Why Study Mathematics at New College?

Mathematics at New College is challenging and exciting. Working closely with faculty mentors, you will have the opportunity to actively participate in your own education, and by your senior year you will be taking advanced coursework more typically found at the master's level rather than undergraduate.

Mathematics area of concentration

The Mathematics Area of Concentration at New College is both challenging and exciting. Students are exposed to a broad range of mathematical disciplines from linear and abstract algebra to analysis and differential equations. They develop strong critical thinking and problem solving skills, the ability to produce rigorous mathematical proofs, and a deep understanding of powerful mathematical theories having many applications as well as their own internal beauty. A variety of courses and tutorials on advanced topics are available, giving majors the opportunity to work on advanced material often found in graduate school offerings.

See also Applied Mathematics

View Mathematics Academic Learning Compact

View Mathematics courses offered in last 5 years

 

Area of Concentration Requirements

The core program for students electing a major in mathematics includes:

  • Three semesters of Calculus
  • Linear Algebra and Advanced Linear Algebra
  • Differential Equations
  • Two semesters of Abstract Algebra
  • Two semesters of Real Analysis
  • Complex Analysis
  • Three semesters of Math Seminar
  • A thesis in mathematics

In addition, students are encouraged to take courses and tutorials in topology, discrete mathematics, graph theory, probability, geometry, and number theory, as well as computer science and other sciences. Finally, students are applauded for forays into other liberal arts courses in the humanities and social sciences.

An essential element of the mathematics program is participation in the Math Seminar, a longstanding New College tradition. Offered every semester, this seminar provides a forum for math majors as well as nonmajors to present a talk on a mathematically-related topic to an audience of students and the math faculty. One of the most important roles of the Math Seminar has been to build a sense of community in the program in addition to honing students’ communication skills.

Students majoring in mathematics are encouraged to participate in summer research programs.

Joint Disciplinary AOC Requirements

For students interested in a slash (minor) in mathematics, the minimum requirements are:

  • Calculus I and II
  • Differential Equations or Calculus III
  • Linear Algebra
  • Two semesters of the following: Abstract Algebra I and II, Real Analysis I and II.
  • One semester of Math Seminar

Faculty

Recent Theses

  • The Heat Content of Triangles
  • Lorentz Violation in the Collective Excitations of Condensates
  • Knot Theory and the Alexander Polynomial
  • More Rings More Problems: A Discussion of Number Fields for Homomorphic Cryptography
  • Mathematical Linguistics: The Pumping Lemma and Classification of Natural Languages
  • The Stability of Theories from Categoricity to their Spectrum
  • Methods in Tiling with subsets of Zn
  • Group Ring Cryptography

Careers of Mathematics Graduates

Professor of Mathematics
State College of Florida

Mathematics Instructor
Phillips Exeter Academy, Exeter, New Hampshire

Research Scientist
USDA, Albany, California

SAMPLE PATHWAYS to complete AOC Requirements

These pathways show how you could complete the AOC requirements within four years at New College or within two years after earning an associate’s degree. Please consult with your academic adviser to determine the most appropriate courses for your area of concentration.