Maj
Min

Mathematics

About

Be more than just a number as a St. Mike’s mathematics major. Math professors here are very proactive mentors. Through classroom discussions, out-of-class meetings, departmental social events, phone calls, and e-mails, we share our passion for learning to help you make the most of your education. The required courses provide a strong foundation in the principal areas of mathematics while the electives offer an opportunity to tailor the program to individual needs. If you’re interested in a particular field, we’ll connect you with alumni working in those areas. Beginning your first year, we’ll inform and advise you about valuable enrichment opportunities such as research programs, conferences, and study abroad.

Our math majors have opportunities to conduct and present research not only with their professors on campus, but also with students and faculty from around the country, and even around the world.

The major is designed to encompass diverse goals ranging from applied work in science or industry to teaching or graduate study. Along with pursuing the math major at Saint Michael’s, you can choose to minor or double major in another field. Many mathematics majors here also take courses in education, economics, computer science, engineering, as well as the lab sciences. We believe a background in mathematics will help you master the challenges that you will face in your future career. If you enjoy working on mathematics, please come join us and let us help you explore your interests and make the most of your education.

Sample Four Year Plan for Math Majors

Fall
Calculus I
Introduction to Computer Science
First Year Seminar
Liberal Studies course

Spring
Calculus II
Applied Graph Theory
Liberal Studies course
Liberal Studies course

Fall
Calculus III
Linear Algebra
College Physics I
Liberal Studies course

Spring
Introduction to Mathematical Proof
Probability and Statistics
Liberal Studies course
Elective

Fall
Complex Analysis
Real Analysis I
Junior Seminar
Elective

Spring
Differential Equations
Real Analysis II
Elective
Elective

Fall
Advanced Topics in Mathematics
Abstract Algebra I
Electives

Spring
Abstract Algebra II
Seminar in Mathematics
Electives

In Depth

Our faculty members have a wide range of expertise and interests: applied graph theory, computation theory, differential equations and mathematical modeling, mathematics education, number theory, and statistics. That allows you to investigate diverse topics in pure and applied mathematics. You’ll have opportunities to conduct and present research with professors on campus and with students and faculty from all around the country and even around the world.

Some recent student experiences:

  • Several of our students have had papers published in the Rose-Hulman Undergraduate Mathematics Journal.
  • Two Saint Michael’s students collaborated with students from Pennsylvania, California, and Texas on a study to see how answering machines can correctly identify unknown words.
  • One of our students participated in the prestigious Budapest program for mathematics in a semester abroad experience.
  • At the University of Georgia, one of our students explored the mathematics behind the folding models of Origami.
  • Another group of students analyzed a set of signatures using Fourier analysis and wavelet decomposition to distinguish which signatures were forged.
  • Back on the Saint Michael’s campus, a group of students used graph theory and geometry to provide optimal design strategies for self-assembling DNA nanostructures.
  • One of our students was selected to help research the feasibility of designing a system capable of transferring from a low Earth orbit to a lunar orbit and possibly landing on the Moon.

By taking part in a research experience, you will have the chance to present and publish your work, as some of our students have done. Recent examples include the American Journal of Undergraduate Research and the Journal of Applied Mathematics.

At St. Mike’s, every class is taught by highly credentialed professors who know you by name. Many professors use classroom technology to capture their classes for students to review. To see an example, watch this lecture on Complex Analysis given by mathematics professor George Ashline.

Math Learning Outcomes 

Special Opportunities

You’ll have the chance to become involved in research both on and off campus. Several projects enable students to participate in and present their work at academic and professional conferences on campus and around the country. (See specific examples under “What You’ll Learn”). Student research topics have included origami, Galois groups, computer chip layouts, DNA nanostructures, space robotics, HIV infection models, and professional soccer league possession analysis.

Some of our students have been able to research, study, and present at such schools and venues as Brigham Young University, Mathematical Association of America meetings such as the summer MathFest, and the NASA Goddard Space Flight Center.

Our students and faculty have received grants and funding for their research from the Vermont Consortium for Language and Academics, The Vermont Genetics Network, The Louisville Institute, Vermont EPSCoR, National Security Agency, NASA, the National Science Foundation and other comparable agencies.

Present at HRUMC, a great regional undergraduate conference

Most of our majors participate in the annual Hudson River Undergraduate Mathematics Conference (HRUMC). This one-day conference celebrates undergraduate mathematics research with students and faculty from across the Northeast, and provides students with the experience of attending and presenting at a professional mathematics meeting. There are also exciting plenary talks by nationally renowned mathematicians, and career and graduate school panel discussions. This is a great opportunity to meet a wide range of other students also excited about mathematics. Each year, several of our students present their advanced work in mathematics, computer science, statistics, and more.

Take advantage of summer learning opportunities

Many of our students take part in Research Experience for Undergraduates (REU) programs over the summer. These opportunities enable our students to learn the fundamentals of mathematics research and to explore the many applications of math in the real world. Our students have recently participated in programs at Texas A&M, University of Georgia, George Washington University, Northern Arizona University, Claremont Colleges, and Princeton University/the Institute for Advanced Study.

