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Table of Contents:

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

Chapter 2: Literature Review
2.1 Overview of Stochastic Differential Equations
2.2 Applications of Stochastic Differential Equations in Finance
2.3 Applications of Stochastic Differential Equations in Biology
2.4 Current Trends in the Field

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

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

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

Brief Overview:

Stochastic Differential Equations (SDEs) have gained significant importance in the fields of finance and biology due to their ability to model the uncertainty and randomness inherent in these complex systems. This thesis aims to explore the applications of SDEs in finance and biology, highlighting their relevance and impact on decision-making processes.

The literature review provides a comprehensive overview of SDEs and their applications in finance and biology, discussing current trends and advancements in the field. The research methodology outlines the design, data collection, and analysis techniques used in the study, while the discussion of findings presents an analysis of the results and their implications.

Through this thesis, it is hoped that a deeper understanding of the applications of SDEs in finance and biology will be achieved, providing valuable insights for researchers and practitioners in these fields. The conclusion and summary of the study offer a comprehensive overview of the key findings and recommendations for future research.

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