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Table of Contents

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objective of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Limitations of the Study
1.7 Scope of the Study

Chapter 2: Literature Review
2.1 Interpolating Polynomials
2.2 Newton’s Interpolating Polynomials
2.3 Applications of Newton’s Interpolating Polynomials
2.4 Previous Studies on Approximating Functions

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Strategy

Chapter 4: Discussion of Findings
4.1 Analysis of Data
4.2 Comparison of Results with Existing Literature
4.3 Interpretation of Findings

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusions
5.3 Recommendations for Future Research

Brief Overview:

The thesis on Approximating functions using Newtonʼs interpolating polynomials aims to explore the application of Newton’s interpolating polynomials in approximating functions. The study will begin with an introduction providing background information on interpolating polynomials and the specific focus on Newton’s method. The objective of the study is to investigate the effectiveness of Newton’s interpolating polynomials in approximating functions and compare the results with existing literature.

The literature review will delve into the theory behind interpolating polynomials, specifically focusing on Newton’s method and its applications. Previous studies on approximating functions using interpolating polynomials will be analyzed to provide a comprehensive overview of the topic.

The research methodology section will outline the research design, data collection methods, and data analysis techniques employed in the study. A sampling strategy will also be discussed to ensure the validity of the findings.

The discussion of findings will present an analysis of the data collected, comparing the results with existing literature and interpreting the findings to draw meaningful conclusions.

In the conclusion and summary chapter, a summary of the findings will be provided, along with conclusions drawn from the study. Recommendations for future research will also be outlined to guide further exploration in the field of approximating functions using Newton’s interpolating polynomials.

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