Course Type | Course Code | No. Of Credits |
---|
Foundation Elective | SUS1MA541 | 4 |
Semester and Year Offered: Winter 2018
Course Coordinator and Team: Kranti Kumar, Balchand Prajapati
Email of course coordinator: kranti@aud.ac.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
- to understand concept of modelling and simulation
- to construct mathematical models of real world problems
- 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)
- Solving Knapsack problems
- Solving inventory problems
- 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% |
Reading List:
- Wayne. L. Winston, Probability Models, India Edition, Cengage Learning, reprint 2009, ISBN-13: 978-81-315-0901-2.
- Belinda Barnes and Glenn Robert Fulford,Mathematical modelling with Case Studies A Differential Equations Approach Using Maple and matlab, Second Edition (Special indian Edition), CRC Press Taylor and Francis, ISBN-13: 978-1-4200-8348-4.
- Daniel P. Maki, Maynard Thompson, `Mathematical Modeling with Computer Simulation', India Edition, Cengage Learning, 2011ISBN-13: 978-81-315-1286-9.
- J N Kapur, `Mathematical Modeling', New Age Publishers, 2005, ISBN: 81-224-0006-X.
ADDITIONAL REFERENCE: