# Introductory Mathematical Methods for Biologists

- Institution: IIT Bombay
- Department: Biotechnology
- Teacher: Prof. Ranjit Padinhateeri
- Level: Undergraduate
- Language: English
- Subjects: Biology
- Source: [NPTEL](https://nptel.ac.in/courses/102101067)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/102101067)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1 : Introduction](https://invisiblenetwork.ai/learn/nptel/102101067/9db797050b40) (Video)
2. [Lecture 2 : Graphs and Functions](https://invisiblenetwork.ai/learn/nptel/102101067/471f8c91db7d) (Video)
3. [Lecture 3 : Equations as Graphs](https://invisiblenetwork.ai/learn/nptel/102101067/c6d734829179) (Video)
4. [Lecture 4 : Graphs : Exponential and Periodic Functions](https://invisiblenetwork.ai/learn/nptel/102101067/704d4e2de55e) (Video)
5. [Lecture 5 : Graphs : Logarithmic and Other Functions](https://invisiblenetwork.ai/learn/nptel/102101067/57bc3af83928) (Video)
6. [Lecture 6 : Images as 2D/3D Functions](https://invisiblenetwork.ai/learn/nptel/102101067/578b35f1e92a) (Video)
7. [Lecture 7 : Functions and its Derivatives](https://invisiblenetwork.ai/learn/nptel/102101067/5a5ad07c21bf) (Video)
8. [Lecture 8 : Computing Derivatives of Curves](https://invisiblenetwork.ai/learn/nptel/102101067/73f94f6c2332) (Video)
9. [Lecture 9 : Rules for Calculating Derivatives](https://invisiblenetwork.ai/learn/nptel/102101067/a3aea4d560b7) (Video)
10. [Lecture 10 : Understanding Derivatives](https://invisiblenetwork.ai/learn/nptel/102101067/497c2eea7cff) (Video)
11. [Lecture 11 : Curvature and Second Derivative](https://invisiblenetwork.ai/learn/nptel/102101067/f759fcce620a) (Video)
12. [Lecture 12: Plotting Curves](https://invisiblenetwork.ai/learn/nptel/102101067/cef1b65bc73a) (Video)
13. [Lecture 13: Numerical Calculation of Derivatives](https://invisiblenetwork.ai/learn/nptel/102101067/ecb73f2e238f) (Video)
14. [Lecture 14: Function, Derivatives and Series Expansion](https://invisiblenetwork.ai/learn/nptel/102101067/39a262b4d62b) (Video)
15. [Lecture 15: L'Hopital's Rule and Partial Derivatives](https://invisiblenetwork.ai/learn/nptel/102101067/8afb346d4cc6) (Video)
16. [Lecture 16 : Integration](https://invisiblenetwork.ai/learn/nptel/102101067/9f98a72e8519) (Video)
17. [Lecture 17 : Integration : Rules](https://invisiblenetwork.ai/learn/nptel/102101067/896d246af338) (Video)
18. [Lecture 18 : Integration : Graphical Understanding](https://invisiblenetwork.ai/learn/nptel/102101067/3d804ed43f96) (Video)
19. [Lecture 19 : Integration : More Examples](https://invisiblenetwork.ai/learn/nptel/102101067/9c696d8345b3) (Video)
20. [Lecture 20 : Integration : Product of Two Functions](https://invisiblenetwork.ai/learn/nptel/102101067/bcfe214ad2c5) (Video)
21. [Lecture 21 : Exponential Growth and Decay](https://invisiblenetwork.ai/learn/nptel/102101067/a9544cae9dbe) (Video)
22. [Lecture 22 : Scalars and Vectors](https://invisiblenetwork.ai/learn/nptel/102101067/4550cd98a0da) (Video)
23. [Lecture 23 : Vectors : Position and Movement in 2D](https://invisiblenetwork.ai/learn/nptel/102101067/cdd716fddf9e) (Video)
24. [Lecture 24 : Cell Symmetry : Use of Polar Coordinates](https://invisiblenetwork.ai/learn/nptel/102101067/06a4dc24c83d) (Video)
25. [Lecture 25 : Gradient, Forces and Flows : Part I](https://invisiblenetwork.ai/learn/nptel/102101067/23a3da78d126) (Video)
26. [Lecture 26 : Gradient, Forces and Flows : Part II](https://invisiblenetwork.ai/learn/nptel/102101067/c53312a79159) (Video)
27. [Lecture 27 : Understanding Diffusion](https://invisiblenetwork.ai/learn/nptel/102101067/0f7b782b6667) (Video)
28. [Lecture 28 : Diffusion Constant and Einstein Relation 1905](https://invisiblenetwork.ai/learn/nptel/102101067/0f42e51da1ff) (Video)
29. [Lecture 29 : Diffusion Equation](https://invisiblenetwork.ai/learn/nptel/102101067/f13354e38687) (Video)
30. [Lecture 30 : Diffusion vs. Active Transport](https://invisiblenetwork.ai/learn/nptel/102101067/31c06ba69ff3) (Video)
31. [Lecture 31 : Nernst Equation](https://invisiblenetwork.ai/learn/nptel/102101067/b8183279a2d2) (Video)
32. [Lecture 32 : Fourier Series : Part I](https://invisiblenetwork.ai/learn/nptel/102101067/73044e756777) (Video)
33. [Lecture 33 : Fourier Series : Part II](https://invisiblenetwork.ai/learn/nptel/102101067/ba6ae8f3464e) (Video)
34. [Lecture 34 : Fourier Transform](https://invisiblenetwork.ai/learn/nptel/102101067/6f812fe2df1a) (Video)
35. [Lecture 35 : Introduction to Statistics](https://invisiblenetwork.ai/learn/nptel/102101067/390eb0ea4278) (Video)
36. [Lecture 36 : Mean, Standard deviation and Distribution](https://invisiblenetwork.ai/learn/nptel/102101067/fed27c3da844) (Video)
37. [Lecture 37 : Frequency Distribution and Probability Distribution](https://invisiblenetwork.ai/learn/nptel/102101067/2631075b3d37) (Video)
38. [Lecture 38 : Binomial Distribution](https://invisiblenetwork.ai/learn/nptel/102101067/5be0194205ac) (Video)
39. [Lecture 39 : Normal Distribution](https://invisiblenetwork.ai/learn/nptel/102101067/3bd8acec78a6) (Video)
40. [Lecture 40 : Hypothesis Testing and Mathematical Modeling](https://invisiblenetwork.ai/learn/nptel/102101067/7e9c059a69af) (Video)