Term Paper of Numerical Analysis
TERM PAPER OF 5TH SEMESTER 2010
NUMERICAL ANALYSIS
MTH204
TOPIC: Using trapezoidal rule and simpson’s rule, evaluate the integral [pic]
DOA:
DOS: 12th November, 2010
Submitted to: Submitted by:
Ms.Nitika Chugh Mr. William Anthony
Deptt. Of Mathematics Regd no:10805460
Rollno:RD1803B30
ACKNOWLEDGEMENT
I would like to express my gratitude for the many helpful comment and suggestions .I have received over the last few days regarding the expository and critical expects of my term work and especially for those comments which bear directly or may various argument for the center thesis of term work. Most importantly I would like to thank my HOD (head of department) and my teacher Ms. Nitika Chugh for her days of supervision. Her critical commentary on my work has played a major role in both the content and presentation of our discussion and arguments. I have extend my appreciation to the several sources which provided various kinds of knowledge base support for me during this period.
Last and not the least my God and my parent helped me to overcome the problem while preparing this project.
WILLIAM ANTHONY
TABLE OF CONTENTS
INTRODUCTION TO TRAPEZOIDAL RULE AND SIMPSON 'S RULE
EVALUATION OF THE INTEGRAL
• APPLICATION OF TRAPEZOIDAL RULE AND SIMPSON’S RULE • BIBLIOGRAPHY
INTRODUCTION TO TRAPEZOIDAL RULE AND SIMPSON 'S RULE
Two widely used rules for approximating areas are the trapezoidal rule and Simpson 's rule. To motivate the new methods, we recall that rectangular rules approximated the function by a horizontal line in each interval.
NUMERICAL ANALYSIS
MTH204
TOPIC: Using trapezoidal rule and simpson’s rule, evaluate the integral [pic]
DOA:
DOS: 12th November, 2010
Submitted to: Submitted by:
Ms.Nitika Chugh Mr. William Anthony
Deptt. Of Mathematics Regd no:10805460
Rollno:RD1803B30
ACKNOWLEDGEMENT
I would like to express my gratitude for the many helpful comment and suggestions .I have received over the last few days regarding the expository and critical expects of my term work and especially for those comments which bear directly or may various argument for the center thesis of term work. Most importantly I would like to thank my HOD (head of department) and my teacher Ms. Nitika Chugh for her days of supervision. Her critical commentary on my work has played a major role in both the content and presentation of our discussion and arguments. I have extend my appreciation to the several sources which provided various kinds of knowledge base support for me during this period.
Last and not the least my God and my parent helped me to overcome the problem while preparing this project.
WILLIAM ANTHONY
TABLE OF CONTENTS
INTRODUCTION TO TRAPEZOIDAL RULE AND SIMPSON 'S RULE
EVALUATION OF THE INTEGRAL
• APPLICATION OF TRAPEZOIDAL RULE AND SIMPSON’S RULE • BIBLIOGRAPHY
INTRODUCTION TO TRAPEZOIDAL RULE AND SIMPSON 'S RULE
Two widely used rules for approximating areas are the trapezoidal rule and Simpson 's rule. To motivate the new methods, we recall that rectangular rules approximated the function by a horizontal line in each interval.
Bibliography: • en.wikipedia.org/wiki/Simpson 's_rule • www.maplesoft.com/applications/app_center_view.aspx? • www.intmath.com/Integration/5_Trapezoidal-rule.php • www.maplesoft.com/applications/view.aspx?SID=5175 • www.tutorvista.com/math/simpsons-rule-solve-online