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Ph.d. Mathematical Science Admission 2024 - Dates, Eligibility, Fees, Entrance Exams, Application Process

  • Name: PH.D. MATHEMATICAL SCIENCE
  • Full Name: DOCTOR OF PHILOSOPHY IN MATHEMATICAL SCIENCE
  • Duration: 3 Years
  • Eligibility: Post Graduation
  • Mode: Year
  • Type: Degree

PhD Mathematical Science ,Highlights, Entrance Exam, admission, Eligibility, Duration, Selection Criteria, How to Apply, Application Form, Application Process, fee, Syllabus,Salary and Jobs,career opportunities,Top College in India

A PhD in Mathematical Science is a rigorous and advanced program that trains students in the areas of pure mathematics, applied mathematics, statistics, and computational mathematics. The program is typically designed to prepare students for research and academic positions in academia, government, and industry.

During the course of the program, students take advanced coursework in mathematical analysis, algebra, topology, geometry, and other related areas, as well as in statistics, probability theory, numerical analysis, and optimization. They also work on original research projects under the guidance of faculty members in their department.

The goal of the PhD in Mathematical Science is to enable students to make significant contributions to the field of mathematics and related areas, and to develop the necessary skills and knowledge to become independent researchers and educators. Graduates of the program may go on to work in a variety of fields, including academia, finance, engineering, and scientific research.

Some potential research areas for PhD students in Mathematical Science include:

Algebraic geometry

Differential geometry

Number theory

Combinatorics

Partial differential equations

Topology

Stochastic processes

Statistical inference

Computational mathematics

Optimization

Admission to PhD programs in Mathematical Science is highly competitive and typically requires a strong background in mathematics, including coursework in calculus, linear algebra, real analysis, and abstract algebra. Applicants are also expected to have strong analytical and problem-solving skills, as well as the ability to communicate mathematical ideas clearly and effectively.

PhD Mathematical Science Highlights

Here are some highlights of a PhD program in Mathematical Science:

Rigorous coursework: The program typically includes advanced coursework in pure and applied mathematics, statistics, and computational mathematics, which is designed to provide students with a solid foundation in the field.

Original research: Students are expected to conduct original research in an area of mathematics or related field, working closely with faculty members in their department.

Specialization: Students can specialize in a variety of areas, such as algebraic geometry, differential geometry, number theory, partial differential equations, statistics, or computational mathematics.

Seminars and workshops: The program may offer seminars, workshops, and guest lectures by leading researchers in the field, which provide students with the opportunity to learn about the latest advances in mathematics and related areas.

Teaching experience: PhD students are often required to teach undergraduate courses, which provides them with valuable teaching experience and prepares them for academic positions after graduation.

Career opportunities: Graduates of a PhD program in Mathematical Science are prepared for academic and research positions in academia, government, and industry, as well as careers in finance, engineering, and scientific research.

Networking: PhD programs offer students the opportunity to network with other researchers in the field, which can lead to collaborations and research opportunities after graduation.

Overall, a PhD in Mathematical Science is a challenging and rewarding program that prepares students for a career in mathematics and related fields.

PhD Mathematical Science Entrance Exam:

Most PhD programs in Mathematical Science require applicants to take a standardized test, such as the GRE Subject Test in Mathematics. Some programs may also require applicants to take additional exams, such as a language proficiency exam or a general knowledge exam.

PhD Mathematical Science Admission:

Admission to a PhD program in Mathematical Science is highly competitive and typically requires a strong background in mathematics, including coursework in calculus, linear algebra, real analysis, and abstract algebra. Applicants are also expected to have strong analytical and problem-solving skills, as well as the ability to communicate mathematical ideas clearly and effectively. Admission decisions are typically based on academic record, standardized test scores, letters of recommendation, and statement of purpose.

PhD Mathematical Science Eligibility:

Eligibility criteria for a PhD program in Mathematical Science varies by institution, but typically includes a master's degree in mathematics or a related field. Some programs may also admit students with a bachelor's degree who demonstrate exceptional promise in the field. International students may also need to demonstrate proficiency in English through a standardized test such as TOEFL or IELTS.

