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
Check anoda sample below
