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 - I

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