Topics and Syllabus - Applied Mathematics 2 M.Sc. University of Mumbai

1.01 Beta and Gamma Functions and Its Properties

1.02 Rectification of Plane Curves

1.03 Differential Equation of First Order and First Degree

2.01 Linear Differential Equations(Review), Equation Reduciable to Linear Form, Bernoulli’S Equation

2.02 Linear Differential Eqaution with Constant Coeffiecient

2.03 Cauchy’S Homogeneous Linear Differential Equation and Legendre’S Differential Equation, Method of Variation of Parameters

2.04 Simple Application of Differential Equation of First Order and Second Order to Electrical and Mechanical Engineering Problem

3.01 Taylor’S Series Method,Euler’S Method,Modified Euler Method,Runga‐Kutta Fourth Order Formula

3.02 Multiple Integrals‐Double Integration

4.01 Triple Integration

4.02 Application to Double Integrals to Compute Area, Mass, Volume. Application of Triple Integral to Compute Volume

4.03 Numerical Integration