3000 solved problems in calculus
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New Delhi
Tata McGraw-Hill
1988
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| Edition: | Tata McGraw-Hill ed. |
| Series: | Schaum's solved problems series.
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| Subjects: | |
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Table of Contents:
- Inequalities
- Absolute value
- Lines
- Circles
- Functions and their graphs
- Limits
- Continuity
- The derivative
- The chain rule
- Trigonometric functions and their derivatives
- Rolle's theorem, the mean value theorem, and the sign of the derivative
- Higher-order derivatives and implicit differentiation
- Maxima and Minima
- Related rates
- Curve sketching (graphs)
- Applied maximum and minimum problems
- Rectilinear motion
- Approximation by differentials
- Antiderivatives (indefinite integrals)
- The definite integral and the fundamental theorem of calculus
- Area and arc length
- Volume
- The natural logarithm
- Exponential functions
- L'Hôpital's rule
- Exponential growth and decay
- Inverse trigonometric functions
- Integration by parts
- Trigonometric integrands and substitutions
- Integration of rational functions : the method of partial fractions
- Integrals for surface area, work, centroids : surface area of a solid of revolution, work, centroid of a planar region
- Improper integrals
- Planar vectors
- Parametric equations, vector functions, curvilinear motion : parametric equations of plane curves, vector-valued functions
- Polar coordinates
- Infinite sequences
- Infinite series
- Power series
- Taylor and MacLaurin series
- Vectors in space : lines and planes
- Functions of several variables : multivariate functions and their graphs, cylindrical and spherical coordinates
- Partial derivatives
- Directional derivatives and the gradient : extreme values
- Multiple integrals and their applications
- Vector functions in space, divergence and curl, line integrals
- Differential equations.