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Ph.D Applied Mathematics: Admission 2025, Syllabus, Eligibility, Fees, Colleges, Careers

Priyanshu Mishra's profile picture

Updated on Jul 24, 2025

Priyanshu Mishra

Ph.D in Applied Mathematics is a 3-year doctoral program that mainly focuses on using modern or latest mathematical methods to solve actual problems in science, engineering, technology, and industry. This doctoral program mixes theoretical mathematics with practical applications, enabling scholars to develop models, algorithms, and simulations that address complex issues across various fields.

 

The eligibility criteria for Ph.D in Applied Mathematics program the candidates must have passed with a Master’s Degree in Mathematics or related fields (like Statistics, Physics, or Engineering) with a minimum of 55% aggregate marks from a recognized university. Candidates also need to appear for some entrance examinations to get into a specific college or university. Some entrance examinations are the UGC NET, APRCET, etc.

 

The total course fees for the Ph.D in Applied Mathematics program depend on whether the college or university is a private or a government institution. Typically, the course fees for these programs range between INR 10,000-4,00,000. Some top colleges or universities that offer these programs are the Calcutta University, Delhi Technological University, Andhra University, etc.

 

Candidates who completed their Ph.D in Applied Mathematics programs can have a variety of job roles or opportunities available in India. Some job roles are Research Scientist, Data Scientist, Assistant Professor, Mathematical Modeler, Risk Analyst, etc. They can also get a high-paying salary, which typically ranges between INR 4-18 LPA or more, depending on their skills and knowledge.

 

Table of Contents

  1. Ph.D Applied Mathematics Key Highlights
  2. What is a Ph.D Applied Mathematics?
  3. Why Study a Ph.D Applied Mathematics?
  4. Who should study Ph.D Applied Mathematics?
  5. Ph.D Applied Mathematics Eligibility Criteria
  6. Ph.D Applied Mathematics Entrance Exams 2025
  7. Ph.D Applied Mathematics Colleges in India
  8. Ph.D Applied Mathematics Admission Process 2025
  9. Ph.D Applied Mathematics Syllabus
  10. Ph.D Applied Mathematics Job Opportunities in India
  11. Ph.D Applied Mathematics FAQs

 

Ph.D Applied Mathematics Key Highlights

The elements that follow are the primary characteristics for the Ph.D in Applied Mathematics:

Particulars

Details

Course Name

Ph.D Applied Mathematics

Course Level

Doctorate

Duration

3 years (6 semesters)

Course Type

Full-Time

Admission Process

Entrance-Based (UGC NET, APRCET, Merit-Based) + Counselling

Eligibility Criteria

Candidates must have passed with a Master’s Degree in Mathematics or related fields (like Statistics, Physics, or Engineering) with a minimum of 55% aggregate marks.

Course Fees

INR 10,000-4,00,000

Subjects

Advanced Linear Algebra, Real and Complex Analysis, Ordinary & Partial Differential Equations, Numerical Methods, Functional Analysis, Mathematical Modelling

Top Colleges

Calcutta University, Delhi Technological University, and Andhra University

Job Profiles

Research Scientist, Data Scientist, Assistant Professor, Mathematical Modeler, Risk Analyst

Top Recruiters

DRDO, ISRO, CSIR, BARC, TIFR, TCS, Infosys, Wipro, IBM, Accenture, Fractal Analytics, IITs, IISc, NITs, Central and State Universities, Siemens, Honeywell, GE Research, MathWorks, KPMG, Deloitte, PwC, Genpact, Morgan Stanley

Average Salary in India

INR 4-6 LPA (Freshers)

 

INR 6-10 LPA (Mid-Level)

 

INR 12-18 LPA (Experienced)

 

What is a Ph.D Applied Mathematics?

Ph.D in Applied Mathematics is a 3-year doctoral program that focuses on the development and application of mathematical methods to solve the complex problems in science, engineering, industry, and technology. This PhD program is mainly designed for students who have a strong mathematical basis and who want to study practical issues by using advanced mathematical modeling, numerical analysis, optimization, and computational tools. It combines theoretical knowledge with practical application to develop mathematical models that can be used in a variety of areas, including physics, biology, economics, and computer science.

