It is an introductory mathematics course for biology students with the aim of training them to do quantitative analysis of biological systems. Students will be trained on how to use the language of mathematics to describe biological processes, how to write down simple mathematical equations for various phenomena occurring in biology.
INTENDED AUDIENCE: Students, PhD scholars, teachers, industry
UG/PG: UG and PG(both)
ABOUT THE INSTRUCTOR:
Prof.Ranjith Padinhateeri completed his MSc and PhD in Physics from IIT Madras. During PhD he studied statistical mechanics of DNA. After PhD he did post-doctoral research in University of Illinois Chicago, USA, Northwestern University. Evanston, USA, and Institute Curie, Paris, France. He does his research in the broad area of biological physics. Prof.Ranjith Padinhateeri does theoretical studies to understand various biological phenomena using a variety of tools from physics, including equilibrium and non-equilibrium statistical mechanics, polymer physics, and soft-matter theory. He tackle research problems using a combination of computational and analytical methods. His Specific areas of interest include Nucleosome dynamics, Chromatin assembly, DNA mechanics and self-assembly of proteins
Week 1 : Introduction, Graphs and Functions
Lecture 1 : Introduction Lecture 2 : Graphs and Functions Lecture 3 : Equations as Graphs Lecture 4 : Exponential and Periodic Functions Lecture 5 : Logarithmic and Other Functions
Week 2 : Functions and its Derivatives, Computing Derivatives of Curves
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
Week 5 : Vectors : Position and Movement in 2D, Cell Symmetry : Use of Polar Coordinates
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
Week 6 : Gradient, Forces and Flows , Understanding Diffusion
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
Week 7 : Introduction to Fourier series , Fourier Transform and Statistics
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
Week 8 : Basics of bio-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
SUGGESTED READING MATERIALS:
Mathematics for Biological Scientists, M. Aitken, B. Broadhursts, S. Haldky, Garland Science (2009)
CERTIFICATION EXAM :
The exam is optional for a fee.
Date and Time of Exams: April 28 (Saturday) and April 29 (Sunday) : Afternoon session: 2 PM to 5 PM
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.
Final score will be calculated as : 25% assignment score + 75% final exam score
25% assignment score is calculated as 25% of average of Best 6 out of 8 assignments
E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Bombay.It will be e-verifiable at nptel.ac.in/noc.