The calculus lifesaver : all the tools you need to excel at calculus
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| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ:
Princeton University Press,
2007.
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| Series: | A Princeton lifesaver study guide
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| Subjects: |
Table of Contents:
- Functions, graphs, and lines
- Review of trigonometry
- Introduction to limits
- How to solve limit problems involving polynomials
- Continuity anddifferentiability
- How to solve differentiation problems
- Trig limits and derivatives
- Implicit differentiation and related rates
- Exponentials and logarithms
- Inverse functions and inverse trig functions
- The derivative and graphs
- Sketching graphs
- Optimization and linearization
- L'Hp̥ital's Rule and overview of limits
- Introduction to integration
- Definite integrals
- The fundamental theorems of calculus
- Techniques of integration, part one
- Techniques of integration, part two
- Improper integrals : basic concepts
- Improper integrals : how to solve problems
- Sequences and series : basic concepts
- How to solve series problems
- Taylor polynomials, Taylor series, and power series
- How to solve estimation problems
- Taylor and power series : how to solve problems
- Parametric equations and polar coordinates
- Complex numbers
- Volumes, arc lengths, and surface areas
- Differentialequations