IIT Roorkee has organised the Advanced Engineering Mathematics free online course while keeping in mind the usage of mathematics in engineering. The application of Advanced Mathematics in diverse fields of Engineering and Sciences such as Signal processing, Potential theory, Bending of beams etc is unparalleled. This course introduces the students to the various mathematical principles involved in the design and use of engineering principles.

#### Who can enrol in the free online course?

This is an Undergraduate level course intended for UG-PG students in the Engineering stream. But anyone can enrol in the course. The only prerequisite is that you also should have the desire to expand the horizon of your knowledge. Moreover, this course is a must-take as Mathematics is so fundamental and common in all engineering courses.

#### Timeline of the course

This Elective course has a duration of 12 weeks. It will start on 26 Jul 2021 and end on 15 October 2021. If you want the certificate, you have to give a proctored exam on 24 October 2021. The last date to enrol is 02 August 2021.

#### Who will teach this Advanced Engineering Mathematics course?

The instructor Dr P N Agarwal, a Professor in the Department of Mathematics, IIT Roorkee currently supervises 8 PhD students. His area of research includes approximation Theory and Complex Analysis. He has also supervised nine PhD theses and published more than 187 research papers. For NPTEL, Dr Agarwal has delivered 13 video lectures on Engineering Mathematics. He has also completed the online certification course “Mathematical methods and its applications” jointly with Dr SK Gupta. (Same Department)

#### What will the course teach?

This is a 12-week-long course. According to the course itinerary and IIT Roorkee, the course 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.

The course will also shed light on the application of the 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 and continuous 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.

#### How to obtain a certificate from IIT Roorkee?

The course is free to enrol and learn. But if you want a certificate, you have to register and write the optional proctored exam. The fee for this exam is ₹ 1000. Also, the successful completion of the exam does not guarantee a certificate. To get a certificate, you need to get 25% from the assignments and 75% of the proctored certification exam score out of 100.

Final score = Average assignment score (>10/25) + Exam score (>30/75). If one of the 2 criteria is not met, you will still not get the certificate even if the Final score > 40/100.

This printable certificate will carry the stamp from both NPTEL and IIT Roorkee. Further, you can enrol in the free online course here.