NOC:Mathematical Modelling: Analysis and Applications (USB)

Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. Ameeya Kumar Nayak

NPTEL Co-ordinating Institute : IIT Roorkee

NPTEL Lecture Count : 20

NPTEL Course Size : 4.2 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

Lecture 1 - Introduction to Mathematical Modeling
Lecture 2 - Discrete Time Linear Models in Population Dynamics - I
Lecture 3 - Discrete Time Linear Models in Population Dynamics - II
Lecture 4 - Discrete Time Linear Age Structured Models
Lecture 5 - Numerical Methods to Compute Eigen Values
Lecture 6 - Discrete Time Non-Linear Models in Population Dynamics - II
Lecture 7 - Analysis on Logistic Difference Equation
Lecture 8 - Classifications of Bifurcation
Lecture 9 - Discrete Time Non - Linear Models in Population Dynamics - II
Lecture 10 - Discrete Time Prey - Predator Model
Lecture 11 - Introduction to Continuous Time Models
Lecture 12 - Solution of First Order First Degree Differential Equations
Lecture 13 - Continuous Time Models in Population Dynamics - I
Lecture 14 - Continuous Time Models in Population Dynamics - II
Lecture 15 - Stability and Linearization of System of Ordinary Differential Equations
Lecture 16 - Continuous Time Single Species Models
Lecture 17 - Qualitative Solution of Differential Equations - Phase Diagrams - I
Lecture 18 - Qualitative Solution of Differential Equations - Phase Diagrams - II
Lecture 19 - Continuous Time Lotka - Volterra Competition Model
Lecture 20 - Continuous Time Prey - Predator Model