Applied Mathematics
Students study mathematical methods used to solve real-world problems in science, engineering, finance, and technology, including differential equations, optimization, and numerical analysis. Graduates typically pursue careers as data scientists, quantitative analysts, operations researchers, and mathematical modelers in finance, tech, defense, and consulting. Applied mathematicians command premium salaries in quantitative finance and technology sectors.
What Applied Mathematics graduates do
Your degree in applied mathematics makes you a professional problem-solver for complex systems. As a data scientist, you won't just analyze data; you'll build the predictive models that power business decisions, spending your days cleaning messy datasets and translating your findings for executives. In finance, you might work as an analyst, living in spreadsheets to model a company's future earnings and advise on major trades. Or, as an actuary, you’ll use statistical models to calculate the financial cost of risk for insurance companies, essentially predicting the future to set policy prices.
Initially, you’ll focus on executing these analyses. As you advance, your role shifts to designing the strategy, managing projects, and making the final judgment calls. Paths like data science and actuarial science are growing exceptionally fast, offering quicker advancement than more traditional, slower-growing roles in the field.
AI will be your powerful but disruptive coworker. In high-exposure roles like data science, AI handles many routine modeling tasks, shifting your value toward designing complex systems and critically evaluating automated outputs. For most other paths, AI will automate significant chunks of analysis, freeing you to focus on strategy and communicating insights. Your career won't be about running the numbers, but knowing which numbers to run and what they truly mean.
Closely-related majors include Statistics and Mathematics & Statistics, which share overlapping career paths and skill sets.
Where Applied Mathematics graduates work
Common career paths for Applied Mathematics graduates, with median salaries, projected growth, and AI exposure per role. Roughly 87,000 combined openings per year across these roles.
| Role | Median Pay | Annual Openings | 10-yr Growth | AI Exposure |
|---|---|---|---|---|
|
Natural sciences managers
|
$161,180
$114K–$215K
|
8,500 | +3.7% | High · 50% |
|
Actuaries
|
$125,770
$91K–$165K
|
2,400 | +21.8% | High · 50% |
|
Mathematicians
|
$121,680
$86K–$153K
|
100 | -0.7% | Very High · 100% |
|
Economists
|
$115,440
$82K–$166K
|
900 | +1.2% | High · 61% |
|
Data scientists
|
$112,590
$83K–$156K
|
23,400 | +33.5% | High · 64% |
|
Financial risk specialists
|
$106,000
$80K–$145K
|
4,800 | +6.5% | High · 53% |
|
Statisticians
|
$103,300
$79K–$138K
|
2,000 | +8.5% | High · 66% |
|
Financial and investment analysts
|
$101,350
$78K–$132K
|
25,100 | +5.7% | Moderate · 46% |
|
Biological scientists, all other
|
$93,330
$68K–$121K
|
4,800 | +1.2% | Moderate · 49% |
|
Financial specialists, all other
|
$80,190
$60K–$109K
|
10,300 | +3.1% | Moderate · 48% |
|
Mathematical science teachers, postsecondary
|
$79,350
$61K–$106K
|
4,400 | +2.3% | High · 54% |
|
Mathematical science occupations, all other
|
$71,490
$52K–$102K
|
300 | +4.0% | Very High · 87% |
Best schools for Applied Mathematics
Schools ranked by DegreeOutlook Score (earnings × AI resilience × ROI × job-market size). Top 10 of 44.
| # | School | DW Score | 1-yr Earnings | ROI |
|---|---|---|---|---|
| 5 |
University of California-Los Angeles
Los Angeles, CA · Public
|
72 | $61,188 | 16.4x |
| 6 |
Texas A & M University-College Station
College Station, TX · Public
|
71 | $57,787 | 16.7x |
| 7 |
Harvard University
Cambridge, MA · Private nonprofit
|
70 | $114,279 | 6.5x |
| 8 |
University of Pittsburgh-Bradford
Bradford, PA · Public
|
69 | $58,358 | 14.4x |
| 9 |
University of Pittsburgh-Greensburg
Greensburg, PA · Public
|
69 | $58,358 | 14.4x |
| 10 |
University of California-Davis
Davis, CA · Public
|
69 | $53,940 | 14.6x |
| 11 |
Brown University
Providence, RI · Private nonprofit
|
68 | $99,193 | 4.0x |
| 12 |
University of South Carolina Aiken
Aiken, SC · Public
|
68 | $59,965 | 16.0x |
| 13 |
Arizona State University Campus Immersion
Tempe, AZ · Public
|
68 | $55,173 | 15.7x |
| 14 |
Stony Brook University
Stony Brook, NY · Public
|
66 | $44,972 | 20.3x |
| 15 |
University of Pittsburgh-Pittsburgh Campus
Pittsburgh, PA · Public
|
65 | $58,358 | 9.5x |
| 16 |
Texas State University
San Marcos, TX · Public
|
65 | $49,822 | 15.1x |
| 17 |
Ohio State University-Main Campus
Columbus, OH · Public
|
64 | $82,523 | 15.0x |
| 18 |
Virginia Polytechnic Institute and State University
Blacksburg, VA · Public
|
62 | $82,275 | 12.3x |
| 19 |
Robert Morris University
Moon Township, PA · Private nonprofit
|
62 | $62,328 | 5.3x |
| 20 |
Colorado School of Mines
Golden, CO · Public
|
62 | $50,398 | 9.6x |
Highest Earnings Top 5
| Harvard University
MA |
$114,279 |
| Brown University
RI |
$99,193 |
| Stevens Institute of Technology
NJ |
$97,700 |
| Northwestern University
IL |
$94,684 |
| Columbia University in the City of New York
NY |
$91,559 |
Best ROI Top 5
| University of North Carolina at Chapel Hill
NC |
31.8x |
| CUNY City College
NY |
25.1x |
| University of California-Berkeley
CA |
23.4x |
| University of Wisconsin-Stout
WI |
22.0x |
| Kennesaw State University
GA |
20.6x |
Related majors
Similar fields of study often offered alongside Applied Mathematics.
Frequently asked about Applied Mathematics
How much do Applied Mathematics graduates earn?
First-year earnings for Applied Mathematics graduates average $62,641 annually, based on data from 44 programs. The range spans $27,626 at the low end to $114,279 at the top.
How exposed is Applied Mathematics to AI disruption?
AI exposure for Applied Mathematics is rated "Very High." With 60% of tasks potentially affected by large language models, most career functions face meaningful automation pressure in the coming decade.
What's the top-ranked school for Applied Mathematics?
Based on our DegreeOutlook Score (combining earnings, AI resilience, job market size, and ROI), University of North Carolina at Chapel Hill ranks #1 for Applied Mathematics with a score of 78/100 and graduate earnings of $75,105/yr.
What's the ROI on a Applied Mathematics degree?
Typical graduates earn 11.7 times what they paid in tuition within a decade. This is a strong return on investment. Look at per-school ROI in the table above — averages can mask significant variation.