Course Name: Advanced Engineering Mathematics

Course abstract

This course is a basic course offered to UG/PG students of Engineering/Science background. It contains Analytic Functions, applications to the problems of potential flow, Harmonic functions, Harmonic conjugates, Milne’s method, Complex integration, sequences and series, uniform convergence, power series,Hadamard’s formula for the radius of convergence, Taylor and Laurent series, zeros and poles of a function, meromorphic function, the residue at a singularity, Residue theorem, the argument principle and Rouche’s theorem, contour integration and its applications to evaluation of a real integral, integration through a branch cut, conformal mapping, application to potential theory, review of unilateral and bilateral Z-transforms and their properties, application of calculus of residues for the inversion formula of Z- transforms and Laplace transforms, review of Fourier integrals and Fourier transforms, Finite Fourier transforms, discrete Fourier transforms and applications,basic concepts of probability, Bayes theorem, probability networks, discrete andcontinuous probability distribution, joint distribution, correlation coefficient, applications to problems of reliability, queueing theory, service time for a customer in a facility and life testing, testing of hypotheses. This course has tremendous applications in diverse fields of Engineering and Sciences such as Signal processing, Potential theory, Bending of beams etc.


Course Instructor

Media Object

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 and two more courses namely “Integral equations and calculus of variations and its applications” and “Numerical Linear Algebra” with Dr. D. N. Pandey of the same department. He has taught engineering mathematics to B.Tech and M.Tech students at IIT Roorkeefor many years. He has supervised twelve Ph.D. theses and has published more than 200 research papers in reputed international journals of the world. Currently, he is supervising eight research students.
More info

Teaching Assistant(s)

Abhishek Kumar

P.hD

JITENDRA KUMAR SINGH

P.hD

 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

3946

Registered

14

Certificate Eligible

9

Certified Category Count

Gold

0

Silver

0

Elite

4

Successfully completed

5

Participation

0

Success

Elite

Silver

Gold





Legend

AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75 AND FINAL SCORE >=40
BASED 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
Advanced Engineering Mathematics - Toppers list

DEEPAK BANSAL 74%

University College of Engineering and Technology, Bikaner

Enrollment Statistics

Total Enrollment: 3946

Registration Statistics

Total Registration : 62

Assignment Statistics




Assignment

Exam score

Final score

Score Distribution Graph - Legend

Assignment Score: Distribution of average scores garnered by students per assignment.
Exam Score : Distribution of the final exam score of students.
Final Score : Distribution of the combined score of assignments and final exam, based on the score logic.