WEEK 1
1. Introduction, Importance and Limitations
2. Units and Dimensions
3. Scaling
4. How to build mathematical models?
5. Basics of Excel 1
WEEK 2
6. Basics of Excel 2
7. Basics of Excel 3
8. Linear, Quadratic, Cubic Models
9. Linear Stability Analysis-I
10. Linear Stability Analysis-II
WEEK 3
11. Lyapunov Stability
12. Phase Plane Analysis 1
13. Phase Plane Analysis 2
14. Phase Plane Analysis 3
15. Growth Models (Continuous model)
WEEK 4 (Continuous models)
16. Predator-Prey models
17. Two species Competition model
18. Arms Race Model
19. Combat model I
20. Combat model II
WEEK 5 (Continuous models)
21. Carbon Dating
22. Drug Distribution
23. Growth and decay in L-R circuit
24. Rectilinear motion under variable force
25. Dynamics of Rowing
WEEK 6 (Continuous models)
26. Horizontal oscillation
27. Vertical Oscillation
28. Epidemic model 1
29. Epidemic model 2
30. Rumor model
WEEK 7 (Continuous models)
31. Varying Gravity model
32. Tumor model 1
33. Tumor model 2
34. Vegetation in a desert model
35. Mathematical model of love affairs
WEEK 8 (Discrete Models)
36. Discrete models: Difference Equation 1
37. Difference equations 2
38. Basics of Excel 4
39. Stability Analysis I
40. Stability Analysis II
WEEK 9 (Discrete Models)
41. Population models
42. Bank account models
43. Economic model
44. Pollutant model
45. Mathematical model of the Dynamics of Alcohol
WEEK 10 (Discrete Models)
46. Linear predator-prey model
47. Forensic model
48. Drug delivery model
49. Lanchester’s combat model
50. Two species completion model
WEEK 11 (Discrete models)
51. Infection model
52. Smoking model
53. Price and demand model
54. Paper towel model, Burning calories model
55. Learning model, Kidney function model
WEEK 12
56. Empirical Modeling
57. Estimation of Parameters 1
58. Estimation of Parameters 2
59. Estimation of Parameter 3
60. Simulation modeling.
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