Is an Applied Mathematics Degree Similar to a Traditional Math Degree? Exploring the Differences

At Florida State University (FSU), the mathematics department offers two majors that cater to different areas of interest: the undergraduate applied mathematics and computer science major, and a more traditional mathematics major referred to as 'pure math'.

Overview of Majors at FSU

Both majors share a significant number of electives, but there is a restriction against double-counting electives for both majors. An applied math major can fulfill all their requirements with electives from the pure math major, but not the other way around. Conversely, pure math majors can take applied math electives, but not all applied math requirements can serve as electives for pure math.

Goals of the Majors

The primary goal of the applied mathematics program is to prepare students for further studies in mathematics or fields that heavily utilize mathematical applications. On the other hand, the pure math program aims to prepare students for graduate school in mathematics.

Both majors share common core courses such as statistics, physics, and programming, but the electives and additional requirements differ significantly depending on the focus of the student. Students aiming for a career in economics or statistics often prefer the pure math major, while those with an interest in applied fields may opt for the applied math major.

The Applied Mathematics Major

An applied mathematics degree at FSU emphasizes practical application of mathematical principles. Students in this major are encouraged to take proof-based courses, particularly those related to analysis. This major allows for flexibility in elective choices, enabling students to tailor their studies based on their interests and goals.

Conversely, pure math majors are encouraged to take more programming courses, either through numerical analysis or computer science, but are not required to do so.

Flexibility and Career Prospects

It's important to note that not all students in these majors pursue graduate school. Those who do not enjoy proofs may opt for the applied math major, while those less interested in programming may choose the pure math major. This highlights the flexibility and adaptability offered by both programs.

Additional Specializations

FSU also offers mathematics programs tailored for specific industries. There is a biomathematics program for students interested in the intersection of mathematics and biology, and an actuarial science major for those interested in the application of mathematical principles in finance and insurance.

Conclusion

In summary, while both applied and pure mathematics programs share foundational courses, their key differences lie in their focus on applications versus theoretical rigor. The applied mathematics major emphasizes practical problem-solving, while the pure math major is geared towards preparing students for advanced theoretical studies.

Both programs are designed to provide students with the necessary skills and knowledge to pursue further education or careers in fields that require a strong mathematical background.

Keywords: applied mathematics, traditional mathematics, proof-based courses