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Mathematics Project Ideas for MIT UG Students

Explore cutting-edge mathematics projects that intersect pure theory and real-world applications, from number theory to machine learning models.

📐 Introduction

The undergraduate Mathematics program at MIT emphasizes analytical thinking, logical reasoning, and problem-solving across a wide spectrum of real and abstract domains. These projects cover core branches of mathematics as well as applications in data science, cryptography, modeling, and computation.

➗ Project Ideas

Prime Number Distribution and Riemann Hypothesis Visualization

Graph Theory Applications in Social Network Analysis

Cryptographic Protocols Using Modular Arithmetic

Optimization Algorithms for Scheduling Problems

Mathematical Modeling of Epidemic Spread

Fractal Geometry and Chaos Theory in Nature

Probability Distributions in Machine Learning Models

Linear Algebra Applications in Image Compression

Game Theory in Economic Strategy Design

Analysis of Fibonacci Series in Financial Markets

Topology and Its Role in Robotics Motion Planning

Mathematical Proof Assistant Using Natural Language Input

Monte Carlo Simulations for Risk Management

Mathematics Behind Neural Networks and Backpropagation

P vs NP Problem and Its Real-World Implications

Fourier Series and Sound Wave Analysis

Mathematical Cryptanalysis of Classical Ciphers

Combinatorial Optimization in Logistics

Matrix Factorization Techniques for Recommendation Systems

Dimensionality Reduction Using PCA and t-SNE

Discrete Mathematics in Circuit Design

Mathematical Modeling of Climate Change Trends

Knot Theory Applications in DNA Structure Analysis

Algebraic Geometry in Computer Vision

Probability Trees in Decision-Making Frameworks

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