byGaganDeep
Updated on - 26 May, 2024
Applied Mathematics as a Doctor of Philosophy degree, usually takes 3-5 years to complete and is designed to offer profound understanding of mathematical concepts and their implementation in different fields. The students engage in advanced studies in such fields as numerical analysis, operations research, mathematical modeling and computing sciences etc. It offers postgraduate degree in areas such as partial differential equations, stochastic processes, nonlinear dynamics, optimization theory, computational mathematics. The course work produced in this program helps the students to gain specialized knowledge and skills to solve problems in scientific, engineering, commercial and industrial fields.
Standardized tests accepted for admission into Ph.D. Applied Mathematics programs include: GRE (Graduate Record Examination) – the general test &GRE Mathematics subject test, which covers single- & multivariable calculus and their applications, linear algebra, differential equations, and basic real analysis. In some cases, other universities may also consider applicants’ GMAT (Graduate Management Admission Test) scores in place of GRE. The candidates should possess a sound academic qualification with a master’s degree in mathematics, statistics, computer science or any other quantitatively related field to be deemed eligible for the post.
| Feature | Description |
|---|---|
| Full Form | Doctor of Philosophy |
| Duration | Typically 3 to 5 years (full-time) |
| Course Level | Doctoral |
| Eligibility | Master's degree in Applied Mathematics, Mathematics, Physics, or a related field with a strong foundation in mathematics |
| Top Colleges (India) | - Indian Institute of Science (IISc) Bangalore - Indian Institutes of Technology (IITs) (various locations) - Indian Statistical Institute (ISI) Kolkata, Delhi - National Institute of Science Education and Research (NISER) Bhubaneswar - University of Delhi |
| Entrance Exams (may vary) | - UGC NET (Mathematical Sciences) - CSIR UGC NET (Mathematical Sciences) - GATE (Mathematics) - Institute/University specific entrance exams |
1. A minimum of a 3-year Bachelor’s degree in mathematics or related field such as Statistics, Physics or computer Science with at least 50% marks.
2. This criterion also includes a valid score in any of the national level tests such as UGC-NET, GATE, CSIR-NET or any other national level test held by the any central/state level agency.
3. There are some universities which may prescribe passing a test conducted by the institute and an interview.
4. The specific requirements for admission may include some preferences for the institutes towards the relevant research or academic experience.
5. It is generally understood that continual good academic performance is the best policy and no breaks in learning are desirable.
6. In most institutes, the proficiency in English language satisfies the eligibility criteria as well as mathematical maturity.
1. CSIR-UGC NET: Assesses research ability in the area of mathematical sciences; a pass mark is a prerequisite for JRF fellowship.
2. GATE: This paper assesses understanding of Mathematics and ability to analyze; score is used by some institutes to screen the students for admission into its Ph.D programme.
3. JEST: The Common Test known as Joint Entrance Screening Test in basic sciences including mathematics; the qualifying marks for admission.
4. NBHM: Higher National Mathematics examination is in higher mathematics, and passing it awards candidates with a fellowship to pursue a PhD.
5. ISI Entrance Test: Currently the Indian Statistical Institute offers tests in Statistics, Mathematics and Quantitative Aptitude for student’s admission to the Ph.D programme.
| Subject | Important Topics |
|---|---|
| Advanced Mathematical Methods | - Linear Algebra (advanced topics) - Real and Complex Analysis (advanced topics) - Functional Analysis - Ordinary and Partial Differential Equations (advanced topics) |
| Numerical Analysis | - Numerical methods for solving algebraic equations - Numerical methods for differential equations - Numerical methods for optimization - Numerical linear algebra |
| Scientific Computing | - High-performance computing - Parallel and distributed computing - Programming languages for scientific computing - Numerical software packages |
| Applied Probability & Stochastic Processes | - Stochastic modeling - Markov chains - Queuing theory - Random processes and applications |
| Mathematical Optimization | - Linear programming - Nonlinear programming - Integer programming - Optimization theory and algorithms |
| Mathematical Modeling | - Techniques for mathematical modeling - Model analysis and simulation - Applications of mathematical models in various fields (e.g., finance, engineering, physics) |
| Research Methodology | - Scientific research design and methods - Data analysis and interpretation - Scientific writing and communication - Research ethics |
| Elective Courses (may vary) | - Computational Mathematics - Mathematical Finance - Inverse Problems - Wavelet Analysis - Mathematical Biology |
1. Sit for graduate record examination, achieve a high score in the quantitative reasoning and analytical writing assessments.
2. Seek out possible Ph.D. advisors based on their research themes and goals.
3. The documents that must be submitted and that are required include: Transcripts, Test scores, Letters of recommendations and personal statement.
4. The program admits students on the basis of academic performance and research abilities, the grades, examination results, experience in research and research potential.
5. Accept formal offer letter from university to pursue any program.
6. Agree to the offer, secure finances like a teaching or research assistant.
| College Name | Location |
|---|---|
| Indian Institute of Science (IISc) Bangalore | Bangalore |
| Indian Institutes of Technology (IITs) (various locations) | Delhi, Mumbai, Chennai, Kanpur, etc. |
| Indian Statistical Institute (ISI) | Kolkata, Delhi |
| National Institute of Science Education and Research (NISER) | Bhubaneswar |
| University of Delhi | Delhi |
| Indian Institute of Science Education and Research (IISER) Pune | Pune |
| Indian Institute of Science Education and Research (IISER) Mohali | Mohali |
| Indian Institute of Science Education and Research (IISER) Kolkata | Kolkata |
| Indian Institute of Science Education and Research (IISER) Thiruvananthapuram | Thiruvananthapuram |
| Banaras Hindu University (BHU) | Varanasi |
| Specialization | Job Titles | Average Annual Salary (India) |
|---|---|---|
| Computational Mathematics | - Scientific Computing Specialist - Financial Modeler (Quantitative) - High-Performance Computing Specialist | ₹ 8.0 - ₹ 14.0 LPA |
| Mathematical Finance | - Quantitative Analyst (Investment Banking) - Risk Analyst (Financial Institutions) - Algorithmic Trading Developer | ₹ 10.0 - ₹ 20.0 LPA |
| Optimization | - Operations Research Analyst - Supply Chain Analyst (with strong mathematical modeling skills) - Logistics Optimization Specialist | ₹ 7.0 - ₹ 12.0 LPA |
| Applied Probability & Stochastic Processes | - Data Scientist (with strong probability & statistics background) - Actuary - Risk Modeling Analyst (Insurance) | ₹ 8.0 - ₹ 15.0 LPA |
| Mathematical Physics | - Computational Physics Researcher - Mathematical Modeling Specialist (Physics) - Physics Simulations Developer | ₹ 6.5 - ₹ 10.0 LPA |