Many calculus textbooks look to engage students with margin notes, anecdotes, and other devices. But many instructors find these distracting, preferring to captivate their science and engineering students with the beauty of the calculus itself. Taalman and Kohn's refreshing new textbook is designed to help instructors do just that. Taalman and Kohn's Calculus offers a streamlined, structured exposition of calculus that combines the clarity of classic textbooks with a modern perspective on concepts, skills, applications, and theory. Its sleek, uncluttered design eliminates sidebars, historical…mehr
Many calculus textbooks look to engage students with margin notes, anecdotes, and other devices. But many instructors find these distracting, preferring to captivate their science and engineering students with the beauty of the calculus itself. Taalman and Kohn's refreshing new textbook is designed to help instructors do just that. Taalman and Kohn's Calculus offers a streamlined, structured exposition of calculus that combines the clarity of classic textbooks with a modern perspective on concepts, skills, applications, and theory. Its sleek, uncluttered design eliminates sidebars, historical biographies, and asides to keep students focused on what's most important-the foundational concepts of calculus that are so important to their future academic and professional careers. Maximize Teaching and Learning with WebAssign Premium Macmillan Learning and WebAssign have partnered to deliver WebAssign Premium - a comprehensive and flexible suite of resources for your calculus course. Combining the most widely used online homework platform with authoritative textbook content and Macmillan's esteemed Calctools, WebAssign Premium extends and enhances the classroom experience for instructors and students. Preview course content and sample assignments at www.webassign.net/whfreeman.
Part I. Differential Calculus 0. Functions and Precalculus 0.1 Functions and Graphs 0.2 Operations, Transformations, and Inverses 0.3 Algebraic Functions 0.4 Exponential and Trigonometric Functions 0.5 Logic and Mathematical Thinking* Chapter Review, Self-Test, and Capstones 1. Limits 1.1 An Intuitive Introduction to Limits 1.2 Formal Definition of Limit 1.3 Delta-Epsilon Proofs* 1.4 Continuity and Its Consequences 1.5 Limit Rules and Calculating Basic Limits 1.6 Infinite Limits and Indeterminate Forms Chapter Review, Self-Test, and Capstones 2. Derivatives 2.1 An Intuitive Introduction to Derivatives 2.2 Formal Definition of the Derivative 2.3 Rules for Calculating Basic Derivatives 2.4 The Chain Rule and Implicit Differentiation 2.5 Derivatives of Exponential and Logarithmic Functions 2.6 Derivatives of Trigonometric and Hyperbolic Functions* Chapter Review, Self-Test, and Capstones 3. Applications of the Derivative 3.1 The Mean Value Theorem 3.2 The First Derivative and Curve Sketching 3.3 The Second Derivative and Curve Sketching 3.4 Optimization 3.5 Related Rates 3.6 L'Hopital's Rule Chapter Review, Self-Test, and Capstones Part II. Integral Calculus 4. Definite Integrals 4.1 Addition and Accumulation 4.2 Riemann Sums 4.3 Definite Integrals 4.4 Indefinite Integrals 4.5 The Fundamental Theorem of Calculus 4.6 Areas and Average Values 4.7 Functions Defined by Integrals Chapter Review, Self-Test, and Capstones 5. Techniques of Integration 5.1 Integration by Substitution 5.2 Integration by Parts 5.3 Partial Fractions and Other Algebraic Techniques 5.4 Trigonometric Integrals 5.5 Trigonometric Substitution 5.6 Improper Integrals 5.7 Numerical Integration* Chapter Review, Self-Test, and Capstones 6. Applications of Integration 6.1 Volumes By Slicing 6.2 Volumes By Shells 6.3 Arc Length and Surface Area 6.4 Real-World Applications of Integration 6.5 Differential Equations* Chapter Review, Self-Test, and Capstones Part III. Sequences and Series 7. Sequences and Series 7.1 Sequences 7.2 Limits of Sequence 7.3 Series 7.4 Introduction to Convergence Tests 7.5 Comparison Tests 7.6 The Ratio and Root Tests 7.7 Alternating Series Chapter Review, Self-Test, and Capstones
8. Power Series 8.1 Power Series 8.2 Maclaurin Series and Taylor Series 8.3 Convergence of Power Series 8.4 Differentiating and Integrating Power Series Chapter Review, Self-Test, and Capstones Part IV. Vector Calculus 9. Parametric Equations, Polar Coordinates, and Conic Sections 9.1 Parametric Equations 9.2 Polar Coordinates 9.3 Graphing Polar Equations 9.4 Computing Arc Length and Area with Polar Functions 9.5 Conic Sections* Chapter Review, Self-Test, and Capstones 10. Vectors 10.1 Cartesian Coordinates 10.2 Vectors 10.3 Dot Product 10.4 Cross Product 10.5 Lines in Three-Dimensional Space 10.6 Planes Chapter Review, Self-Test, and Capstones 11. Vector Functions 11.1 Vector-Valued Functions 11.2 The Calculus of Vector Functions 11.3 Unit Tangent and Unit Normal Vectors 11.4 Arc Length Parametrizations and Curvature 11.5 Motion Chapter Review, Self-Test, and Capstones