PhD Applied Mathematics Eligibility, Colleges, Admission, Entrance Exams, Syllabus, Jobs, Salary 2023

The PhD Applied Mathematics program is basically intended for students who tend to possess outstanding computational and mathematical modelling ability. The 3 - 5-year full-time doctorate course develops important competencies in Mathematics. 

Check Top PhD Applied Mathematics Colleges in India here. 

It involves research that uses various mathematical methods which are related to graph theory, stability theory, partial differential equations etc. This program is an advanced degree specialised for the aspirants who wish to pursue a career which involves applied mathematics research. 

The programme provides an in-depth knowledge of mathematical understanding depending on the area of expertise. 

In order to be eligible for the course, the aspirants must hold a master's degree or an equivalent degree from a recognised college or university. However, the admission process varies in different colleges.

Admission to this course will be done either on the basis of the candidate's performance in the entrance exam or on the basis of their performance in the qualifying examination. PhD Applied Mathematics degree holders are hired in a wide range of fields as a Mathematician, Statistician, Loan Officer, Accountant, Economist, Demographer, Researcher, Personal Banker, Cryptographer, Demographer etc. 

They are recruited in firms such as Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics etc. 

The average annual tuition fee charged for this course in India ranges between INR 10,000 and INR 3,00,000. In India, the average annual salary that a PhD Applied Mathematics degree holder can get ranges between INR 4,00,000 and INR 12,00,000. 

If students wish to do further research, they can become independent researchers and publish their research papers. They can also earn a DSc (Doctor of Science) degree in the related domain in future. Also check top DSc Colleges in India here.

PhD Applied Mathematics Course Highlights

Highlights for PhD Applied Mathematics program are provided in the table given below: 

Course Level Doctorate
Full-Form PhD in Applied Mathematics
Duration 3 - 5 years
Examination Type Semester Based
Eligibility Criteria Hold a Master’s degree in relevant discipline from a recognized university. 
Admission Process Entrance/ Merit-Based
Average Annual Fees INR 10,000 - 3,00,000
Average Salary INR 4,00,000 - 12,00,000
Top Recruiters Banks, Colleges, Universities, Research firms
Job Positions Mathematician, Accountant, Economist, Researcher etc.

PhD Applied Mathematics: What is it about?

Information and details about the PhD Applied Mathematics program are as follows.

About Course

  • It is primarily a research degree which is not at all a result of course work. The doctoral degree in Applied Mathematics involves various researches that are based on the different methods of mathematical types linked to probability and statistics, stochastic processes, stability theory, bifurcation theory, etc.
  • In this course duration, students are taught about the concepts of engineering design as well as inspection and quality assurance. 
  • The course covers some of the major topics that are probability, regression, correlation and much more. 
  • The program is designed in such a manner that it provides enriched knowledge of concepts like probability, trigonometry, quadratic equations, word problems etc. 
  • The course provides an opportunity for the postgraduates to perform research across various fields of applied mathematics. 
  • The specialisation of the course includes Combinatorics, Computational Neuroscience, Probability, Statistics etc. It involves research that uses various mathematical methods which are related to graph theory, stability theory, partial differential equations etc.
  • This course is an advanced degree specialised for the aspirants who wish to pursue a career which involves Applied Mathematics research. 

Why study PhD Applied Mathematics?

The goal to attain a PhD in Applied Mathematics degree will depend on each individual’s aspirations and goals. Some of the reasons to pursue this course are as follows.

  • It provides the students with a specialized knowledge in the field of applied mathematics that deals with the research of mathematics and various aspects of the same field.
  • It provides in-depth knowledge to the students with a practical as well as theoretical knowledge of the field of study.
  • The doctorates of the course are opened up to a wide and fully equipped career with an average salary ranging between INR 4,00,000 - 12,00,000 which usually tends to rise with increased knowledge and expertise in the field. 
  • The knowledgeable training provided to the student opens them up to the various career prospects to choose from after receiving the doctorate degree and the employment areas include banks, civil services, research firms etc.
  • This course prepares the students so well that it helps them to build themselves up as knowledgeable researchers and scientists in the field of Applied Mathematics.

What is the PhD Applied Mathematics Admission Process?

Most colleges and institutes offering PhD Applied Mathematics courses admit students based on their performance in the Master’s degree examination. However, there are some colleges which do conduct entrance examinations to judge a candidate’s abilities and skill sets.

