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.

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

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 : 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

Mathematics for Biological Scientists, M. Aitken, B. Broadhursts, S. Haldky, Garland Science (2009)

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

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams:**24 April 2022** Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.

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. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

**CRITERIA TO GET A CERTIFICATE**

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

**YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.**

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.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams:

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. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam 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.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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