# Mathematical Modelling

Course TypeCourse CodeNo. Of Credits
Foundation ElectiveSUS1MA5414

Semester and Year Offered: Winter 2018

Course Coordinator and Team: Kranti Kumar, Balchand Prajapati

Email of course coordinator: kranti[at]aud[dot]ac[dot]in

Pre-requisites: Probability and Statistics and Ordinary Differential Equations

Aim:

This course has been designed keeping in mind the students who have already been exposed to MA507 and MA510. The main objective of this course is to provide an introduction to modelling and simulation and how to model, solve and interpret real life problems using different Mathematical perspectives.

Course Outcomes:

After completing this course, students will be able

1. to understand concept of modelling and simulation
2. to construct mathematical models of real world problems
3. to solve the mathematical models using mathematical techniques and with the help of Excel sheets.

Brief description of modules/ Main modules:

The following topics will be covered in the course under the three main modules as described below.

• Interacting Population Model and Phase Plane Analysis An epidemic model of influenza, Predictor and Prey Model, Competing Species, Model of Battle, Phase Plane Analysis of Predictor and Prey, epidemic and Battle Models.
• Deterministic Dynamical Programming Two Puzzles, A network problem, shortest path, inventory problem, Resource Allocation problem, Knapsack problem, Formulating Dynamical programming problem
• Simulation Basic Terminology, Discrete Event Simulation, Random number with Monto Carlo Simulation, Example of Monto – Carlo Simulation, Simulation for continuous random variables
• Lab exercises (MS Excel)
1. Solving Knapsack problems
2. Solving inventory problems
3. Solving Resource allocation problems

Assessment Details with weights:

 S.No Assessment Date/period in which Assessment will take place Weightage 1 Class test Second/third week of February, 2018 10% 2 Mid Semester Exam As per AUD Academic Calendar 25% 3 Tut/LabAssessment Throughout the semester 20% 4 Presentation/ Viva First/Second week of April, 2018 10% 5 End Semester Exam As per AUD Academic Calendar 35%