This course is a straightforward course readily available to UG student of Engineering/Science background. It has solution of system of linear equations, roots of non-direct equations, interpolation, numerical differentiation and also integration. It plays a vital duty for resolving various design sciences troubles. Thus, it has actually significant applications in varied areas in engineering sciences.

You watching: Numerical methods online course

Course Status : Completed
Course Type : Core
Duration : 8 weeks
Start Date : 26 Aug 2019
End Date : 18 Oct 2019
Exam Date : 16 Nov 2019 IST
Group : Mathematics
Crmodify Points : 2
Level : Undergraduate

Week 1:Review to considerable digits and errors, Solution of system of straight Equations (direct methods, Iterative techniques, Ill-conditioned systems)Week 2:Roots of Nonlinear Equations (Biarea technique, Regula-Falsi technique, Newton-Raphkid technique, Fixed allude iteration method, convergence criteriaWeek 3:Eigenworths and also Eigenvectors, Gerschgorin circle theorem , Jacobi strategy, Power methodsWeek 4:Interpolation (Finite difference operators, difference tables, Newton"s Forward/Backward difference)Week 5:Interpolation ( Central distinction formula"s i.e. Bessel and also Stirling’s interpolation formulae, Divided differences, Lagselection interpolation and Newton’s split difference interpolation)Week 6:Numerical Differentiation (Using Forward/ Backward/central difference formula) Week:7 Integration (Trapezoidal and Simpson"s rules for integration)Week 8:Solution of first order and also second order ordinary differential equations (Euler approach, Euler modified method, Runge-Kutta methods, Milne COMPUTER method)
1. Gerald, C. F. and Wheatly, P. O.," Applied Numerical Analysis", sixth Edition, Wesley.2. Jain, M. K., Iyengar, S. R. K. and also Jain, R. K., "Numerical Methods for Scientific and also Engineering Computation", New Age Pvt. Pub, New Delhi.3. Conte, S. D. and also De Boor, C., "Elementary Numerical Analysis", Mc Graw Hill Publisher.4. Krishnamurthy, E. V. & Sen, S. K., "Applied Numerical Analysis", East West Publication.

Prof. Ameeya Kumar Nayak
is Associate Professor in Department of Mathematics at IIT Roorkee and also actively connected in teaching and also study in the direction of numerical modeling of liquid flow troubles for last ten years. His research interests are in the fundamental expertise of species move in macro and micro-range confinements with applications in bioclinical devices and micro electro mechanical units. He has actually authored and co-authored even more than 28 peer-reviewed journal records, which includes publications in Springer, ASME, Amerihave the right to Chemical Society and Elsevier journals. He is additionally energetic in writing book chapter with reputed international publication home.

Prof.Sanjeev Kumar
is functioning as an associate professor with Department of Mathematics, IIT Roorkee. Earlier, he operated as a postdoctoral fellow via Department of Mathematics and also Computer Science, College of Udine, Italy and also assistant professor via IIT Roorkee. He is actively associated in teaching and also research study in the area of computational algorithms, inverse problems and image processing. He has actually publimelted more than 55 documents in various global journals conferences of repute. He has completed a couple of funded research projects and also composed numerous chapters in considered books publiburned via Springer and also CRC push.

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The course is complimentary to enroll and learn from. But if you want a certificate, you need to register and create the proctored exam carried out by us in person at any type of of the designated exam centers.The exam is optional for a fee of Rs 1000/- (Rupees one thousand also only).Date and also Time of Exams: 1sixth November 2019,
Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.Registration url: Announcements will be made as soon as the registration form is open for registrations.The virtual registration develop has to be filled and the certification exam fee needs to be passist. More details will be made accessible as soon as the exam registration form is publiburned. If tbelow are any kind of changes, it will certainly be pointed out then.Please check the form for even more details on the cities wbelow the exams will be organized, the conditions you agree to once you fill the create and so on.
Mean assignment score = 25% of average of best 6 assignments out of the complete 8 assignments offered in the course.Exam score = 75% of the proctored certification exam score out of 100Final score = Typical assignment score + Exam score
.If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.Only the e-certificate will be made accessible. Hard duplicates are being disongoing from July 2019 semester and will certainly not be dispatched.