what can you do with a computational mathematics degree

Last Updated on December 28, 2022

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Computational mathematics is a field within applied mathematics that can primarily be pursued at the graduate level. While there are some bachelor’s-level programs, many students within the discipline choose to pursue a more general mathematics or computing degree at the associates or bachelor’s level before diving into computational mathematics in graduate school.

At both the bachelor’s and associate’s level, students will often begin their course of study by tackling some ‘general education’ requirements. These are courses pulled from a wide range of disciplines that are meant to ensure that students receive a well-rounded education expected of someone with a college degree. Furthermore, these courses are meant to ensure you have a strong basis in reading, writing, thinking logically, and the basic sciences.

A common selection of general education courses at the associates or bachelor’s levels includes:

  • Social Science Courses
  • Natural Science Courses
  • Basic College Mathematics Course
  • Courses in a Foreign Language
  • Data Literacy
  • Computer Literacy
  • Courses in the Humanities
  • English Literature and Composition
  • Speech or Logic
  • Physical Education

At the associates level, students may choose to major in mathematics, statistics, or computer science to gain a good grounding that may be carried forward into a computational mathematics degree program. Many such programs hold ‘transfer agreements’ with four-year college programs. In these programs, students who graduate with above a certain associates-level GPA gain automatic admission to bachelor’s degree programs.

Once in a bachelor’s degree program in computational mathematics, students should expect to take some selection of courses similar to those below:

  • Organic and Inorganic Chemistry
  • Physics for Engineers
  • Calculus I-IV
  • Multivariable Calculus
  • Linear Algebra
  • Abstract Algebra and Number Theory
  • Differential Equations
  • Numerical Analysis I-II
  • Intro to Programming I-II
  • Algorithms and Data Structures
  • Algebraic Coding
  • Financial Mathematics
  • Probability and Statistics for Engineering
  • Actuarial Models
  • A Capstone Project or Thesis

At the master’s level, students will often gain access to more meaningful career-centered courses. While most master’s programs also offer foundational courses (albeit, at the graduate level) to start off the program, many also offer specializations with career-specific course offerings. Some common specializations within a master’s in computational mathematics include:

  • Information Sciences
  • Engineering
  • Biological Sciences
  • Physical Sciences
  • Mathematics
  • Other Quantitative Sciences

Additionally, most master’s programs have a programming requirement that ensures that students have sufficient exposure to a range of programming and scripting languages that support computational mathematics.

At the doctoral level students should expect to take many of the same courses available at the master’s level, but with a great emphasis on ‘diving deeply’ into a given subsection of computational mathematics.

The most popular degree type for computational mathematics at the doctoral level is a doctor of philosophy (Ph.D.) degree in computational mathematics. Ph.D. degrees are research doctorates, which means that one central area of focus and support for doctoral candidates surrounds original research. This original research is often performed in the context of a doctoral dissertation. Doctoral dissertations are documents comprised of hundreds of pages of original research. When doctoral candidates have completed their dissertation, they then ‘defend’ their dissertation in front of a group of peers to proceed towards graduation.

Additionally, doctoral degrees typically require comprehensive exams (‘comps’), that test students on every course and topic they have covered in their doctoral program.
A second aim of Ph.D. programs, that is primarily represented within in-person programs, is that of preparing the next generation of university-level educators. This often takes the form of Ph.D. candidates teaching undergraduate courses, or working as teaching assistants within all levels of course work.

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