PhD Mathematical Science Duration:

The duration of a PhD program in Mathematical Science varies by institution, but typically takes around 4-5 years to complete. The program may include coursework, research, and teaching requirements, as well as a comprehensive exam and a dissertation defense.

PhD Mathematical Science Selection Criteria:

Selection criteria for a PhD program in Mathematical Science typically include academic record, standardized test scores, letters of recommendation, statement of purpose, and research experience. Some programs may also consider other factors, such as work experience or extracurricular activities.

PhD Mathematical Science How to Apply:

To apply for a PhD program in Mathematical Science, applicants typically need to submit an online application through the institution's admissions website. Application requirements may include transcripts, standardized test scores, letters of recommendation, statement of purpose, research proposal, and a writing sample. International students may also need to submit additional documentation, such as a language proficiency test score and financial statements. Applicants should check the institution's website for specific application instructions and deadlines.

PhD Mathematical Science Application Form and Process:

To apply for a PhD program in Mathematical Science, applicants must typically complete an online application form and submit it along with the required documents, such as transcripts, standardized test scores, letters of recommendation, and a statement of purpose. International students may also need to submit additional documents, such as a language proficiency test score and financial statements. The application process and required documents vary by institution, so applicants should check the institution's website for specific instructions and deadlines.

PhD Mathematical Science Fee:

The application fee for a PhD program in Mathematical Science varies by institution and country. In India, the application fee for a PhD program in Mathematical Science typically ranges from INR 500 to INR 2000, depending on the institution.

PhD Mathematical Science Syllabus:

The syllabus for a PhD program in Mathematical Science varies by institution, but typically includes advanced coursework in pure and applied mathematics, statistics, and computational mathematics. Students also conduct original research in an area of mathematics or related field, and are required to complete a dissertation based on their research. Specific course requirements and research topics may vary by institution and department.

PhD Mathematical Science Salary and Jobs:

Graduates of a PhD program in Mathematical Science are well-prepared for careers in academia, government, and industry, as well as in finance, engineering, and scientific research. The salary and job prospects for PhDs in Mathematical Science vary by industry and location. In academia, salaries for assistant professors typically range from INR 6-10 lakhs per year, while associate and full professors may earn up to INR 30-50 lakhs per year. In industry, salaries vary widely depending on the type of job and location, but PhDs in Mathematical Science are generally well-compensated. According to payscale.com, the average salary for a mathematician in India is around INR 6 lakhs per year.

PhD Mathematical Science Career Opportunities:

Some potential career opportunities for graduates of a PhD program in Mathematical Science include:

Academic positions in mathematics departments at universities and colleges

Research positions in government agencies or research institutions

Data analyst or statistician in industries such as finance, healthcare, or technology

Actuary in insurance or finance industry

Quantitative analyst in finance or technology industry

PhD Mathematical Science Top Colleges in India:

Some of the top colleges in India for a PhD in Mathematical Science include:

Indian Institute of Technology (IIT) Bombay

Indian Institute of Science (IISc) Bangalore

Tata Institute of Fundamental Research (TIFR) Mumbai

Chennai Mathematical Institute (CMI) Chennai

Harish-Chandra Research Institute (HRI) Allahabad

Indian Statistical Institute (ISI) Kolkata

University of Delhi Delhi

Institute of Mathematical Sciences (IMSc) Chennai

Jawaharlal Nehru University (JNU) Delhi

Pondicherry University Pondicherry

Ph.D. Mathematical Science is a 3-year duration doctoral level course. It is a category of areas of study that involves, in addition to mathematics, those educational disciplines that are essentially mathematical in nature. The course syllabus divide in six semesters of six month each. In the program various subject includes such as Complex variables, Probabilities: limit theorems, Differential geometry, Functional Analysis, Operational Mathematics, Algebraic Topology and Complex analysis & Lots of Unresolved Mysteries of Mathematics. It is career presenting in nature and provide various job opportunities after its successful completion this course. The degree level course suitable for those person who have ability skills to handle and analyse large quantities of data, clear, logical thinking also is necessary for it. Various college and university offered this course.