Admission Process

The following are the two major pathways through which a PhD Applied Mathematics admissions take place:

Merit-Based Admission

Most private colleges that offer PhD Applied Mathematics courses usually admit students based on the marks secured at the master’s/ graduate degree. Besides that, these colleges may conduct a Personal Interview or a Written Test to further know the candidate’s skills.

Entrance-Based Admission

Most of the colleges and universities offer admission to PhD Applied Mathematics on the basis of entrance exams like CSIR NET, UGC NET etc.

The step-by-step procedure for entrance-based admission is as follows.

  • Step 1: Students have to register on the official website. 
  • Step 2: Fill the application form with correct details.
  • Step 3: After examination, a cutoff list will be released on the website. Seats will then be allotted to candidates based on their scores in the entrance exam. 
  • Step 4: Some colleges also conduct personal interviews and group discussion for admission to this course. 
  • Step 5: On meeting all the eligibility criteria, a student will then be offered admission to the course.  

What is the PhD Applied Mathematics Eligibility Criteria?

Being eligible for the course is a prerequisite for admission to the desired college. The basic eligibility criteria for admissions to PhD Applied Mathematics courses have been listed below:

  • Candidates must possess a masters degree in applied mathematics or any other equivalent degree from a recognised college or university. 
  • The candidates should have obtained a certain minimum percentage of marks in their graduation.
  • The candidates are required to clear the cut-off marks set up for the entrance exams. Please note that the cutoffs tend to vary each year depending upon several factors.
  • The candidates must also perform well in the personal interview session which is organised to test the knowledge of the aspiring candidates about the course.

Which are the popular PhD Applied Mathematics Entrance Exams?

There are many national and state-level entrance exams to appear for the admission into PhD Applied Mathematics program. Listed below are some of these popular PhD Applied Mathematics entrance exams.

Entrance Exam Registration Date Exam Date
CSIR UGC NET 2nd week of March – 2nd week of April 2023 3rd week of June 2023
UGC NET December 29, 2022 – January 23, 2023 February 21, 2023 – March 10, 2023
ICAR AICE JRF/SRF To be Announced To be Announced

How to Prepare for a PhD Applied Mathematics Entrance Exams?

If a candidate wishes to clear the cut-off marks set up for the entrance examinations, they must be prepared well enough to achieve such a success. Few basic important tips for the exam have been mentioned below:

  • Students must be aware of the latest exam pattern if they wish to clear the entrance exam with good grades.
  • Go through the syllabus of the examination which is usually available on the official websites for the reference of the students.
  • If the questions are asked in the MCQ pattern, prepare yourself beforehand to answer such questions. Try and avoid guesswork as much as possible especially if there is negative marking.
  • Newspaper reading should be your daily habit so that you stay updated about current affairs which is usually helpful in the written as well as the practicals.
  • Students are advised to practice mock tests so that they will get an insight into the exam pattern and type.
  • Last but not the least, revise the already studied topics continuously and do not go for new topics a day before the exam as it might create confusion for you.

How to get admission to a good PhD Applied Mathematics College?

To get admission in the top PhD Applied Mathematics college, students must keep the following points in mind:

  • Candidates are shortlisted by the college through respective entrance exams followed by an interview.
  • To get a good college for PhD Applied Mathematics, appearing for the UGC NET or GATE is the best way and for some of the colleges’ UGC NET is also considered good to approach.
  • A few private institutes are there offering the course to admit students based on their performance in a relevant entrance test followed by a round of Group Discussion and Personal Interview.
  • Getting into a good college for the admission in PhD Applied Mathematics program, candidates need to score well in the respective entrance exams.
  • Candidates should put their time and effort into the entrance test as well as be prepared for a personal interview round.
  • They should be well versed with their research topic so that they can impress the interview panel with their research idea.

Which are the top PhD Applied Mathematics Colleges?

The table below shows the best PhD Applied Mathematics colleges and universities that offer the course in a full-time mode.

