Cost & earnings at University of Colorado Boulder What students borrow here, and what they go on to earn
Applied Mathematics graduates earn a median $54,463 Across 313 US programmes, two years after finishing
See the degree grade →The Bachelor’s in Applied Mathematics at the University of Colorado Boulder is a three- or four-year undergraduate degree (depending on prior credit) that trains students to apply mathematical theory and computational methods to real-world problems across science, engineering and industry. It suits students who enjoy rigorous mathematics and computing and who want a flexible quantitative foundation for careers in data science, modelling, engineering or further study.
The applied mathematics curriculum combines core mathematical theory with computational and modelling skills. Core topics include multivariable calculus, linear algebra, ordinary and partial differential equations, real analysis and probability. Applied and computational modules typically cover numerical analysis, scientific computing, mathematical modelling, optimisation, stochastic processes and data analysis.
Students choose electives to specialise or broaden their training. Common elective areas are computational methods (including MATLAB, Python and high-performance computing), mathematical statistics and data science, scientific visualisation, mathematical biology, fluid dynamics, and applications in physics and engineering. Many students also take courses in computer science, engineering, economics or the physical sciences to tailor their degree to interdisciplinary problems.
Instruction combines lectures, problem classes and laboratory work in computing and modelling. Undergraduates can also engage in research projects with faculty, participate in capstone or honours-style thesis options where available, and take part in team-based modelling competitions or internships that emphasise real-world application.
Applicants should have a strong background in high-school mathematics, including calculus. Successful applicants typically present evidence of proficiency in algebra, trigonometry and introductory calculus; advanced mathematics qualifications (for example A-level Mathematics/Further Mathematics, IB Higher Level Mathematics, or Advanced Placement Calculus) are advantageous. Prior exposure to programming or computing is recommended but not always required.
General admission to the University is required before declaring the major; transfer students are evaluated on university-level coursework in mathematics and related areas. Prospective students with questions about preparation can consult the department for recommended preparatory courses and placement testing policies.
Graduates with an applied mathematics degree follow many quantitative career paths. Typical roles include data scientist/analyst, quantitative analyst in finance, software or algorithm developer, modelling scientist in engineering or environmental sectors, and roles in operations research and optimisation. Applied mathematicians are also well placed for graduate study (master’s or PhD) in mathematics, statistics, computer science, engineering and related research fields.
The degree provides skills employers value: mathematical modelling, numerical computation, statistical reasoning, and programming. Many students secure internships with technology firms, research labs, national laboratories, government agencies and finance companies, which often lead to full-time positions. Others use the degree as a stepping stone into interdisciplinary research or professional training (for example in data science, machine learning or engineering disciplines).
The University of Colorado Boulder offers a strong applied mathematics programme closely connected to interdisciplinary research across engineering, physics, atmospheric and environmental science, and computational science. The department participates in collaborative institutes and centres, giving undergraduates access to research groups and state-of-the-art facilities, including high-performance computing resources.
Boulder’s regional tech and start‑up ecosystem, plus partnerships with national research laboratories and nearby industry, create opportunities for internships and applied projects. The department emphasises hands-on computational training and offers pathways to honours research or senior projects under faculty mentorship, helping students build practical experience and a competitive portfolio for employment or graduate study.
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