Columbia University’s Applied Mathematics program bridges theoretical insight with practical implementation. These research ideas equip students to solve real-world problems in physics, biology, finance, and engineering through advanced mathematical modeling and computation.
Numerical Methods for Solving Partial Differential Equations
Mathematical Modeling of Infectious Disease Spread
Optimization Algorithms for Supply Chain Logistics
Computational Fluid Dynamics in Aerodynamic Design
Wave Propagation in Heterogeneous Media
Mathematical Foundations of Cryptography and Encryption
Machine Learning Algorithms for Predictive Modeling
Chaos Theory and Its Application to Weather Forecasting
Image Processing Using Fourier Transform Techniques
Mathematical Modeling of Urban Traffic Flow
Financial Derivatives Pricing Using Stochastic Calculus
Analysis of Nonlinear Dynamical Systems in Biology
Control Theory Applications in Autonomous Vehicles
Heat Transfer Equations and Thermal System Modeling
Numerical Stability in High-Performance Computing Simulations
Sensitivity Analysis in Climate Change Models
Multi-Objective Optimization in Engineering Design
Game Theory and Strategic Decision-Making Models
Mathematics Behind Neural Networks and Backpropagation
Dimensional Analysis in Physical System Simulations
Collexa supports applied math students with MATLAB, Python, LaTeX documentation, simulation workflows, numerical analysis, and final report formatting.
Whether it's Machine Learning, Data Science, or Web Development, Collexa is here to support your academic journey.
"Collexa transformed my academic experience with their expert support and guidance."
Computer Science Student
Reach out to us for personalized academic assistance and take the next step towards success.
