PhD in Applied Mathematics Course- Eligibility, Admission, Syllabus, Institutes, Scope

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 4,00,000–12,00,000, which typically rises with improved awareness and expertise in the field.

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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 Master’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.

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Relevant Links
Ph.D. (hindi)	Ph.D. (animal Nutrition)	Ph.D. (media Studies)
Ph.D. (english)	Ph.D. (economics)	Ph.D. (history)

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.

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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

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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.

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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.

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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)

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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

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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

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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 Master’s degree in relevant discipline from a recognized university.	Hold a Master’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 Salary Per 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.

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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 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 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 Salary Per 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

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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.

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