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Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applicationsFully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.
Schaum's Outline of Calculus, 5ed 1. Linear Coordinate Systems. Absolute Value. Inequalities.2. Rectangular Coordinate Systems3. Lines4. Circles5. Equations and their Graphs6. Functions7. Limits8. Continuity9. The Derivative10. Rules for Differentiating Functions11. Implicit Differentiation12. Tangent and Normal Lines13. Law of the Mean. Increasing and Decreasing Functions14. Maximum and Minimum Values15. Curve Sketching. Concavity. Symmetry.16. Review of Trigonometry17. Differentiation of Trigonometric Functions18. Inverse Trigonometric Functions19. Rectilinear and Circular Motion20. Related Rates21. Differentials. Newton's Method22. Antiderivatives23. The Definite Integral. Area under a Curve24. The Fundamental Theorem of Calculus25. The Natural Logarithm26. Exponential and Logarithmic Functions27. L'Hopital's Rule28. Exponential Growth and Decay29. Applications of Integration I: Area and Arc Length30. Applications of Integration II: Volume31. Techniques of Integration I: Integration by Parts32. Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions33. Techniques of Integration III: Integration by Partial Fractions34. Techniques of Integration IV: Miscellaneous Substitutions35. Improper Integrals36. Applications of Integration III: Area of a Surface of Revolution37. Parametric Representation of Curves38. Curvature39. Plane Vectors40. Curvilinear Motion41. Polar Coordinates42. Infinite Sequences43. Infinite Series44. Series with Positive Terms. The Integral Test. Comparison Tests45. Alternating Series. Absolute and Conditional Convergence. The Ratio Test46. Power Series47. Taylor and Maclaurin Series. Taylor's Formulas with Remainder48. Partial Derivatives49. Total Differential. Differentiability. Chain Rules50. Space Vectors51. Surfaces and Curves in Space52. Directional Derivatives. Maximum and Minimum Values.53. Vector Differentiation and Integration54. Double and Iterated Integrals55. Centroids and Moments of Inertia of Plane Ar
Frank Ayres and Elliott Mendelson
ISBN13: 978-0071508612Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applicationsFully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.
Table of Contents
Schaum's Outline of Calculus, 5ed 1. Linear Coordinate Systems. Absolute Value. Inequalities.2. Rectangular Coordinate Systems3. Lines4. Circles5. Equations and their Graphs6. Functions7. Limits8. Continuity9. The Derivative10. Rules for Differentiating Functions11. Implicit Differentiation12. Tangent and Normal Lines13. Law of the Mean. Increasing and Decreasing Functions14. Maximum and Minimum Values15. Curve Sketching. Concavity. Symmetry.16. Review of Trigonometry17. Differentiation of Trigonometric Functions18. Inverse Trigonometric Functions19. Rectilinear and Circular Motion20. Related Rates21. Differentials. Newton's Method22. Antiderivatives23. The Definite Integral. Area under a Curve24. The Fundamental Theorem of Calculus25. The Natural Logarithm26. Exponential and Logarithmic Functions27. L'Hopital's Rule28. Exponential Growth and Decay29. Applications of Integration I: Area and Arc Length30. Applications of Integration II: Volume31. Techniques of Integration I: Integration by Parts32. Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions33. Techniques of Integration III: Integration by Partial Fractions34. Techniques of Integration IV: Miscellaneous Substitutions35. Improper Integrals36. Applications of Integration III: Area of a Surface of Revolution37. Parametric Representation of Curves38. Curvature39. Plane Vectors40. Curvilinear Motion41. Polar Coordinates42. Infinite Sequences43. Infinite Series44. Series with Positive Terms. The Integral Test. Comparison Tests45. Alternating Series. Absolute and Conditional Convergence. The Ratio Test46. Power Series47. Taylor and Maclaurin Series. Taylor's Formulas with Remainder48. Partial Derivatives49. Total Differential. Differentiability. Chain Rules50. Space Vectors51. Surfaces and Curves in Space52. Directional Derivatives. Maximum and Minimum Values.53. Vector Differentiation and Integration54. Double and Iterated Integrals55. Centroids and Moments of Inertia of Plane Ar