Alvernia University

What you'll study

The Computational Mathematics programme builds a strong foundation in pure and applied mathematics while emphasising numerical methods, algorithmic thinking and scientific computing. Core coursework typically includes calculus sequence, linear algebra, differential equations and real analysis to develop theoretical understanding.

• Numerical Analysis and Numerical Linear Algebra — algorithms for approximating solutions to equations, stability and error analysis
• Computational Methods and Scientific Computing — practical implementation of numerical techniques using high-level languages
• Probability and Mathematical Statistics — probabilistic models, inference and statistical thinking for data
• Discrete Mathematics and Algorithms — foundations of algorithm design, complexity and combinatorics
• Applied Differential Equations and Mathematical Modelling — modelling physical and biological systems and analysing their behaviour
• Computer Programming for Scientists — structured programming, data structures and use of languages common in scientific computing (e.g., Python, MATLAB)
• Capstone Project or Undergraduate Research — supervised project applying computational methods to a real problem, often in collaboration with faculty or local industry

Students also take supporting courses in related areas such as physics, economics or computer science, and have opportunities to choose electives in machine learning, data science, optimization or high-performance computing. Emphasis is placed on hands-on labs, collaborative projects and communicating quantitative results clearly.

Entry requirements

Applicants should have a high school diploma (or equivalent) with a solid background in mathematics, typically including pre-calculus and calculus where available. Successful candidates demonstrate proficiency in algebra, geometry and problem solving; coursework in computer science is advantageous but not mandatory.

• Submission of official high-school transcripts is required; Alvernia reviews academic preparation holistically.
• Standardised test submission policies may vary; consult the university for current guidance regarding SAT/ACT.
• Students transferring from other institutions should provide college transcripts and may have the opportunity to transfer credits for relevant coursework.
• Placement assessments in mathematics or introductory programming may be used to determine the appropriate course sequence.

Career prospects

Graduates with a computational mathematics degree are prepared for a broad range of careers where quantitative analysis and computing intersect. Common entry-level roles include data analyst, quantitative analyst, software developer, operations research analyst and mathematical modeller.

• Work in technology, finance, healthcare analytics, engineering firms, government agencies and consulting.
• Support for careers in data science and machine learning through relevant electives and project experience.
• Preparation for professional certifications such as actuarial exams or for graduate study (MSc/PhD) in mathematics, statistics, computer science or engineering.
• Opportunities to move into research, product development or technical leadership with additional experience or advanced degrees.

Why study at Alvernia University

Alvernia offers a liberal-arts grounded approach with small class sizes, close faculty mentoring and accessible research and internship opportunities. The mathematics faculty focus on undergraduate teaching and provide guided projects that let students apply computational methods to real-world problems.

• Hands-on learning in computing labs and access to modern numerical and data-analysis tools.
• Personalised academic advising and support for internships, cooperative experiences and graduate school preparation.
• Opportunities for interdisciplinary collaboration across science, business and healthcare programmes on campus and with regional partners.
• A capstone or research project that enhances a student’s portfolio for employers or graduate applications.