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Swayam Central

Introductory Mathematical Methods for Biologists

By Prof. Ranjit Padinhateeri   |   IIT Bombay
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
PREREQUISITES        : Core
INDUSTRY SUPPORT  : NILL

Learners enrolled: 151

SUMMARY

Course Status : Upcoming
Course Type : Core
Duration : 8 weeks
Start Date : 24 Feb 2020
End Date : 17 Apr 2020
Exam Date : 26 Apr 2020
Enrollment Ends : 24 Feb 2020
Category :
  • Biological Sciences & Bioengineering
  • Level : Undergraduate/Postgraduate
    This is an AICTE approved FDP course

    COURSE LAYOUT

    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 3  : Plotting Curves , Numerical Calculation of Derivatives, Partial 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
      
    Week 4  : Integration and their Graphical Understanding 

    Lecture 16 : Integration
    Lecture 17 : Integration:Rules
    Lecture 18 : Graphical Understanding
    Lecture 19 : Integration:More Examples
    Lecture 20 : Integration: Product of Two Functions

    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

    BOOKS AND REFERENCES

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

    INSTRUCTOR BIO

    Prof. Ranjit Padinhateeri

    IIT Bombay
    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

    COURSE CERTIFICATE

    • 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: 26th April 2020, 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.

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