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Dissertation Topics for Bachelor of Science in Mathematics

Explore research in mathematics, algorithms, and mathematical modeling at the University of Michigan.

🌍 Introduction

The Bachelor of Science in Mathematics at the University of Michigan provides students with a solid foundation in both pure and applied mathematics. Students engage in diverse mathematical topics and develop analytical problem-solving skills applicable across multiple industries.

📘 Suggested Research Topics

Mathematical Foundations of Cryptography: Applications in Modern Security

Advanced Topics in Real Analysis: Investigating the Foundations of Calculus

The Role of Algebraic Geometry in Modern Physics

Mathematical Modeling in Finance: Optimization and Portfolio Theory

Statistics in Medicine: Designing Effective Clinical Trials

Combinatorics and Graph Theory: Applications in Network Design

Mathematics of Machine Learning: Exploring Algorithms and Models

Mathematical Solutions to Climate Change: Modelling Environmental Systems

Optimization in Operations Research: Applying Mathematics to Logistics

Mathematical Logic and Its Applications in Computer Science

Number Theory: The Search for Prime Numbers and Their Applications

The Geometry of Surfaces: A Study of Curvature and Topology

Mathematics of Data Science: Understanding Big Data Algorithms

Linear Algebra and Its Applications in Engineering

Differential Equations and Their Use in Modeling Biological Systems

Mathematics in Quantum Computing: Exploring the Complexity of Computation

The Pythagorean Theorem and Its Influence on Modern Geometry

Exploring the Role of Mathematical Proofs in Developing New Theories

Game Theory and Strategic Decision Making in Economics and Politics

Graph Theory: Analyzing the Structure of Complex Networks

Mathematical Applications in Artificial Intelligence and Robotics

Mathematical Methods in Image Processing and Computer Vision

Mathematics in Artificial Neural Networks: Optimizing Deep Learning

Mathematics of Voting Systems: Fairness and Decision Making

Applications of Functional Analysis in Quantum Mechanics

Mathematics and Music: Analyzing Sound Waves and Harmonics

The Role of Topology in Understanding the Universe and Space-Time

Mathematics in Architecture: Designing with Precision and Symmetry

University of Michigan – Mathematics Program

The Bachelor of Science in Mathematics at the University of Michigan prepares students for careers in fields that demand strong analytical and quantitative skills. The program focuses on both theoretical aspects of mathematics and its practical applications.

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