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Course10210100339 lectures

Biomathematics

Dr. Ranjith Padinhateeri · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

Calculus

  1. L1-Introduction Video
  2. L2-Graphs and functions - I Video
  3. L3-Graphs and functions - II Video
  4. L4-Functions and derivatives Video
  5. L5-Calculation of derivatives Video
  6. L6-Differentiation and its application in Biology - I Video
  7. L7-Differentiation and its application in Biology - II Video
  8. L8-Differentiation and its application in Biology - III Video
  9. L9-Differentiation and its application in Biology - IV Video
  10. L10-Integration - I Video
  11. L11-Integration - II Video

Differential Equations

  1. L12-Differential equations-I Video
  2. L13-Differential equations - II Video

Vectors

  1. L14-Vectors - I Video
  2. L15-Vectors - II Video
  3. L16-Vectors - III Video

Applications of calculus and vector algebra in biology

  1. L17-Nernst equation Video
  2. L18-Diffusion-I : Diffusion equation Video
  3. L19-Diffusion - II: Mean-square displacement Video
  4. L20-Diffusion-III : Einstein’s relation Video

Probability and statistics in Biology

  1. L21-Statistics : Mean and variance Video
  2. L22-Statistics: Distribution function Video
  3. L23-Understanding Normal distribution Video
  4. L24-Fitting a function to experimental data Video
  5. L25-Size of a flexible protein: Simplest model Video
  6. L26-Uniform and Poisson distributions; Knudson’s analysis Video

Fourier series and Fourier transform

  1. L27-Fourier Series-I Video
  2. L28-Fourier Series-II Video
  3. L29-Fourier transform Video

Mathematical models in biology

  1. L30-Master equation: Polymerization dynamics, Molecular motor motion Video
  2. L31-Evolution: Simplest model Video

Tutorials

  1. L32-Tutorial - I Video
  2. L33-Tutorial-II Video

Statistical thermodynamics of biological systems

  1. L34-Temperature, Energy and Entropy Video
  2. L35-Partition function, Free energy Video
  3. L36-Bending fluctuations of DNA and spring-like proteins Video
  4. L37-Force-extension and looping of DNA Video
  5. L38-Thermodynamics of protein organization along DNA Video
  6. L39-Learning mathematics with the help of a computer Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Biotechnology
Teacher
Dr. Ranjith Padinhateeri
Level
Undergraduate
Language
English
Subjects
Biology
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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