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Schaum's Outline of Calculus, 5ed By Frank Ayres

Schaum's Outline of Calculus, 5ed

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Schaum's Outline of Calculus, 5ed Summary

Schaum's Outline of Calculus, 5ed by Frank Ayres

Tough Test Questions? 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.

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  • Practice problems with full explanations that reinforce knowledge
  • Coverage of the most up-to-date developments in your course field
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Table of Contents

Schaum's Outline of Calculus, 5ed

1. Linear Coordinate Systems. Absolute Value. Inequalities.

2. Rectangular Coordinate Systems

3. Lines

4. Circles

5. Equations and their Graphs

6. Functions

7. Limits

8. Continuity

9. The Derivative

10. Rules for Differentiating Functions

11. Implicit Differentiation

12. Tangent and Normal Lines

13. Law of the Mean. Increasing and Decreasing Functions

14. Maximum and Minimum Values

15. Curve Sketching. Concavity. Symmetry.

16. Review of Trigonometry

17. Differentiation of Trigonometric Functions

18. Inverse Trigonometric Functions

19. Rectilinear and Circular Motion

20. Related Rates

21. Differentials. Newton's Method

22. Antiderivatives

23. The Definite Integral. Area under a Curve

24. The Fundamental Theorem of Calculus

25. The Natural Logarithm

26. Exponential and Logarithmic Functions

27. L'Hopital's Rule

28. Exponential Growth and Decay

29. Applications of Integration I: Area and Arc Length

30. Applications of Integration II: Volume

31. Techniques of Integration I: Integration by Parts

32. Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions

33. Techniques of Integration III: Integration by Partial Fractions

34. Techniques of Integration IV: Miscellaneous Substitutions

35. Improper Integrals

36. Applications of Integration III: Area of a Surface of Revolution

37. Parametric Representation of Curves

38. Curvature

39. Plane Vectors

40. Curvilinear Motion

41. Polar Coordinates

42. Infinite Sequences

43. Infinite Series

44. Series with Positive Terms. The Integral Test. Comparison Tests

45. Alternating Series. Absolute and Conditional Convergence. The Ratio Test

46. Power Series

47. Taylor and Maclaurin Series. Taylor's Formulas with Remainder

48. Partial Derivatives

49. Total Differential. Differentiability. Chain Rules

50. Space Vectors

51. Surfaces and Curves in Space

52. Directional Derivatives. Maximum and Minimum Values.

53. Vector Differentiation and Integration

54. Double and Iterated Integrals

55. Centroids and Moments of Inertia of Plane Areas

56. Double Integration Applied to Volume under a Surface and the Area of a Curved Surface

57. Triple Integrals

58. Masses of Variable Density

59. Differential Equations of First and Second Order

Additional information

Schaum's Outline of Calculus, 5ed by Frank Ayres
Frank Ayres
Used - Like New
McGraw-Hill Education - Europe
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
The book has been read, but looks new. The book cover has no visible wear, and the dust jacket is included if applicable. No missing or damaged pages, no tears, possible very minimal creasing, no underlining or highlighting of text, and no writing in the margins.