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Project Ideas for Master of Science in Applied Mathematics

Modeling and computation for complex real-world systems.

🏛 Introduction

UC’s MS in Applied Mathematics develops expertise in differential equations, numerical analysis, and optimization, preparing graduates for careers in research, finance, tech, and engineering.

💡 Suggested Project Titles

PDE model simulating wildfire spread under variable wind fields

Optimization algorithm for equitable vaccine-distribution logistics

Spectral method solver accelerating quantum-chemistry calculations

Stochastic differential model of cryptocurrency price dynamics

Finite-element simulation of earthquake-induced soil liquefaction

Machine-learning-enhanced multigrid methods for climate models

Game-theoretic resource allocation in edge-computing networks

Inverse-problem approach to medical-image reconstruction in MRI

Combinatorial algorithm scheduling satellite constellations for Earth observation

Numerical bifurcation analysis of epidemiological compartment models

Data-driven reduced-order models for turbulence in wind-farm flow

Graph-theory study optimizing power-grid resilience to cascading failures

Hybrid neural-PDE solver for battery-degradation prediction

Monte-Carlo method estimating financial risk under heavy-tail returns

Topology optimization of lightweight aerospace truss structures

Mathematical model of crowd dynamics in emergency evacuations

Sparse-matrix library benchmarking on GPU clusters

Control-theory design for autonomous drone swarm formation

Markov-chain analysis of ecological metapopulation stability

Workshop series teaching open-source math software to local schools

University of California – MS in Applied Mathematics

Solve big problems with UC’s mathematically rigorous MS.

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