# EXCELing with Mathematical Modeling

- Institution: IIT Roorkee
- Department: Mathematics
- Teacher: Prof. Sandip Banerjee
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111107523)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111107523)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Mathematical modeling is an important aspect of the study of science and engineering. Even social sciences involve mathematical modeling. The primary aim of the course is to create an awareness of the concepts involved in mathematical modeling so as to build a solid foundation in the subject. The objective of this course is to make students learn and construct models of various systems and situations, including models from experimental measurements, solving the models numerically using EXCEL and interpreting the results in the context of given scenarios.

Intended audience: Undergraduates as well as Postgraduates

## Lectures

1. [Introduction, Importance and Limitations](https://invisiblenetwork.ai/learn/nptel/111107523/a7716e315a81) (YouTube)
2. [Units and Dimensions](https://invisiblenetwork.ai/learn/nptel/111107523/5215bc4690fb) (YouTube)
3. [Scaling](https://invisiblenetwork.ai/learn/nptel/111107523/dcebf5bc6ac4) (YouTube)
4. [How to build mathematical models?](https://invisiblenetwork.ai/learn/nptel/111107523/167bde1bbb4c) (YouTube)
5. [Basics of Excel 1](https://invisiblenetwork.ai/learn/nptel/111107523/edf9c2c77257) (YouTube)
6. [Basics of Excel 2](https://invisiblenetwork.ai/learn/nptel/111107523/e30dbc559132) (YouTube)
7. [Basics of Excel 3](https://invisiblenetwork.ai/learn/nptel/111107523/e84587fe9fd3) (YouTube)
8. [Linear, Quadratic, Cubic Models](https://invisiblenetwork.ai/learn/nptel/111107523/920ad5c31814) (YouTube)
9. [Linear Stability Analysis-I](https://invisiblenetwork.ai/learn/nptel/111107523/027ae1e88d68) (YouTube)
10. [Linear Stability Analysis-II](https://invisiblenetwork.ai/learn/nptel/111107523/4f13089d9195) (YouTube)
11. [Lyapunov Stability](https://invisiblenetwork.ai/learn/nptel/111107523/7192ea762140) (YouTube)
12. [Phase Plane Analysis 1](https://invisiblenetwork.ai/learn/nptel/111107523/b25548e05419) (YouTube)
13. [Phase Plane Analysis 2](https://invisiblenetwork.ai/learn/nptel/111107523/030982d09c2b) (YouTube)
14. [Phase Plane Analysis 3](https://invisiblenetwork.ai/learn/nptel/111107523/01018917336a) (YouTube)
15. [Growth Models(Continuous model)](https://invisiblenetwork.ai/learn/nptel/111107523/6b4db97158cd) (YouTube)
16. [Predator-Prey models](https://invisiblenetwork.ai/learn/nptel/111107523/e6336b52f381) (YouTube)
17. [Two species competition model](https://invisiblenetwork.ai/learn/nptel/111107523/7ec8a7a6188a) (YouTube)
18. [Arms Race Model](https://invisiblenetwork.ai/learn/nptel/111107523/4bd5afea2fda) (YouTube)
19. [Combat Model I](https://invisiblenetwork.ai/learn/nptel/111107523/1048e3fd6aca) (YouTube)
20. [Combat Model II](https://invisiblenetwork.ai/learn/nptel/111107523/113d44a50a94) (YouTube)
21. [Carbon Dating](https://invisiblenetwork.ai/learn/nptel/111107523/7bb452f9612d) (YouTube)
22. [Drug Distribution](https://invisiblenetwork.ai/learn/nptel/111107523/b317c2087d57) (YouTube)
23. [Growth and decay in L-R circuit](https://invisiblenetwork.ai/learn/nptel/111107523/8c8700abbcca) (YouTube)
24. [Rectilinear motion under variable force](https://invisiblenetwork.ai/learn/nptel/111107523/f5f18d30b9f5) (YouTube)
25. [Dynamice of Rowing](https://invisiblenetwork.ai/learn/nptel/111107523/173987981c70) (YouTube)
26. [Horizontal oscillations](https://invisiblenetwork.ai/learn/nptel/111107523/6a46ce7998c4) (YouTube)
