PhD in Mathematics, Syllabus, Eligibility, Duration, Degree Course, Salary And Job 2024-25

PhD in Mathematics Admission Overviews

PhD Mathematics is a doctoral program in mathematics. It is the study of structure, space, quantity, and change. Look for patterns and formulate new assumptions. After earning a PhD, scientists must submit a "thesis" and receive the relevant degree they are seeking. Programs can be as short as 3 years and as long as 5-6 years. The minimum qualification and other eligibility criteria for admission is a Master's degree. Degree/B in Mathematics or Physics. Engineering candidates from any field can also apply. Some institutions offer direct admission to graduate students with excellent academic performance. PhD Mathematics is a broad course of study and requires a minimum amount of coursework and research work.

The Doctor of Philosophy (PhD) in Mathematics and Applied Mathematics, Mathematics Track, is a research-focused degree program that prepares students for careers in academia, industry, and government. The program typically lasts four to six years and includes advanced courses in pure and applied mathematics and independent research leading to a dissertation.

Mathematics and Applied Mathematics PhD Program, Mathematics track coursework typically includes topics such as calculus, algebra, geometry, topology, probability, statistics, and numerical analysis. Depending on their research interests, students can also take courses in related fields such as physics, computer science, engineering, and economics.In addition to coursework, students in the program will work closely with faculty members to develop their research skills and conduct independent research. The research component of the program involves selecting a research topic, developing a research plan, conducting experiments or simulations, analyzing data, and writing a dissertation.

Career paths for graduates of a PhD in Mathematics and Applied Mathematics, Mathematics Track, include academic positions as professors, postdoctoral research positions, research positions in industry or government agencies, and consulting positions in areas such as finance, data analysis, and technology development.

PhD in Mathematics and Applied Mathematics Mathematics Track Highlights

Here are some highlights of a Doctor of Philosophy (PhD) in Mathematics and Applied Mathematics, Mathematics Track:

Advanced coursework: The program includes advanced coursework in pure and applied mathematics, as well as related fields such as physics, computer science, engineering, or economics. This coursework is designed to provide students with a deep understanding of the fundamental principles of mathematics and their applications.

Research focus: The program is research-focused and emphasizes independent research. Students work closely with faculty members to develop their research skills and conduct original research leading to a dissertation.

Flexibility: Students can tailor their coursework and research to their specific interests within the field of mathematics and applied mathematics. This allows students to pursue their own research questions and interests.

Career opportunities: Graduates of the program have a wide range of career opportunities in academia, industry, and government agencies. They can pursue academic positions as professors or postdoctoral researchers, research positions in industry or government agencies, or consulting positions in areas such as finance, data analysis, and technology development.

Transferable skills: The program develops transferable skills such as critical thinking, problem-solving, and communication, which are highly valued in a variety of fields. Graduates are well-equipped to tackle complex problems and contribute to the advancement of knowledge in their chosen fields.

PhD in Mathematics Course Details

Course Level
Doctorate Course
Full-Form
Doctor of Philosophy in Mathematics
Duration
3 year
Examination Type
Semester-based
Eligibility Criteria
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
Updated Soon
Job Positions
Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc.

Eligibility Criteria For PhD in Mathematics and Applied Mathematics Mathematics Track

MSc/MSc in Mathematics or Physics

B. Technical candidates from any field are also eligible to apply, but this may vary by institution.

Some institutions offer direct admission to doctoral students with excellent academic performance.

Each university also has a minimum score. Overall it should be 55% (for SC/ST he is 50%).

PhD in Mathematics and Applied Mathematics Mathematics Track Entrance Exam

Many universities require applicants to take the GRE (Graduate Record Examination) General Test, which includes sections on verbal reasoning, quantitative reasoning, and analytical writing. Some universities also require or recommend the GRE Subject Test in Mathematics

PhD in Mathematics and Applied Mathematics Mathematics Track Duration

A PhD in Mathematics and Applied Mathematics, Mathematics Track, typically takes four to six years to complete, depending on the program and the student's research progress.

PhD in Mathematics and Applied Mathematics Mathematics Track Selection Criteria

Admission to a PhD program in Mathematics and Applied Mathematics, Mathematics Track, is highly competitive and based on several factors, including academic record, test scores, letters of recommendation, research experience, and statement of purpose. Some universities may also require an interview or writing sample.

PhD in Mathematics and Applied Mathematics Mathematics Track How to Apply

Applicants typically need to submit an online application through the university's admissions website, which includes transcripts, test scores, letters of recommendation, and a statement of purpose. Some universities may also require a writing sample or research proposal.

Doctor of Philosophy PhD in Mathematics and Applied Mathematics Mathematics Track Application Form

The application form can be found on the university's admissions website and typically includes sections for personal information, academic background, test scores, and contact information for letters of recommendation. Some universities may also require additional information, such as a writing sample or research proposal.

