Differential Equations

Hi,

I'm planning to covering the below topics. 

Continuity and Differentiabilit:

Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions

Concept of exponential and logarithmic functions.

Derivatives of logarithmic and exponential functions

Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives

Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation

Aplications of Derivatives:

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normal, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool)

Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations)

Differential equation:

Definition, order and degree, general and particular solutions of a differential equation

Formation of differential equation whose general solution is given

Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree

Solutions of linear differential equation of the type −

dy/dx + py = q, where p and q are functions of x or constants. 

dx/dy + px = q, where p and q are functions of y or constants

If anyone interested can join the class.

Thanks and Regards

Santhosh Bhukya