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Doctor of Philosophy (PhD) in Mathematics Admission, Top Colleges, Syllabus, Scope and Salary 2023

Doctor of Philosophy (PhD) in Mathematics Admission, Top Colleges, Syllabus, Scope and Salary 2023

Doctor of Philosophy (PhD) in Mathematics Admission, Top Colleges, Syllabus, Scope and Salary 2023

A Ph.D. in Mathematics is equivalent to a very advanced maths degree. You learn about shapes, numbers, and how things change while also attempting to figure out new things. When you finish, you must write a large document known as a 'thesis,' and then you will be awarded the special degree.

The programme requires at least three years and can take up to five or six years to complete. To participate, you must have a Master's degree in maths or science, or you can join if you have a different degree, such as engineering. Some places allow exceptionally bright candidates to join immediately after completing their Bachelor's degree. The programme combines study and research, and you must complete a large research report.

This programme is designed for people who are serious about becoming math experts. You learn new techniques to solve problems and gain a thorough understanding of maths. You can work on a wide range of maths issues, from the most abstract to the most practical. You will also learn how to teach and explain mathematics.

After completing the programme, you will be able to work in a variety of settings, including banks, enterprises, and colleges. Mathematician, statistician, banker, accountant, researcher, and more vocations are possible. The salary ranges from 3 to 9 lakhs depending on your knowledge and length of service.

PhD In Mathematics: Course Highlights

The following is a list of course highlights that candidates should consider before pursuing a PhD in Mathematics.

Course Level Doctorate Course
Full-Form Doctor of Philosophy in Mathematics
Duration 3 years
Examination Type Semester-based
Eligibility M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline with a minimum of 55% score
Admission process Merit-based / Entrance Examination
Course Fee INR 20,000 – 3 Lakhs per annum
Average Salary INR 3 – 9 Lakhs per annum
Top Recruiting Companies Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics (e.g. Ernst & Young, Tiger Analytics, TCS Innovation Lab, Weizmann Institute, etc.)
Job Positions Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc.

Ph.D. in Mathematics: What is it about?

Students who want to work in a mathematical research field should obtain a Ph.D. in mathematics.

  • This course takes at least two years to complete, but you have up to 3-5 years if you need extra time.
  • A PhD in mathematics is a full-time degree program.
  • Students in the Ph.D. Mathematics program learns about statistics in fields such as inspection, design, and quality assurance.
  • Students in the PhD in Mathematics program conduct research utilizing many methods of performing maths. They examine graphs, large intricate numbers, computer calculations, how things break into different courses, the likelihood of events occurring, and other factors.
  • Students in this course learn about how numbers are related, how normal things are, how likely certain things are to happen, how to choose a group to research, how to figure out relationships between numbers, and how to be certain about outcomes. The course also teaches students how to use arithmetic in real-world circumstances, such as working with numbers and shapes, solving problems, and dealing with difficult topics.

Why study PhD Mathematics?

If you want to work in a research environment, there are many options at research organisations and universities. There are good-paying teaching jobs available at private engineering colleges if you wish to be a teacher. Many large corporations and financial institutions hire Indian mathematicians for their research centres.

Let us now discuss why pursuing a PhD in Mathematics is a good choice.

  • This program keeps you up to date on fresh information and teaches you how to do research that is relevant to what our country needs right now.
  • You will learn how to create an effective research paper and how to present data using graphics.
  • You can pursue a career in accounting, business, banking, investment, insurance, government, or public administration after completing this program.
  • If you enjoy teaching, you can work in schools or colleges. To teach in a college, you must pass the NET test and fulfil the UGC standards.

List of Top 10 Phd In Mathematics Colleges

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23 March, 2023

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23 Jul, 2023

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23 March, 2023

A Better Alternative To Grading Student Writing

  • 9.00 AM
  • Dhaka, Bangladesh

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17 Apr, 2023

12 Things Successful Mompreneurs

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07 Oct, 2023

Ethics in Al Live Event Machines Judging.

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23 Jul, 2023

The Importance Of Intrinsic Motivation.

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23 Jul, 2023

The Importance Of Intrinsic Motivation.

  • 1.00 AM
  • Dhaka, Bangladesh

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23 Jul, 2023

The Importance Of Intrinsic Motivation.

