Partial differential equations (PDE) is an important branch of Science. It has many applications in various physical and engineering problems. Thus the proposed course is helpful to the learners from Mathematics, Physics and Engineering background.
In this course mainly we have attempted to give some ideas about first order and second order linear PDE. Nonlinear PDE is discussed in the last Chapter shortly. The method of solving first-order and second order equations are illustrated taking many examples. There are also problems for self- assessment with answer. The entire course is divided into ten Chapters. Each Chapter is broken into few modules. The video and text of the modules are available on enrolment to this course. The enrolment for July 2021 semester has been started and will end on 31st August, 2021. The enrolment to this course is free of cost.
If the leaner find any difficulty to understand some problem, that can be discussed in the discussion forum in which course coordinator is also a member.
After completion of this course one may apply for a certificate.
| Course Status : | Completed |
| Course Type : | Core |
| Duration : | 15 weeks |
| Category : |
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| Credit Points : | 4 |
| Level : | Postgraduate |
| Start Date : | 05 Jul 2021 |
| End Date : | 31 Oct 2021 |
| Enrollment Ends : | 15 Sep 2021 |
| Exam Date : | 13 Nov 2021 IST |
Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.
Chapter 1- Basic Concepts of Partial Differential Equations
Chapter 2- First Order Partial Differential Equations
Chapter 3- Second Order Partial Differential Equations
Chapter 4- Elliptic Differential Equations
Chapter 5- Parabolic Differential Equations
Chapter 6- Hyperbolic Differential Equations
Chapter 7- Integral Transform Methods of Solving Partial Differential Equations
Chapter 8- Green’s Function of solving Partial Differential Equations
Chapter 9- Eigenfunction Approach
Chapter 10- Nonlinear Partial Differential Equations
Week 1: Chapter 1
Week 2: Chapter 1 and 2
Week 3: Chapter 2
Week 4: Chapter 3
Week 5: Chapter 4
Week 6: Chapter 5
Week 7: Chapter 6
Week 8: Revision of Chapter 1-6 and Assessment on Chapter 1-6
Week 9: Chapter 7
Week 10: Chapter 7
Week 11: Chapter 8
Week 12:Chapter 9
Week 13: Chapter 10
Week 14: Chapter 10
Week 15: Revision of Chapter 7-10 and Assessment from the entire syllabus
[1] Carrier, G. F. and Pearson, C.F.: Partial Differential Equations -Theory and Technique, Academic Press, New York (1976). [2] Chester, C. R. : Tecniques in Partial Differential Equations, Macgraw-Hill,NewYork (1971). [3] Duchaleau, P. and Zachmann, D.W.: Partial Differential Equations, (Schaum’s Outline Series in Mathematics), McGraw -Hill, NewYork (1968). [4] Greenberg, M. : Applications of Green’s Functions in Science and Engineering, Prentice -Hall, Eaglewood Cliffs, New Jersey (1971). [5] John. F. : Partial Differential Equations, Springer -Verlag, NewYork (1971). [6] Machie, A. G. : Boundary Value Problems, Oliver & Boyd, London (1965). [7] Mynt -U, T. : Partial Differential Equations of Mathematical Physics, American Elesevier Publishing Co, Inc. (1973). [8] Mynt -U, T and Debnath, L. : Linear Partial Differential Equations for Scientists and Engineers, Birkhäuser, Boston (2007). [9] Rao, K. Sankara : Introduction to Partial Differential Equations, Prentice-Hall of India Private Limited, New Delhi (1997). [10] Sanyal. D.C. : Partial Differential Equations, (Study Material), Netaji Subhas Open University, Kolkata. [11] Sharma, J. N. and Sing, K. : Partial Differential Equations for Engineers and Scientists, Narosa Publishing House, New Delhi (2001). [12] Sneddon, I. N. : Elements of Partial Differential Equations, McGraw Hill Book Co, Singapur (1986). [13] Stephenson, G. : An Introduction to Partial Differential Equations for Science Students, ELBS series & Longman, London (1977). [14] Tychonov, A. N. and Samarki, A. A. : Partial Differential Equations of Mathematical Physics, Vol -I, Holden -Day, London (1964). [15] Weinberger, H. F. : A first Course in Partial Differential Equations, Blaisdell Publishing Co., New York (1965). |
At the end of this course an examination will be conducted by CEC, UGC. After successful completion of examination, a certificate will be issued by the host University after payment of registration fees. All information will be notified in the SWAYAM platform.
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