User:Neeraavi/Books/Book5

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Book1[edit]

Co-ordinate Systems
Introduction
Calculus
Fundamental theorem of calculus
Functiona and Limits
Continuous function
Limit (mathematics)
Limit of a function
One-sided limit
Indeterminate form
L'Hôpital's rule
Limit of a sequence
Differentiation
Derivative
Differential calculus
Differentiation Rules
Differentiation rules
Sum rule in differentiation
Constant factor rule in differentiation
Linearity of differentiation
Product rule
Quotient rule
Reciprocal rule
Chain rule
Mean value theorem
Differentiation of trigonometric functions
Inverse trigonometric functions
Logarithmic derivative
Hyperbolic function
Applications
Exponential growth
Exponential decay
Related rates
Implicit function
List of derivatives
List of differentiation identities
Maxima and Minima
First derivative test
Maxima and minima
Second derivative test
Higher order derivative test
Integration
Integral
Constant of integration
Antiderivative
Intermediate value theorem
Methods of Integration
Change of variables (PDE)
Taylor's theorem
Improper integral
Integration by parts
Disk integration
Shell integration
Integration by substitution
Trigonometric substitution
Partial fractions in integration
Order of integration (calculus)
List of Integrals
Lists of integrals
Line, Surface, Volume Integrals
Line integral
Surface integral
Volume integral
Multiple integral
Vector Calculus
Vector calculus
Matrix Calculus
Matrix calculus
Volume and surface elements in different co-ordinate systems
Spherical coordinate system
Cylindrical coordinate system
Polar coordinate system