Mathematics and Statistics
Applied Mathematics
Focuses on the application of mathematics to the solution of functional problems in fields such as engineering and the applied sciences. Covers natural phenomena modeling continuum mechanics, reaction-diffusion, wave propagation, dynamic systems, numerical analysis, controlled theory, asymptotic methods, variation, optimization theory, inverse problems, and applications to specific scientific and industrial topics.
Inside the major
Programs within this field
Colleges may offer this field under 6 more specific program names. The program you choose affects the courses you take.
- Applied Mathematics, General
- Focuses on the application of mathematics to the solution of functional problems in fields such as engineering and the applied sciences. Covers natural phenomena modeling continuum mechanics, reaction-diffusion, wave propagation, dynamic systems, numerical analysis, controlled theory, asymptotic methods, variation, optimization theory, inverse problems, and applications to specific scientific and industrial topics.
- Computational Mathematics
- Focuses on the application of mathematics to the theory, architecture, and design of computers, computational techniques, and algorithms. Covers computer theory, cybernetics, numerical analysis, algorithm development, binary structures, combinatorics, advanced statistics, and related topics.
- Computational and Applied Mathematics
- Focuses on the application of a broad range of mathematical and computational methods to modeling, analysis, algorithm development, and simulation for the solution of complex scientific and engineering problems. Covers numerical analysis, discrete mathematics, operations research, optimization, differential equations, statistics, scientific computation, and applications to specific scientific and industrial topics.
- Financial Mathematics
- Focuses on the application of mathematics and statistics to the finance industry, including the development, critique, and use of various financial models. Covers probability theory, statistical analysis, numerical methods, computation and simulation methods, stochastic processes, economics, and financial markets and applications.
- Mathematical Biology
- Focuses on the application of mathematics to genomics, molecular modeling, structural biology, ecology, evolutionary biology and systems of analysis of neurobiology, physiology, and metabolism. Covers computational mathematics, chaos and nonlinear systems, perturbation methods, evolutionary biology, molecular biology, bioinformatics, and neurobiology.
- Applied Mathematics, Other
- Applied mathematics not listed above.
Also called Fundamental Analysis and Real Variables, Mathematical Analysis, Numerical Analysis/Methods/Computation
Also called Mathematical Finance, Quantitative Finance, Quantitative and Computational Finance
Also called Combinatorics and Optimization
Where it can lead
Careers this field can lead to
Explore related careers, starting with the closest connections and the occupations hiring the most people.
Data Scientists
- Median pay
- $120,230
- Hiring change through 2035
- 34.6%
- Job openings a year
- 24,800
To get hiredBachelor's degree
Explore this career GrowingNatural Sciences Managers
- Median pay
- $167,220
- Hiring change through 2035
- 8.2%
- Job openings a year
- 9,200
To get hiredBachelor's degree
Explore this career GrowingFinancial and Investment Analysts
- Median pay
- $102,740
- Hiring change through 2035
- 7.2%
- Job openings a year
- 24,700
To get hiredBachelor's degree
Explore this career Growing slowlyMathematical Science Teachers, Postsecondary
- Median pay
- $79,940
- Hiring change through 2035
- 1.7%
- Job openings a year
- 3,900
To get hiredDoctoral or professional degree
Explore this career Growing with the economyFinancial Specialists, All Other
- Median pay
- $81,100
- Hiring change through 2035
- 4.1%
- Job openings a year
- 9,400
To get hiredBachelor's degree
Explore this career GrowingMathematical Science Occupations, All Other
- Median pay
- $81,490
- Hiring change through 2035
- 7.1%
- Job openings a year
- 200
To get hiredBachelor's degree
Explore this career Growing slowlyMathematicians
- Median pay
- $126,710
- Hiring change through 2035
- 0.6%
- Job openings a year
- 100
To get hiredMaster's degree
Explore this career GrowingFinancial Risk Specialists
- Median pay
- $117,330
- Hiring change through 2035
- 7.4%
- Job openings a year
- 4,800
To get hiredBachelor's degree
Explore this career Growing fastStatisticians
- Median pay
- $105,650
- Hiring change through 2035
- 11.0%
- Job openings a year
- 1,900
To get hiredMaster's degree
Explore this career Growing with the economyBiological Scientists, All Other
- Median pay
- $98,920
- Hiring change through 2035
- 4.7%
- Job openings a year
- 4,300
To get hiredBachelor's degree
Explore this career Growing fastActuaries
- Median pay
- $130,000
- Hiring change through 2035
- 9.2%
- Job openings a year
- 1,500
To get hiredBachelor's degree
Explore this career Growing with the economyEconomists
- Median pay
- $124,720
- Hiring change through 2035
- 4.7%
- Job openings a year
- 1,100
To get hiredMaster's degree
Explore this careerAll work is projected to grow 3.5% between 2025 and 2035; read every hiring-change figure against it. The figures beside each career are the pay of that work, across everyone doing it. Graduates of this field earn $50,312 one year after completing the program, which is the start of a career rather than the shape of one.
Working style
How and where the work happens
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Few of the careers connected to this field are measured as substantially in-person or active work. Compare the specific occupations to see how much time each one involves with people, equipment, and movement.
College options
Where to study it
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