NATIONAL OPEN UNIVERSITY OF NIGERIA
14/16 AHMADU BELLO WAY, VICTORIA ISLAND, LAGOS
SCHOOL OF SCIENCE AND TECHNOLOGY
MARCH/APRIL 2014 EXAMINATION
COURSE CODE: MTH 381
COURSE TITLE: MATHEMATICAL METHOD III
TIME ALLOWED: 3 HOURS
INSTRUCTION: ANSWERS ANY 4 QUESTIONS
1. (a) Evaluate the integral 4marks
(b) Evaluate the integeral 7 marks
(c) Show that the functions and are linearly independent on any interval 6 ½ mark
2. (a) Evaluate the surface integral where is the surface bounded by , . 10 marks
(b) Evaluate from A(0,1) to B(2,5) along the curve 7 ½ marks
3. (a) state Green’s theorem on the boundary C of a region R in the plane 7 ½ marks
(b) Evaluate the line integral round the region bounded by the curve
and by the use of Green’s theorem. 10 marks
4. (a) State Stoke’s theorem and express it in rectangular form 7 ½ marks
(b) Evaluate the integral 10 marks
5. (a) Evaluate the periodic function 7 ½ mark
(b) Find the Fourier coefficients of the periodic function where and 10 marks
6. (a) Find the laplace transform of 7 ½ marks
(b) Determine 10 marks
You can get the exam summary answers for this course from 08039407882
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