# MATHEMATICS AND STATISTICS FOR COMPUTING

Paper, Order, or Assignment Requirements

MATHEMATICS AND STATISTICS FOR COMPUTING

(MS1S401)

Coursework One
(25% of module)

Instructions to candidates:

Please hand a printed copy of this to your lecturer during the lecture of Tuesday 6th January 2015.
Please include the following details on the cover:

Name :
Enrolment No. :
Module :
Module Code:
Year :

Answer all Questions. Total: 50 marks.
Hand in a printed copy of any screenshots along with the answers generated. When an online calculator is used (or mathematical software), screenshots should be provided along with appropriate referencing (otherwise no marks will be awarded).

Q1.      (a)        Use an appropriate integer division algorithm in tabular form, to
evaluate the quotient and remainder for the division of 41/(7).
(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(4 marks)
Q2.      (a)        Use the prime factor algorithm in tabular form, to determine the prime
factors of 210.
(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(4 marks)
Q3.      (a)        Use Euclid’s algorithm in tabular form to determine the greatest common
divisor of 918 and 1043.
(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(4 marks)
Q4.      (a)        A universal set has subsets

List the following sets
(i)
(ii)
(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(6 marks)
Q5.      (a)        Solve mathematically the following equations for and .
(b)        Use an online calculator or mathematical software to solve for and the
following systems of equations.

(c)        Use an online tool or mathematical software to plot the curves in (b) and show
the solution values. Include screenshots and appropriate referencing.
(6 marks)

Q6.      (a)        Find the sum of the first twenty-two terms of the following A.P.

(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(5 marks)
Q7.      (a)        Use Pascal’s Triangle to expand .
(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(5 marks)
Q8.      (a)        Use an appropriate algorithm in tabular form to calculate in Octal.
(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(5 marks)
Q9.      (a)        Use Matrix methods to solve the following system of equations.

(b)        Use an online calculator or mathematical software to evaluate the above.
Include screenshots and appropriate referencing.
(c)        Use Gaussian elimination to solve the system of equations in part (a)
above.

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