27. [Vertical oscillations](https://invisiblenetwork.ai/learn/nptel/111107523/2663f7f5389b) (YouTube)
28. [Epidemic model 1](https://invisiblenetwork.ai/learn/nptel/111107523/0d58df5a752d) (YouTube)
29. [Epidemic model 2](https://invisiblenetwork.ai/learn/nptel/111107523/4fe1b4d16e5e) (YouTube)
30. [Rumor model](https://invisiblenetwork.ai/learn/nptel/111107523/d82ff7164bc3) (YouTube)
31. [Varying Gravity model](https://invisiblenetwork.ai/learn/nptel/111107523/051a8e0b087f) (YouTube)
32. [Tumor model I](https://invisiblenetwork.ai/learn/nptel/111107523/aa96c080ba23) (YouTube)
33. [Tumor model II](https://invisiblenetwork.ai/learn/nptel/111107523/df69f1e7b724) (YouTube)
34. [Vegetation in a desert model](https://invisiblenetwork.ai/learn/nptel/111107523/78b95a83d1ec) (YouTube)
35. [Mathematical model of love affairs](https://invisiblenetwork.ai/learn/nptel/111107523/eee315c7553c) (YouTube)
36. [Discrete models: Difference Equation 1](https://invisiblenetwork.ai/learn/nptel/111107523/27e12aea2a1d) (YouTube)
37. [Difference Equations 2](https://invisiblenetwork.ai/learn/nptel/111107523/b399328ed0da) (YouTube)
38. [Basics of Excel 4](https://invisiblenetwork.ai/learn/nptel/111107523/6a3f25c50a81) (YouTube)
39. [Stability Analysis I](https://invisiblenetwork.ai/learn/nptel/111107523/82b47b2233c3) (YouTube)
40. [Stability Analysis II](https://invisiblenetwork.ai/learn/nptel/111107523/1ab39ccbdbf3) (YouTube)
41. [Population models](https://invisiblenetwork.ai/learn/nptel/111107523/8f9843173d3e) (YouTube)
42. [Bank Account Models](https://invisiblenetwork.ai/learn/nptel/111107523/5225e7185312) (YouTube)
43. [Economic Model (Harrod Model)](https://invisiblenetwork.ai/learn/nptel/111107523/681872649607) (YouTube)
44. [Lake Pollutant Models](https://invisiblenetwork.ai/learn/nptel/111107523/19c339d889da) (YouTube)
45. [Mathematical Model of the Dynamics of Alcohol](https://invisiblenetwork.ai/learn/nptel/111107523/3ddccba015dd) (YouTube)
46. [Linear Predator-Prey Model](https://invisiblenetwork.ai/learn/nptel/111107523/734845853e9c) (YouTube)
47. [Forsenic Model](https://invisiblenetwork.ai/learn/nptel/111107523/94c87203efc2) (YouTube)
48. [Drug Delivery Models](https://invisiblenetwork.ai/learn/nptel/111107523/44065ef1267c) (YouTube)
49. [Lanchester's Combat Model](https://invisiblenetwork.ai/learn/nptel/111107523/3673bd821b81) (YouTube)
50. [Two-Species Competition Model (Discrete)](https://invisiblenetwork.ai/learn/nptel/111107523/a9cdca72e5e9) (YouTube)
51. [Infection model](https://invisiblenetwork.ai/learn/nptel/111107523/070ff4da1a8a) (YouTube)
52. [Smoking Model](https://invisiblenetwork.ai/learn/nptel/111107523/990458c336a2) (YouTube)
53. [Price and Demand Model](https://invisiblenetwork.ai/learn/nptel/111107523/86d12f678143) (YouTube)
54. [Paper towel model, Burning Calories Model](https://invisiblenetwork.ai/learn/nptel/111107523/ea8ed794eebb) (YouTube)
55. [Learning model, Kidney function Model](https://invisiblenetwork.ai/learn/nptel/111107523/1092cd9046c7) (YouTube)
56. [Empirical Modeling](https://invisiblenetwork.ai/learn/nptel/111107523/367b10bad562) (YouTube)
57. [Estimation of Parameters - I](https://invisiblenetwork.ai/learn/nptel/111107523/8aab269a57fc) (YouTube)
58. [Estimation of Parameters II](https://invisiblenetwork.ai/learn/nptel/111107523/910f38a3cf6a) (YouTube)
59. [Estimation of Parameters III](https://invisiblenetwork.ai/learn/nptel/111107523/d0c39ff81367) (YouTube)
60. [Simulation Modeling](https://invisiblenetwork.ai/learn/nptel/111107523/8cecab6ac9ad) (YouTube)