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PhD in Mathematics ( Doctor of Philosophy in Mathematics)

3 YearsDOCTORATE DEGREE COURSESYEAR

PhD in Mathematics About

PhD. Mathematics is a Doctorate of Mathematics course. It is the study of structure, space, quantity, and change. It seeks out patterns and formulates new conjectures. On the completion of a doctorate, scholars should submit their ‘thesis’ and, then they deserve the respective degree they are pursuing. The duration of the program is a minimum of 3 years and a maximum of 5-6 years. The minimum qualifications and other eligibility criteria for admission are M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline can also apply/ Some Institutes also offer direct admission for Graduate students with excellent academic performance. PhD. Mathematics is a broad-based course involving a minimum course credit requirement and a research thesis.

PhD in Mathematics Course Highlights

Course Level
Doctorate Course
Full-Form
Doctor of Philosophy in Mathematics
Duration
3 years
Examination Type
Semester-based
Eligibility
M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline with a minimum of 55% score
Admission process
Merit-based / Entrance Examination
Course Fee
INR 20,000 – 3 Lakhs per annum
Average Salary
INR 3 – 9 Lakhs per annum
Top Recruiting Companies
Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics (e.g. Ernst & Young, Tiger Analytics, TCS Innovation Lab, Weizmann Institute, etc.)

PhD in Mathematics Entrance Exam

  • Most universities require students to take a Graduate Record Examination (GRE) subject test in Mathematics as part of their admission process.
  • Some universities may also require students to take a general GRE exam.
  • Additionally, some universities may require students to take a mathematics placement exam before beginning their coursework.

PhD in Mathematics Admission Process

Admission to a PhD program in Mathematics is highly competitive and requires students to have a strong background in mathematics, typically demonstrated by having completed a bachelor's or master's degree in mathematics or a related field.
Additionally, students are expected to have a high GPA and GRE scores, strong letters of recommendation, and a well-defined research interest.

PhD in Mathematics Eligibility Criteria

M.Sc./ Master’s Degree in Mathematical or Physical Sciences
B. Tech Candidates from any discipline can also apply, it may vary by Institutes.
Some Institutes also offer direct admission for Graduate Students with excellent academics records.
Each college also further has a set minimum aggregate marks. Overall, it should be 55% (50% for SC / ST).

PhD in Mathematics Duration

The duration of a PhD program in Mathematics varies depending on the program and the student's progress. Typically, the program takes 3-5 years to complete, but some students may take longer to complete their research and thesis.

PhD in Mathematics Selection Criteria

The selection criteria for admission to a PhD program in Mathematics typically include academic performance, research experience, letters of recommendation, and GRE scores. Additionally, students may be asked to participate in an interview or submit a personal statement outlining their research interests and goals.

PhD in Mathematics How to Apply

  • To apply for a PhD program in Mathematics, students typically need to submit an online application, along with transcripts, letters of recommendation, GRE scores, and a personal statement outlining their research interests and goals.
  • Some universities may also require students to participate in an interview or submit a writing sample.
  • Students should consult the specific application requirements of each university to which they are applying.

PhD in Mathematics Application Process

The application form and process for a PhD in Mathematics can vary depending on the university, but typically involves the following steps:
Research potential universities and their PhD programs in Mathematics.
Complete an online application form for each university.
Submit official transcripts from all previous institutions attended.
Request letters of recommendation from faculty members who can attest to the student's academic ability and potential for research.
Submit GRE scores.
Submit a personal statement outlining the student's research interests and goals.
Some universities may require a writing sample or interview as part of the application process.

PhD in Mathematics Application Fee Structure

The application fee for a PhD program in Mathematics can vary depending on the university. On average, the fee can range from $50 to $100 per application.

PhD in Mathematics Syllabus

The syllabus for a PhD in Mathematics can vary depending on the university and the student's research interests, but typically includes advanced coursework in topics such as algebra, analysis, topology, geometry, and number theory. In addition to coursework, students are expected to complete original research and write a thesis under the guidance of a faculty advisor.

