Doctorate of Philosophy
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:
Ph.D. Mathematical Science Job Scopes:
PH.D. ADMISSION PROCEDURE
DOCUMENTS CHECKLIST
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.
Subjects of Study |
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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 |