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Schaums 3000 Solved Problems in Calculus by Elliot Mendelson



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Schaums 3000 Solved Problems in Calculus written by Elliot Mendelson, Ph.D., Professor of Mathematics, Queens College, City University of New York. This book is consist 45 chapter.

Schaums 3000 Solved Problems in Calculus written by Elliot Mendelson cover the following topics.

  • 1. INEQUALITIES

  • 2. ABSOLUTE VALUE

  • 3. LINES

  • 4. CIRCLES

  • 5. FUNCTIONS AND THEIR GRAPHS

  • 6. LIMITS

  • 7. CONTINUITY

  • 8. THE DERIVATIVE

  • 9. THE CHAIN RULE

  • 10. TRIGONOMETRIC FUNCTIONS AND THEIR DERIVATIVES

  • 11. ROLLES THEOREM, THE MEAN VALUE THEOREM, AND THE SIGN OF THE DERIVATIVE

  • 12. HIGHER-ORDER DERIVATIVES AND IMPLICIT DIFFERENTIATION

  • 13. MAXIMA AND MINIMA

  • 14. RELATED RATES

  • 15. CURVE SKETCHING (GRAPHS)

  • 16. APPLIED MAXIMUM AND MINIMUM PROBLEMS

  • 17. RECTILINEAR MOTION

  • 18. APPROXIMATION BY DIFFERENTIALS

  • 19. ANTIDERIVATIVES (INDEFINITE INTEGRALS)

  • 20. THE DEFINITE INTEGRAL AND THE FUNDAMENTAL THEOREM OF CALCULUS

  • 21. AREA AND ARC LENGTH

  • 22. VOLUME

  • 23. THE NATURAL LOGARITHM

  • 24. EXPONENTIAL FUNCTIONS

  • 25. L'HOPITAL'S RULE

  • 26. EXPONENTIAL GROWTH AND DECAY

  • 27. INVERSE TRIGONOMETRIC FUNCTIONS

  • 28. INTEGRATION BY PARTS

  • 29. TRIGONOMETRIC INTEGRANDS AND SUBSTITUTIONS

  • 30. INTEGRATION OF RATIONAL FUNCTIONS: THE METHOD OF PARTIAL FRACTIONS

  • 31. INTEGRALS FOR SURFACE AREA, WORK, CENTROIDS Surface Area of a Solid of Revolution / Work / Centroid of a Planar Region

  • 32. IMPROPER INTEGRALS

  • 33. PLANAR VECTORS

  • 34. PARAMETRIC EQUATIONS, VECTOR FUNCTIONS, CURVILINEAR MOTION Parametric Equations of Plane Curves / Vector-Valued Functions

  • 35. POLAR COORDINATES

  • 36. INFINITE SEQUENCES

  • 37. INFINITE SERIES

  • 38. POWER SERIES

  • 39. TAYLOR AND MACLAURIN SERIES

  • 40. VECTORS IN SPACE. LINES AND PLANES

  • 41. FUNCTIONS OF SEVERAL VARIABLES Multivariate Functions and Their Graphs / Cylindrical and Spherical Coordinates

  • 42. PARTIAL DERIVATIVES

  • 43. DIRECTIONAL DERIVATIVES AND THE GRADIENT. EXTREME VALUES

  • 44. MULTIPLE INTEGRALS AND THEIR APPLICATIONS

  • 45. VECTOR FUNCTIONS IN SPACE. DIVERGENCE AND CURL. LINE INTEGRALS

  • 46. DIFFERENTIAL EQUATIONS

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