  • 1.00 AM
  • Dhaka, Bangladesh

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Eligibility for Ph.D. in Mathematics

The following are the common Ph.D. (Mathematics) eligibility criteria for admission to a college providing this course:

  • You can apply if you have an M.Sc. or Master's degree in Math or Physical Sciences. 
  • You may also be eligible if you hold a B. Tech degree in any discipline, depending on the institute. 
  • Some institutes may also allow you to attend if you performed exceptionally well in your undergraduate studies. 
  • Keep in mind that each college has a minimum score requirement. In general, it is around 55%. If you are from the SC/ST group, 50% is also acceptable.

The eligibility criteria described above are the fundamental eligibility criteria. Each college will have its own set of criteria for evaluating prospective students.

How To Get Admission In PhD Mathematics

As a result, many schools and universities that teach extremely difficult maths, such as Ph.D. level maths, frequently allow applicants to attend if they performed well on previous university exams. However, certain places may have a unique test to assess how good you are. They admit candidates to their Ph.D. maths programmes in one of two ways: based on their previous university grades or through a particular test.

Merit-Based Admission:

So, when it comes to private universities like Lovely Professional and AMU, if students fared well in their previous master's or graduate studies, they usually allow them join their Ph.D. in Mathematics programmes. These colleges may also conduct a brief interview with the candidates or administer a short written test to learn more about them and their abilities.

Entrance Exam Based:

Large universities such as Chandigarh University, RKMVCC, and Stella Maris College provide unique programmes for people who desire to become math specialists. To gain admission, you must normally take a test containing multiple-choice questions regarding various arithmetic areas such as Algebra and Analysis.

They may contact those who performed well in interviews after they have finished marking the examinations. This allows them to determine whether the programme is a good fit for the individual and whether they have the necessary abilities. They may also examine some of the person's creations, such as art or projects, to gain a better understanding of who they are.

How to Prepare for the Mathematics Entrance Exam?

What you need to study for the entrance exams for a Ph.D. in Mathematics may fluctuate depending on the institute you're applying to. However, in general, these exams are designed to assess your maths knowledge and skills.

Let us now discuss the exam paper itself. It is broken into two sections.

  • Part I:There will be ten questions here. Six of these questions must be answered. This section will be worth 40 points.
  • Part II:There will also be ten questions, six of which must be answered. This section will be worth 60 points.

The following topics are often covered in the syllabus for Ph.D. Mathematics entrance exams:

  • Abstract Algebra
  • Complex Analysis
  • Elements of Numerical Analysis
  • Linear Algebra
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Real Analysis

It's a fantastic notion to purchase study and practise materials if you're preparing for Ph.D. Mathematics entrance exams. The exam is worth 100 points and you will have 3 hours to complete it. So gather those resources in order to properly prepare.

PhD in Mathematics Admission Process

If you want to get into the best Ph.D. programs for math, remember these things:

  • Most institutions begin accepting applications in January of each year, and classes typically begin in August.
  • To be admitted to these universities, you must often perform well on entrance examinations and then be interviewed.
  • If you wish to do a PhD at a good college, you should take the CSIR-NET and UGC-NET tests. Some colleges also take your GATE score into account.
  • For example, if you want to attend the Ph.D. In the mathematics program at ISI Kolkata, your GATE score will be considered. The NBHM Screening test is also used by several colleges to accept students and award scholarships.

PhD Mathematics Entrance Exams

Some colleges provide programmes leading to a PhD in Mathematics. Some colleges require you to take a particular test in order to get admitted to certain programmes. This test is worth 100 points and must be completed in 3 hours.

Here are several well-known tests for PhD programs in Mathematics.

  • CSIR-UGC NET for JRF Entrance Exam:The CSIR UGC NET is similar to a large test that the National Testing Agency (NTA) organises for the Council of Scientific and Industrial Research (CSIR). This test identifies individuals who may be eligible for a Junior Research Fellowship (JRF) or to teach at Indian universities and colleges.
  • UGC NET Entrance Exam:The UGC NET for JRF, also known as the National Eligibility exam or NTA-UGC-NET, is an exam that determines if you are eligible for a Junior Research Fellowship (JRF) or an Assistant Professor position at Indian universities and colleges.
  • NBHM Entrance Exam:The National Board for Higher Mathematics is like a group in India that organizes a big test for people who really like math. They want to help math grow, make new math places, and give money to people doing math research. This is for students who are studying a lot of math and also for those who have finished their studies and want to do even more advanced math.
  • A few private colleges, such as Chandigarh University and LPU, hold their own entrance exams for this subject.

