First day of instruction

08^th January, 2026

Class Test  

2^nd week of February, 2026

Mid-semester Examination

23^rd February – 02^nd March, 2026

Minor Test  

2^nd week of April, 2026

Last day of Instruction

01^st May, 2026

End-semester Examination

04^th – 12^th May, 2026

S.N.

Description

Lectures

1.

Introduction: Basic idea of model, mathematical model and mathematical modelling, Simple situations requiring mathematical modeling.

L1-L3

2.

Techniques of mathematical modeling, Classifications, Characteristics and limitations of mathematical models, Some simple illustrations.

L4-L6

3.

Mathematical modeling through difference equations: Basic theory of linear difference equations with constant coefficients.

L7-L9

4.

Mathematical models in Economics, Finance, Population dynamic, and Genetics.

L10-L12

5.

Mathematical modeling through first order ODEs: Linear growth and decay models, Logistic model, Radio-active decay and Carbon dating model.

L13-L15

6.

Compartment model: Mathematical model for diffusion of Glucose, Medicine in the blood stream.

L16-L18

7.

Mathematical modeling through systems of ODEs of the first order: Mathematical model in Economics and Finance.

L19-L21

8.

Mathematical model of drug distribution in human body, Compartment model, Medicine.

L22-L24

9.

Mathematical modeling through second order ODEs: Mathematical model for Planetary motion, Circular motion, Motion of satellites.

L25-L27

10.

Mathematical modeling through PDEs: Situations giving rise to PDEs models, Equation of continuity in fluid dynamics.

L28-L33

11.

Equation of continuity in heat flow/ traffic flow.

L34-L39