Applied Mathematics major
Applied Mathematics: courses, careers, and where to study
Applied mathematics uses modeling, analysis, and computation to solve concrete problems in engineering, science, and industry, suiting students who like math aimed at real-world questions.
Nationally, bachelor's graduates in Applied Mathematics earn a median $91,532 four years after graduating; the middle half of programs ranges from $63,368 to $127,252 (2017-19 graduates, measured 2022-23, College Scorecard). By credential and college
Applied mathematics is about turning real situations into mathematical models and then solving them. Students learn to describe how physical and engineered systems behave over time, using tools such as differential equations, dynamical systems, and continuum mechanics, and to study phenomena like wave propagation, diffusion, and the flow of materials. A large part of the work is computational: you write code to approximate solutions that have no clean formula, using numerical analysis to control error, and you apply optimization to find the best choice under constraints. You also study inverse problems, where you reason backward from measurements to causes, and asymptotic and variational methods for approximating hard problems. Unlike pure mathematics, which centers on proof and abstract structure for their own sake, applied mathematics keeps the target on a question outside math itself; and unlike statistics or data science, which build from observed data, applied math leans on the mechanics and equations that govern a system.
Applied mathematics programs commonly award a four-year bachelor's degree, typically a Bachelor of Science, that pairs core analysis, linear algebra, and differential equations with scientific programming and a domain area such as physics, engineering, biology, or finance. Many degrees culminate in a capstone or research project where students model an open-ended problem, implement a numerical method, and defend their results in writing. The field has no single license, but graduates heading into specific roles may need a role-specific credential; actuarial work, for instance, requires passing a sequence of professional examinations, and teaching mathematics in public schools requires a state teaching license. Many of the analytical and quantitative roles tied to this major expect a master's degree or doctorate for independent research positions. Graduates work in settings such as engineering and aerospace firms, energy and pharmaceutical companies, financial and insurance institutions, software and analytics teams, government laboratories, and research universities.
In federal data for the closely related occupation of mathematicians, the U.S. Bureau of Labor Statistics reports a 2024 median wage of $121,680 and projects employment to decline about 0.7% from 2024 to 2034; a master's degree is the typical entry-level education for that occupation. National figures are occupation-wide medians across all experience levels, not starting wages or graduate outcomes.
Academic classification (CIP)
In the federal Classification of Instructional Programs, Applied Mathematics maps to CIP 27.0301, Applied Mathematics, General, within the MATHEMATICS AND STATISTICS family. The official definition:
A program that focuses on the application of mathematics to the solution of functional problems in fields such as engineering and the applied sciences. Includes instruction in 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.
Source: U.S. Department of Education (NCES), Classification of Instructional Programs (CIP) 2020. View on nces.ed.gov
What credential Applied Mathematics is awarded as
Of the 11,584 Applied Mathematics credentials U.S. colleges reported conferring in 2024-25:
- Certificate: <1%, 22 credentials.
- Associate: <1%, 26 credentials.
- Bachelor's: 43%, 4,924 credentials.
- Graduate: 57%, 6,612 credentials.
This mix is fairly consistent nationally: across the 28 states reporting it, the certificate share moves by about 1 percentage points between the 10th and 90th percentile state, so the credential is more a property of the field than of where you study it. See the full study.
Credentials conferred in 2024-25, U.S. Department of Education IPEDS completions. A certificate is a different credential from a degree, not a lesser one, and this counts what was awarded rather than what a college currently offers.
What you'll study
- Calculus sequence, real analysis, and linear algebra
- Ordinary and partial differential equations
- Numerical analysis and error control
- Scientific programming in languages such as Python, MATLAB, or C++
- Optimization and variational methods
- Mathematical modeling of physical and engineered systems
- Probability and applied statistics
- Dynamical systems, continuum mechanics, and wave phenomena
- Capstone or research project applying methods to an open-ended problem
Typical careers
- Mathematician
- Data Scientist
- Operations Research Analyst
- Quantitative Analyst
- Cryptographer
- Actuary
Typical salary range: Early-career wages vary by employer, region, and experience (BLS, 2024 mathematicians median $121,680).Ranges are early-career estimates. Any BLS figure shown is the occupation-wide median across all experience levels, not a starting wage, and is informational only.
How much do Applied Mathematics graduates earn?
