Date of commencement of Course 
Sunday, August 1, 2021 Tentative 
Course Duration  45 hours 
Eligibility  Any graduate/diploma holder with mathematics background 
Timings  Shall be declared soon 
Expected Learning outcomes 
Participants will be familiar with techniques and tools of solving first order ODE and Linear ODE of higher order and will be able to use them for the relevant applications in allied disciplines Participants will have good understanding of process of Mathematical Modeling, and are expected to be able to construct Mathematical models for some real world problems 
Course Fees (in Rs.) 
9000/ 
Topics covered

MM001: Differential Equations and Modeling 1: Models of problems in Science and Engineering leading to ordinary differential equations (ODE), Solutions of first order first degree ODE and Applications 2: Models leading to higher order linear ODE, Solutions of homogeneous and nonhomogeneous ODE. Applications of ODE. 3: Legendre and Bessel’s equations: Legendre polynomials and Bessel’s functions, Systems of ODE: Solutions using eigen values and eigen vectors; Phase plane Analysis 
MM002: Partial Differential Equations 1: Surfaces and curves in space, Partial differential equations (PDE) 2: First order PDEs: Models leading to PDEs, General solution of Linear PDE, Nonlinear PDE 3:Second order PDEs of Mathematical Physics: Wave equation, Heat equation, Laplace Equation 

MM003:Modeling & Simulations 1: Needs and Techniques of mathematical modeling 2: Models in population dynamics: 3: Modeling of Physical systems 4: Compartment Models: Models for exponential decay and Radioactivity, Radiocarbon Dating, Lake Pollution models, Drug assimilation into the blood, Simple Traffic Models: Automobile velocities and Velocity field, Traffic flow and Traffic density, Flow, density and velocity relationship, Conservation of number of cars, SteadyState Carfollowing models 

Faculty/Experts  Dr. V. D. Pathak, Dr. Vikas Jadhav 
Program Coordinator  Dr. V. D. Pathak, Cell: 9426324267, Email: vdpmsu@gmail.com Dr. Ajay V. Deshmukh, Mobile:7447474652 email:ajay.deshmukh@rediffmail.com 
1st Aug 2021
Tentative
9000