Mathematicians work with numbers, using their skills to conduct scientific research based on mathematical principles, theories, and methods that can be applied to several branches of science and used to solve problems and design solutions. Mathematicians are employed across various sectors, both public and private.

A large portion of Mathematicians work for the federal government, while most others work in educational institutions and in management, scientific, and technical consulting services. Those who work in theoretical mathematics develop new principles and increase mathematical knowledge but usually do not consider its practical use. Mathematicians in applied mathematics use mathematical modeling and computational methods to solve real-world problems.

Mathematicians typically work in offices, although they may also travel to attend conferences or meet with clients. They spend most of their time working on mathematical models and proofs. Responsibilities include developing new mathematical theories and solving problems in businesses, engineering, physics, and other sciences.

Average day of a Mathematician
Here’s a non-exhaustive list of common tasks Mathematicians are required to complete:

• Apply mathematical theories and techniques to solve practical problems in different areas, such as Business, Engineering, Science, and the Manufacturing Industry
• Develop computational methods to solve problems based on observations
• Perform calculations and apply methods of numerical analysis to data
• Identify trends and relationships among variables
• Determine appropriate methods for data analysis
• Use mathematical principles to solve problems in applied Science
• Develop mathematical models of phenomena for analytical and study purposes
• Design computer models and mathematical simulations
• Study the behaviour of variables in phenomena based on mathematical theories
• Formulate hypotheses and carry out experiments to verify them
• Collect and document information based on findings
• Apply findings to fields of applied Science and the advancement of Mathematics
• Stay updated in their field of knowledge, keeping track of new advancements and trends
• Read mathematical journals and published papers
• Liaise with other Mathematicians
• Attend professional conferences
• Share their research and findings by writing reports, publishing papers, or speaking at professional conferences
• Present research to colleagues
• Prepare and explain analytical reports
• Design, analyze, and decipher encryption systems based on mathematical algorithms
• Analyze security systems, networks, and data to ensure safety
• Develop new codes and update existing ones
• Establish new principles and relationships between mathematical doctrines to further contribute to scientific and technological development
• Design new mathematical and scientific models
• Conduct research to extend and advance mathematical knowledge in algebra, geometry, probability, statistics, and logic