 

During the Ph.D., students conduct independent studies under the guidance of a faculty member. Candidates who hold this degree are prepared for positions such as education, research institutes, government agencies, and private industry, where advanced mathematical skills are required.

 

Why Study a Ph.D Applied Mathematics?

Pursuing a Ph.D in Applied Mathematics program offers candidates to read completely challenging and toughest mathematical concepts and use them to solve practical issues in science, engineering, technology, and finance. There are several reasons why one should study this program, few are mentioned below:

  • Graduates are in great demand in a variety of industries, including finance, technology, and engineering, for positions that require data analysis, modeling, and problem-solving.
  • The doctoral degree offers a concentrated or focused study in topics such as computational mathematics, mathematical biology, and financial mathematics, resulting in focused career paths.
  • The complete training in mathematical modeling and problem solving prepares graduates with highly useful abilities that may be used in a number of different job settings.
  • Applied mathematics research can have a major effect on practical problems such as healthcare, climate change, and resource management.

 

Who should study Ph.D Applied Mathematics?

Ph.D in Applied Mathematics is suitable for those candidates who have a strong foundation in mathematics and are passionate about solving actual problems using mathematical modeling, computation, and analysis. It is also a well-suited program for those candidates who enjoy working on complex challenges in areas such as physics, engineering, computer science, finance, data science, or biological sciences. The various candidates who should study this program are provided below:

  • Candidates who are interested in mathematical concepts, enjoy solving complex problems, and want to learn more about the subject, pursuing a Ph.D. could be an enjoyable journey.
  • Applied mathematics usually involves the use of computational tools and techniques to model and analyze situations from everyday life. If you are comfortable with programming and numerical methods, this program can be a good fit.
  • A Ph.D. in Applied Mathematics can prepare you for advanced research roles in government, higher education, and industry.
  • Applied mathematics covers a wide range of applications, including physics, engineering, economics, and biology. A Ph.D. can lead to possibilities for interaction with scholars from different disciplines.

 

Ph.D Applied Mathematics Eligibility Criteria

The candidate must satisfy specific requirements if they want to be admitted to the Ph.D in Applied Mathematics in India. The eligibility requirements for a Ph.D in Applied Mathematics are provided below:

  • Candidates must have passed with a Master’s Degree in Mathematics or related fields (like Statistics, Physics, or Engineering) from a recognized university.
  • A minimum aggregate of 55% marks in their Master’s Degree from a recognized university.
  • Qualify for certain entrance examinations, such as the UGC NET, APRCET, or a specific university entrance examination.

Students with interest in PPhysics can also check Ph.D Applied Physics

 

Ph.D Applied Mathematics Entrance Exams 2025

To pursue a Ph.D in Applied Mathematics in India, a candidate must pass a variety of entrance exams at the national, state, and university levels. The results or rankings achieved on these tests determine admission to Indian schools and universities. Some of the most difficult entrance tests for a Ph.D in Applied Mathematics in India are listed below:

Exam Name

Application Date

 

(Tentative)

Exam Date

 

(Tentative)

Application Fee

UGC NET 2026

April-May 2026

June 2026

INR 1,150 (GEN)

 

INR 600 (OBC, EWS)

 

INR 325 (SC/ST, PwD)

APRCET 2026

April 2026

May 2026

INR 1,200 (GEN)

 

INR 1,000 (OBC)

 

INR 900 (SC/ST)

 

Ph.D Applied Mathematics Colleges in India

The admission criteria for the Ph.D in Applied Mathematics differ at each Indian college. The NIRF Ranking, the total cost of tuition, and the entrance exams required to get admission to some of the top Ph.D in Applied Mathematics programs in India are given below:

College Name

Location

Total Course Fees (Approx.)

NIRF Ranking

Intake Exams

Calcutta University

West Bengal

INR 18,000

26

UGC NET

Delhi Technological University

Delhi

INR 46,700

66

Merit-Based

Andhra University

Andhra Pradesh

INR 4,00,000

41

APRCET

 

Ph.D Applied Mathematics Admission Process 2025

All of the institutions offering the Ph.D in Applied Mathematics have basically the same admissions procedure. For reference, the admission process for enrolling in Ph.D in Applied Mathematics at Andhra University is given below:

 

Step 1. First of all, Candidates should visit the official website of Andhra University.