Nationally, bachelor's graduates in Applied Mathematics earn a median $91,532 four years after graduating; the middle half of programs ranges from $63,368 to $127,252 (2017-19 graduates, measured 2022-23, College Scorecard).
| Credential | National median | Middle half of programs |
|---|---|---|
| Bachelor's | $91,532 | $63,368 to $127,252 |
| Master's | $116,060 | $85,199 to $161,426 |
Compare Applied Mathematics programs in your state
Highest-earning bachelor's Applied Mathematics programs
- Brown University (RI): $157,822, median federal debt $10,000
- Stevens Institute of Technology (NJ): $156,419, median federal debt $25,841
- University of North Carolina at Chapel Hill (NC): $119,839, median federal debt $14,135
- University of California, Berkeley (CA): $118,414, median federal debt $14,500
- Virginia Polytechnic Institute and State University (VA): $117,990, median federal debt $20,000
- University of California-Santa Barbara (CA): $109,360, median federal debt $17,000
- University of Connecticut (CT): $104,454, median federal debt $23,495
- University of California, Los Angeles (CA): $103,887, median federal debt $14,400
- University at Albany (NY): $103,659, median federal debt $19,719
- University of Southern California (CA): $101,094, median federal debt $12,251
Ordered by median earnings: one federal measure, not a ranking of program quality. Federal program group: Applied Mathematics. Earnings: graduates of 2017-18 and 2018-19, earnings measured in 2022 and 2023, in 2024 dollars, for graduates who received federal aid, worked and were not enrolled. Programs need at least 30 graduates in the earnings cohort to be listed; multi-state systems whose figures pool campuses are not listed. Source: U.S. Department of Education, College Scorecard, 10 June 2026. How much the college matters, by major. Graduate programs over the new federal loan caps.
Related occupations
Occupations the federal CIP–SOC crosswalk associates with Applied Mathematics, with what each one pays and how many openings it is projected to average each year. Ordered by projected annual openings, largest first. Linked titles open the full CampusPin career page.
| Occupation | Median pay | Openings / yr | Projected change | Most entrants hold |
|---|---|---|---|---|
| Data Scientists | $112,590 | 23,400 | +33.5% | Bachelor's degree |
| Natural Sciences Managers | $161,180 | 8,500 | +3.7% | Bachelor's degree |
| Mathematical Science Teachers, Postsecondary | $79,350 | 4,400 | +2.3% | Doctoral or professional degree |
| Actuaries | $125,770 | 2,400 | +21.8% | Bachelor's degree |
| Statisticians | $103,300 | 2,000 | +8.5% | Master's degree |
| Mathematical Science Occupations, All Other | $71,490 | 300 | +4% | Bachelor's degree |
| Mathematicians | $121,680 | 100 | -0.7% | Master's degree |
Crosswalk: U.S. Department of Education (NCES), CIP 2020 to SOC 2018. Pay, openings and projections: U.S. Bureau of Labor Statistics (2024 wages, Employment Projections). 7 of these 7 occupations report a median wage.
“Most entrants hold” is what BLS observes about people already working in the occupation. It is not a legal requirement, not an admission rule, and not a guarantee of entry. Studying Applied Mathematics does not guarantee any specific occupation, and many of these roles are entered from several different fields. Projected openings are a projection, not jobs promised.
Before you commit to a Applied Mathematics major
CampusPin does not rank programs. Use these prompts to pressure-test whether a specific Applied Mathematics program fits your goals, they are decision questions, not claims about any school.
Ask the Applied Mathematics department
- Which concentrations or specializations are offered, and which faculty lead them?
- What does the typical course sequence look like, and how much is required vs. elective?
- What labs, studios, clinical placements, or research opportunities are available to undergraduates?
- Is there a capstone, thesis, internship, or co-op requirement?
Ask current students & check the curriculum
- How heavy is the workload, and how accessible is the faculty?
- What internships or co-ops did you do, and where do recent graduates end up?
- Does the required curriculum actually match the careers listed above?
- How easy is it to add a minor, double major, or switch tracks later?
Find a Applied Mathematics program
CampusPin lists U.S. universities and community colleges by state, tuition, school size, acceptance rate, and campus setting, no account required.
Colleges that awarded the most Applied Mathematics credentials
Largest by credentials conferred in 2024-25. This measures the size of the graduating class, not quality, and it is not a ranking.
- Stony Brook University, NY · 391 credentials
- University of California-Berkeley, CA · 367 credentials
- University of California-Los Angeles, CA · 318 credentials
- Fordham University, NY · 299 credentials
- University of Southern California, CA · 295 credentials
- University of Washington-Seattle Campus, WA · 283 credentials
- Washington University in St Louis, MO · 275 credentials
- New York University, NY · 266 credentials
- Brown University, RI · 257 credentials
- University of North Carolina at Chapel Hill, NC · 252 credentials
- University of California-San Diego, CA · 251 credentials
- Northeastern University, MA · 200 credentials
Based on credentials this institution reported conferring in the federal IPEDS completions collection for 2024-25. It confirms the field was awarded that year, not that the program currently accepts students, and it covers only the fields CampusPin tracks. Confirm current offerings with the institution.
