Calculus- simpleNeasyBook

˜… ˜… ˜… ˜… ˜… WAGmob: Over One million paying customer ˜… ˜… ˜… ˜… ˜…

WAGmob brings you Simple 'n Easy, on-the-go learning book for "Calculus".

The book provides:

Snack sized chapters for easy learning.

Designed for both students and adults.

This book provides a quick summary of essential concepts in Calculus by following snack sized chapters:


Limits, Continuity and Functions,
€ Introduction to Calculus.
€ Limits and Continuity.
€ Definition of Limit.
€ Right Hand and Left Hand Limit.
€ Limits Principle.
€ Limits of Trigonometric Functions.
€ Continuity.
€ Continuity Properties.
€ Function Definition.
€ Examples of Function.
€ Independent Variable.
€ Dependent Variable.
€ Boolean Functions.
€ One-to-One Functions.
€ Onto Functions.
€ Exponential Functions.
€ Logarithmic Functions.
€ One-to-One Correspondences.
€ Inverse Functions.

Derivatives and Differentiation,
€ Differentiation.
€ Derivative: Definition.
€ Derivative: Example.
€ Continuity and Differentiability.
€ Higher- Order Derivatives.
€ Inflection Point.
€ Differential Notations.

Applications of Derivative,
€ Applications of Derivative.
€ Motion in a Straight Line.
€ Derivative of Increasing and Decreas-ing Functions.
€ Curve Sketching.
€ Rolle€s Theorem.
€ Lagrange€s Mean Value Theorem.

Techniques of Differentiation I,
€ Derivative Rules.
€ Implicit Differentiation.
€ Common Derivatives.
€ Trigonometric Derivatives.
€ Derivative of sin x.
€ Derivative of cos x.
€ Derivative of tan x.
€ Derivative of cot x.
€ Derivative of sec x.
€ Derivative of cosec x.

Techniques of Differentiation II,
€ Inverse Trigonometric Derivatives.
€ Derivative of Inverse sin Function.
€ Derivative of Inverse cos Functions.
€ Derivative of Inverse tan Function.
€ Exponential Derivatives.
€ Logarithmic Derivatives.
€ Second Order Derivative.
€ Partial Derivatives.

Integrals and Integration,
€ Integral and Integration.
€ Definite Integral.
€ Riemann Sum.
€ Formal Definition of Definite Integral.
€ Approximating Definite Integrals.
€ Indefinite Integral.
€ Fundamental Theorem of Calculus.

Techniques of Integration,
€ Integration Properties.
€ Common Integrals.
€ Trigonometric Integrals.
€ Integrals of Some Particular Functions.
€ Integration by Substitution.
€ Integration by Parts.
€ Trigonometric Substitution.
€ Integrals of Some More Types.

Applications of Integration,
€ Applications of Integration.
€ Area under Curve.
€ Area between Two Curves.
€ Arc Length.
€ Volume of Revolved Solid (Disk Method).
€ Volume of Revolved Solid (Washer method).
€ Volume of Revolved Solid (Shell Method).
€ Surface Area.
€ Applications of Definite Integral.
€ Relation between Velocity and Acceleration.
€ Relation between Position and Velocity.

Differential Equations,
€ Differential Equations.
€ Types of Differential Equations.
€ How to solve Differential Equations.
€ Differential Equations: Applications.
€ Radioactive Decay in Nuclear Physics.
€ Newton€s Law of Cooling.
€ Malthusian Growth Model.
€ Acceleration of Falling Object.

Parametric Equations and Calculus,
€ Parametric Equations.
€ Slope of the Tangent Line.
€ Higher Order Derivatives for Parametric Equations.
€ Arc Length of Parametric Curves.
€ Slope with Parametric Equations.

Calculus of Polar Curves and Power Series,

Microeconomics,

Probability and Statistics.



About WAGmob books:
1) A companion book for on-the-go, bite-sized learning.
2) Offers value for money (a lifetime of free updates).
3) Over One million paying customers from 175+ countries.

WAGmob Vision : Simple 'n easy books for a lifetime of on-the-go learning.