A PhD in Mathematics with a Computational and Applied Mathematics emphasis typically involves advanced coursework in mathematical theory, computational methods, and their application to real-world problems. Students in this program will develop a deep understanding of mathematical concepts and their applications, as well as advanced computational skills.
The program typically includes coursework in areas such as numerical analysis, scientific computing, partial differential equations, optimization, and statistics. Students may also have the opportunity to take specialized courses in areas such as financial mathematics, fluid dynamics, or computational physics.
In addition to coursework, students will be expected to conduct independent research in their chosen area of specialization, culminating in the completion of a dissertation. This research may involve developing new mathematical models, designing and implementing computational algorithms, or analyzing data from experiments or simulations.
Graduates of a PhD program in Mathematics with a Computational and Applied Mathematics emphasis are well-prepared for careers in academia, industry, or government, where they can apply their advanced mathematical and computational skills to a wide range of problems. They may work as mathematicians, statisticians, data scientists, or computational scientists, among other roles.
Course Name | PhD in Mathematics Computational and Applied Mathematics Emphasis |
Course Level | Doctorate Course |
Full-Form | Doctor of Philosophy in Mathematics Computational and Applied Mathematics Emphasis |
Duration | 3 years |
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 | Notified Soon |
Average Salary | INR 3 – 9 Lakhs per annum |
Top Recruiting Companies | Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, etc. |
Job Positions | Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc. |
Listed below are some of the popular PhD in Mathematics Computational and Applied Mathematics Emphasis entrance exams.
CSIR-UGC NET for JRF Entrance Exam: CSIR UGC NET is a national-level exam conducted by the National Testing Agency (NTA) on behalf of Council of Scientific and Industrial Research (CSIR) to shortlist candidates for the award of Junior Research Fellowship (JRF) or lectureship in Indian universities and colleges. |
UGC NET Entrance Exam: The UGC NET for JRF, also known as National Eligibility Test (NET) or NTA-UGC-NET, is the test for determining the eligibility for the post of Junior Research Fellowship (JRF) or Asst. Professor award in Indian universities and colleges. |
NBHM Entrance Exam: National Board for Higher Mathematics is a board in India that conducts a national entrance exam intended to foster the development of higher mathematics, help in the establishment and development of mathematics centers, and give financial assistance to research projects and to doctoral and postdoctoral scholars. |
The following are the two major pathways through which PhD in Mathematics Computational and Applied Mathematics Emphasis admissions takes place:
Merit-Based Admission: | Most private universities such as Lovely Professional, AMU, and others that offer PhD in Mathematics Computational and Applied Mathematics Emphasis 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 in Mathematics Computational and Applied Mathematics Emphasis 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. |
The common Ph.D. (Mathematics) eligibility criteria to be successfully admitted into a college offering this course is as follows:
A PhD program in Mathematics with a Computational and Applied Mathematics emphasis typically takes four to six years to complete, depending on the student's background and research progress.
Here are some highlights of a PhD program in Mathematics with a Computational and Applied Mathematics emphasis:
Advanced coursework: Students will take advanced courses in mathematical theory, computational methods, and their applications to real-world problems. This coursework will provide students with a deep understanding of mathematical concepts and their applications, as well as advanced computational skills. |
Independent research: Students will be expected to conduct independent research in their chosen area of specialization, culminating in the completion of a dissertation. This research may involve developing new mathematical models, designing and implementing computational algorithms, or analyzing data from experiments or simulations. |
Faculty expertise: The program will be taught by faculty members with expertise in a wide range of mathematical and computational fields, including numerical analysis, scientific computing, optimization, statistics, financial mathematics, fluid dynamics, and computational physics. |
Interdisciplinary opportunities: Students will have the opportunity to collaborate with researchers in other disciplines, such as physics, engineering, biology, or finance, to apply mathematical and computational methods to interdisciplinary problems. |
Career opportunities: Graduates of the program will be well-prepared for careers in academia, industry, or government, where they can apply their advanced mathematical and computational skills to a wide range of problems. They may work as mathematicians, statisticians, data scientists, or computational scientists, among other roles. |
|
The application form for a PhD program in Mathematics with a Computational and Applied Mathematics emphasis will vary by program but may include sections for personal information, academic background, GRE scores, letters of recommendation, and a statement of purpose. |
The application will typically be submitted online through the program's website or a centralized application portal. |
The application process for a PhD program in Mathematics with a Computational and Applied Mathematics emphasis typically involves the following steps:
1 | Research programs | Research PhD programs in Mathematics with a Computational and Applied Mathematics emphasis and identify those that meet your academic and career goals. |
2 | Check admission requirements | Check the admission requirements for each program you are interested in applying to, including eligibility criteria, entrance exams, application deadlines, and required application materials. |
3 | Prepare application materials | Gather transcripts, GRE scores, letters of recommendation, a statement of purpose, and any other required materials. |
4 | Apply | Submit your application online through the program's website or a centralized application portal. |
The syllabus for a PhD program in Mathematics with a Computational and Applied Mathematics emphasis will vary depending on the institution and program. However, typical courses may include:
Real Analysis |
Numerical Methods |
Partial Differential Equations |
Mathematical Modeling |
Scientific Computing |
Probability Theory |
Stochastic Processes |
Financial Mathematics |
Data Analysis |
|
PhD in Mathematics Computational and Applied Mathematics Emphasis Career Opportunities:
Graduates of a PhD program in Mathematics with a Computational and Applied Mathematics emphasis are in high demand in a variety of fields, including finance, engineering, healthcare, technology, and government. Some career opportunities include:
Academia: Professors or researchers in mathematics departments or interdisciplinary research centers |
Industry: Data scientists, quantitative analysts, or researchers in finance, technology, or healthcare |
Government: Researchers or analysts in agencies such as the National Institutes of Health, the National Science Foundation, or the Department of Defense. |
Some of the top colleges in India for a PhD program in Mathematics with a Computational and Applied Mathematics emphasis include:
1 | Indian Institute of Technology (IIT) Delhi |
2 | Indian Institute of Technology (IIT) Bombay |
3 | Indian Statistical Institute (ISI) Kolkata |
4 | Indian Institute of Science (IISc) Bangalore |
5 | Chennai Mathematical Institute (CMI) |
6 | Tata Institute of Fundamental Research (TIFR) Mumbai |
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.