Mathematics is the abstract science of numbers, quantity, and space. Mathematics may be studied in its own right (pure mathematics), or as it is applied to other disciplines such as physics and engineering (applied mathematics).
Statistics is the science of collecting and analyzing numerical data in large quantities, especially for the purpose of inferring proportions as a whole from those in a representative sample.
Mathematicians solve problems. Problems they work on range from pure mathematical problems to applied problems. Mathematicians try to find common features in seemingly distinct problems. That is, they look for patterns. They classify what behaviors can result from certain systems. For example, differential equations can be used to show that an electrical RLC circuit ?behaves? in exactly the same way as a spring-mass system, oscillating back and forth until the motion damps out. Graph theory can be used to schedule tournaments with scheduling constraints or to show that certain scheduling constraints are impossible to meet. Often studies that are considered at one time pure mathematics, with no application in mind, turn out to be the most useful. For example, pure research studying efficient factoring algorithms for large integers led to extremely useful algorithms for computer encryption.
Applied mathematicians use mathematical theory, computational techniques, algorithms and the latest computer technology to solve economic, scientific, engineering and business problems. This process often involves building a mathematical ?model? of the application, using mathematical theory to understand the behavior of the model, and then interpreting this behavior in the context of the original application. Some applications include designing the most fuel-efficient rocket path to the moon, advising the DNR how many deer licenses to sell, and predicting the effect of vaccinations on epidemics.
Statisticians develop techniques to overcome problems in data collection and analysis. They use statistical methods to collect and analyze data and to help solve real-world problems in business, engineering, healthcare, and other fields. For example, they design medical experiments to make sure that valid conclusions can be drawn about the use of medications, they suggest marketing strategies based on relatively small samples of consumers, and they decide what premiums to charge on insurance policies.
Do you like to solve problems? Do you want to know ?why? things work as they do, not just ?how? they work? Do you feel uncomfortable plugging into an equation when you don't know where the equation came from? Do you want to know how many voters to sample to be able to accurately predict the outcome of an election? If you ask yourselves these kinds of questions, mathematics or statistics might be right for you.
Career opportunities for mathematics and statistics are extensive. Obvious careers involve working as an actuary for an insurance or consulting company, or as a teacher. Most mathematics and statistics majors, however, use their problem-solving skills in the business world ? analyzing processes, data, and algorithms, or in government research. Employers hire mathematics and statistics majors because employers know those students are able to work on hard problems and to make logical decisions.
A degree involving mathematics or statistics will prepare you for a career in areas such as health, finance, information technology, education, pharmaceuticals, government, insurance, and academia.
A bachelor's degree in mathematics will prepare you for fascinating jobs in statistics, actuarial sciences, mathematical modeling, and cryptography; for teaching; as well as for graduate school leading to a research career in mathematics or statistics.
A strong background in mathematics is also necessary for research in many areas of computer science, social science, and engineering.
To take up higher studies in mathematics one needs to master the very basics of mathematics right from middle school. He /she must have completed 10+2 with physics, chemistry, and Maths.
One can take up the subject as Honours at the undergraduate level so that he/she can specialize in the subject at postgraduate level.
One who still wants to pursue further study or carry out research work can undertake a Ph.D. program offered by various institutes and universities in the country.
Indian Institute Of Science, Bangalore
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3404-021813.html
Indian Institute Of Technology, Madras
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3405-021813.html
IIT Madras Offers Free Online Mathematics Course 2018 In Collaboration With AICTE And MHRD
Indian Institute of Technology, Roorkee
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3407-021813.html
University Of Delhi
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3408-021813.html
University Of Calcutta
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3410-021813.html
Savitribai Phule Pune University
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3411-021813.html
SRM University
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3412-021813.html
Maharishi Markandeshwar University
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3413-021813.html
" />Mathematics is the abstract science of numbers, quantity, and space. Mathematics may be studied in its own right (pure mathematics), or as it is applied to other disciplines such as physics and engineering (applied mathematics).
Statistics is the science of collecting and analyzing numerical data in large quantities, especially for the purpose of inferring proportions as a whole from those in a representative sample.
Mathematicians solve problems. Problems they work on range from pure mathematical problems to applied problems. Mathematicians try to find common features in seemingly distinct problems. That is, they look for patterns. They classify what behaviors can result from certain systems. For example, differential equations can be used to show that an electrical RLC circuit ?behaves? in exactly the same way as a spring-mass system, oscillating back and forth until the motion damps out. Graph theory can be used to schedule tournaments with scheduling constraints or to show that certain scheduling constraints are impossible to meet. Often studies that are considered at one time pure mathematics, with no application in mind, turn out to be the most useful. For example, pure research studying efficient factoring algorithms for large integers led to extremely useful algorithms for computer encryption.
Applied mathematicians use mathematical theory, computational techniques, algorithms and the latest computer technology to solve economic, scientific, engineering and business problems. This process often involves building a mathematical ?model? of the application, using mathematical theory to understand the behavior of the model, and then interpreting this behavior in the context of the original application. Some applications include designing the most fuel-efficient rocket path to the moon, advising the DNR how many deer licenses to sell, and predicting the effect of vaccinations on epidemics.
Statisticians develop techniques to overcome problems in data collection and analysis. They use statistical methods to collect and analyze data and to help solve real-world problems in business, engineering, healthcare, and other fields. For example, they design medical experiments to make sure that valid conclusions can be drawn about the use of medications, they suggest marketing strategies based on relatively small samples of consumers, and they decide what premiums to charge on insurance policies.
Do you like to solve problems? Do you want to know ?why? things work as they do, not just ?how? they work? Do you feel uncomfortable plugging into an equation when you don't know where the equation came from? Do you want to know how many voters to sample to be able to accurately predict the outcome of an election? If you ask yourselves these kinds of questions, mathematics or statistics might be right for you.
Career opportunities for mathematics and statistics are extensive. Obvious careers involve working as an actuary for an insurance or consulting company, or as a teacher. Most mathematics and statistics majors, however, use their problem-solving skills in the business world ? analyzing processes, data, and algorithms, or in government research. Employers hire mathematics and statistics majors because employers know those students are able to work on hard problems and to make logical decisions.
A degree involving mathematics or statistics will prepare you for a career in areas such as health, finance, information technology, education, pharmaceuticals, government, insurance, and academia.
A bachelor's degree in mathematics will prepare you for fascinating jobs in statistics, actuarial sciences, mathematical modeling, and cryptography; for teaching; as well as for graduate school leading to a research career in mathematics or statistics.
A strong background in mathematics is also necessary for research in many areas of computer science, social science, and engineering.
To take up higher studies in mathematics one needs to master the very basics of mathematics right from middle school. He /she must have completed 10+2 with physics, chemistry, and Maths.
One can take up the subject as Honours at the undergraduate level so that he/she can specialize in the subject at postgraduate level.
One who still wants to pursue further study or carry out research work can undertake a Ph.D. program offered by various institutes and universities in the country.
Indian Institute Of Science, Bangalore
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3404-021813.html
Indian Institute Of Technology, Madras
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3405-021813.html
IIT Madras Offers Free Online Mathematics Course 2018 In Collaboration With AICTE And MHRD
Indian Institute of Technology, Roorkee
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3407-021813.html
University Of Delhi
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3408-021813.html
University Of Calcutta
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3410-021813.html
Savitribai Phule Pune University
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3411-021813.html
SRM University
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3412-021813.html
Maharishi Markandeshwar University
Read more at https://www.careerindia.com/top-10-colleges-india-maths-2018/articlecontent-pf3413-021813.html
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