Biomathematics


Lecture 1 - Introduction


Lecture 2 - Graphs and functions - I


Lecture 3 - Graphs and functions - II


Lecture 4 - Functions and derivatives


Lecture 5 - Calculation of derivatives


Lecture 6 - Differentiation and its application in Biology - I


Lecture 7 - Differentiation and its application in Biology - II


Lecture 8 - Differentiation and its application in Biology - III


Lecture 9 - Differentiation and its application in Biology - IV


Lecture 10 - Integration - I


Lecture 11 - Integration - II


Lecture 12 - Differential equations - I


Lecture 13 - Differential equations - II


Lecture 14 - Vectors - I


Lecture 15 - Vectors - II


Lecture 16 - Vectors - III


Lecture 17 - Nernst equation


Lecture 18 - Diffusion - I : Diffusion equation


Lecture 19 - Diffusion - II : Mean-square displacement


Lecture 20 - Diffusion - III : Einstein’s relation


Lecture 21 - Statistics : Mean and variance


Lecture 22 - Statistics : Distribution function


Lecture 23 - Understanding Normal distribution


Lecture 24 - Fitting a function to experimental data


Lecture 25 - Size of a flexible protein: Simplest model


Lecture 26 - Uniform and Poisson distributions; Knudson’s analysis


Lecture 27 - Fourier Series - I


Lecture 28 - Fourier Series - II


Lecture 29 - Fourier transform


Lecture 30 - Master equation: Polymerization dynamics, Molecular motor motion


Lecture 31 - Evolution: Simplest model


Lecture 32 - Tutorial - I


Lecture 33 - Tutorial - II


Lecture 34 - Temperature, Energy and Entropy


Lecture 35 - Partition function, Free energy


Lecture 36 - Bending fluctuations of DNA and spring-like proteins


Lecture 37 - Force-extension and looping of DNA


Lecture 38 - Thermodynamics of protein organization along DNA


Lecture 39 - Learning mathematics with the help of a computer