Mathematical Modeling : Analysis and Applications
This course is an introduction to mathematical modeling based on the use of elementary functions to describe and explore real-world phenomena and data.
1 Introduction to Mathematical Modeling
2 Numerical Methods to Compute Eigen Values
3 Discrete Time Non-Linear Models in Population Dynamics - II
4 Classifications of Bifurcation
5 Introduction to Continuous Time Models
6 Continuous Time Single Species Models
7 Qualitative Solution of Differential Equations - Phase Diagrams - II
8 Qualitative Solution of Differential Equations - Phase Diagrams - I
9 Solution of First Order First Degree Differential Equations
10 Discrete Time Linear Models in Population Dynamics - II
11 Discrete Time Prey - Predator Model
12 Continuous Time Lotka - Volterra Competition Model
13 Continuous Time Prey - Predator Model
14 Continuous Time Models in Population Dynamics - I
15 Discrete Time Linear Age Structured Models
16 Continuous Time Models in Population Dynamics - II
17 Stability and Linearization of System of Ordinary Differential Equations
18 Analysis on Logistic Difference Equation
19 Analysis on Logistic Difference Equation
20 Discrete Time Linear Models in Population Dynamics - I