    Entrance Exam Registration Date Exam Date
    CSIR UGC NET To be Announced To be Announced
    UGC NET To be Announced To be Announced
    ICAR AICE JRF/SRF To be Announced To be Announced
    IIT JAM September 7 – October 14, 2022 February 12, 2023
    VITMEE April 2022 June 2023
    NIPER PhD Entrance Exam To be Announced To be Announced

PhD in Mathematics Syllabus

So, when studying for a Ph.D. in Mathematics, the material you learn may differ depending on the college you attend. However, there are several fundamental classes that everyone must take. You can select these classes based on your interests.

The following are the typical subjects in the PhD. Mathematics programme:

1 Year 2 Year 3 Year
Algebra Differential Equation Mathematical Finance
Analysis Differential Geometry Mechanics
Calculus Discrete Mathematics Metric Space
Computational Techniques English Literature Number Theory
Computer Science Linear Programming Probability Theory

PhD Mathematics: Books

Check out these Ph.D. Mathematics books to help you better grasp your course. These books will also help you pass your Ph.D. Mathematics exams. Take a look at the following list:

Name of the Book Author
Calculus for Scientists and Engineers K.D. Joshi
Foundations of Discrete Mathematics K.D. Joshi
Introduction to Measure and Integration Inder K Rana
Fundamental Complex Analysis of One variable Anant R Shastri
Ordinary Differential Equations Mohan C Joshi

Ph.D. in Mathematics: Job Prospects and Career Options

Many students in India choose to pursue a Ph.D. in Mathematics, which is a high-level study of numbers and shapes. After completing this unique study, you will be able to find decent jobs in India and other countries.

  • People with PhD degrees in math can work in different math areas like Numbers, Computer Analysis, Math in Biology, Complex Patterns, Systems, Moving Things, Fluid Movement, and more.
  • If you're good with customers and know a bit about business, you can work at banks, whether they're private or government ones.
  • You can also find jobs in places like studying markets, helping with money at companies, working in banks, planning budgets, giving advice, and working at big companies.
  • Some of the top companies where these experts can get jobs are Aquis, Airtel , ITC Infotech, IBM Global Services, ABC Consultants, NEXT Techno Enterprises, and Brainfuse.

The table below depicts some of the most prevalent Ph.D. Mathematics job descriptions and career opportunities after completing the course:

Job profile Job Description Average Annual Salary
Cashier Cashiers are responsible for selecting the right product and also consider becoming retail sales workers. They may also set up store displays and perform cashier duties. The training is generally offered by the employer. INR 3 Lakhs
Insurance Manager Insurance Managers are responsible for researching which helps them forecast how likely it is for certain risk events to occur and how these events will impact their company with a potential loss. INR 6 Lakhs
Finance Manager Finance Managers are responsible for monitoring accounts, reviewing financial reports, maintaining reports, and preparing activity reports and financial forecasts. They also examine the ways to raise profitability and analyze markets for business opportunities. INR 8 Lakhs
Accountant These professionals are responsible for performing administrative duties such as the production of forms and maintaining schedules. They prepare financial statements and tax returns, and accounting firms represent clients on matters pertaining to their financial affairs. INR 3.5 Lakhs
Loan Counselor Loan counsellors are responsible for working with a financial institution, they process a client's application materials, verify the information, and work with the client to come up with a financial plan. INR 4 Lakhs
Professor/ Asst. Professor They are much needed to provide basic education to the students who are interested in studying art at doctoral level programs. INR 5 Lakhs

PhD in Mathematics Scope

Mathematicians with a Ph.D. are playing an important role in education. According to UGC regulations, one of the Head of Department positions is allocated exclusively for persons having a Ph.D.

  • More math experts are likely to find work in India because there is a high need for their skills in private companies that work with data.
  • These private-sector enterprises pay well and have high growth prospects. Math specialists can earn considerably more if they learn additional abilities such as computer programming and statistics.