NIRF Ranking  Name of College Admission Process Average Annual Fees Average Annual Salary
1 IITM, Chennai Entrance-Based INR 19,670 INR 9,45,000
14 MAHE, Manipal Merit-Based INR 59,000 INR 7,00,000
15 University of Hyderabad, Hyderabad Entrance-Based INR 11,210 INR 7,62,000
31 AMU, Aligarh Entrance-Based INR 9,285 INR 8,00,000
38 SOA, Bhubaneswar Merit-Based INR 25,000 INR 6,00,000
62 DTU, New Delhi Merit-Based INR 25,000 INR 10,25,000
71 MNIT, Jaipur Merit-Based INR 70,300 INR 6,54,000
101 GITAM, Visakhapatnam Entrance-Based INR 73,200 INR 9,78,000
151 Devi Ahilya Vishwavidyalaya, Indore Entrance-Based INR 73,600 INR 8,76,000
151 Amity University, Gwalior Entrance-Based INR 60,000 INR 10,24,000
College Comparison

Source: College Websites

PhD Applied Mathematics College Comparison

The tabulation below depicts the comparison made among the three top PhD Applied Mathematics colleges in India.

Comparison Parameters IITM, Chennai MAHE, Manipal University of Hyderabad
Overview IIT Madras is ranked 1st in the Engineering category by NIRF Ranking 2019. This deemed institute conducts various specializations under the undergraduate, postgraduate and doctoral programs. MAHE was established in 1953. It offers various UG, PG and Research courses like BTech, MCA, MD, B Arch and many more in the fields of medical, architecture, dentistry, engineering, hospitality, management etc.  Hyderabad University offers postgraduate and doctorate level courses across different streams of engineering, management, science and technology etc.
Location Chennai Manipal Hyderabad
NIRF Ranking  1 14 15
Eligibility Criteria Hold a Master’s degree in relevant discipline from a recognized university. Hold a Master’s degree in relevant discipline from a recognized university. Hold a Master’s degree in relevant discipline from a recognized university.
Admission Process Entrance-Based Entrance-Based Entrance-Based
Average Fees INR 19,670 INR 59,000 INR 11,200
Top Recruiters Amazon, Google, Uniqlo    etc.      Landmark Group, Codenation, Facebook etc.      Google, Facebook, Amazon, Flipkart etc. 
Average Salary INR 9,45,000 INR 7,00,000 INR 7,62,000
Salary and Fees Comparison

Source: College Websites

What is the Syllabus of PhD Applied Mathematics?

Although the PhD Applied Mathematics syllabus varies from college to college.  The subjects included in the course curriculum are distributed all over the 3 -5 Years course programme.

The common subjects that are included in the structured PhD Applied Mathematics syllabus are provided in the table given below: 

YEAR I YEAR II YEAR III
Algebra Differential Equation Mathematical Finance
Analysis Differential Geometry Mechanics
Calculus Discrete Mathematics Metric Space
Commerce Economics Number Theory
Computer Science English Literature Probability Theory
Computational Techniques Linear Programming Statistics

Which books to study for PhD Applied Mathematics?

Tabulated below are some of the PhD Applied Mathematics subject books that can help students to have a broader and better understanding of the course: 

Name of the Book Name of the Author
X and the City: Modelling Aspects of Urban Life John A. Adam
The Princeton Companion to Applied Mathematics Nick Higham
In pursuit of the travelling salesman: Mathematics at the Limits of Computation William J. Cook
50 Visions of Mathematics Sam Parc
In pursuit of the Unknown: 17 Equations that Changed the World Ian Stewart

PhD Applied Mathematics vs. PhD Mathematics

Just like PhD Applied Mathematics, PhD in Mathematics is a research course. Both of these courses are similar. However there is a minute difference between these two programs. Also check top PhD Mathematics Colleges here.

Check the table below for more comparative details:

Parameters PhD Applied Mathematics PhD Mathematics
Overview A doctoral degree of 3 - 5 years in the field of Applied Mathematics that deals with the various methods of mathematics and other aspects of the same field. The PhD programme in Mathematics is a study of space, quantity and seeks out various patterns and structures.
Eligibility Criteria Hold a Master’s degree in relevant discipline from a recognized university.  Hold a Master’s degree in relevant discipline from a recognized university. 
Exam Type Semester Semester/ Annual
Admission Process Entrance/ Merit-Based Entrance/ Merit-Based
Average Fees INR 10,000 - 3,00,000 INR 20,000 - 4,00,000
Job Positions Mathematicians, Statisticians, Researchers etc. Demographer, Professor, Personal Banker etc.
Average Salary INR 4,00,000 - 12,00,000 INR 3,00,000 - 10,00,000
Top Recruiting Areas Colleges, Universities, Research firms etc. Inventory management, Insurance agencies, commerce industry etc.

Average Annual Fees
Annual Salary

Source: College Websites

What are Job Prospects and Career Options after a PhD Applied Mathematics?

