Course abstract
This course is a basic course offered to PG students of Engineering/Science background. It contains Fredholm and Volterra integral equations and their solutions using various methods such as Neumann series, resolvent kernels, Green’s function approach and transform methods. It also contains extrema of functional, the Brachistochrone problem, Euler’s equation, variational derivative and invariance of Euler’s equations. It plays an important role for solving various engineering sciences problems. Therefore, it has tremendous applications in diverse fields in engineering sciences.
Course Instructor
Prof. P. N Agarwal
Dr. P. N. Agrawal is a Professor in the Department of Mathematics, IIT Roorkee. His area of research includes approximation Theory and Complex Analysis. He delivered 13 video lectures on Engineering Mathematics in NPTEL Phase I and recently completed Pedagogy project on Engineering Mathematics jointly with Dr. Uaday Singh in the same Department. Further he has completed online certification course Mathematical methods and its applications jointly with Dr. S.K. Gupta of the same department. He taught the course on Integral equations and calculus of variations several times to MSc (Industrial Mathematics and Informatics) students. He has supervised nine Ph.D. theses and has published more than 160 research papers in reputed international journals of the world. Currently, he is supervising six research students.
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Prof.D. N Pandey
Dr. D. N. Pandey is an Associate Professor in the Department of Mathematics, IIT Roorkee. Before joining IIT Roorkee he worked as a faculty member in BITS-Pilani Goa campus and LNMIIT Jaipur. His area of expertise includes semigroup theory, functional differential equations of fractional and integral orders. He has already prepared e-notes for course titled Ordinary Differential Equations and Special Functions under e- Pathshala funded by UGC. Also, he has published a book titled Nonlocal Functional Evolution Equations: Integral and fractional orders, LAP LAMBERT Academic Publishing AG Germany. He has delivered several invited talks at reputed institutions in India and abroad. He has guided three Ph.D. theses and has published more than 60 papers in various international journals of repute. Currently, he is supervising five research students.
Teaching Assistant(s)
Course Duration : Jul-Oct 2017
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Syllabus
Enrollment : 17-May-2017 to 24-Jul-2017
Exam registration : 30-Aug-2017 to 20-Sep-2017
Exam Date : 22-Oct-2017
Enrolled
2213
Registered
Certificate Eligible
17
Certified Category Count
Gold
0
Elite
6
Successfully completed
11
Participation
4
Success
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Category : Successfully Completed
Elite
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Category : Elite
Gold
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Category : Gold
Legend
>=90 - Elite + Gold
60-89 - Elite
40-59 - Successfully Completed
<40 - No Certificate
Final Score Calculation Logic
- Assignment Score = Average of best 8 out of 12 assignments.
- Final Score(Score on Certificate)= 75% of Exam Score + 25% of Assignment Score.
Enrollment Statistics
Total Enrollment: 2213
Registration Statistics
Total Registration : 28
Assignment Statistics
Exam score
Final score