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Courses » Computational Science and Engineering using Python

Computational Science and Engineering using Python

ABOUT THE COURSE:

Computing has become a major tool in science and engineering so much so that it is called the third pillar along with experiments and theory.  In this course, we first introduce Python programming language.  Then we cover basic numerical algorithms covering interpolation, integration, differentiation, ODE and PDE solvers, and basic linear algebra. Python implementation of these algorithms will be covered.

INTENDED AUDIENCE:
PG students of Science and Engg. (specially Physics, Mathematics, Mechanical, Aerospace, and Chemical Engineering).  Advance UG students too can take this course.

PREREQUISITE:
Basic knowledge of calculus, linear algebra, and ordinary and partial differential equations.  Basic knowledge of computing is recommended.

INDUSTRY SUPPORT:
Companies involved in Computational fluid dynamics, computational electrodynamics, etc.

INSTRUCTOR DETAILS:

Mahendra K. Verma is Professor in the physics department of IIT Kanpur. He is a leading researcher in computational and theoretical turbulence, and parallel computing. He and his group have developed a spectral code TARANG that can simulate variety of fluids. He has written a Textbook “Introduction to Mechanics”.


Amey Karkare is an Associate Professor in the department of Computer Science at IIT Kanpur since 2010. He received B.Tech in Computer Science from IIT Kanpur in 1998 and Ph.D. degree in Computer Science from IIT Bombay in 2008. His area of research are Compilers, Data Flow Analysis and Heap Analysis.

COURSE LAYOUT:
Week 1:  About computers, Python: Variables and Array
Week 2: Python: Control structures, Programming style
Week 3: Plotting, Errors, Data input/output, Mayavi
Week 4: Interpolation
Week 5: Numerical integration
Week 6: Differentiation, ODE solvers
Week 7: Fourier transforms, PDE solvers
Week 8: Linear Algebra, Summary

SUGGESTED READING:
1. Mark Newmann: Computational Physics with Python, 2nd Ed. (2012).
2. J. M. Stewart: Python for Scientists, Cambridge Univ. Press (2014).
3. M. Lutz: Learning Python, O′Reilly, 5th Ed. (2013).
4. J. H. Ferziger, Numerical Methods for Engineering Applications, John Wiley & Sons (1998).

CERTIFICATION EXAM:
• The exam is optional for a fee. Exams will be on 26 March 2017.
• Time: Shift 1: 9am-12 noon; Shift 2: 2pm-5pm
• Any one shift can be chosen to write the exam for a course.
• 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.

CERTIFICATES:
• Final score will be calculated as : 40% assignment score + 60% final exam score.
• E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% of the total marks. 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 KANPUR. It will be e-verifiable at nptel.ac.in/noc.