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Courses » Multivariable calculus

Multivariable calculus

ABOUT THE COURSE
This course is a basic course offered to UG and PG students of Engineering/Science background. It contains various topics related to the calculus of the functions of two or more variables. In particular, this course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.

INTENDED AUDIENCE
UG students of technical universities/colleges
It is a core course for UG.

PRE-REQUISITES
None

INDUSTRY SUPPORT – LIST OF COMPANIES/INDUSTRY THAT WILL RECOGNIZE/VALUE THIS ONLINE COURSE
None

1384 students have enrolled already!!

COURSE INSTRUCTORS





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.



Dr. 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.


COURSE LAYOUT

Week 1: Limits, continuity and partial derivatives of multivariable functions

Week 2: Differentiability and chain rule

Week 3: Change of variables, Euler’s theorem, tangent planes, normal lines and extreme values

Week 4: Taylor’s theorem, error approximation, polar curves and multiple integrals

Week 5: Change of order and change of variables in multiple integral

Week 6: Beta and gamma functions

Week 7: Normal vector and potential field
 
Week 8:
vector identities and line integral

SUGGESTED READING

1. E. Kreyszig, Advanced Engineering Mathematics, 9th edition, John Wiley and Sons, Inc., U.K. (2011)
2. R.K. Jain and S.R.K. Iyenger, Advanced Engineering Mathematics, 2nd Edition, Narosa Publishing House (2005)
3. M.D. Weir, J. Hass, F.R. Giordano, Thomas’ Calculus, 11th Edition, Pearson Education (2008)



CERTIFICATION EXAM

  • The exam is optional for a fee. 
  • Date of exams: March 31st 2019 (Sunday).
  • Time of Exams: Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm
  • Exam for this course will be available in both morning & afternoon sessions.
  • Final List of exam cities will be available in exam registration form.
  • Exam registration url - Will be announced shortly.

CERTIFICATE

•    Final score will be calculated as : 25% assignment score + 75% final exam score.
•    25% assignment score is calculated as 25% of average of  Best 6 out of 8 assignments.
•    E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and Roorkee. It will be e-verifiable at
nptel.ac.in/noc