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Applied mathematics is an interdisciplinary field concerned with the application of mathematics to practical problems in physical science, social science, technology, engineering, or business. 

Applied mathematics may include different mathematical branches such as engineering mathematics, linear programming, continuum modeling, numerical analysis, statistics, information theory, game theory, etc. The Ph.D. degree in Applied Mathematics is primarily a research degree and is not awarded as a result of course work. 

The award of the degree is based on competence in Applied Mathematics and the ability to conduct independent research as evidenced by the completion of a doctoral dissertation. This dissertation must exhibit original mathematical contributions that are relevant to a significant area of application. 

Applied mathematics addresses problems in science, engineering, and society. Find new ways to solve real-world problems through creative and original research with the Free PhD in Applied Mathematics. There are Universities and institutes that provide this PhD program for free or with scholarship or student loan options.

The Free Doctorate in Applied Mathematics explores many topics in applied mathematics. Research is conducted in areas of science, engineering, medicine, and business through interdisciplinary teams, as well as in the areas of concentration needed for the program.

The Free PhD in Applied Mathematics gives you the opportunity to study areas such as dynamical systems, pattern formation, chaos theory, ordinary and partial differential equations, Hamiltonian systems, stability theory and others.

What is a Doctorate in Applied Mathematics ?

A Doctorate in Applied Mathematics provides students with the skills to be able to describe, predict, design and quantitatively control phenomena in a variety of fields.

Students in a PhD in Applied Mathematics work with faculty researching Computational Neuroscience, Control Theory and Stochastic Systems, Economics and Computation, Modeling of Physical/Biological Phenomena and Systems, and Theory of Computation, among others.

Applied mathematics degrees involve both a deep mathematical understanding and a basic knowledge of other subjects, depending on the chosen area of specialization. 

Colleges and universities offer a plethora of specializations: mathematical biology, combinatorics, mathematical finance, applied analysis, surveying, computational neuroscience, probability, risk and statistics, and many more.

In addition to mathematical knowledge and analytical reasoning, students will need knowledge of problem formulation and problem solving techniques, good work management skills, a high ability to conceptualize and communicate results and arguments.

Program, Subjects and Content of the Doctorate in Applied Mathematics

These are some of the subjects that may be included in the programmatic content of a PhD in Applied Mathematics:

  • Principles of Applied Mathematics
  • Introduction to dynamical systems
  • Applied functional analysis
  • Partial differential equations
  • Functions of a complex variable
  • Introduction to Numerical Methods
  • Numerical Methods for Partial Differential Equations
  • Introduction to computational science
  • Introduction to biophysical modeling
  • Analytical methods for partial differential equations.
  • Numerical Analysis for Partial Differential Equations
  • Special topics in applied mathematics
  • Asymptotic Methods in Applied Mathematics
  • Combinatorial theory
  • Mathematical physics

How Long Does the Doctorate in Applied Mathematics Take ?

A Ph.D. in Applied Mathematics lasts 3 to 4 years full-time. Time may vary depending on factors such as the country of origin, the institution or university offering the PhD program, the study plan, program delivery modality, schedules, whether it is taken partially or completely, among others.

Where Can I Work with a PhD in Applied Mathematics ?

Graduates of bachelor’s or master’s degrees in applied mathematics have the opportunity to pursue careers in many fields and work settings, including education and academic research, technology services or the pharmaceutical industry. 

They may also work in engineering, programming, finance, business or may provide services for non-profit organizations, corporations or government institutions. Career opportunities exist in all industries, as many need mathematics expertise. Some of the most common degrees are:

  • Actuary
  • Operations researcher / analyst
  • Mathematician / statistician
  • Postsecondary mathematics/science teacher
  • Postsecondary mathematics / science administrator

Countries and Cities Where You Can Study the Doctorate in Applied Mathematics for Free by Obtaining a Scholarship

  • United States
  • Portugal
  • Italy
  • United Kingdom
  • Slovakia
  • South Africa
  • Canada

Institutes, Centers and Universities Where the Doctorate in Applied Mathematics is Possibly Offered for Free, through Scholarships

PhD in Applied Mathematics

  • University of Baltimore County Maryland (UMBC)
  • Maryland, United States.

PhD in Applied Mathematics

  • University of Aveiro
  • Aveiro, Portugal.

Ph.D. in Pure and Applied Mathematics

  • Polytechnic University of Torino
  • Torino, Italy.

Doctorate in Applied Mathematics PhD

  • The University of Manchester
  • England, United Kingdom.

Doctorate in Applied Mathematics

  • Slovak University of Technology Bratislava
  • Bratislava, Slovakia.

PhD in Applied Mathematics

  • University of Johannesburg
  • Johannesburg, South Africa.

Doctorate in Applied Mathematics

  • University of Waterloo
  • Waterloo, Canada.

Doctorate in Applied Mathematics Price References

The prices of the PhD in Applied Mathematics can be varied. The prices of these PhDs range from $3,450 to $25,500 per year. In some cases it may cost more. The cost of this Doctorate will vary according to the country where it is given, the institution or university that gives the Doctorate, the modality, the duration and the materials provided during the study, among other factors. 

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