Research Paper On Mobile Security

3606 words - 15 pages

A SAMPLE RESEARCH PAPER/THESIS/DISSERTATION ON ASPECTS OF ELEMENTARY LINEARY ALGEBRA

by James Smith B.S., Southern Illinois University, 2010

A Research Paper/Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Master of Science Degree

Department of Mathematics in the Graduate School Southern Illinois University Carbondale July, 2006

(Please replace Name and Year with your information and delete all instructions) Copyright by NAME, YEAR All Rights Reserved **(This page is optional)**

RESEARCH PAPER/THESIS/DISSERTATION APPROVAL

TITLE (in all caps)

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A Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Degree of ...view middle of the document...

A special thanks also to Howard Anton [1], from whose book many of the examples used in this sample research paper have been quoted. Another special thanks to Prof. Ronald Grimmer who provided the previous thesis template upon which much of this is based and for help with graphics packages.

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PREFACE
(DO NOT USE IN RESEARCH PAPER)

A preface or foreword may contain the author’s statement of the purpose of the study or special notes to the reader. This section is OPTIONAL and should be double-spaced if used in the thesis/dissertation.

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TABLE OF CONTENTS

Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Dedication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Systems of Linear Equations and Matrices . . . . . . . . . . . . . . . . . 1.1 Introductions to Systems of Linear Equations . . . . . . . . . . . . 1.2 Gaussian Elimination . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Further Results on Systems of Equations . . . . . . . . . . . . . . . 1.3.1 Some Important Theorems . . . . . . . . . . . . . . . . . . .

iii iv v vi viii ix 1 2 2 4 5 6 7 7 8 8 8 11 16 16 19

2 Determinants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.1 The Determinant Function . . . . . . . . . . . . . . . . . . . . . . . 2.2 Evaluating Determinants by Row Reduction . . . . . . . . . . . . . 2.2.1 Some Final Conclusions . . . . . . . . . . . . . . . . . . . .

2.3 Properties of the Determinant Function . . . . . . . . . . . . . . . . 3 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Vita . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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LIST OF TABLES

2.1 An example table showing how centering works with extended captioning.

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LIST OF FIGURES

1.1 (a) no solution, (b) one solution, (c) infinitely many solutions . . . . . 1.2 Inside and outside numbers of a matrix multiplication problem of A×B = AB, showing how the inside dimensions are dropped and the dimensions of the product are the outside dimenions. . . . . . . . . . . . . . . . . . 2.1 An encapsulated postscript file. . . . . . . . . . . . . . . . . . . . . . . 2.2 A second encapsulated postscript file. . . . . . . . . . . . . . . . . . . . 3.1 Two rows of graphics: (a) Square (b) Circle (c) Rectangle . . . . . .

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3.2 Three rows of graphics:...

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