Where Applied Mathematics credentials were awarded
24 states have a distinct enough set of Applied Mathematics colleges to be worth its own page.
- New York: 33 colleges
- California: 28 colleges
- Pennsylvania: 25 colleges
- Massachusetts: 22 colleges
- Texas: 18 colleges
- Florida: 14 colleges
- Illinois: 13 colleges
- Ohio: 13 colleges
- Michigan: 12 colleges
- Indiana: 11 colleges
- Virginia: 11 colleges
- Washington: 10 colleges
- New Jersey: 9 colleges
- Connecticut: 9 colleges
- North Carolina: 8 colleges
- Maryland: 8 colleges
- Missouri: 7 colleges
- Minnesota: 7 colleges
- Iowa: 6 colleges
- Georgia: 5 colleges
- Tennessee: 5 colleges
- Kentucky: 5 colleges
- Oregon: 5 colleges
- Wisconsin: 5 colleges
Applied Mathematics by state
- Applied Mathematics in California
- Applied Mathematics in Florida
- Applied Mathematics in Georgia
- Applied Mathematics in Illinois
- Applied Mathematics in Maryland
- Applied Mathematics in Massachusetts
- Applied Mathematics in New York
- Applied Mathematics in North Carolina
- Applied Mathematics in Pennsylvania
- Applied Mathematics in Texas
Every Applied Mathematics program with its own CampusPin page
8 programs in 3 states, A to Z by state and then by college. Each page gives what the program's graduates earned four years after finishing, what they borrowed in federal loans, the monthly payment, and how the program compares with others in its state and the nation. The figure beside each college is the median for its largest credential with at least 30 graduates (U.S. Department of Education, College Scorecard, 2017-19 graduates, measured 2022-23). The list is alphabetical; it is not a ranking.
Applied Mathematics programs in California, 5 programs
- University of California-San Diego Bachelor's, $85,233
- University of California-Santa Barbara Bachelor's, $109,360
- University of California, Berkeley Bachelor's, $118,414
- University of California, Los Angeles Bachelor's, $103,887
- University of Southern California Bachelor's, $101,094
Applied Mathematics programs in New York, 1 program
- Stony Brook University Bachelor's, $82,200
Applied Mathematics programs in Pennsylvania, 2 programs
- Robert Morris University Bachelor's, $76,610
- University of Pittsburgh-Pittsburgh Campus Bachelor's, $95,719
Related majors
Mathematics
Mathematics develops formal proof, abstraction, and quantitative analysis, feeding into research, finance, computing, actuarial science, and graduate programs across STEM.
Statistics
Statistics covers the mathematics of collecting, modeling, and drawing conclusions from data, a quantitative major suited to students who like reasoning under uncertainty.
Data Science
Data Science combines statistics, programming, and domain expertise to turn raw data into decisions, drawing on machine learning, visualization, and data engineering.
Actuarial Science
Actuarial Science applies probability, statistics, and finance to measure and price risk, suiting students who enjoy heavy math and want to work toward professional actuarial exams.
Physics
Physics studies the fundamental laws of matter, energy, and motion, a foundational major for engineering, computing, finance, and graduate research.
Still deciding between Applied Mathematics and something else?
These guides put Applied Mathematics side by side with the major it is most often confused with, using the federal CIP–SOC crosswalk to show where the two actually lead.
Put this major in context
The salary above is an occupation-wide median from federal data, not a starting wage or a guarantee. These CampusPin guides and reports help you read it well, see where a Applied Mathematics degree can lead, and weigh it against cost and program quality.
Explore Computing & Math careers
Median pay, job outlook, and the occupations this field covers.
Explore Management careers
Median pay, job outlook, and the occupations this field covers.
How one major leads to many careers
Why a single Applied Mathematics degree can open more than one path, and how to read the occupations above.
Why a median wage is not a starting salary
How to read a BLS median, and why early-career pay usually sits below it.
When accreditation and licensure matter
How program accreditation and state licensure can shape a Applied Mathematics path before you enroll.
Does a pricier college pay off?
How college cost lines up with graduation and earnings, an association, not a ranking.
Does picking a major narrow your college list?
Across the federal completions data, most fields barely change which colleges are on the table. Which ones genuinely do.
Certificate or degree?
What credential a field is usually awarded as is mostly set by the field itself, not by the state, with a short list of exceptions.
How this guide is sourced
This is an editorial guide from the CampusPin Editorial Team. Career and wage figures are from the U.S. Bureau of Labor Statistics, occupation-wide medians across all experience levels, not starting wages, and link to each career page. Program availability comes from CampusPin's free institution search; CampusPin does not assert that any specific school offers this exact major until that program data is verified. Last reviewed 2026-06-15. How CampusPin sources data · Report a correction.