Objective:
Research about a Mathematical Equation that had a great impact on advancing Engineering
and technology.
Learning Outcomes:
1. Gaining the basic research skills to conduct research about a scientific topic,
2. Improving the scientific writing skills to enable students to write scientific papers or thesis,
Research Details:
1. The research topic will be assigned to each group by the instructor.
2. The report should have the following: title page, table of contents, introduction, main body,
conclusion, and references. Acknowledgment and dedication should not be included in this
report.
3. The introduction should be about the equation definition, the importance of the equation, in
which field of engineering it is used? Which type of problems it is solving?
4. The main body should present the mathematical history of the equation, its derivation, the
mathematical expression of the equation, and the parameters used in the equation. It may
include a detailed discussion of a specific practical application that utilizes this equation.
5. The conclusion may include the constraints or limitations of the equation, its relation to any
other mathematical equations, a summary of the report, and an outlook of its applications in
future.
6. Note that each figure or table in the report should have a caption, it has to be numbered, and it
has to be referenced appropriately, if taken from an external source.
7. The report including the cover page, table of contents, and references should be between 15
and 20 pages.
Evaluation Criteria:
1. Reports will be evaluated based on clarity, arrangement, accuracy, and completeness. Also, the
originality of the report will be checked to confirm avoiding any plagiarism violation.
2. Presentations will be evaluated based on clarity, arrangement, accuracy, and completeness.
3. Students will be evaluated after the presentation by questions about their project. The main
purpose of this discussion is to investigate the level of understanding of the student.
Make sure there is no plagiarism
Struggling with where to start this assignment? Follow this guide to tackle your assignment easily!
Step 1: Understand the Research Requirements
This research paper requires you to analyze a mathematical equation that has significantly impacted engineering and technology. You will explore its definition, importance, history, derivation, applications, and limitations while maintaining a clear and structured scientific report format.
Step 2: Choose an Equation to Research
Your instructor will assign an equation, but some famous equations that have greatly influenced engineering include:
- Newton’s Second Law (F = ma) – Essential in mechanical and civil engineering.
- Maxwell’s Equations – Fundamental to electrical and communications engineering.
- Navier-Stokes Equations – Used in fluid mechanics and aerodynamics.
- Fourier Transform – Key in signal processing and engineering analysis.
Step 3: Structure Your Report
Your report should include the following sections:
Title Page – Include the project title, course name, instructor’s name, and group members.
Table of Contents – List all sections and page numbers for easy navigation.
Introduction (1-2 pages)
- Define the equation.
- Explain its importance in engineering.
- Identify the types of engineering problems it solves.
- Mention industries or technologies that rely on this equation.
Main Body (10-15 pages)
- Mathematical History – Who developed it? When and why was it formulated?
- Derivation of the Equation – Provide step-by-step derivation if applicable.
- Mathematical Expression – Write the equation and define its parameters.
- Practical Applications – Discuss at least one detailed engineering application. Include case studies or real-world usage.
- Figures and Tables – Ensure all visuals are numbered, captioned, and referenced correctly.
Conclusion (2-3 pages)
- Discuss any constraints or limitations of the equation.
- Relate the equation to other mathematical formulas.
- Summarize key findings.
- Provide insights into future applications in engineering and technology.
References – Cite all sources in an appropriate scientific format (APA, IEEE, or as required by your instructor).
Step 4: Writing Tips for a Strong Scientific Report
Maintain a clear and formal writing style. Avoid personal opinions unless relevant.
Use equations, graphs, and figures effectively. Each figure should support your discussion.
Keep your explanations structured. Break complex ideas into smaller sections.
Ensure originality. Avoid plagiarism by properly citing all sources.
Step 5: Prepare for Your Presentation
After submitting your report, you will present your findings. To excel:
- Summarize key points clearly. Don’t read from the slides; explain concepts.
- Use visual aids effectively. Graphs and images help illustrate technical concepts.
- Anticipate questions. Be ready to answer how the equation applies to different engineering fields.
By following this guide, you’ll develop strong research, writing, and presentation skills while mastering an important mathematical equation in engineering. Good luck!