Automation Of Binomial Expansion Using Pascal Triangle
– Automation Of Binomial Expansion Using Pascal Triangle –
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ABSTRACT
This project gives a basic thing that is required to develop this application.
It also provides a guideline for running the binomial theory using Pascal triangle up to power 9 as well as giving instruction to the user on how to expand the binomial theory from power of 1,2,3 to the power also expand input box for the values and button command for the calculate, refresh and exit.
TABLE OF CONTENT
COVER PAGE – – I
TITLE PAGE – – II
APPROVAL PAGE – – III
CERTIFICATION PAGE – IV
DEDICATION PAGE – V
ACKNOWLEDGMENT – VI
ABSTRACT – VII
TABLE OF CONTENT – VIII
CHAPTER ONE
1.1 INTRODUCTION – 1
1.2 STATEMENT OF THE PROBLEMS 3
1.3 PURPOSE OF THE STUDY – – 4
1.4 SIGNIFICANCE OF THE STUDY – 4
1.5 SCOPE AND LIMITATION OF THE STUDY – 4
1.6 DEFINITION OF TERMS – 4
CHAPTER TWO
2.0 LITERATURE REVIEW – – 6
2.1 THE BINOMIAL THEOREM – – – 9
2.2 STATEMENT OF BINOMIAL THEOREM – – 11
2.3 PASCAL TRIANGLE AND THE BINOMIAL THEOREM – -11
2.4 USING PASCAL’S TRIANGLE TO EXPAND A BINOMIAL EXPRESSION – 12
2.5 DIAGONALS OF PASCAL TRIANGLE – – 13
2.6 NEWTON’S GENERAL BINOMIAL THEOREM – – 13
2.7 GENERALIZATION – – 14
2.8 THE MULTINOMIAL THEOREM – – 14
2.9 THE MULTINOMIAL THEOREM – – 15
CHAPTER THREE
3.0 RESEARCH METHODOLOGY – 16
3.16 SYSTEM ANALYSIS AND DESIGN – – 16
3.2 ANALYSIS OF THE EXISTING SYSTEM – – 16
3.3 ANALYSIS OF THE PROPOSE SYSTEM – – 16
3.4 SYSTEM DESIGN 17
3.4.1 INPUT DESIGN – – 17
3.4.3 OUTPUT DESIGN – – 18
3.5 HARDWARE AND SOFTWARE REQUIREMENT – – – 19
3.6 SOFTWARE REQUIREMENT – – 19
3.7 THE TYPE OF PEOPLE REQUIRED TO OPERATE:- 19
3.8 PROTOTYPE — 19
3.9 FLOW CHART – – – 20
CHAPTER FOUR
4.0 INTRODUCTION – – 21
4.1 IMPLEMENTATION – – 21
4.2 DOCUMENTATION – – 21
4.2 PROGRAMMING PARADIGM – – 21
4.2.1 CHOICE OF PROGRAMMING LANGUAGE — 21
4.2.2 PROGRAM MODULES – – 22
4.3 WELCOME SCREEN – – – 22
4.4 PROGRAM TESTING – – – 22
4.4.1 ERROR HANDLING – – 23
4.5 PROGRAM OUTPUT – -23
4.6 USER MANUAL – -23
4.7 PROGRAM CODE – – 23
CHAPTER FIVE
5.0 SUMMARY, CONCLUSION, RECOMMENDATION – 32
5.1 SUMMARY – – 32
5.2 CONCLUSION – – – 32
5.3 RECOMMENDATION – – – 32
REFFERENCE – 33
INTRODUCTION
Computer are becoming widely use in an increasing number of application and the growth is taking place at such a rate in the next decade only very institution in affected by the computations of Binomial Expansion using Pascal triangle.
The professional status of computing in development countries examine many devices application of computer own everyday term in own language to impress on the radio and TV and they appear in films and books or without science fiction.
Many of the routine activities in today society are perform by computers, some people may be exhilarated at the prospect of an Automation of Binomial Expansion using Pascal triangle.
Finally, the computer as the latest innovation has improved the standard of every field of human endeavor.
REFERENCE
Bradley Julia case (2003), Advanced programming using visual basic Net McGraw hill Companies.
Bradley Julia case (2002), programming in visual basic 6.0 McGraw Hill Irwin J.K
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Backhouse J.K (2000), Pure Mathematics2, SPT Hould Sucsth.
Bondasy, B.D (1996) “Pure Mathematics for Advance level; 2nd edition, Oxford London. Bradley.
Gorman, A. (1 998) “Addition mathematics for west Africa”, s” Edition Longman Group, UK.
Julia case (2002), programming in visual basic 6.0 McGraw Hill Irwin J.K Bradley Julia case (2003), Advanced programming using visual basic Net McGraw hill Companies.
Timothy J. Oleasy Linda 1. Oleasy, (2004), computing Today: published by Mc GeamHill/lawin Arizona state university.
