Caltech’s program in Applied and Computational Mathematics empowers students to tackle physical, biological, and engineering problems through mathematical modeling and computational tools. These projects span across disciplines such as physics, data science, cryptography, and engineering.
Numerical Simulation of Heat Diffusion Using Finite Difference Methods
Machine Learning Algorithms for Predictive Modeling in Finance
Computational Fluid Dynamics: Simulating Airflow Around an Object
Solving Partial Differential Equations with Finite Element Analysis
Optimization Algorithms in Network Flow Problems
Graph Theory Applications in Epidemiology Spread Modeling
Mathematical Modeling of Predator-Prey Ecosystems
Parallel Algorithms for Large-Scale Matrix Computations
Cryptographic Algorithms and Security Protocol Simulations
Mathematical Analysis of Quantum Computing Algorithms
Neural Network Optimization for Pattern Recognition
Simulation of Traffic Flow Using Nonlinear Dynamics
Stochastic Models in Population Genetics
Wave Equation Solutions in Acoustics and Seismology
Fractal Geometry Applications in Image Compression
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