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What are the different fields of mathematics?

The different fields of mathematics are as follows-

  • Algebra
  • Calculus
  • Geometry and topology
  • Combinatory
  • Trigonometry
  • Logic
  • Number Theory
  • Dynamical Systems & Differential Equations
  • Mathematical Physics

Areas of Applied Math

  • Probability and statistics
  • Computational Sciences
  • Numerical Analysis
  • Computer Algebra
  • Physical sciences
  • Mechanics
  • Mechanics of Structures
  • Mechanics of Deformable Solids
  • Fluid Mechanics
  • Particle Mechanics
  • Operations Research
  • Mathematical Programming

What are the applications of mathematics?

Calculus: An architect makes use of calculus to figure out the materials required to construct curved structures like domes and arches. Electrical engineers make use of calculus to calculate the length of power cables between places which are miles apart. Biologists also require to calculate the rate of growth in microbes on a microbial plate.

Statistics: Population census is one of the most significant applications of statistics. To get the demographics of sample size, statistics usually play an important role with its various functions, like determining the average and mean estimates.

Algebra; The study of DNA and genes can be explained entirely with respect to equations. The properties can be easily deduced with the help of x and y chromosomes. In economics domain, x and y are used to manage the supply and demand of goods. In the field of computer graphics (CG), x and y are usually used as coordinates to design objects and their movements. For example, the famous game Mario was designed using 3D animation on computer graphics.

Trigonometry: Trigonometric angles are used in the construction of marine ramps. They are ideally used to detect a location for navigation. The concepts of trigonometry are also used to define the depth of algae underwater and sonar systems.

Probability: Probability usually talks about the chances of a particular occurrence of any event. The accurate calculations can be used in determining big \like the probability of you winning a jackpot!

Logarithms: Log tables help you to refer the similar numbers and make calculations less difficult. It is extensively used in computing memory spaces and in computer languages.

Matrix: Matrix is an array of elements catered to specific needs. In robotic systems, the concepts of matrices are used to control the movement of robots. Concepts of computing systems like data structures and databases make use of this concept for an organized algorithm.

Mensuration: Mensuration is all about measurement of different units. From buying groceries to checking your weight, we make use of concepts in mensuration daily. From figuring out the body temperature with the help of a thermometer to figuring out the weather condition, mensuration plays an integral role.

Mathematics lays the foundation for managing finances at your home. The basic concepts in any algorithm date back to core mathematical functions. Even managing your body mass index, predicting the weather to build bridges- mathematics is there in every aspect of our daily lives. Some of the primary areas of application include –

  • Public transportation
  • Health and fitness
  • Computer systems
  • Finance and banking
  • Home improvement
  • Space observation
  • Big Data
  • Pharmacy
  • Cooking and baking
  • Image compression
  • Insurance
  • Speech Recognition
  • Robotics
  • Gambling and Betting
  • Cosmology
  • Finance and Banking
  • Cosmology

What are the goals of mathematics?

The aims of teaching and learning mathematics are to encourage and enable students to: recognize and understand that mathematics covers every aspect of the world around us.
The goal of maths is to make the make people get adapted to the rapid changes in technology. It helps people to think logically and to solve a problem clearly.
Many believe that math is only needed in the Science, Technology Engineering and Mathematics fields (STEM). … Logic and quantitative reasoning attained in mathematics courses help us make better decisions in any aspect of our life.
Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are the power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability, and even practical communication skills.

MS in Mathematics

What is an MS in Mathematics all about? Why should you pursue this?

The Master’s degree in mathematics encompasses the primary graduate curriculum in mathematics, and also offers the opportunity of some more specialized training in an area of interest. Master’s degree programs in mathematics typically take two years to complete.

Mathematics develops the core foundation for any sort of financial processes, banking system, technological advances. It is the basis of any sort of calculation required in our day to day lives. If you wish to gain a competitive edge over others and understand scientific engineering, or software in depth, this is the subject you must opt for. Besides, an MS in mathematics has ample job opportunities and a lucrative salary in most of the industries. This math degree program is also appropriate for high school mathematics teachers wishing to improve their teaching credentials and expertise. Those who desire advanced and broad training in math or want to earn a Ph.D. in the field may pursue Master of Science degrees in Mathematics.

What are the prerequisites for an MS in mathematics?

