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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