# User:KillerGardevoir/Collections/Calculus

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## Calculus[edit | edit source]

- Calculus
- Contributing
- Introduction
- Contributing
- Precalculus
- Functions
- Precalculus/Exercises
- Limits

- Limits
- Finite Limits
- Infinite Limits
- Continuity
- Formal Definition of the Limit
- Limits/Exercises
- Basics of Differentiation

- Differentiation
- More Differentiation Rules
- Higher Order Derivatives
- Implicit differentiation
- Differentiation/Exercises
- Applications of Derivatives

- Newton's Method
- Related Rates
- Kinematics
- Optimization
- Important Theorems
- Extreme Value Theorem
- Rolle's Theorem
- Mean Value Theorem for Functions
- Basics of Integration

- Integration
- Integration techniques
- Integration techniques
- Improper integrals
- Integration/Exercises
- Applications of Integration

- Area
- Volume
- Volume of solids of revolution
- Arc length
- Surface area
- Work
- Centre of mass
- Parametric Equations

- Parametric Introduction
- Parametric Differentiation
- Parametric Integration
- Polar Equations

- Polar Introduction
- Polar Differentiation
- Polar Integration
- Basics
- Sequences
- Series
- Series and calculus
- Taylor series
- Power series
- Sequences and Series/Exercises
- Vector Calculations
- Vectors
- Lines and Planes in Space
- Multivariable & Differential Calculus

- Multivariable calculus
- Ordinary differential equations
- Partial differential equations
- Further Analysis
- Systems of ordinary differential equations
- Formal Theory of Calculus
- Real numbers
- Complex numbers
- References
- Table of Trigonometry
- Summation notation
- Tables of Derivatives
- Tables of Integrals
- Acknowledgements and Further Reading
- Acknowledgements