Course Name: Multivariable Calculus

Course abstract

This course is a basic course offered to UG and PG students of Engineering/Science background. It contains matrices computations involving rank, eigen values, eigen vectors, singularity transformations, (diagonalisation, Joradan canonical etc). It also convers vectors spaces, basis and dimension, linear transformation and their properties. Besides discussing the matrix theory, it also includes its applications in solving diverse science and engineering problems.


Course Instructor

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Prof. S. K. Gupta

Dr. S. K. Gupta is an Associate Professor in the Department of Mathematics, IIT Roorkee. His area of expertise includes nonlinear, non-convex and Fuzzy optimization. He has guided three PhD thesis and have published more than 40 papers in various international journals of repute.


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Prof. Sanjeev Kumar

Prof. Sanjeev Kumar is working as an associate professor with Department of Mathematics, IIT Roorkee. Earlier, he worked as a postdoctoral fellow with Department of Mathematics and Computer Science, University of Udine, Italy and assistant professor with IIT Roorkee. He is actively involved in teaching and research in the area of computational algorithms, inverse problems and image processing. He has published more than 55 papers in various international journals conferences of repute. He has completed a couple of sponsored research projects and written several chapters in reputed books published with Springer and CRC press. So far, he has completed three MOOC courses namely, Numerical Methods, Multivariable Calculus and Matrix Analysis with Applications under NPTEL program.
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Teaching Assistant(s)

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

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 Syllabus

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

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

 Exam Date : 21-Mar-2021

Enrolled

1313

Registered

65

Certificate Eligible

42

Certified Category Count

Gold

0

Silver

14

Elite

14

Successfully completed

14

Participation

8

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 6 out of 8 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
Multivariable Calculus - Toppers list

RAHUL CHAKRABORTY 86%

TECHNO INDIA, SALT LAKE, WEST BENGAL

SOUVIK DUTTA 85%

HALDIA INSTITUTE OF TECHNOLOGY

SAGAR NINGONDA SANKESHWARI 85%

NMIMS, NAVI MUMBAI

Enrollment Statistics

Total Enrollment: 1313

Registration Statistics

Total Registration : 65

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.