NPTEL : NOC:Introductory Mathematical Methods for Biologists (Biotechnology)

Co-ordinators : Dr. Ranjith Padinhateeri


Lecture 1 - Introduction

Lecture 2 - Graphs and Functions

Lecture 3 - Equations as Graphs

Lecture 4 - Graphs : Exponential and Periodic Functions

Lecture 5 - Graphs : Logarithmic and Other Functions

Lecture 6 - Images as 2D/3D Functions

Lecture 7 - Functions and its Derivatives

Lecture 8 - Computing Derivatives of Curves

Lecture 9 - Rules for Calculating Derivatives

Lecture 10 - Understanding Derivatives

Lecture 11 - Curvature and Second Derivative

Lecture 12 - Plotting Curves

Lecture 13 - Numerical Calculation of Derivatives

Lecture 14 - Function, Derivatives and Series Expansion

Lecture 15 - L'Hopital's Rule and Partial Derivatives

Lecture 16 - Integration

Lecture 17 - Integration : Rules

Lecture 18 - Integration : Graphical Understanding

Lecture 19 - Integration : More Examples

Lecture 20 - Integration : Product of Two Functions

Lecture 21 - Exponential Growth and Decay

Lecture 22 - Scalars and Vectors

Lecture 23 - Vectors : Position and Movement in 2D

Lecture 24 - Cell Symmetry : Use of Polar Coordinates

Lecture 25 - Gradient, Forces and Flows : Part I

Lecture 26 - Gradient, Forces and Flows : Part II

Lecture 27 - Understanding Diffusion

Lecture 28 - Diffusion Constant and Einstein Relation 1905

Lecture 29 - Diffusion Equation

Lecture 30 - Diffusion vs. Active Transport

Lecture 31 - Nernst Equation

Lecture 32 - Fourier Series : Part I

Lecture 33 - Fourier Series : Part II

Lecture 34 - Fourier Transform

Lecture 35 - Introduction to Statistics

Lecture 36 - Mean, Standard deviation and Distribution

Lecture 37 - Frequency Distribution and Probability Distribution

Lecture 38 - Binomial Distribution

Lecture 39 - Normal Distribution

Lecture 40 - Hypothesis Testing and Mathematical Modeling