Applied Mathematics & Statistics
What you'll do in college
Applied Mathematics & Statistics is for those who love rigorous mathematics but want to wield it against messy, real-world problems rather than prove abstract theorems in a vacuum. The applied-math side leans on differential equations, linear algebra, numerical analysis, mathematical modeling, and optimization; the statistics side adds probability theory, regression analysis, Bayesian inference, and experimental design. You'll spend your time translating complex systems—fluid dynamics, financial markets, epidemics, elections—into elegant equations, and an inordinate amount of time writing R and Python scripts to fit models, chase p-values, and vehemently explain that correlation does not equal causation.
What you'll do after college
Graduates become quantitative analysts (quants), operations researchers, actuaries, biostatisticians, and data scientists. You might be modeling aerodynamic flow for an aerospace firm, optimizing supply-chain logistics, building algorithmic trading models for a hedge fund, proving a new pharmaceutical drug actually works, or forecasting an election. It's highly lucrative and demand is exceptionally stable—though you'll still have to explain to pure math majors that you haven't "sold out," and to everyone else that the numbers aren't lying.
Famous graduates
- Jim Simons — Founder of Renaissance Technologies and pioneering quant; B.S. in Mathematics from MIT, Ph.D. in Mathematics from UC Berkeley
- Katherine Johnson — NASA mathematician whose calculations of orbital mechanics were critical to the first US crewed spaceflights; B.S. in Mathematics and French from West Virginia State University
- Claude Shannon — Father of information theory; B.S. in Electrical Engineering and Mathematics from University of Michigan
- George Dantzig — Inventor of the simplex algorithm for linear programming; B.A. in Mathematics and Physics from University of Maryland
- Nate Silver — Founder of FiveThirtyEight and renowned statistician/psephologist; B.A. in Economics from University of Chicago
- Edward Tufte — Pioneer of data visualization; B.S. and M.S. in Statistics from Stanford University
- Florence Nightingale — Founder of modern nursing and pioneer in statistical graphics for public health; educated in mathematics by her father
Selectivity vs. earnings
By acceptance rate
By SAT median
Earnings vs. selectivity rank
Majors in this category
| Major | Colleges | Degrees ▼ | Male/Female | Intl | Earnings | Employment |
|---|---|---|---|---|---|---|
| Applied Mathematics & Statistics | 391 | 9,213 | 61% / 39% | 21% | $94,877 | 96% |
| Statistics | 152 | 3,142 | 58% / 42% | 20% | $90,662 | 96% |
| Applied Mathematics | 179 | 2,542 | 61% / 39% | 23% | $86,129 | 95% |
| Financial Mathematics | 35 | 622 | 70% / 30% | 14% | $82,500 | 94% |
| Mathematics and Statistics | 47 | 465 | 55% / 45% | 35% | $90,466 | 97% |
| Statistical Science | 3 | 446 | 64% / 36% | 26% | $105,018 | 94% |
| Computational and Applied Mathematics | 33 | 385 | 63% / 37% | 15% | $85,273 | 94% |
| Systems Science and Theory | 10 | 211 | 56% / 44% | 3% | $80,203 | 94% |
| Logic, Information, & Computation | 1 | 150 | 68% / 32% | 22% | $294,852 | 100% |
| Computational Mathematics | 13 | 139 | 54% / 46% | 17% | $97,212 | 91% |
| Applied Mathematical Sciences | 3 | 136 | 67% / 33% | 6% | $90,563 | 98% |
| Financial Mathematics and Statistics | 1 | 108 | 57% / 43% | 38% | $98,551 | 88% |
| Mathematics of Computation | 1 | 103 | 68% / 32% | 31% | $84,432 | 92% |
| Applied Statistics | 9 | 92 | 60% / 40% | 16% | $94,738 | |
| Applied and Computational Mathematical Sciences | 1 | 79 | 52% / 48% | 66% | $105,661 | 96% |
| Biostatistics | 8 | 62 | 42% / 58% | 16% | $93,552 | 97% |
| Statistics & Data Science | 1 | 62 | 60% / 40% | 11% | $154,877 | |
| Statistics and Data Science | 2 | 60 | 65% / 35% | 18% | $133,248 | 94% |
| Quantitative Finance | 1 | 54 | 76% / 24% | 0% | $138,372 | 100% |
| Mathematics-Statistics | 2 | 41 | 63% / 37% | 17% | $131,464 | 92% |
| Biometry and Statistics | 1 | 32 | 44% / 56% | 9% | $145,805 | 100% |
| Data Science & Statistics | 1 | 29 | 66% / 34% | 17% | $91,864 | 100% |
| Mathematics with Computer Science (Course 18-C) | 1 | 29 | 69% / 31% | 7% | $172,247 | 82% |
| Applied Mathematics and Statistics | 2 | 23 | 83% / 17% | 39% | $117,341 | 94% |
| Applied Statistics and Actuarial Science | 1 | 23 | 65% / 35% | 4% | $86,893 | |
| Financial Mathematics (Course 18) | 1 | 20 | 35% / 65% | 0% | $181,704 | |
| Computational Finance and Risk Management | 1 | 19 | 58% / 42% | 47% | $105,661 | 96% |
| Mathematical Statistics and Probability | 3 | 18 | 67% / 33% | 17% | $93,546 | |
| Mathematical Biology | 4 | 14 | 36% / 64% | 7% | $89,434 | 98% |
| Computational Finance | 1 | 14 | 57% / 43% | 57% | $150,947 | |
| Applied and Computational Mathematics | 1 | 13 | 62% / 38% | 0% | $155,974 | |
| Computational Mathematical Sciences | 1 | 12 | 67% / 33% | 8% | $79,125 | 100% |
| Economics and Statistics | 1 | 12 | 75% / 25% | 17% | $155,801 | 96% |
| Mathematical Analytics and Operations Research | 1 | 10 | 50% / 50% | 20% | $86,868 | 97% |
| Engineering Mathematics and Statistics | 1 | 9 | 56% / 44% | 11% | $121,419 | |
| Systems Science | 2 | 8 | 0% / 100% | 0% | $88,892 | |
| Quantitative Biology | 1 | 8 | 25% / 75% | 25% | $83,954 | |
| Statistics and Actuarial Science | 1 | 8 | 62% / 38% | 0% | $78,498 | |
| Mathematics (Applied) | 1 | 7 | 29% / 71% | 0% | $79,125 | 100% |
| Research Methods | 2 | 5 | 80% / 20% | 40% | $73,163 | 100% |
| Statistics and Machine Learning | 1 | 1 | 100% / 0% | 0% | $155,801 | 96% |