A PhD in Applied Mathematics is a three-to five-year doctoral program in applied mathematics. The degree program is divided into six six-month semesters. Various colleges and universities in India offer this course. Candidates can pursue careers in a variety of fields after completing this course. It entails research that employs a variety of mathematical methods, such as graph theory, stability theory, partial differential equations, and so on. This is a master’s degree program designed for people who want to work in the medical field.

The course’s doctorates open the door to a diverse and well-equipped career with an average income of INR 4,00,000â€“12,00,000, which typically rises with improved awareness and expertise in the field.

Table of Contents

## PhD Mathematics: An Overview

Level of Course | Doctorate |

Also referred to as | PhD in Applied Mathematics |

Duration of course | 3 – 5 years |

Type of Examination | Semester Based |

Criteria for Eligibility | Hold a Masterâ€™s degree in relevant discipline from a recognized university. |

Process of Admission | Entrance/ Merit-Based |

Average Fees | INR 10,000 – 3,00,000 |

Average Pay | INR 4,00,000 – 12,00,000 |

Top Employers | Banks, Colleges, Universities, Research firms |

Job Profiles | Mathematician, Accountant, Economist, Researcher etc. |

## PhD Applied Mathematics Eligibility

- A master’s degree in applied mathematics or an equivalent degree from a recognised college or university is required.
- Candidates must have received a required percentage in their graduation to be considered.
- Candidates must achieve the cut-off marks established for the entrance examinations. Please keep in mind that the cutoffs change each year based on a variety of factors.
- Candidates should also perform well in a personal interview session, which is held to assess aspiring candidates’ knowledge of the course.

## PhD Applied Mathematics Syllabus

First Year | Second Year | Third Year |
---|---|---|

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 |

## PhD Applied Mathematics Admission

### Based on Entrance Examination

CSIR NET, UGC NET, and other entrance exams are used by most colleges and universities to admit students to PhD programmes in applied mathematics.

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

- The first step is for students to register on the official website.
- Complete the application form with accurate information. Following the examination, the website will post a cutoff list. Candidates will then be assigned seats based on their entrance exam scores.
- For admission to this course, some colleges conduct personal interviews and group discussions.
- If a student meets all of the eligibility requirements, he or she will be offered admission to the course.

### Based on Merit

The majority of private colleges that offer PhD in Applied Mathematics programs admit students based on their master’s or graduate degree grades. These colleges may also conduct a personal interview or a written test to learn more about the candidate’s abilities.

## PhD Applied Mathematics Preparation

- If students want to pass the entrance admission test with good grades, they must be aware of the most recent exam pattern.
- Examine the examination syllabus, which is usually available on various websites for students’ reference.
- If the questions are in the MCQ format, prepare yourself ahead of time to answer them. If there is negative marking, try to avoid guessing as much as possible.
- Journal reading should be a daily habit to keep you informed about current events, which is useful in both written and practical exams.
- Students should practice mock tests to gain an understanding of the sample papers and format.
- The college selects candidates based on their performance on the respective entrance exams, which are followed by an interview.
- The best way to get into a good PhD Applied Mathematics college is to take the UGC NET or GATE, and for some colleges, the UGC NET is also a good way to go.
- There are a few private institutes that offer the course, which allows students to be admitted based on their performance in a relevant entrance exam, followed by a round of Group Discussion and Personal Interview.
- Candidates must perform well on the respective entrance exams in order to gain admission to a good college for a PhD Applied Mathematics programme.
- Candidates should devote time and effort to the entrance exam and be prepared for a personal interview.
- They should be well-versed in their research topic so that their research idea can impress the interview panel.

## Important Documents Required for Admission

- Certificate of Migration
- Certificate of passing/degree of the most recent qualifying degree examination
- The following is a list of the results of the most recent qualifying degree examination.
- Character certificate (as from director of the Institute where the student received his qualifying degree).
- Proof of date of birth in the form of a document
- Certificate of Gap (if applicable)
- A letter from the employer stating that there are no objections to the research proposal (if employed)

## PhD Applied Mathematics: Important Book Recommendations

Book | 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 in Applied Mathematics: Top Institutes Ranked by NIRF

Ranking by NIRF 2020 | Institute | Process of Admission | Average Fees (Annually) | Average Salary (Per Annum) |
---|---|---|---|---|

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 |

## PhD Mathematics and Applied Mathematics: Key Differences

Basis of Comparison | PhD Applied Mathematics | PhD Mathematics |
---|---|---|

Highlight | 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 | Hold a Masterâ€™s degree in relevant discipline from a recognized university. | Hold a Masterâ€™s degree in relevant discipline from a recognized university. |

Type of Examination | Semester | Semester/ Annual |

Process of Admission | Entrance/ Merit-Based | Entrance/ Merit-Based |

Average Fees(Annually) | INR 10,000 – 3,00,000 | INR 20,000 – 4,00,000 |

Positions of Job | Mathematicians, Statisticians, Researchers etc. | Demographer, Professor, Personal Banker etc. |

Average SalaryPer Annum | INR 4,00,000 – 12,00,000 | INR 3,00,000 – 10,00,000 |

Top Employment Areas | Colleges, Universities, Research firms etc. | Inventory management, Insurance agencies, commerce industry etc. |

## PhD in Applied Mathematics: A Comparison among Top Institutes

Basis of Comparison | IITM, Chennai | MAHE, Manipal | University of Hyderabad |
---|---|---|---|

