND RATIONAL FUNCTIONS.Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Complex Numbers. Zeros of Polynomial Functions. Rational Functions. Nonlinear Inequalities. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.3. 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 1-3. Proofs in Mathematics. P.S. Problem Solving.4. TRIGONOMETRY.Radian and Degree Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.5. ANALYTIC TRIGONOMETRY.Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.6. ADDITIONAL TOPICS IN TRIGONOMETRY.Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. The Complex Plane. Trigonometric Form of a Complex Number. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 4-6. Proofs in Mathematics. P.S. Problem Solving.7. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.8. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.9. 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 7-9. Proofs in Mathematics. P.S. Problem Solving.10. TOPICS IN ANALYTIC GEOMETRY.Lines. Introduction to Conics: Parabolas. Ellipses. Hyperbolas. Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.11. ANALYTIC GEOMETRY IN THREE DIMENSIONS.The Three-Dimensional Coordinate System. Vectors in Space. The Cross Product of Two Vectors. Lines and Planes in Space. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.12. LIMITS AND AN INTRODUCTION TO CALCULUS.Introduction to Limits. Techniques for Evaluating Limits. The Tangent Line Problem. Limits at Infinity and Limits of Sequences. The Area Problem. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters. Proofs in Mathematics. P.S.
1. FUNCTIONS AND THEIR GRAPHS.Rectangular Coordinates. Graphs of Equations. 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. Mathematical Modeling and Variation. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.2. POLYNOMIAL AND RATIONAL FUNCTIONS.Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Complex Numbers. Zeros of Polynomial Functions. Rational Functions. Nonlinear Inequalities. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.3. 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 1-3. Proofs in Mathematics. P.S. Problem Solving.4. TRIGONOMETRY.Radian and Degree Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.5. ANALYTIC TRIGONOMETRY.Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.6. ADDITIONAL TOPICS IN TRIGONOMETRY.Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. The Complex Plane. Trigonometric Form of a Complex Number. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 4-6. Proofs in Mathematics. P.S. Problem Solving.7. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.8. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.9. 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 7-9. Proofs in Mathematics. P.S. Problem Solving.10. TOPICS IN ANALYTIC GEOMETRY.Lines. Introduction to Conics: Parabolas. Ellipses. Hyperbolas. Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.11. ANALYTIC GEOMETRY IN THREE DIMENSIONS.The Three-Dimensional Coordinate System. Vectors in Space. The Cross Product of Two Vectors. Lines and Planes in Space. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.12. LIMITS AND AN INTRODUCTION TO CALCULUS.Introduction to Limits. Techniques for Evaluating Limits. The Tangent Line Problem. Limits at Infinity and Limits of Sequences. The Area Problem. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters. Proofs in Mathematics. P.S.
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