Learn from presentations by visiting math experts

We host a variety of talks and lectures by distinguished guests and alumni as a part of our regular Colloquium Series. Some recent titles include: “Counting Self-Intersection Points of Loops on Surfaces,” “Symmetry and the Monster: Mathematics as the Ultimate Complex System,” “Graphs and Symmetry,” “Differences in Global Mathematics Education,” “Mathematics of Juggling”, “Chaos and the Mathematics of Prediction,” and “The Shape of Space.” Our Alumni Panels offer the chance for our math students to hear from and talk with math alumni who are using their degrees in different ways. Panelists share their career paths and/or graduate school experience, and give advice to students. Saint Michael’s also co-hosts a joint Combinatorics Seminar Series with the University of Vermont that brings together academic and industry researchers to discuss the theory and applications of combinatorics.

Become a member of Pi Mu Epsilon

Saint Michael’s is home to the Vermont Alpha Chapter of Pi Mu Epsilon (PME), the National Mathematics Honors Society. PME currently has over 340 chapters at colleges and universities throughout the United States. Math students who meet the requirements can be inducted into the society during their junior or senior year. We have regular events, such as an annual induction ceremony and reception, special speakers, and recognition at graduation.

Take seminars and special topics courses in mathematics

Our spring semester math seminar courses offer opportunities to study and present on compelling topics in the math field. Our two most recent seminars focused on environmental issues related to water and the mathematics of games. Our fall semester special topics courses provide the opportunity to study mathematical fields not considered in our normal course sequence. Future topics planned are topology, graph theory, and population dynamics.

Careers

Mathematics majors are attractive to a wide variety of business and industrial firms, especially if the major is combined with some coursework in computer science, a natural science, economics or business; many find work in the actuarial field or as analysts in the computer or communications industry. You might prepare to teach at the secondary school level by simultaneously completing education courses, including a semester of student teaching, which leads to state certification.

Here are two sites that give excellent overviews of career options for mathematics majors and minors:

Many of our students go directly into the work force upon graduation. IBM, Pfizer, UBS, Travelers Insurance, the NSA, and Liberty International Underwriters are just a few of the companies at which Saint Michael’s math alumni now work. Our graduates are computer analysts, actuaries, consultants, and high school math teachers. They are also college professors, administrators, and researchers at places like UMass, UVM, and Sandia National Labs.

A number of our students pursue advanced degrees. As a math major at Saint Michael’s, you can prepare for graduate programs in pure or applied mathematics or in statistics. You can also prepare for medical school, law school, or graduate work in mathematics intensive fields such as bioinformatics or economics by combining the math major with other Saint Michael’s courses in education, computer science, a natural science, economics or business.

Our graduates excel in a range of professional fields including:

  • Business, Finance, and Investment Banking
  • Accounting and Tax Services
  • Mathematics Education
  • Actuarial Analysis
  • Medical School
  • Computer Science and Software Development
  • Data and Statistical Analysis
  • Operations and Administration
  • Research and Development
  • Careers in mathematics intensive fields such as bioinformatics and economics

Our alumni attend graduate school in mathematics, statistics, and other fields at the University of Minnesota, Clarkson University, Colorado State University, North Carolina State University, the University of Notre Dame, the University of Maine, and the University of Vermont, to name only a few.

Many graduates of the Mathematics Department are rapidly advancing in their careers and educational skills. See the Alumni Spotlights tab above for featured alumni career descriptions and reflections how their Saint Michael’s education has prepared them for their professions.

In Depth

Our faculty members have a wide range of expertise and interests: applied graph theory, computation theory, differential equations and mathematical modeling, mathematics education, number theory, and statistics. That allows you to investigate diverse topics in pure and applied mathematics. You’ll have opportunities to conduct and present research with professors on campus and with students and faculty from all around the country and even around the world.

Some recent student experiences:

  • Several of our students have had papers published in the Rose-Hulman Undergraduate Mathematics Journal.
  • Two Saint Michael’s students collaborated with students from Pennsylvania, California, and Texas on a study to see how answering machines can correctly identify unknown words.
  • One of our students participated in the prestigious Budapest program for mathematics in a semester abroad experience.
  • At the University of Georgia, one of our students explored the mathematics behind the folding models of Origami.
  • Another group of students analyzed a set of signatures using Fourier analysis and wavelet decomposition to distinguish which signatures were forged.
  • Back on the Saint Michael’s campus, a group of students used graph theory and geometry to provide optimal design strategies for self-assembling DNA nanostructures.
  • One of our students was selected to help research the feasibility of designing a system capable of transferring from a low Earth orbit to a lunar orbit and possibly landing on the Moon.

By taking part in a research experience, you will have the chance to present and publish your work, as some of our students have done. Recent examples include the American Journal of Undergraduate Research and the Journal of Applied Mathematics.

At St. Mike’s, every class is taught by highly credentialed professors who know you by name. Many professors use classroom technology to capture their classes for students to review. To see an example, watch this lecture on Complex Analysis given by mathematics professor George Ashline.

