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 308
COURSE TITLE: INTRODUCTION TO MATHEMATICAL MODELLING
TIME ALLOWED: 3 HOURS
INSTRUCTION: ANSWER  ANY 4 QUESTIONS
 
1.  (a) Explain the two basic mathematical modelling                                                                             (10 marks)
(b) Mention 5 types of  modelling                                                                                                       (5 marks)
(c) How would you  model speed                                                                                                         (2 ½ marks)
 
2.  (a)    What is dimension of a quantity                                                                                                    (5 marks)
(b)   State 4 rules for theoretical relationship between two or more variables of a dimensional quantity (8 marks)
(c)   State  dimensional formula for acceleration                                                                                 (4 ½  marks)
 
3. (a) What is  mathematical modelling                                                                                                     (6 marks)
(a)  Which types of modelling will you use for the  launching of a rocket  for meteorological purpose (6 ½  marks)
(b)  Classify the following into fundamental or derived quantities velocity,amount of subtance , speed ,acceleration,force, ,time ,work-done,power, temperature and mass (5 marks)
 
4. (a)   Explain the three essential steps you will follow to a model a problem                               (12 marks)
(b)  Formulate an equlibrium equation for demand and supply of a commodty     (5 ½ marks)
 
5. (a)  By using Newton’s law formulate a model for motion of  a simple pendulum                        (10 marks)
(b)  State the three interpretation of solution obtained for different formulation of the model of a simple pendulum (6 marks)
 
6. (a)   Explain the  interpretation of  solution of  a model                                                                        (5 marks)
(b)  State the three equtions of motion                                                                                                  (6 marks)
(c)    A rain drop begining at rest ,falls fom a cloud 705.6m above the ground .How long does it takes to reach the ground                                                                                                                         (61/2marks)
You can get the exam summary answers for this course from 08039407882

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