how to write a research proposal for phd in mathematics?
430481
["Working title and abstract: It must describe or explain your project's nature. ... ", "Statement of the problem and topic/overview: It identifies the subject area while you're showing how the thesis proposal suits the field."]
1125472
['Put the problem in context (what do we already know?)', 'Describe the precise issue that the research will address (what do we need to know?)', 'Show the relevance of the problem (why do we need to know it?)', 'Set the objectives of the research (what will you do to find out?)']
873225
Academic research proposals are generally written as part of the initial requirements of writing a thesis, research paper, or dissertation. They generally follow the same format as a research paper, with an introduction, a literature review, a discussion of research methodology and goals, and a conclusion.
131073
['o State the research problem, which is often referred to.', 'o Provide the objectives of the study. ... ', 'o Identify the rationale of the proposed study and clearly.', 'o Briefly describe the major issues and sub-problems to.', 'o Identify the key independent and dependent variables.']
799083
["investigate previous research and find out what's been done before.", 'consider theoretical frameworks.', "identify 'gaps' in existing knowledge to find out if your study is worth doing.", 'determine/clarify/justify your research question/problem.', 'select the most appropriate methodology (if applicable).']
105612
['Introduction. Explain the issue you are examining and why it is significant.', 'Method and Design.', 'Significance and Conclusion. Discuss, in general, how your proposed research would lead to a significant improvement over the original studies, and how it would benefit the field. ... ', 'References.']
639116
['Start with a strong introduction.', 'Establish a problem statement.', 'Determine the main purpose of your research.', 'Write a literature review.', 'Present your testing hypothesis in detail.', 'Provide a set of methods and approaches.', 'Determine the limitations.']
1473152
['A contextual sentence about your motivation behind your research topic.', 'Your thesis statement.', 'A descriptive statement about the types of literature used in the review.', 'Summarize your findings.', 'Conclusion(s) based upon your findings.']
872783
['Step 1: Get familiar with the assignment.', 'Step 2: Pick a topic.', 'Step 3: Research.', 'Step 4: Organize research.', 'Step 5: Form a thesis.', 'Step 6: Create an outline.', 'Step 7: Write.', 'Step 8: Edit for content.']
50866
['Introduction. provide research question. explain the significance. ... ', 'Methods. describe your methods for gathering information. explain your sources of information, both primary and secondary.', 'Results. describe what you found out from your research. ... ', 'Discussion. explain the significance of your findings.']
444958
['Choose a topic.', 'Review the guidelines provided for the assignment.', 'Search for relevant articles.', 'Read and evaluate the articles.', 'Synthesize the literature.', 'Summarize and discuss the articles in your writing.', 'Identify gaps in the current research on your topic.']
651203
['Title. The title of your proposal should be short, accurate, and clear. ... ', 'Abstract. As in a technical paper, the proposal abstract should “abstract” the project for the reader. ... ', 'Introduction. ... ', 'Background. ... ', 'Preliminary Studies. ... ', 'Research Methodology. ... ', 'Budget. ... ', 'Curriculum Vitae for Principal Investigators.']
313039
Explain the methods you plan to use for conducting your research. Clearly identify the key sources you intend to use and explain how they will contribute to your analysis of the topic. Describe the boundaries of your proposed research in order to provide a clear focus.
342493
['Choose a broad topic.', 'Do some preliminary reading to find out about topical debates and issues.', 'Narrow down a specific niche that you want to focus on.', 'Identify a practical or theoretical research problem that you will address.']
67018
['Step 1: The Title. Naming your research is an important part of the research proposal. ... ', 'Step 2: The Abstract. ... ', 'Step 3: Aims and Objectives. ... ', 'Step 4: Background. ... ', 'Step 5: Methodology and Method. ... ', 'Step 6: Schedule and Timeline. ... ', 'Step 7: Ethical Approval. ... ', 'Step 8: Resources.']
196550
['Introduction and Theoretical Framework.', 'Statement of the Problem.', 'Purpose of the Study.', 'Review of the Literature.', 'Research Questions and/or Hypotheses.', 'The Design – Methods and Procedures.', 'Limitations and Delimitations.', 'Significance of the Study.']
15714
[' Formulation of the research problem.', ' Literature review.', ' Formation of Hypothesis in Research Design.', ' Formulating a Research Design.', ' Defining the nature of the study.', ' Sample design.', ' Administration of the tools of Data collection in Research Design.', ' Data analysis.']