PhD in Mathematics and Applied Mathematics Mathematics Track Admission Process

The following are the two major pathways through which Ph.D. Mathematics admissions take place:

Merit-Based Admission
Most private universities such as Lovely Professional, AMU, and others that offer Ph.D. (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 Ph.D. Colleges like Chandigarh University, RKMVCC, Stella Maris College, etc. offer admission in the Ph.D. (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.

PhD in Mathematics and Applied Mathematics Mathematics Track Application Fee:

The application fee for a PhD in Mathematics and Applied Mathematics, Mathematics Track, varies by university and is typically around $75 to $100.

PhD in Mathematics and Applied Mathematics Mathematics Track Syllabus

The syllabus for a PhD in Mathematics and Applied Mathematics, Mathematics Track, varies by university, but typically includes advanced coursework in pure and applied mathematics, as well as related fields such as physics, computer science, engineering, or economics. The coursework may cover topics such as analysis, algebra, geometry, topology, probability, statistics, and numerical analysis.

Job Profiles After PhD in Mathematics and Applied Mathematics Mathematics Track

Graduates of a PhD in Mathematics and Applied Mathematics, Mathematics Track, have a wide range of career opportunities, including academic positions as professors or postdoctoral researchers, research positions in industry or government agencies, or consulting positions in areas such as finance, data analysis, and technology development. The salary for these positions varies by location, experience, and industry, but in general, PhD holders in mathematics and applied mathematics have high earning potential.

Job profile
Job Description
Cashier
Cashiers are responsible for selecting the right product, and also consider becoming a retail sales worker. They may also set up store displays and perform cashier duties. The training is generally offered by the employer.
Insurance Manager
Insurance Managers are responsible for researching which helps them forecast how likely it is for certain risk events to occur and how these events will impact their company with a potential loss.
Finance Manager
Finance Managers are responsible for monitoring accounts, reviewing financial reports, maintaining reports, and preparing activity reports and financial forecasts. They also examine the ways to raise profitability and analyze markets for business opportunities.
Accountant
These professionals are responsible for performing administrative duties such as the production of forms, and maintaining schedules. They prepare financial statements and tax returns, and accounting firms represent clients on matters pertaining to their financial affairs.
Professor/ Asst. Professor
They are much needed to provide basic education to the students who are interested to study art at doctoral level programs.

PhD in Mathematics and Applied Mathematics Mathematics Track Career Opportunities

Some of the career opportunities for graduates of a PhD in Mathematics and Applied Mathematics, Mathematics Track, include:

Academic positions as professors or postdoctoral researchers in mathematics or related fields.

Research positions in industry or government agencies, such as in finance, engineering, or technology development.

Consulting positions in areas such as data analysis or technology development.

Entrepreneurship, such as founding a technology startup or consulting firm.

PhD in Mathematics and Applied Mathematics Mathematics Track Top Colleges in India

Some of the top colleges in India for a PhD in Mathematics and Applied Mathematics, Mathematics Track, include:

Indian Institute of Technology (IIT) Delhi
Indian Institute of Science (IISc) Bangalore
Indian Statistical Institute (ISI) Kolkata
Chennai Mathematical Institute (CMI)
Tata Institute of Fundamental Research (TIFR) Mumbai.

PhD in Mathematics Admission Process

Application for the entrance exam 

Result declaration

Entrance pass scholar calling for the interview and document verification

Provisional registration for pre-Ph.D. course work classes

Coursework classes shall be attended as scheduled by the University

Course work examination

Result declaration of coursework

Submission of synopsis ( 2 spiral bound copies with soft copy of synopsis)

Departmental research committee meeting scheduled by University

A registration letter shall be issued

Research work started by scholar

6 progress reports shall be submitted

Soft copy thesis submit

plagiarism report check by the university

Final after the plagiarism report soft copy thesis shall be sent to experts for evaluation

After the consent of experts pre-submission, one set spiral binding shall be submitted

After the successful presentation of the pre-submission thesis 3 copies of hard bound thesis shall be  submitted

Viva shall be conducted as scheduled by University, Degree Awarded.

DOCUMENTS DOCUMENTS

Documents (10th onwards)

Aadhar Card/Pan Card, Caste Certificate

Migration Certificate (Original)

NOC (From Organization/ Institute/ University)

Affidavit (undertaking)

Guide Willing

Assignments

Synopsis (3 copies), Progress Report

Library No Dues

Lab Letter

Thesis Hard copy (Spiral binding)

No Dues, Thesis (6 hard copies)

Affidavit -Submission (on Rs 100 Stamp and Notary Attested)

C.D Soft copies (Thesis & Synopsis)

Conference Certificate - 2

Research Papers -2 (with ISSN No.)

summary (page limit 20-30) -3 Copies 

Plagiarism Report Below 10%

FAQs About Ph.D. Program 

Q.1 - What is the procedure for a 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.

PHD Admission 2024-25