Ph.D. Mathematical Science Admission Process:

Admission to the Ph.D. program shall be based on the students marks obtained in the entrance test conducted by the respective department or school of the particular university or institute. Those candidates who have complete GATE/NET/SET/ M.Phil/JRF Examination in the pertinent subject of the apex bodies as CSIR/UGC/ICAR/ICMR/DBT will be exempted from the Entrance Test. While giving the exemption, the Departmental Committee of the institute may consider research work/earlier Ph.D./experience done by the student. If a student already holds a Doctors degree in a relevant subject from a UGC Approved University or Institute, he/she may be exempted from entrance exam and pre Ph.D. coursework. After clearing the both steps the student will be eligible to pay course fee or registration fee. Only the predetermined number of candidates may be admitted to Ph.D. programme.

Ph.D. Mathematical Science Employ Zone:

  • Maths Research Centres
  • Military Schools
  • Defence Services
  • Trade & Transportation Centres
  • Academic Institutes
  • Banking Sector
  • Stock Exchanges

Ph.D. Mathematical Science Job Scopes:

  • Mathematics Instructor
  • Assistant Professor
  • Mathematics Teacher
  • Subject Matter Expert
  • Assessment Specialist
  • Mathematics Tutor
  • Associate Professor
  • Lecturer


PH.D. 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.

PH.D. MATHEMATICAL SCIENCE: Subjects of Study (Syllabus)

Subjects of Study
English for Science and Technology
Mathematics I
Physics I
Chemistry
Section A (Engineering Materials)
Section B
Engineering Graphics
Environmental Studies
Workshop Practice I
Chemistry Practical
Physics Practical I
Mathematics II
Physics II
Section A (Programming Languages)
Section B Introduction to Information Tech
Electrical Technology
Electronics and Instrumentation
Engineering Mechanics
Value Education, HR Environment
Physics Practical II
Electrical Technology Practical
Engineering Mechanics Practical
Workshop Practice II
Electronics & Instrumentation Practical
Mechanics of Solids
Applied Thermodynamics
Theory of Machines
Machine Drawing and Computer Graphics
Mathematics III
Mechanics of Solids Practical
Applied Thermodynamics Practical
Theory of Machines Practical
Fluid Mechanics
Dynamics of Machinery
Mechanical Engineering Design
Electrical Machines and Control
Numerical and Statistical Methods
Fluid Mechanics Practical
Dynamics of Machinery Practical
Numerical and Statistical Methods Practical
Fluid Machines
Heat and Mass Transfer
Production Technology I
Advanced mechanical Engineering Design
Industrial Engineering and management
Fluid Machines Practical
Heat and Mass Transfer Practical
Workshop Practice III
Internal Combustion Engines
Mechanical Vibration
Production Technology II
Computer Aided Design
Advanced Solid Mechanics
Internal Combustion Engines Practical
Mechanical Vibration Practical
Workshop Practice IV
Measurement and Instrumentation
Energy Conversion Equipment
Operations Research
Industrial Tri-bology (Electives-Any Two)
Mechatronics
Waste Heat Utilization
Noise Engineering
Refrigeration and Air Conditioning
Utilization of Non-Conventional Energy
Fracture Mechanics
Advanced Manufacturing Systems
Measurements and Instrumentation Practical
Energy Conversion Equipment Practical
Advance Fluid Mechanics
Computer Aided Manufacturing
Automobile Engineering
Mechanical Handling Equipment (Electives-Any Two)
Finite Element Analysis
Ergonomics
Maintenance Engineering
Composite Materials
Automation and Robotics
Power Plant Engineering
Hydraulic and Pneumatic System
Environmental Engineering
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