 

Step 2. Fill out the online application form, including personal, academic, and contact information.

 

Step 3. Upload all necessary documents, including mark sheets, certificates, a passport-size photo, and ID proof.

 

Step 4. Pay the application charge online.

 

Step 5. Candidates should appear for the APRCET entrance examinations.

 

Step 6. On the scheduled day, just go and sit for the APRCET exam.

 

Step 7. Candidates are shortlisted based on entrance test scores and go for a viva and interview round.

 

Step 8. Selected candidates are notified via the university website or registered email.

 

Step 9. Pay the course fees, and join the classes immediately.

 

Required Documents:

  • Master’s and Bachelor’s degree certificates
  • APRCET Entrance Test Scorecard
  • Migration Certificate
  • Research Proposal
  • Passport-size photos
  • Signature

Want to explore the field of chemistry? Check Ph.D Applied Chemistry

 

Ph.D Applied Mathematics Syllabus

In India, all of the colleges that offer the Ph.D in Applied Mathematics follow almost the same syllabus. Depending on the institute's syllabus may vary slightly. For reference, the syllabus for Ph.D in Applied Mathematics from the Andhra University is mentioned below:

Semester 1

Semester 2

Real Analysis

Complex Analysis

ODE &Integral Equations

PDE & Integral Transforms

Classical Mechanics

Statistics & Distribution Theory

Discrete Mathematical Structures

Elements of Elasticity and Fluid Dynamics

Programming in C

Numerical Analysis

Lab: Programming in C

Viva Voce

Semester 3

Semester 4

Measure Theory

Functional Analysis

Python Programming

Finite Automata &Formal Languages

Techniques of Applied Mathematics

Elective-I

Elective – I

Elective-II

Elective – II

MOOC COURSE

MOOC Course

Project Work

Intellectual Property Rights

Research Methodology

Lab: Python Programming

Viva Voce

 

Ph.D Applied Mathematics Job Opportunities in India

The following list contains some regular jobs obtained by a Ph.D in Applied Mathematics in India:

Job Title

Recruiters

Experience Level

Average Salary

Research Scientist

DRDO, ISRO, CSIR, BARC, TIFR

0-3 years

INR 6-10 LPA

Data Scientist

TCS, Infosys, Wipro, IBM, Accenture, Fractal Analytics

2-5 years

INR 8-10 LPA

Assistant Professor

IITs, IISc, NITs, Central and State Universities

0-3 years

INR 4-8 LPA

Mathematical Modeler

Siemens, Honeywell, GE Research, MathWorks

3-5 years

INR 8-12 LPA

Risk Analyst

KPMG, Deloitte, PwC, Genpact, Morgan Stanley

1-3 years

INR 7-12 LPA

Read more about PhD in Finance

 

Ph.D Applied Mathematics FAQs

Are scholarships or fellowships available in Ph.D in Applied Mathematics program?

Yes, fellowships are available in Ph.D in Applied Mathematics program, like UGC-NET JRF, CSIR, and institutional grants, are available. They also offer emergency funds and monthly salaries.

Can students work while pursuing this Ph.D in Applied Mathematics program?

Full-time scholars may face limitations on jobs outside of school.

Is it necessary to publish papers during the Ph.D in Applied Mathematics program?

Yes, publishing is reviewed by experienced journals is generally needed. It confirms the research and improves academic credentials. Many institutes require a minimum number of publications before submission.

What are the career options after this Ph.D in Applied Mathematics program?

Graduates can work in higher education, research labs, industry, or in data science firms. Data analyst, research scientist, lecturer, and quantitative analyst are some of the job roles available. Many individuals pursue postdoctoral research.

Are internships or practical training part of the Ph.D in Applied Mathematics program?

In this Ph.D in Applied Mathematics course, Internships are not mandatory but are highly advised. They provide an overview of applied research and industry challenges.

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