Mathematics Curriculum

View the requirements for an AOC in Mathematics and see sample pathways to graduation.

VIEW MATHEMATICS ACADEMIC LEARNING COMPACT

VIEW MATHEMATICS COURSES OFFERED IN LAST 5 YEARS

Area of Concentration Requirements

The minimum requirements for an AOC in Mathematics:

  • Calculus I, II, and III
  • Linear Algebra OR Advanced Linear Algebra
  • Ordinary Differential Equations
  • Probability (I and II, one module each)
  • Real Analysis I
  • Abstract Algebra I
  • Two Disciplinary Electives (Mathematics courses numbered 3000+, including for example Real Analysis II, Abstract Algebra II, Complex Analysis, Advanced Linear Algebra, Partial Differential Equations, Numerical Methods, Mathematical Modeling, Number Theory, Graph Theory, an Advanced Topic Course, etc)
  • One programming class (any introductory CS language course)
  • Three semesters of Math Seminar
  • A thesis in mathematics

Students majoring in mathematics are encouraged to participate in summer research programs, and students interested in applying to mathematics graduate schools are strongly advised to take Real Analysis II, Abstract Algebra II, and Complex Analysis.

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. Anyone is welcome to attend.

Secondary Area Requirements

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

  • Calculus I and II
  • Calculus III OR Ordinary Differential Equations
  • Linear Algebra
  • Real Analysis I OR Abstract Algebra I
  • One Disciplinary Elective
  • One semester of Math Seminar

Sample 4 Year Pathway

 Fall TermJanuary ISPSpring Term
Year 1
  • Calculus I (LAC)
  • General College Elective
  • LAC course 1
  • LAC course 2
  • ISP #1
  • Calculus II
  • General College Elective
  • LAC course 3
  • LAC course 4
Year 2
  • Calculus III
  • General College Elective
  • Differential Equations
  • LAC course 5
  • ISP #2
  • Linear Algebra (LAC)
  • General College Elective
  • Math seminar (1)
  • LAC course 6
Year 3
  • Abstract Algebra I*
  • General College Elective
  • Math Seminar (2)
  • ISP #3
  • Abstract Algebra II*
  • General College Elective
  • Complex Analysis*
  • Advanced Linear Algebra*
Year 4
  • Real Analysis I*
  • Math Seminar (3)
  • Thesis
 
  • Real Analysis II*
  • Thesis

Notes:
1) Many students come in with some calculus and start with Calculus II or III. What is represented here is the maximal path (which takes 8 semesters)
2) Starred courses are on a 2 year rotation. This path assumes starting in Fall of an even year

Sample 2 Year Transfer Pathway

 Fall TermJanuary ISPSpring Term
Year 3
  • Abstract Algebra I*
  • Math Seminar
  • General College Elective
ISP #1
  • Abstract Algebra II*
  • General College Elective
  • Complex Analysis*
  • Advanced Linear Algebra*
Year 4
  • Real Analysis I*
  • Math Seminar
  • Thesis
  • General College Elective
  • ISP #2
  • Real Analysis II*
  • Math Seminar
  • Thesis

 

Notes: this path is fairly advanced, and may not be realistic for all transfer students
1) This assumes the transfer student already has credit for Calc I, II and III, Linear Algebra, and Differential Equations
2) In practice, the level at which AA students have taken the basic courses is generally insufficient, and more time is required
3) Starred courses are on 2 year rotation. This path assumes starting in an even year