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Mathematics studies numbers, structure and change and has its origins in early philosophy. This ancient discipline is commonly used for calculations, counting and measurement. However, mathematics is a complex field that also involves theories, pattern discovery, development of law, dubbed as “The Queen of Sciences”. 

Mathematical principles can also be found in disciplines such as medicine, natural sciences, engineering, finance and social sciences. There are numerous PhD programs in Mathematics located in excellent universities around the world. 

With a PhD in Mathematics, professionals have excellent career opportunities in academia, research, engineering, economics, government and other public and private sector jobs. There are Universities and institutes that provide this PhD program for free or with scholarship or student loan options.

A Free PhD in Mathematics is a program that studies structure, space, quantity and change, looks for patterns and formulates new conjectures. The main focus of the Free PhD in Mathematics is substantial research in core areas of mathematics leading to a dissertation, which leads students to develop their skills in presenting and teaching mathematics and its applications.

What is a PhD in Mathematics ?

The PhD Program in Mathematics aims to prepare PhD students to acquire the necessary skills to conduct research in the different branches of mathematics. 

Therefore, emphasis is placed on the incorporation of new researchers in training in some of the existing research groups. There is a special interest in the methods and techniques necessary for the research and writing of a doctoral thesis. 

Curriculum for a PhD program in Mathematics is challenging and generally includes courses, seminars, teaching, and research and develops skills such as knowledge of arithmetic, algebra, trigonometry, and strong deductive reasoning.

This PhD program provides an opportunity for graduates to gain high-level research skills and substantially deepen their knowledge in the area of mathematics. The PhD program in Mathematics trains students in the use of theoretical and computational research methods to solve a wide range of problems, from the most abstract to the most applied.

PhD in Mathematics Program, Subjects and Content

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

  • Calculus
  • Linear algebra, multivariable calculus and modern applications.
  • Integral calculus of several variables
  • Ordinary differential equations with linear algebra
  • Proofs and modern mathematics
  • Modern mathematics: discrete methods
  • Mathematics discovery laboratory
  • Applied matrix theory
  • Functions of a complex variable
  • Graph theory
  • Introduction to combinatorics and its applications
  • Applied group theory
  • Applied number theory and field theory
  • Linear algebra and matrix theory

How Long Does the PhD in Mathematics Take ?

A PhD in Mathematics lasts approximately 3 to 4 years full-time. Duration 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 part-time or full time, among others.

Where can I work with a PhD in Mathematics ?

A PhD degree in Mathematics may be a requirement for some highly numerical careers, such as working in operations research, quantitative analyst roles in banking, roles in cryptography and statistics. 

In some other professions, such as actuarial work, although not an absolute requirement, a de facto mathematics degree provides the main route of entry. For many other positions in finance, business, consulting, management, supply chain management, IT, and many analytical or problem-solving roles.

Employers hire people with a strong numeracy background and mathematics is obviously one of those disciplines. After earning a PhD in Mathematics, students have the option to work as operational researchers, statisticians, aerospace engineers, accountants, software testers or teachers.

Countries and Cities Where You Can Study a PhD in Mathematics for Free by Getting a Scholarship

  • Kazakhstan
  • Hong 
  • Kong
  • United States of America
  • United Kingdom
  • Israel
  • France
  • Slovenia
  • United Arab Emirates

Institutes, Centers and Universities Where the PhD in Mathematics is Possibly Taught for Free through Scholarships

PhD in Mathematics

  • Nazarbayev University
  • Nur-Sultan, Kazakhstan.

PhD in Mathematics

  • Atlantic International University
  • Honolulu, USA.

PhD in Mathematics

  • The Hong Kong University of Science and Technology
  • Hong Kong.

PhD in Mathematics

  • QUB Faculty of Engineering and Physical Sciences (EPS)
  • Belfast, UK.

PhD in Mathematics

  • The Hebrew University of Jerusalem
  • Jerusalem, Israel.

PhD in Mathematics

  • Institut Polytechnique de Paris
  • Palaiseau, France.

PhD in Mathematics

  • Faculty of Natural Sciences and Mathematics – University of Maribor
  • Maribor, Slovenia.

PhD in Philosophy in Mathematics

  • UAEU University of the United Arab Emirates
  • Al Ain, United Arab Emirates.

PhD in Mathematics Price References

The prices of PhDs in Mathematics can vary. The prices of these PhDs range from $2,450 to $27,300 per year. In some cases it may cost more. The cost of this PhD will vary according to the country where it is taught, the institution or university that teaches the PhD, the modality, the duration and the materials provided during the study, among other factors.

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