Design and Implementation of Computer Software for the Solution of Linear Equation
Chapter One
OBJECTIVES OF THE STUDY
The main concern of this project work is to study the methods and processes for solving linear equations.
A careful study of the method of solution (Linear equation) and application revealed errors and problems affecting the effectiveness and efficiency of the system are detected and corrective recommendations are made.
A new computerized system designed and implemented to take care of the solution system (Linear equation), this made the process involved to be more timely, more accurate and the whole solution system more efficient.
The generality of the task involved was made easy and interesting as the system now makes early generation of results.
CHAPTER TWO
LITERATURE REVIEW
A LINEAR EQUATION DEFINITION
As earlier state a linear equation is algebraic equation, which is constructed by equating two linear functions.
Since linear equations can only contain functions that are linear n the variable of interest (i.e. first degree polynomials). i.e. terns such as X2, Y ½ and XY are not allowed in linear equation.
FORMS OF A LINEAR EQUATION
Complicated linear equations, can be written using the laws of elementary algebra into several simpler forms in which capital letters represent constant, which X and Y are variables.
GENERAL FORM
AX + BY + C = 0
Hence A and B are not both equal to Zero, the solution is usually written so that A≥ O, by convention. The graph of the equation is a straight line can be represented by an equation in the form above. If A is a nonzero, then X intercept, that is the X co-ordinate of the point where the graph crosses the X axis is –C/A, if B is nonzero, then the Y-intercept, that is the Y cp-ordinate of the point where the graph crosses the Y-axis is – C/B, and the slope of the line is –A/B.
STANDARD FORM
AX + BY = D
Here A and B are not both equal to zero. As above usually A ≥ O. The standard form can be converted to the general form by setting C= – D.
INTERCEPT FORM
X/E + Y/F = 1
Here E and F must be nonzero. The graph of the equal has X intercept E has Y –intercept F. The intercept form can be converted to the standard form by setting A = 1/E, B = 1/F and D = 1
CHAPTER THREE
DESCRIPTION AND ANALYSIS OF EXISTING SYSTEM
The existing system is manually an oriented system. All the activities involved in the application of solving linear equation and the analysis of it’s accuracy is carried out manually.
The manual approach of the solution of linear equation is with lots of difficulties and inaccuracy of work operations, this is because the solution methods are often iterative and involves repetitive arithmetic operations (division, multiplication, addition and subtraction) of results gotten after the operation are not easy to comeby)
Solving of linear equation may sometimes comprise so many terms and variables, and these variables and terms may not be kept adequately by the human brain and because of it’s limitations in retention this may lead to computational errors which in turn generates a suicide information (result).
Hence this implies that the methods of information in storage processing and retrieval are not meeting the developmental attainment meaty for these solution systems as it delays and produces poor result at the end.
The manual system makes the solution methods very tedious and above all expensive, these is always relative evaluation of work and analysis in order to ascertain some degree of accuracy. This process waste more time and increases cost to conduct. It expresses an institution to risk oversigntness and depreciation. These problems in the manual application of solution of linear equation hinders the smooth operations and applications and invaluably delays positive decision policy to be made.
CHAPTER FOUR
DESIGN OF THE NEW SYSTEM
The new computerized system is designed to meet up with the modern technological advancement and to take care of the obstacles hindering the activities of the existing (manual) system.
In designing the new computerized system certain factors were considered with respect to the problems of the manual system, these factors includes; the storage area, information retrieval processing and generating reports were carefully analyzed and modified to meet the development rate of ht society.
The new system is very much reliable and automatic init’; storage, processing, retrieval and approaches to data.
CHAPTER FIVE
IMPLEMENTATION
At this stage the project entails the study or the details setout in the system specification having completed the design of the system, the implementation starts with the organisation of the right and appropriate hardware and software as a requirement for a full function operation of the system. These requirements have been outlined and detailed in the previous chapter under the system requirements the system was fully documented to acquire the true knowledge of design, which involves the co-ordination of the effort on the user.
CHAPTER SIX
DOCUMENTATION
The document is divided into two sections namely;
(i) Program structure that describes the functional logical relationship amongst the various parts of the program.
(ii) User’s guide, here is the explanation made to the potential user on how to get about using the program.
CHAPTER SEVEN
RECOMMENDATION AND CONCLUSION
RECOMMENDATION
For a complete reliable and easy application of linear equation a comprised system has to be introduced to take care of computational activities involved in Linear equation.
In practical work it is recommended that a more enhanced mode of entry be added to speed up thee rate which result is gotten.
A system Analyst/programmer and operation research analyst must be sort for, so that a more careful and accurate use and implementation of solution system to life’s circumstances be made so that development can be met.
CONCLUSION
In conclusion of this project Government and Organization should make efforts like funding into the research into Linear equation solution so that mathematician can adopt this new computerized system which make computation (calculation) easier for their workers and maximizes productivity.
Computerized Linear equation solution is very easy, efficient and effective if handled by experts and can yield expected result at a very minimum cost.
REFERENCES
- Adu D.B (2004) Comprehensive Mathematics for Senior Secondary School; A Johnson Publishers, Ltd, Lagos Revised Edition pp 53 –56.
- Bakke W. Thomas (1984) Data and Information Processing Computer Equity Ltd, London; p 54.
- Channon J. B et al (1987) New General Mathematics for West Africa, Ilorin Longman Group UK Ltd; Third Edition pp 57-61
- Smith B. L et al (2000) Wikipedia Encyclopedia, New York McGraw Ltd, 4th Edition p. 17.
- Whitten. L. Jeffrey et al (2003) System Analysis and Design Method, New Yoke Irwin/ McGraw –Hill Inc p.103.
