Applied mathematics is a branch of the field that can be applied in various areas, such as engineering and business, and graduate degrees may be offered through mathematics or engineering departments. These programs require students to be well grounded in math principles in preparation for further training in how to apply their learning.
Information about Graduate Programs in Applied Mathematics
Graduate programs in applied mathematics are available on-site, online, and in hybrid formats. Since master's and doctoral programs are both offered, completing a graduate degree in this field can take anywhere from about two to five years, or more, depending on the degree being pursued. Programs typically offer various areas of focus from which to choose, but the following are examples of courses you might encounter.
Foundational courses are designed to help students without a thorough understanding of the math required in the program. These classes also act as refreshers for incoming students who want to sharpen their math skills prior to more advanced work. You should expect to review various aspects of math necessary to your advanced work, such as integral calculus, linear algebra, and differential equations.
Part of your coursework will likely include a study of differential equations. Students in this course are expected to have a solid understanding of differential and integral calculus. During the class, students may work with existence, Bessel functions, Laplace transformations, initial value problems, and Legendre polynomials.
Statistics coursework will likely be part of your program and can cover a range of statistical processes. These include Bayesian statistics, principal component analysis, computational statistics, and multivariate statistics. Some courses touch on these broadly, while others will specifically target each in an in-depth study.
Prior to taking this course, students will often have to be familiar with ordinary differential equations and real analysis. The course is designed to instruct students in topics such as Cauchy's theorem, infinite produce, and integral formulas. Students will also study in areas such as conformal mapping, residue theorem, and singularities.
Given the increasing importance of discrete mathematics in the overall field of mathematics, coursework in this area may be advantageous. This class teaches students how to create mathematic models and solve discrete mathematical problems. Over the course, students will learn about topics such as graph theory, pigeonhole principle, and generating functions.
Admissions Requirements for Applied Mathematics Graduate Programs
Students applying to a graduate program in applied mathematics will have to meet certain essential requirements prior to admission. Commonly, schools will ask that a student already hold a bachelor's degree that focuses heavily in an area of mathematics. In some cases, students may also be asked to submit a resume along with their application. It is also typical for schools to ask students to submit their GRE scores and will require a copy of a student's academic transcripts. A minimum GPA of 3.0 to 4.0 in the bachelor's program is often preferred to be considered for a graduate program.
Students entering the applied mathematics graduate program should be prepared to learn advanced theory and gain practice relevant to applying their knowledge in various industries. As such, they should be previously prepared with a strong mathematics background, though the option to take refresher courses may benefit anyone who has not studied mathematics in-depth in some time.