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)
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