Math Learning Outcomes 

Special Opportunities

You’ll have the chance to become involved in research both on and off campus. Several projects enable students to participate in and present their work at academic and professional conferences on campus and around the country. (See specific examples under “What You’ll Learn”). Student research topics have included origami, Galois groups, computer chip layouts, DNA nanostructures, space robotics, HIV infection models, and professional soccer league possession analysis.

Some of our students have been able to research, study, and present at such schools and venues as Brigham Young University, Mathematical Association of America meetings such as the summer MathFest, and the NASA Goddard Space Flight Center.

Our students and faculty have received grants and funding for their research from the Vermont Consortium for Language and Academics, The Vermont Genetics Network, The Louisville Institute, Vermont EPSCoR, National Security Agency, NASA, the National Science Foundation and other comparable agencies.

Present at HRUMC, a great regional undergraduate conference

Most of our majors participate in the annual Hudson River Undergraduate Mathematics Conference (HRUMC). This one-day conference celebrates undergraduate mathematics research with students and faculty from across the Northeast, and provides students with the experience of attending and presenting at a professional mathematics meeting. There are also exciting plenary talks by nationally renowned mathematicians, and career and graduate school panel discussions. This is a great opportunity to meet a wide range of other students also excited about mathematics. Each year, several of our students present their advanced work in mathematics, computer science, statistics, and more.

Take advantage of summer learning opportunities

Many of our students take part in Research Experience for Undergraduates (REU) programs over the summer. These opportunities enable our students to learn the fundamentals of mathematics research and to explore the many applications of math in the real world. Our students have recently participated in programs at Texas A&M, University of Georgia, George Washington University, Northern Arizona University, Claremont Colleges, and Princeton University/the Institute for Advanced Study.

Learn from presentations by visiting math experts

We host a variety of talks and lectures by distinguished guests and alumni as a part of our regular Colloquium Series. Some recent titles include: “Counting Self-Intersection Points of Loops on Surfaces,” “Symmetry and the Monster: Mathematics as the Ultimate Complex System,” “Graphs and Symmetry,” “Differences in Global Mathematics Education,” “Mathematics of Juggling”, “Chaos and the Mathematics of Prediction,” and “The Shape of Space.” Our Alumni Panels offer the chance for our math students to hear from and talk with math alumni who are using their degrees in different ways. Panelists share their career paths and/or graduate school experience, and give advice to students. Saint Michael’s also co-hosts a joint Combinatorics Seminar Series with the University of Vermont that brings together academic and industry researchers to discuss the theory and applications of combinatorics.

Become a member of Pi Mu Epsilon

Saint Michael’s is home to the Vermont Alpha Chapter of Pi Mu Epsilon (PME), the National Mathematics Honors Society. PME currently has over 340 chapters at colleges and universities throughout the United States. Math students who meet the requirements can be inducted into the society during their junior or senior year. We have regular events, such as an annual induction ceremony and reception, special speakers, and recognition at graduation.

Take seminars and special topics courses in mathematics

Our spring semester math seminar courses offer opportunities to study and present on compelling topics in the math field. Our two most recent seminars focused on environmental issues related to water and the mathematics of games. Our fall semester special topics courses provide the opportunity to study mathematical fields not considered in our normal course sequence. Future topics planned are topology, graph theory, and population dynamics.

Careers

Mathematics majors are attractive to a wide variety of business and industrial firms, especially if the major is combined with some coursework in computer science, a natural science, economics or business; many find work in the actuarial field or as analysts in the computer or communications industry. You might prepare to teach at the secondary school level by simultaneously completing education courses, including a semester of student teaching, which leads to state certification.

Here are two sites that give excellent overviews of career options for mathematics majors and minors:

Many of our students go directly into the work force upon graduation. IBM, Pfizer, UBS, Travelers Insurance, the NSA, and Liberty International Underwriters are just a few of the companies at which Saint Michael’s math alumni now work. Our graduates are computer analysts, actuaries, consultants, and high school math teachers. They are also college professors, administrators, and researchers at places like UMass, UVM, and Sandia National Labs.

A number of our students pursue advanced degrees. As a math major at Saint Michael’s, you can prepare for graduate programs in pure or applied mathematics or in statistics. You can also prepare for medical school, law school, or graduate work in mathematics intensive fields such as bioinformatics or economics by combining the math major with other Saint Michael’s courses in education, computer science, a natural science, economics or business.

Our graduates excel in a range of professional fields including:

  • Business, Finance, and Investment Banking
  • Accounting and Tax Services
  • Mathematics Education
  • Actuarial Analysis
  • Medical School
  • Computer Science and Software Development
  • Data and Statistical Analysis
  • Operations and Administration
  • Research and Development
  • Careers in mathematics intensive fields such as bioinformatics and economics

Our alumni attend graduate school in mathematics, statistics, and other fields at the University of Minnesota, Clarkson University, Colorado State University, North Carolina State University, the University of Notre Dame, the University of Maine, and the University of Vermont, to name only a few.

Many graduates of the Mathematics Department are rapidly advancing in their careers and educational skills. See the Alumni Spotlights tab above for featured alumni career descriptions and reflections how their Saint Michael’s education has prepared them for their professions.