Part V. Multivariable Calculus 12. Multivariable Functions 12.1 Functions of Two and Three Variables 12.2 Open Sets, Closed Sets, Limits, and Continuity 12.3 Partial Derivatives 12.4 Directional Derivatives and Differentiability 12.5 The Chain Rule and the Gradient 12.6 Extreme Values 12.7 Lagrange Multipliers Chapter Review, Self-Test, and Capstones 13. Double and Triple Integrals 13.1 Double Integrals over Rectangular Regions 13.2 Double Integrals over General Regions 13.3 Double Integrals in Polar Coordinates 13.4 Applications of Double Integrals 13.5 Triple Integrals 13.6 Integration with Cylindrical and Spherical Coordinates 13.7 Jacobians and Change of Variables Chapter Review, Self-Test, and Capstones 14. Vector Analysis 14.1 Vector Fields 14.2 Line Integrals 14.3 Surfaces and Surface Integrals 14.4 Green's Theorem 14.5 Stokes' Theorem 14.6 The Divergence Theorem Chapter Review, Self-Test, and Capstones
Part I. Differential Calculus 0. Functions and Precalculus 0.1 Functions and Graphs 0.2 Operations, Transformations, and Inverses 0.3 Algebraic Functions 0.4 Exponential and Trigonometric Functions 0.5 Logic and Mathematical Thinking* Chapter Review, Self-Test, and Capstones 1. Limits 1.1 An Intuitive Introduction to Limits 1.2 Formal Definition of Limit 1.3 Delta-Epsilon Proofs* 1.4 Continuity and Its Consequences 1.5 Limit Rules and Calculating Basic Limits 1.6 Infinite Limits and Indeterminate Forms Chapter Review, Self-Test, and Capstones 2. Derivatives 2.1 An Intuitive Introduction to Derivatives 2.2 Formal Definition of the Derivative 2.3 Rules for Calculating Basic Derivatives 2.4 The Chain Rule and Implicit Differentiation 2.5 Derivatives of Exponential and Logarithmic Functions 2.6 Derivatives of Trigonometric and Hyperbolic Functions* Chapter Review, Self-Test, and Capstones 3. Applications of the Derivative 3.1 The Mean Value Theorem 3.2 The First Derivative and Curve Sketching 3.3 The Second Derivative and Curve Sketching 3.4 Optimization 3.5 Related Rates 3.6 L'Hopital's Rule Chapter Review, Self-Test, and Capstones Part II. Integral Calculus 4. Definite Integrals 4.1 Addition and Accumulation 4.2 Riemann Sums 4.3 Definite Integrals 4.4 Indefinite Integrals 4.5 The Fundamental Theorem of Calculus 4.6 Areas and Average Values 4.7 Functions Defined by Integrals Chapter Review, Self-Test, and Capstones 5. Techniques of Integration 5.1 Integration by Substitution 5.2 Integration by Parts 5.3 Partial Fractions and Other Algebraic Techniques 5.4 Trigonometric Integrals 5.5 Trigonometric Substitution 5.6 Improper Integrals 5.7 Numerical Integration* Chapter Review, Self-Test, and Capstones 6. Applications of Integration 6.1 Volumes By Slicing 6.2 Volumes By Shells 6.3 Arc Length and Surface Area 6.4 Real-World Applications of Integration 6.5 Differential Equations* Chapter Review, Self-Test, and Capstones Part III. Sequences and Series 7. Sequences and Series 7.1 Sequences 7.2 Limits of Sequence 7.3 Series 7.4 Introduction to Convergence Tests 7.5 Comparison Tests 7.6 The Ratio and Root Tests 7.7 Alternating Series Chapter Review, Self-Test, and Capstones
8. Power Series 8.1 Power Series 8.2 Maclaurin Series and Taylor Series 8.3 Convergence of Power Series 8.4 Differentiating and Integrating Power Series Chapter Review, Self-Test, and Capstones Part IV. Vector Calculus 9. Parametric Equations, Polar Coordinates, and Conic Sections 9.1 Parametric Equations 9.2 Polar Coordinates 9.3 Graphing Polar Equations 9.4 Computing Arc Length and Area with Polar Functions 9.5 Conic Sections* Chapter Review, Self-Test, and Capstones 10. Vectors 10.1 Cartesian Coordinates 10.2 Vectors 10.3 Dot Product 10.4 Cross Product 10.5 Lines in Three-Dimensional Space 10.6 Planes Chapter Review, Self-Test, and Capstones 11. Vector Functions 11.1 Vector-Valued Functions 11.2 The Calculus of Vector Functions 11.3 Unit Tangent and Unit Normal Vectors 11.4 Arc Length Parametrizations and Curvature 11.5 Motion Chapter Review, Self-Test, and Capstones Part V. Multivariable Calculus 12. Multivariable Functions 12.1 Functions of Two and Three Variables 12.2 Open Sets, Closed Sets, Limits, and Continuity 12.3 Partial Derivatives 12.4 Directional Derivatives and Differentiability 12.5 The Chain Rule and the Gradient 12.6 Extreme Values 12.7 Lagrange Multipliers Chapter Review, Self-Test, and Capstones 13. Double and Triple Integrals 13.1 Double Integrals over Rectangular Regions 13.2 Double Integrals over General Regions 13.3 Double Integrals in Polar Coordinates 13.4 Applications of Double Integrals 13.5 Triple Integrals 13.6 Integration with Cylindrical and Spherical Coordinates 13.7 Jacobians and Change of Variables Chapter Review, Self-Test, and Capstones 14. Vector Analysis 14.1 Vector Fields 14.2 Line Integrals 14.3 Surfaces and Surface Integrals 14.4 Green's Theorem 14.5 Stokes' Theorem 14.6 The Divergence Theorem Chapter Review, Self-Test, and Capstones
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