To pursue an MS in mathematics, the prerequisites are as follows-

  • A Bachelor’s degree in mathematics or other relevant fields
  • GRE general scores. Some universities also require GRE math scores for admission in an MS program.
  • SOP (Statement of Purpose)
  • LOR (Letter of Recommendation) (2-3)
  • Resume
  • Language proficiency tests like IELTS and TOEFL are also required for admission.
  • Work experience related to research, thesis papers or experience in the education field is always preferred

What is the value of pursuing a dual degree/double master’s with mathematics as one of the majors?

Combining mathematics as one of the major with another major is always a great idea. Mathematics can perfectly complement the study of other varied subjects.

If you are looking to major in science, finance, engineering, economics, social science like psychology or sociology, or engineering, you will find out that the curriculum in your major depends profoundly on math. To get the best out of these courses and also to get acquainted with the material in these subjects, it can be beneficial to take math courses that have applications in these subjects. In fields like these, the use of mathematics becomes more evident as one studies the subject more in-depth. Most of the times, students in these subjects are often restricted by the amount of mathematics they grasp. A major will help you progress in any field that makes uses mathematics. It will expand your job prospects and give a significant boost to your career.

It is also common to have double majors where math is a major along with a subject which is very different from math, like Music, Art, Dance, English, Theater, or Journalism. Mathematics can also be a popular major in the arts or other creative domain. The study of mathematics requires a great deal of creativity. It is not unusual for math students to also be interested in other creative efforts like art or music. Also, often jobs in the arts and many other creative fields are difficult to get, a double major with math can help expand your skills and offer greater certainty of getting a job after graduation.

It can make job applications in any subject look much stronger. Employers and graduate school admissions committees are aware of the fact that the study of mathematics instills strong problem-solving skills, understanding of abstract concepts, along with creative thinking ability. These are all some of the most desired qualities in applicants to almost any field or industry when it comes to job opportunities.

What are the other popular majors that can be coupled with mathematics?

  • Mathematics
  • Statistics
  • Accounting
  • Finance
  • Business Administration
  • Computer Science
  • Engineering
  • Physics
  • Law
  • Education

Where to Study

What are the best graduate schools to study mathematics?

According to QS world rankings, the top ten schools in mathematics are as follows-

  • Massachusetts Institute of Technology (MIT)- United States
  • Harvard University- US
  • Stanford University- US
  • Princeton University – US
  • University of Cambridge UK
  • University of Oxford-US
  • The University of California, Berkeley (UCB)- US
  • ETH Zurich (Swiss Federal Institute of Technology)- Switzerland
  • The University of California, Los Angeles (UCLA)-US
  • New York University (NYU)- US

Where can I study an MS in mathematics?


  • Princeton University.
  • Harvard University.
  • Massachusetts Institute of Technology.
  • Stanford University.
  • University of California–Berkeley.
  • The University of Chicago.
  • Columbia University.
  • University of California–Los Angeles.


  • University of Oxford
  • University of St Andrews
  • University of Cambridge
  • University of Warwick
  • Lancaster University
  • University of Greenwich
  • Loughborough University
  • Durham University
  • Liverpool John Moores University
  • University of Central Lancashire


  • Rheinische Friedrich-Wilhelms-Universität Bonn
  • Technische Universität Berlin
  • Humboldt-Universität zu Berlin
  • Ludwig-Maximilians-Universität München
  • RWTH Aachen University
  • Ruprecht-Karls-Universitaet Heidelberg
  • Technical University of Munich


  • Australian National University
  • University of Melbourne
  • University of Sydney
  • University of New South Wales


  • University of British Columbia
  • University of Toronto
  • McGill University
  • McMaster University
  • University of Victoria
  • University of Waterloo
  • University of Alberta


  • Uppsala University
  • Chalmers Institute of Technology
  • Karolinska Institute
  • Linnaeus University
  • KTH Royal Institute of Technology

How much do MS programs in mathematics cost?

UK- $50099
Canada- $28628
Germany – $8588
Australia- $35785

What courses are a part of an MS program in mathematics?


  • Master in Advanced Mathematics
  • Master in Applied Mathematics and Computational Sciences (AMCS)
  • Master in Mathematical Physics (Math4Phys)
  • Master in Statistical Learning Theory
  • MPhys in Mathematics and Physics
  • Master in Mathematics and Statistics
  • Master in Mathematics, Economics, and Statistics (MMES)
  • Master in Computational Mathematics
  • Master in Mathematical Structures
  • Master in Mathematics for Information Technologies
  • Master in Mathematics and Modelling. Specialization: Algebra with Cryptography and Coding
  • Master’s in Mathematics in Science and Engineering
  • Masters in Statistics
  • Master of Science in Mathematics

What can I study after an MS in mathematics?