  • PhD Applied Mathematics degree holders are provided with a wide range of job opportunities in areas like Biomathematics Group, Fluid Dynamics, Mathematical Physics, etc.
  • Candidates who aspire to continue with their studies might opt for Post Doctoral Education in the field of Applied Mathematics. 
  • There are many lucrative job positions in India as well as in Abroad countries for the graduates and doctorates of mathematical fields. They can seek employment opportunities in areas like banks (private as well as governmental), budget planning, corporations, etc. 
  • The professionals may also apply for jobs in other countries in areas like banks, colleges, universities etc. However, in order to apply for jobs at senior positions they must acquire certain specialisations as per the needs of the job. They may even choose to be a mathematician, statistician, accountant, economist etc.  
  • On completion of the course, the students may tend to look for job opportunities in government as well as private sectors. 
  • The students can also opt for the Post Doctoral Degrees if they desire to enhance their educational background.
Job Profile Description of the Job Average Annual Salary
Insurance Manager They are responsible for researching the working of a firm, which helps them to identify the risks that might appear and may have an impact on the firms.  INR 7,52,000
Accountant Their work includes performing the administrative duties such as maintaining the production of the firms. The accounts prepare tax returns and financial statements for the firms to refer to which helps them with their further working. INR 3,58,000
Finance Manager Their work involves the reviewing of financial reports as well as activity reports etc.  INR 8,78,000
Cashier They are responsible for accepting payments and issuing receipts for the same. They must have a knowledge of maintaining the cash registers. INR 4,42,000

Salary vs Job Profiles

Source: College Websites

What are the Future Scopes of PhD Applied Mathematics?

PhD degree is a doctorate level degree and is the highest educational degree one can earn in the country. Generally one does not pursue further studies after completing a PhD Applied Mathematics degree. 

Employability is high and graduates are hired quickly upon completion of their degree in high pay job profiles. With this knowledge, there is no limit to learning and knowledge.

  • After completing this course, students can opt for teaching jobs in colleges/universities and then clear the UGC-NET exam required to become a permanent lecturer.
  • Students can also opt for jobs in Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics etc.
  • Students can also opt for a DSc (Doctor of Science) degree in any related field. 
  • Once you finish your PhD you can also be qualified for a lecturer post in Applied Mathematics and also to teach in colleges and universities with UGC scales.

PhD Applied Mathematics FAQs

Some of the most frequently asked questions pertaining to the PhD Applied Mathematics program are as follows: 

Ques. What is the admission process for getting into PhD Applied Mathematics?

Ans. The admission process is either entrance or merit based depending on the college. However, a detailed information has been given in the article.

Ques. What does PhD Applied Mathematics comprise of ?

Ans. It involves an in depth study of the mathematical issues faced in various areas and the development of new methods to meet these challenges.

Ques. Is a degree in Applied mathematics worth it?

Ans. The subject provides you a deep understanding of modeling and mathematical thinking which is helpful in many areas of career theron.

Ques. What are the branches of Applied Mathematics?

Ans. The various branches of applied mathematics include Computational Biology,Theoretical Physics, Discrete Mathematics, Differential Equations etc. 

Ques. What are some areas of research in Applied Mathematics?

Ans. Research in the fields of Combinatorics, Probability and Statistics is among the famous researches performed under the subject.

Ques. What is the difference between Pure mathematics and Applied Mathematics?

Ans. The difference between the two subjects is that pure mathematics involves the introduction of new proofs based upon the prior proofs whereas applied mathematics involves the application of mathematical methods to other areas such as Engineering, Physics etc.

Ques. What can a student do after PhD Applied Mathematics?

Ans. With a degree of PhD Applied Mathematics, one can have several options like teaching, research works, accountants at reputed firms etc.

Ques. Is distance education available for the subject?

Ans. Yes, the various colleges have made distance learning methods possible for the course. The names of these colleges have been mentioned above.

Ques. What is the average salary offered to candidates with a PhD degree in Applied Mathematics?

Ans. The basic salary usually ranges between INR 4,00,000 to 12,00,000 depending on the nature of the job.

Ques. What are the minimum requirements for being eligible to the course? 

Ans. This is the basic criteria mentioned below. However, the admissions to the course has many more requirements which have been listed in the above article under a separate column for eligibility.

  • Candidates must possess a masters degree in applied mathematics or any other equivalent degree from a recognised college or university. 

  • The candidates should have obtained a certain minimum percentage of marks in their graduation.

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