Mathematics and Statistics
The goal of the Mathematics and Statistics Department is to enable students to analyze and organize information using quantitative and statistical tools, to reason and argue logically, to employ appropriate problem-solving strategies, and to communicate complex ideas clearly and efficiently.
About the Major
Ancient thinkers recognized mathematics as the language of the natural world. Today we know it drives science and social science, business and industry, even art and design. Math majors at Hamilton explore both the abstract, theoretical aspects of mathematics and its applications to a variety of topics. The curriculum delves into the many branches of math, and courses foster deductive reasoning, persuasive writing, and analytical and quantitative problem-solving. Those who love math will find themselves among like-minded peers and mentors, talking shop outside their professors' offices and producing research that they may present at a professional conference. The department also offers a minor in statistics.
Students Will Learn To:
- Use mathematical and/or statistical tools to model real-world problems
- Construct mathematical proofs based on rules of logical inference
- Communicate complete mathematical and/or statistical arguments
A Sampling of Courses
Graph Theory
An introduction to the theory and applications of graph theory. Topics include: trees; connectivity; Eulerian and Hamiltonian graphs; vertex-, edge- and map-colorings; digraphs; tournaments; matching theory; planarity and Ramsey numbers.
Explore these select courses:
This course covers statistical methods in machine learning such as decision trees, random forests and support vector machines The course will use a project-based approach to give students hands-on experience using these techniques by analyzing large and complex real-world datasets. More importantly, they will learn the statistical principles behind these procedures, such as loss functions, maximum likelihood estimation and bias-variance trade-off as well as why these principles matter in real world settings.
Number theory is the study of the properties of the positive integers. Topics include divisibility, congruences, quadratic reciprocity, numerical functions, Diophantine equations, continued fractions, distribution of primes. Applications will include cryptography, the practice of encrypting and decrypting messages, and cryptanalysis, the practice of developing secure encryption and decryption protocols and probing them for possible flaws. Speaking Intensive.
Meet Our Faculty
discrete mathematics, particularly graph theory and combinatorial optimization, with a secondary teaching interest in philosophy of mathematics
graph theory, graph symmetries, geometric graph theory, combinatorics
uncertainty quantification, probabilistic modeling and simulation, mathematical biology, and high-performance computing
low dimensional topology; knot theory; Heegaard Floer homology; differential geometry; contact geometry
dynamical systems, symbolic dynamics, and ergodic theory
commutative algebra, homological algebra, and applied algebra
analysis and commutative Banach algebras
nonparametric density estimation and quantile regression models
dynamical systems and topological dynamics
statistics/probability, partial differential equations, determining forms
low dimensional topology, knot theory, fractal geometry and chaos theory
Timothy Kelly
Samuel F. Pratt Professor of Mathematics and Statistics Emeritus (retired)
mathematical education; probability, statistics, stochastic processes and pre-calculus; and probabilistic and statistical reasoning
statistics, linear algebra, mathematical modeling, computer-augmented learning, and algebra
lattice-ordered fields, rings and groups, vector lattices and ordered topological spaces
Explore Hamilton Stories
Gordon ’22 to Teach at Shady Hill School, Pursue M.S. Education
After realizing the many possible paths of a math major, Gordon will graduate with a degree in mathematics, and intends to use that degree as he works to become a middle school math teacher.
James Mondi ’22 on the Job at Bank of America
James Mondi ’22 graduated in December and is already working as an operations senior analyst at Bank of America in New York City. He shared some advice about the job search and how Hamilton helped prepare him for the position.
Putnam Exam No Problem for Mathletics Team
The Putnam is the preeminent math competition for undergraduates in the United States and Canada, and took the form of a six-hour written exam, which the team had trained for throughout the semester.
Careers After Hamilton
Hamilton graduates who majored in mathematics are pursuing careers in a variety of fields, including:
- Financial Analyst, The New York Times
- Resident Physician, Westchester Medical Center
- Business Analyst, Federal Reserve Bank of New York
- Professor of Industrial Engineering, Northeastern University
- Software Engineer, Mitre Corp.
- Legal Analyst, Department of Justice
- Actuarial Analyst, GEICO
- Math Teacher, Midlakes High School
- Infectious Disease Epidemiologist, UNC Gillings School of Global Public Health
Contact
Department Name
Mathematics and Statistics Department
Clinton, NY 13323
