Debra Boutin's mathematical interests include graph theory, geometric graph theory and group theory.
Mathematics and Statistics
The curriculum delves deeply into a wide range of the many and varied branches of mathematics. As a math lover at Hamilton, you’ll find yourself congregating with like-minded peers, talking shop outside your professors’ offices in CJ. You’ll learn within a curriculum that delves deeply into the many branches of math and take courses that foster deductive reasoning, persuasive writing and analytical and quantitative problem-solving.
About the Major
Students explore both the abstract, theoretical aspects of math and its applications to a variety of topics. Working closely with professors, many students produce work that they go on to present at a professional conference. Mathematics is both a popular major and a crucial part of Hamilton’s broader liberal arts curriculum. Statistics is a minor within the department.
I don’t live and breathe what I majored in. However, there’s no doubt in my mind that my Hamilton education was integral in preparing me to do all of the types of things I do today…Hamilton prepared me in so much as it taught me to think.
Mark Kasdorf — math major
Ancient thinkers recognized that mathematics was the language of the natural world. Today we recognize that it is also the language of science and social science, of business, commerce and industry, even of art and design. Doing math can be as simple as executing a computer search and as momentous as planning a mass evacuation or tracing a disease epidemic, and it assumes ever-greater importance in our lives.
Careers After Hamilton
- 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
- Data Miner/Predictive Modeler, Verizon Communications
- Math Teacher, Midlakes High School
Linear Algebra 224FS
An introduction to linear algebra: matrices and determinants, vector spaces, linear transformations, linear systems and eigenvalues; mathematical and physical applications. Writing-intensive. Quantitative and Symbolic Reasoning.View All Courses
An introduction to point set topology, a foundational topic for much of modern mathematics. We will cover topological spaces, separation axioms, quotient spaces, compactness, connectedness, path connectedness, and homotopy. In the last part of the course we will cover the fundamental group, the most basic algebraic topological invariant. Quantitative and Symbolic Reasoning. Oral Presentations.View All Courses
Graph Theory 322S
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. Quantitative and Symbolic Reasoning.View All Courses
Partial Differential Equations 337S
Theory and applications of partial differential equations. Topics include separation of variables, Fourier series and transforms, and the Laplace, heat and wave equations. Quantitative and Symbolic Reasoning.View All Courses
Statistical Theory and Computation 352S
Study of the mathematical theory underlying classical and modern techniques in statistics, including implementation and visualization in the statistical programming language R. Topics include linear models and regression, randomization and bootstrap, Monte Carlo methods and sampling, Bayesian statistics, and topics in applied statistical modeling. Quantitative and Symbolic Reasoning.View All Courses
Number Theory and Applications 361S
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. Quantitative and Symbolic Reasoning.View All Courses
Connections and Careers
Taking Risks, Starting an Actuarial Career
Research and Discovery
Sheng’s ’21 Summer Research: Predicting Coronavirus Infection Rates
When Summer Sheng ’21 returned to campus last spring, COVID-19 had just begun to make international headlines. As a math major considering pursuing a graduate degree in applied mathematics, it didn’t take him long to realize that a pandemic-based project would be relevant to both the emerging crisis and to him personally.
Connections and Careers
Seeing the Health Care Profession Through the Eyes of a Medical Scribe
Shaq Levy ’20 likens his new job as a medical scribe at CityMD, an urgent care walk-in center in Manhattan, to speed dating. “Each patient comes in, you build a rapport with them, get their medical history, the reason they are coming in today, and ask more questions about their complaint,” Levy said.