Course Name: Engineering Mathematics II

Course abstract

This course is about the basic mathematics that is fundamental and essential component in all streams of undergraduate studies in sciences and engineering. The course consists of topics in complex analysis,numerical analysis, vector calculus and transform techniques with applications to various engineering problems. This course will cover the following main topics.Function of complex variables. Analytic functions. Line integrals in complex plane. Cauchy’s integral theorem, Derivatives of analytic functions. Power series, radius of convergence. Taylor’s and Laurent’s series, zeros and singularities, residue theorem.Iterative method for solution of system of linear equations. Finite differences, interpolation. Numerical integration. Solution of algebraic and transcendental equations.Vector and scalar fields. Limit, continuity, differentiability of vector functions. Directional derivative, gradient, curl, divergence. Line and surface integrals, Green, Gauss and Stokes theorem.Laplace transform and its properties. Laplace Transform of specialfunction. Convolution theorem. Evaluation of integrals by LaplaceTransform. Solution of initial and boundary value problems.Fourier series representation of a function. Fourier sine and cosinetransforms. Fourier Transform. Properties of Fourier Transform.Applications to boundary value problems.


Course Instructor

Media Object

Prof. Jitendra Kumar

Jitendra Kumar is an Associate Professor at the Department of Mathematics, IIT Kharagpur. He completed his M.Sc. in Industrial Mathematics from IIT Roorkee and Technical University of Kaiserslautern, Germany in 2001 and 2003, respectively. He received his PhD degree in 2006 from Otto-von-Guericke University Magdeburg, Germany. He was Research Associate at the Institute for Analysis and Numerical Mathematics, Otto-von-Guericke University Magdeburg, Germany from 2006 to 2009. Dr. Kumar is the recipient of several recognized awards and fellowships, including Alexander von Humboldt fellowship, DAAD & DGF scholarships. His research interests include Numerical solutions of integro-differential equations, numerical analysis and modelling and simulations of problem in particulate systems.
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Teaching Assistant(s)

No teaching assistant data available for this course yet
 Course Duration : Jan-Apr 2021

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 Syllabus

 Enrollment : 18-Nov-2020 to 25-Jan-2021

 Exam registration : 15-Jan-2021 to 12-Mar-2021

 Exam Date : 25-Apr-2021

Enrolled

2296

Registered

76

Certificate Eligible

45

Certified Category Count

Gold

5

Silver

17

Elite

18

Successfully completed

5

Participation

6

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
Note:
We have taken best assignment score from both Jan 2020 and Jan2021 course
Engineering Mathematics II - Toppers list

GNANENDRA RAO CH 96%

RAJIV GANDHI UNIVERSITY OF KNOWLEDGE TECHNOLOGIES, IIIT SRIKAKULAM

DR MADHUSUDHANREDDY KOTLA 96%

VARDHAMAN COLLEGE OF ENGINEERING

Enrollment Statistics

Total Enrollment: 2296

Registration Statistics

Total Registration : 76

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.