Course abstract
This course is a basic course offered to UG/PG students of Engineering/Science background. It contains basics of matrix algebra, computer arithmetic, conditioning and condition number, stability of numerical algorithms, vector and matrix norms, convergent matrices, stability of non-linear systems, sensitivity analysis, singular value decomposition (SVD), algebraic and geometric properties of SVD, least square solutions, Householder matrices and applications, QR method, Power method and applications, Jacobi method for finding the eigenvalues of a given matrix. This course has tremendous applications in diverse fields of Engineering and Sciences such as control theory, image processing, numerical analysis and dynamical systems etc.
Course Instructor
Prof. P. N. Agrawal
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 187 research papers in reputed international journals of the world. Currently, he is supervising eight research students.
Teaching Assistant(s)
Course Duration : Jan-Apr 2020
View Course
Enrollment : 18-Nov-2019 to 03-Feb-2020
Exam registration : 16-Dec-2019 to 20-Mar-2020
Exam Date : 26-Apr-2020
Enrolled
1261
Registered
25
Certificate Eligible
15
Certified Category Count
Gold
0
Silver
3
Elite
6
Successfully completed
6
Participation
3
Success
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Category : Successfully Completed
Elite
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Category : Elite
Silver
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Category : Silver
Gold
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Category : Gold
Legend
AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75 AND FINAL SCORE >=40BASED ON THE FINAL SCORE, Certificate criteria will be as below:
>=90 - Elite + Gold
75-89 -Elite + Silver
>=60 - Elite
40-59 - Successfully Completed
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: 1261
Registration Statistics
Total Registration : 100
Assignment Statistics
Exam score
Final score