Mathematics, Computer Science, Statistics, Systems Science.
Formal sciences, as distinct from, for example, natural sciences, don’t deal with objects and principles that physically exist in reality; instead, they work with formally accepted systems of rules that are abstract and don’t correspond to anything in the objective reality.
The information received by means of research conducted with the help of such rules, however, can be and is used in observable reality. It is obvious that such a vast field of research should present a great variety of topics for any kinds of academic writing.
Here are some of the topics, applicable for different stages of studying process:
- Gordon Pask’s model of New Cybernetics.
- Information Highway by Bill Gates – 10 years after.
- The change of average life expectancy in the course of human history.
- Technology in mathematics education.
- Philosophy of mathematics.
- Dyslexia, dyscalculia and mathematics.
- Chaos theory.
- Future of human-computer interaction.
- Interconnection between formal and natural sciences and interdisciplinary studies (bioinformatics, computational neuroscience, computational chemistry).
- Usage of computer science in linguistic analysis.
- Application of mathematics in ancient times (building construction, siege works, irrigation, etc.)
- Nanotechnology – overpriced gimmick or the future of our science?
- Will artificial Intelligence ever come true and what should we think about it?
- Mathematical principles behind the ancient siege engines.
- E-Commerce – what happens when business uses formal sciences?
- Online databases and privacy.
- Search Engine Optimization.
- Methods of statistical analysis.
- Possible ways of applying Artificial Intelligence.
- The evolution of programming languages.
Formal sciences, due to their nature, are hard to write on in non-definite way, so you are supposed to be already well-versed in a particular branch of them when you start writing. Many topics, however, can be applied to the earlier periods of your academic career and serve to make some starting steps in the field of mathematics or computer science.
Feel free to use the above mentioned topics or create your own ones along the same principles. There is nothing particularly hard about it once you’ve mastered the basics.