MTH303 : Vector and Tensor Analysis (2018)

NATIONAL OPEN UNIVERSITY OF NIGERIA

Plot 91, Cadastral Zone, NnamdiAzikwe Express Way, Jabi-Abuja

FACULTY OF SCIENCE

January\February Examination 2018

 
Course Code: MTH303
Course Title:  Vector and Tensor Analysis
Credit Unit: 3
Time Allowed: 3 Hours
Total: 70 Marks
Instruction: Answer Question one and Any other 4 Questions
 
1. (a)   Prove that    (i)     (ii)    where  and are   differentiable  scalar function of and (8 marks)
(b)Prove that (8 marks)
(c) Let and , prove that (6 marks)
 
2. (a) Given that    and , evaluate (5 marks)
(d)Let , find  at the point (7 marks)
3. (a) Given that ,  and , then show that
(8 marks)
(b) Given that , evaluate (4 marks)
4. (a) Let  ,  and , find  (4 marks)
(b) If   , ,  and .
Find scalar p, q and  r such that (8 marks)
5. (a) Find the directional derivatives of at  in the direction
(8 marks)
(b) Let and , evaluate (4 marks)
6. (a) Given a vector  and  . Find (i)   (ii)  at
the point  (1, -1, 1).                                                                                                    (8 marks)
(b)  If   and   are  the solutions of the Laplace equation, show that (4 marks)
You can get the exam summary answers for this course from 08039407882

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