1 Year

  • Algebra
  • Analysis
  • Calculus
  • Computational Techniques
  • Computer Science

2 Year

  • Differential Equation
  • Differential Geometry
  • Discrete Mathematics
  • English Literature
  • Linear Programming

3 Year

  • Mathematical Finance
  • Mechanics
  • Metric Space
  • Number Theory
  • Probability Theory

PhD in Mathematics Salary and Jobs

Graduates with a PhD in Mathematics can pursue a variety of careers in academia, research, and industry. According to the Bureau of Labor Statistics, the median annual wage for mathematicians and statisticians was $92,030 as of May 2020. Some common career paths for graduates of a PhD in Mathematics include:

  • University professor
  • Research scientist
  • Data analyst
  • Actuary
  • Quantitative analyst
  • Risk analyst
  • Mathematician in government or industry

PhD in Mathematics Career Opportunities

The career opportunities for graduates of a PhD in Mathematics are varied and can include positions in academia, research, and industry. Graduates may pursue careers in:

Higher education: 
teaching and conducting research at universities and colleges.
Research:
conducting original research in academia, government, or industry.
Finance: 
working in the finance industry as a data analyst, actuary, or quantitative analyst.
Technology:
working in the technology industry as a data scientist, machine learning engineer, or software developer.
Government: 
working for the government in areas such as national security, healthcare, or environmental policy.

PhD in Mathematics Top Colleges

Some of the top universities offering PhD programs in Mathematics include:

  1. Massachusetts Institute of Technology (MIT)
  2. Harvard University
  3. University of California, Berkeley
  4. Stanford University
  5. California Institute of Technology (Caltech)
  6. Princeton University
  7. University of Chicago
  8. University of Michigan
  9. University of Texas at Austin
  10. University of Wisconsin-Madison.

PHD ADMISSION PROCEDURE

  1. Application for the entrance exam 
  2.  Result declaration
  3. Entrance pass scholar calling for the interview and document verification
  4. Provisional registration for pre Ph.D. course work classes
  5. Coursework classes shall be attended as scheduled by University
  6. Course work examination
  7. Result declaration of coursework
  8. Submission of synopsis ( 2 spiral bound copies with soft copy of synopsis)
  9. Departmental research committee meeting scheduled by University
  10. A registration letter shall be issued
  11. Research work started by scholar
  12. 6 progress reports shall be submitted
  13. Soft copy thesis submit
  14. plagiarism report check by the university
  15. Final after the plagiarism report soft copy thesis shall be sent to experts for evaluation
  16. After the consent of experts pre-submission, one set spiral binding shall be submitted
  17. After the successful presentation of the pre-submission thesis 3 copies of hard bound thesis shall be  submitted
  18. Viva shall be conducted as scheduled by University, Degree Awarded.

DOCUMENTS CHECKLIST

  1.  Documents (10th onwards)
  2. Aadhar Card/Pan Card, Caste Certificate
  3. Migration Certificate (Original)
  4. NOC (From Organization/ Institute/ University)
  5. Affidavit (undertaking)
  6. Guide Willing
  7. Assignments
  8. Synopsis (3 copies), Progress Report
  9. Library No Dues
  10. Lab Letter
  11. Thesis Hard copy (Spiral binding)
  12. No Dues, Thesis (6 hard copies)
  13. Affidavit -Submission (on Rs 100 Stamp and Notary Attested)
  14. C.D Soft copies (Thesis & Synopsis)
  15. Conference Certificate - 2
  16. Research Papers -2 (with ISSN No.)
  17. summary (page limit 20-30) -3 Copies 
  18. Plagiarism Report Below 10%

FAQs About Ph.D. Program 

Q.1 - What is the procedure for Ph.D.? Admission to the University?

ANSWER: - The Ph.D. and M.Phil. programs of prestigious Universities are conducted and guided strictly as per the provisions and regulations dictated by the UGC (Minimum Standards and Procedure for Award of Ph.D./M.Phil. Degrees) (1st Amendment) Regulations, 2018 and subsequent amendments. The entire procedure for admission to the research programs encompasses a Research Entrance Exam (RET) and then an Interview/Viva Voce. The performance of a candidate in the RET is given 70% weightage, and the remaining 30% weightage is given to his/her performance at the Interview.

Q.2 - What are the modes of pursuing M.Phil. & Ph.D. programs at the University?

ANSWER: -Both the full-time and part-time modes are available at University for pursuing its Ph.D. programs and only the full-time mode is available for M.Phil. program in the desired subjects/fields. These highly-qualitative and prolific research programs are available in a rather broad range of fields/subjects. At University, the minimum time duration of the M.Phil. and Ph.D. programs is 1.5 Years and 3 Years, respectively, in general.

Q.3 - Are the Ph.D. and M.Phil. Degrees granted by any University valid abroad?

ANSWER: -Yes, of course. If the University is properly recognized under section 2(f) of the UGC Act of 1956 and is a prestigious member of the AIU (the Association of Indian Universities). It is an M.Phil. and Ph.D. degrees granted in various fields/subjects are duly valid across India and the world.

