About PhD in Mathematics

PhD Mathematics full form is Doctor of Philosophy in Mathematics, a specialty that focuses on the structure in mathematics and propagates new theories laws, and data for the development of mathematics. The course falls under the umbrella of PhD.

According to Wikipedia, “Mathematics is an area of knowledge, which includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).” 

Eligibility Criteria for PhD Mathematics

Eligibility for a PhD Mathematics course in India varies by university. Candidates for admission to the PhD Mathematics course must have a 55% in their Master's degree in Mathematics or Physical Science and a bachelor's degree in Mathematics from a recognized university. Some universities hold entrance exams. There is no upper age limit for candidates for PhD Mathematics. The following are the general admission requirements for the course.

The Benefits of PhD in Mathematics

If you've always wondered about the employment opportunities that come with a PhD in Mathematics, you've come to the right place. While there are many teaching positions available, they're not glamorous, and a PhD is not an unemployed person's best bet. However, it does mean that you'll be working in a different field, so here's what you should know about the possibilities.

A PhD in Maths entails studying the literature in a specialized field and proving theorems and concepts. You'll also need to conduct experiments and collect data for your thesis. You'll also need to work with others in the field to gather data and interpret forecasts. If you're looking to enter the workforce, a PhD in Mathematics is a great choice. If you're looking for a job in maths, you may want to consider pursuing a postdoctoral position. Some mathematicians teach undergraduate students at their universities and other universities to share their knowledge and research. Some math PhD students continue their research after earning their degree by working as professors at a university or independent organization. A PhD in mathematics is a great way to start a successful academic career and gain invaluable skills.

A PhD in mathematics can lead to a lucrative career as a data analyst. If you love number crunching, you might want to consider becoming a data analyst. A math PhD can open many doors for you in the business world, especially in fields that require numerical work. A math PhD will not get you a lucrative industry job, but it can open up many exciting opportunities for you.

PhD Mathematics: What is it about?

PhD Mathematics is the program of choice for students who wish to pursue a career in a mathematical research field.

The minimum duration of this course is 2 years, whereas you can complete this course in a maximum time span of 3-5 years.

PhD Mathematics is a full-time doctoral degree.

In PhD Mathematics, students study statistical concepts relating to inspection, engineering design, and quality assurance.

PhD in Mathematics course involves research that uses various methods of mathematical types associated with graph theory, asymptotic analysis, scientific computation, bifurcation theory, probability and statistics, ordinary and partial differential equations, stability theory, singular perturbations, and stochastic processes.

In this course, the major topics studied by the students are correlation, normality, probability, sampling, regression, and confidence intervals in reliability. This course is designed to enrich applications like algebra and trigonometry, systems of linear equations, algebraic fractions, literal equations, quadratic equations, right triangles, vectors, word problems, and their solutions.

Why study the PhD Mathematics course?

For candidates who are inclined toward a research career, many positions are available in research institutions and universities for. And who wish to pursue a teaching career, well-paying teaching positions are available in plenty in private engineering colleges. Many research labs of multinational companies, financial services companies, and others are massively recruiting Indian mathematicians.

Some of the popular reasons why PhD Mathematics must be pursued is as follows:

This program prepares someone to keep momentum with the expanding frontiers of knowledge and provides research training relevant to the present social and economic objectives of the country.

It comprehends to write a good research report and acquires the skill of presenting data in graphical form.

They can also go for accountancy and business services, banking, investment and insurance, government, and public administration.

They can become teachers and lecturers in schools and colleges/universities respectively; to become a lecturer in college they should pass the NET exam and the UGC guidelines.

Syllabus of PhD Mathematics

• Algebra
• Analysis
• Calculus
• Computational Techniques
• Computer Science
• Differential Equation
• Differential Geometry
• Discrete Mathematics
• English Literature
• Linear Programming
• Mathematical Finance
• Mechanics
• Metric Space
• Number Theory
• Probability Theory

PhD Mathematics Entrance Exams

• CSIR UGC NET
• UGC NET
• ICAR AICE JRF/SRF
• IIT JAM
• VITREE
• NIPER PhD Entrance Exam

How to Prepare for a PhD Mathematics Entrance Exam?

The syllabus for PhD Mathematics entrance exams will vary from institute to institute. However, most exams concentrate on mathematics-related subject knowledge and skills.

The paper shall have two different parts,

1. Part I - Here 10 questions will be given. Out of these, 6 will have to be answered. This part will carry 40 marks.
2. Part II - Here 10 questions will be given, out of which 6 ought to be answered. This part will carry 60 marks.

The following sections are generally covered in the Phd mathematics entrance exams syllabus:

• Abstract Algebra
• Complex Analysis
• Elements of Numerical Analysis
• Linear Algebra
• Ordinary Differential Equations
• Partial Differential Equations
• Real Analysis

Students should consider buying study material and practice materials of PhD Mathematics entrance exams so that they prepare well for the same. This paper carries a total of 100 marks and candidates will need to conclude writing the exam within a period of 3 hours.

PhD Mathematics: Admission Process

Most colleges and institutes offering PhD Mathematics courses admit students based on the graduate degree level examination marks. Some institutes, however, do conduct entrance examinations to judge a candidate’s capability.

The following are the two major pathways through which PhD Mathematics admissions take place:

Merit-Based Admission:

Most private universities such as Lovely Professional, AMU, and others that offer PhD (Mathematics) courses usually admit students based on the marks secured at the master’s/ graduate degree. Apart from this, these colleges may conduct a Personal Interview or a small Written Test to further know the candidate and his/her skills.

Entrance Exam Based:

Top PhD Colleges like Chandigarh University, RKMVCC, Stella Maris College, etc. offer admission in the PhD (Mathematics) program through entrance examinations that usually consist of MCQ-based questions related to Algebra, Analysis, Discrete Mathematics, etc. helping the college to screen the deserving candidates for admission.

After the result declaration of these Entrance Exams, colleges may further conduct a Personal Interview Round of the qualified candidates to know their interest in the course, skills, and career and might go through their Art Portfolio as well.

Types of PhD Mathematics

Aspirants can pursue the PhD in Mathematics course in multidisciplinary and multiple ways. Students can pursue it traditionally like a Full-time course, or they can pursue it part-time or distance learning.

Full-Time PhD Mathematics

A full-time PhD course is a three to five-year-long course where the students will have to attend regular classes. The classes are conducted in person, and the students will have to attend college to finish these classes.

Part-Time PhD Mathematics

A part-time PhD Mathematics course is a doctorate course for students who can't commit to attending classes regularly. In this format, the students can study according to their schedules.

Career Options After PhD in Mathematics

A graduate of the PhD Mathematics program has numerous career options. PhD Mathematics graduates primarily work in government and international organizations. They are sought in a variety of fields, including:

• Academic Institutes
• Banking Sector
• Stock Exchanges
• Math Research Centers
• Military Schools
• Defense Services
• Trade & Transportation Centers

Skills Required For PhD Mathematics

An aspirant who wishes to pursue a PhD Mathematics must have the necessary skills to progress in the course. The course is practical and requires prior knowledge. Here is a list of a few skills an applicant should have:

1. Researching
2. Mathematical skills
3. Interpretation skills
4. Qualitative Understanding
5. Quantitative Data Interpretation

Job Prospects After Completed PhD Mathematics

1. Cashier
2. Insurance Manager
3. Finance Manager
4. Accountant
5. Loan Counselor
6. Professor/ Asst. Professor