Indiana University Bloomington

What you'll study

This programme builds a strong foundation in pure and applied mathematics while emphasising computational methods and scientific computing. Early years cover core topics such as single- and multivariable calculus, linear algebra, discrete mathematics and introductory proof techniques. As you progress you study courses typical to a computational mathematics pathway, including numerical analysis, scientific computing, differential equations, probability and statistics, optimisation, and mathematical modelling.

Program-specific and elective subjects commonly include:

• Introduction to Proofs and Advanced Calculus
• Numerical Linear Algebra and Matrix Computations
• Ordinary and Partial Differential Equations with computational labs
• Scientific Computing: algorithm implementation in languages such as Python, MATLAB or C/C++
• Probability, Computational Statistics and Data Analysis
• Optimization and Computational Methods for Large-Scale Problems
• Discrete Mathematics, Algorithms and Complexity
• Capstone project or senior thesis with opportunities for interdisciplinary applications

Many students complement mathematics coursework with classes in computer science (data structures, algorithms), physics, engineering or economics. The degree often includes an independent research or capstone component supervised by faculty, and there are regular opportunities for undergraduate research in numerical methods, modelling and high-performance computing.

Entry requirements

Admissions to the undergraduate mathematics programme at Indiana University Bloomington require a high school diploma or equivalent and successful completion of college-preparatory coursework. Strong preparation in mathematics is expected—students are commonly admitted with successful study of advanced high-school mathematics such as calculus.

Typical credential guidance (used by applicants and advisers; not prescriptive):

• U.S. applicants: competitive academic record with emphasis on mathematics and science coursework; demonstrated readiness for college-level calculus.
• International applicants: qualifications equivalent to a U.S. high school diploma; examples include A levels (strong performance in Mathematics, and often Further Mathematics), or the IB Diploma with Higher Level Mathematics.
• Recommended preparation: AP Calculus (or equivalent), strong background in algebra and trigonometry, and some exposure to computer programming is advantageous.

Transfer applicants should have completed college-level calculus and additional lower-division mathematics where possible. Placement testing may be used to identify the correct starting point in the calculus sequence. Specific required documents and any minimum scores or GPA are published by the university admissions office and should be consulted directly.

Career prospects

Graduates with a computational mathematics focus are well positioned for careers that require both rigorous mathematical thinking and practical computational skills. Common career paths include:

• Data scientist or data analyst roles in industry, government and research
• Software engineer or developer positions, particularly in algorithmic or scientific computing applications
• Quantitative analyst or risk modeller in finance and insurance
• Operations research and optimisation specialist in logistics, energy and manufacturing
• Research or technical roles in applied mathematics, computational physics or bioinformatics
• Further study: master’s or doctoral programmes in applied mathematics, computational science, statistics, computer science, engineering or related fields

Students often secure internships with technology companies, research labs and government agencies; undergraduate research and capstone projects make graduates more competitive for technical roles and postgraduate study.

Why study at Indiana University Bloomington

Indiana University Bloomington offers strong resources for students interested in computational mathematics, including a well-established Department of Mathematics in the College of Arts and Sciences and close collaboration with computer science and engineering programmes. The campus supports undergraduate research through faculty-led projects, research centres and summer research opportunities.

Students benefit from access to computing facilities and interdisciplinary institutes on campus that support high-performance computing, data science and modelling work. The university’s emphasis on active learning and small-group mentoring in upper-level courses helps students develop both theoretical understanding and practical skills. In addition, IU’s connections with regional employers and a broad alumni network provide pathways to internships and employment in Bloomington, Indianapolis and beyond.