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Project Ideas for Master of Science in Applied Mathematics

Harness advanced modeling to solve interdisciplinary challenges.

🏛 Introduction

UNC’s MS in Applied Mathematics merges rigorous analysis with computational prowess. Students simulate fluid-structure interactions on GPU clusters, develop stochastic models for epidemiology, and collaborate with NASA’s Langley on orbital-mechanics optimization. Cross-listed electives in Machine Learning, Bioinformatics, and Quantitative Finance empower graduates for PhD study or R&D leadership.

💡 Suggested Project Titles

Finite-element code for cardiac electromechanics simulation

Agent-based wildfire-spread model validated with satellite data

Stochastic differential-equation model of option pricing under jumps

Deep-learning surrogate compressing CFD solutions

Optimal-control strategy for COVID booster allocation

Topological data-analysis pipeline identifying protein cavities

GPU-accelerated solver for tsunami propagation equations

Grant proposal for open-source math packages in Julia

VR visualization of four-dimensional dynamical systems

White paper on uncertainty quantification in climate models

Knot-theory exploration informing DNA supercoiling research

Workshop teaching reproducible math-code workflows

Podcast demystifying math behind AI image synthesis

Infographic comparing solver convergence rates

Cryptanalysis study on lattice-based post-quantum schemes

UNC-Chapel Hill – MS in Applied Mathematics

Model, compute, and innovate across science, engineering, and finance.

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