Highlight | NIRF Ranking 2019 places IIT Madras first in the Engineering category. This deemed institute offers undergraduate, postgraduate, and doctoral programs in a variety of specializations. | MAHE was founded in 1953. It offers BTech, MCA, MD, B Arch, and other UG, PG, and research courses in the fields of medicine, architecture, dentistry, engineering, hospitality, and management, among others. | Hyderabad University offers master’s degree and doctoral programs in engineering, management, science, and technology, among other fields. |

Place | Chennai | Manipal | Hyderabad |

Ranking by NIRF 2020 | 1 | 14 | 15 |

Eligibility | Hold a Masterâ€™s degree in relevant discipline from a recognized university. | Hold a Masterâ€™s degree in relevant discipline from a recognized university. | Hold a Masterâ€™s degree in relevant discipline from a recognized university. |

Admission Process of Admission | Entrance-Based | Entrance-Based | Entrance-Based |

Average Annual Fees | INR 19,670 | INR 59,000 | INR 11,200 |

Top Recruitments Areas | Amazon, Google, Uniqlo etc. | Landmark Group, Codenation, Facebook etc. | Google, Facebook, Amazon, Flipkart etc. |

Average SalaryPer Annum | INR 9,45,000 | INR 7,00,000 | INR 7,62,000 |

## PhD Applied Mathematics: Important Job Profiles

Following the completion of the course, students may seek employment in both the public and private sectors.

If students want to expand their educational background, they can pursue Post Doctoral Degrees.

### Some Top Job Profiles in this field are discussed below:

- Statistician
- Accountant
- Mathematician
- Loan Officer
- Demographer
- Analyst
- Cryptographer
- Demographer
- Researcher
- Personal Banker
- Analytical Manager
- Economist

Profile of Job | Job Description | Average Salary Per Annum |
---|---|---|

Insurance Manager | They are in charge of researching a company’s operations in order to identify risks that may arise and have an effect on the company. | INR 7,52,000 |

Accountant | Their responsibilities include administrative tasks such as trying to maintain the firm’s production. Cash budget tax returns and bank disclosures for businesses to use as a reference in their day-to-day operations. | INR 3,58,000 |

Finance Manager | Their job entails reviewing financial and activity reports, among other things. | INR 8,78,000 |

Cashier | Accepting payments and issuing receipts are their responsibilities. They must know how to keep the cash registers in working order. | INR 4,42,000 |

## PhD in Applied Mathematics: Benefits and Scope

- Mathematician, Statistician, Loan Officer, Accountant, Economist, Demographer, Researcher, Personal Banker, Cryptographer, Demographer, and other. PhD Applied Mathematics degree holders are employed in a variety of fields.
- The program is structured in such a way that it provides a thorough understanding of concepts such as probability, trigonometry, quadratic equations, and word problems, among others.
- The course gives postgraduates the opportunity to conduct research in a variety of applied mathematics fields.
- Combinatorics, Computational Neuroscience, Probability, Statistics, and other specializations are included in the course. It entails research that employs a variety of mathematical methods, including graph theory, stability theory, partial differential equations, and so on.
- It gives students specialized knowledge in the field of applied mathematics, which is concerned with mathematical research and various aspects of the same field.
- It provides students with in-depth knowledge of the field of study, including both practical and theoretical knowledge.
- After receiving a doctorate degree, the student’s knowledgeable training opens them up to a variety of career opportunities, including banks, civil services, and research firms, among others.
- This course provides excellent preparation for students to become knowledgeable researchers and scientists in the field of Applied Mathematics.

## FAQs

**Is it possible to pursue a PhD in applied mathematics?**

The PhD programme in Applied Mathematics is primarily designed for students who have exceptional computational and mathematical modelling abilities. The full-time doctoral programme lasts 3 to 5 years and develops important mathematical skills.

**What should I do to prepare for a PhD in applied mathematics?**

Preparing for a Course: Take advanced courses and excel at them.

Research: Looking for opportunities to participate in research

Extracurricular activities: Look for opportunities to broaden your horizons beyond the typical undergraduate curriculum.

Consult with your professors: Talk to other people who have taken the academic path to see if it is right for you

**What are the topics covered in a PhD in mathematics?**

Algebra, Calculus, Discrete Mathematics, Differential Equations, Computational Techniques, Differential Geometry, and other subjects are taught in PhD Mathematics.

**What are the most importantÂ areas of applied mathematics research?**

Among the well-known research conducted on the subject are those in the fields of combinatorics, probability, and statistics.

**Is an applied mathematics degree worthwhile?**

The subject will give you a thorough understanding of modelling and mathematical reasoning, which will be useful in a variety of career fields.

**What is the distinction between pure math and applied math?**

The distinction between the two subjects is that pure mathematics entails the creation of new proofs based on previous proofs, whereas applied mathematics entails the application of mathematical methods to other fields such as engineering, physics, and so on.

**What is the average annual salary for candidates who hold a PhD in Applied Mathematics?**

Depending on the requirements of the profession, the basic salary ranges from INR 4,00,000 to INR 12,00,000.

**What can a PhD in Applied Mathematics student do?**

With a PhD in Applied Mathematics, one can pursue a variety of careers, including teaching, research, and working as an accountant for reputable firms.

**What does a PhD in Applied Mathematics entail?**

It entails a thorough examination of the mathematical problems that arise in various fields, as well as the development of techniques to address these issues.

**What are the different types of applied mathematics?**

Computational Biology, Theoretical Particle Physics, Discrete Mathematics, Differential Equations, and other branches of applied mathematics are examples.