Q.4 - What are the main eligibility criteria for participating in the University Research Entrance Exam (RET)?

ANSWER: -The following are the main eligibility conditions for participating in the RET: - A rigorous Master’s Degree in the proposed subject/field obtained from any recognized university/institution located in India or abroad, with a minimum 55% marks in aggregate or an equivalent grade. Candidates belonging to SC/ST/OBC/Differently-abled categories are given a 5% relaxation in respect of this eligibility criterion. Candidates with an M.Phil. degree in the proposed field/subject, or have qualified for the UGC (JRF) Examinations/ NET/ SET/ SELT, etc., will be allowed to appear directly for the interview, without appearing in the RET. Impressive academic records, and any prior experience in research work, will be given additional advantages.

Q.5 - What relaxations are granted to the reserved categories for Ph.D.? Admission to the University?

ANSWER: - Candidates belonging to the categories of SC/ST/OBC (Non-Creamy layer)/Differently-Abled, and so on, are given all relaxations prescribed by the Govt. of India and the UGC. These relaxations are provided in form of 5% reduced marks for them at post-graduation, and also in the minimum qualifying marks at RET. Thus, candidates belonging to these categories only need to score a minimum of 45% marks at RET, to qualify for the final interview.

Q.6 - How will be the pattern of RET?

ANSWER: - The syllabus or pattern of RET consists of subject-specific matters, research methodology, and aptitude (covering logical reasoning, numerical ability, analytical reasoning, statistics, etc.).Thus, RET will contain a total of 70 multiple-choice questions (MCQs).

Q.7 - Are M.Phil. Holders/UGC- NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE exempted from appearing at RET?

ANSWER: - Yes. The holders of M.Phil. degrees in their respective fields/subjects are made exempt from appearing in RET. The same is the situation in cases of aspiring candidates who have qualified exams like UGC-NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE, etc.

Q.8 - How is the application fee paid?

ANSWER: - The Application Fee (i.e. the fee for getting participated in RET) can be paid online or offline, like the Application Form. Payment Modes: DD (in Favor of the University) / NEFT/ Cash Deposit.

Q.9 - Do working candidates require to obtain NOC from employers for pursuing research at any University?

ANSWER: - Yes, necessarily. Working Professionals who are interested in research at any University are required to obtain the NOC (No Objection Certificate) from their respective employers, in order to avert any intrusion ever during the entire doctoral course.

Q.10 - Does an M.Phil. holder require to undergo Ph.D. coursework?

ANSWER: - Yes. M.Phil. holders are again required to undergo the coursework in Ph.D. at some Universities. However, their prior knowledge in the field/subject will be very supportive to them for learning and performing efficiently during the Ph.D. program.

Q.11 - Can I pay the yearly program/course fee in installments?

ANSWER: - Yes, you can pay the yearly course fee as many as in two installments, but well within the yearly session.

Q.12 - Does Any University provide any scholarship or stipend to pursuing scholars?

ANSWER: - Yes, of course. Many Universities offer scholarships as well as stipends to meritorious and talented candidates who undertake research studies at the University. Scholarships are granted to those candidates who come under the top 21 by scoring higher marks in RET and interviews. And, stipends are provided to those scholars who also give lectures to UG or PG students at the University, in addition to doing their Ph.D. coursework. The amount of the monthly stipend will be commensurate with the candidate’s qualifications and capabilities and may go up to Rs. 20,000.

Q.13 - What other many facilities are provided to research scholars at the University Campus?

ANSWER: - All necessary and constructive resources, amenities, and facilities are offered by well-established and prestigious universities to research scholars in various streams/subjects. These facilities include the following - spacious and peaceful study rooms, erudite and well-experienced academicians and research experts, Wi-Fi and diverse IT devices, state-of-the-art laboratories, well-stocked libraries, lavish R&D amenities, separate amenities for lodging and foods for male and female candidates, peaceful and constructive environment within the university campus, and many other comforting and convenient facilities and services.

DOCTOR OF PHILOSOPHY IN MATHEMATICS (PHD IN MATHEMATICS)

Doctor of Philosophy in Mathematics (PhD in Mathematics) is a 3 Years Doctorate Degree Courses program that focuses on Doctor of Philosophy. The course combines theoretical knowledge with practical skills to prepare students for a career in Doctor of Philosophy.

Name
PhD in Mathematics
Duration
3 Years
Type
DOCTORATE DEGREE COURSES
Eligibility
MASTER
Mode
YEAR
Admission Process
Entrance Exam

Syllabus & Subjects

First Year
Second Year
Third Year

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