After a masters in mathematics, you can actually go for a postgraduate degree in the same domain. Postgraduate studies for some maths-related careers such as operational research, meteorology, engineering design medical statistics in pharmaceutical companies. A Ph.D. may be helpful for looking for work in these areas and is essential for academic careers.

Research in fields like applied maths, statistics or computing systems can be done after an MS in mathematics. You can also study a specific statistics course, like applied, medical and official statistics.


What does a mathematician do?

The duties of a mathematician may vary depending on their field of work. However, they typically develop new mathematical theories, concepts, and rules in areas like geometry and algebra. They use these theories to solve problems in the sciences, business, and engineering and healthcare fields.

A mathematician makes use of mathematical models and formulas to prove or disprove theories, analyze every sort of data by developing statistical or mathematical models, and interpret data and report conclusions drawn from their analysis. A mathematician uses data analysis to support and improve business decisions. He or she maintains their knowledge of current trends by attending professional conferences, reading professional journals, and talking with other mathematicians.

What are the different industries that employ mathematicians?

The different industries that recruit mathematicians are as follows-

  • Accountancy
  • Aerospace & Defence
  • Automotive
  • Biosciences
  • Business support services
  • Chemicals
  • Construction
  • Consultancies
  • Education
  • Engineering
  • Environment
  • Exploration Geophysics
  • Financial Services
  • Food and drink
  • Government
  • Healthcare
  • Insurance
  • Media
  • IT and Computing
  • Manufacturing
  • Metals and Minerals
  • Academic Research
  • Pharmaceuticals
  • Operational Research
  • Metals and Minerals
  • Transport
  • Insurance

Which country has the best job prospects for mathematicians?

China is regarded as one of the most powerful economies in the world. A mathematician can find ample opportunities in accounting, engineering, and finance. The presence of international hubs like Hong Kong and Shanghai, there is always fierce competition amongst highly rewarding and challenging jobs.

The United Kingdom is also considered home to some big stars like Charles Babbage, Ada Lovelace, and Alan Turing in the field of maths. You can start working in the areas of science, engineering, or technology in the UK after a masters in maths. With so much of enriching the history and continuous innovations in the field of mathematics, the U.K. has plenty of job opportunities which will make an impressive addition to your resume.

What kind of jobs are available for those with an MS in mathematics?

The jobs opportunities are as follows-

  • Acoustic consultant
  • Actuarial Analyst
  • Actuary
  • Chartered accountant
  • Chartered certified accountant
  • Data analyst
  • Data scientist
  • Investment analyst
  • Research scientist (maths)
  • Secondary school teacher
  • Software engineer
  • Statistician

Jobs where your degree would be useful include:

  • CAD technician
  • Civil Service fast streamer
  • Financial manager
  • Financial Trader
  • Game designer
  • Insurance underwriter
  • Machine learning engineer
  • Meteorologist
  • Operational researcher
  • Private tutor
  • Quantity surveyor
  • Software tester

Top Employers

  • EY
  • World Fuel services
  • Deloitte
  • KPMG
  • Airbus
  • Ford
  • Proctor and Gamble
  • Midas Group
  • Guardian Teacher Network
  • Chevron
  • ABB
  • Bank of England
  • Royal Air Force
  • Marks and Spencer
  • Aviva
  • Apple
  • Dell
  • IBM
  • Microsoft
  • Mitsubishi Electric
  • Astra Zeneca

How much can mathematicians earn?

According to the Bureau of Labor Statistics, there is a great job demand for mathematicians. Mathematicians are supposed to see job growth of twenty-three percent from the year 2012-2022. One of the reasons for this faster-than-average growth is that there are so few working in this occupation.

Approximately 2,980 individuals held jobs as mathematicians in the United States as of 2011. The Bureau of Labor Statistics reports that the average hourly wage of a mathematician as of May 2011 was$48.71, and the average salary of a mathematician was $101,320.

The salary of math majors depends on several factors, but the average salaries for the popular jobs that math majors hold after graduation are as follows-

Average Salaries for Math-Related Careers

Mathematician: $103,010
Actuaries: $101,560

Operations Research Analysts: $81,390
Statisticians: $84,760

Average Salaries in Careers Mathematicians Can Work In
Physicists: $117,220

Financial Analysts: $84,300
Computer and Information Research Scientists: $114,520
High School Math Teachers: $59,170

Cryptographer: $112,560
Data Scientist: $118,709
University Math Instructor: $74,460