What mathematics course should you take next?

Important note: This page does not contain information about the Mathematics and AQR Placement Process that incoming first-year (and some transfer) students must complete. Instead, this is a page of general information about what course a student might take next in mathematics.Which mathematics course you should take next depends, of course, on what your plans are. Are you a math major? science major? stats concentrator? The best way to determine which course to take next is to chat with a mathematics professor about your options. Visit with your current math prof, any other math prof you know and like, or talk to the Chair of the department, Prof. Jill Dietz (in Regents Math, 500). In the meantime, here are some good general guidelines.

  • Click here to see a list of majors and concentrations that either require or recommend certain mathematics, statistics, or computer science courses.
  • If you only need to take a math course in order to complete the AQR requirement, then consider Math 117 or a Statistics or Computer Science course (again, click here for more info).
  • If you have completed Calculus I (Math 120 or equivalent), then take Calculus II (either Math 126 or Math 128) next.
  • If you have completed Calculus II (Math 126/128 or equivalent), then take Elementary Linear Algebra (Math 220) next.
  • If you have completed Linear Algebra (Math 220), then you have several options.
    • Multivariable Calculus (Math 226) and Differential Equations I (Math 232) are good options for science and economics majors.
    • Probability Theory (Math 262) is good for all sorts of majors, especially if you are considering a Statistics concentration.
    • Discrete Mathematics (Math 232, offered every other year) is a fun course that is required for students hoping to become licensed teachers.
    • Operations Research (Math 266) is good for students interested in applications of mathematics, especially if you loved linear algebra.
    • The transition courses of Modern Computational Mathematics (Math 242), Real Analysis I (Math 244), and Abstract Algebra I (Math 252) are also options, but are typically taken after at least one other 200-level elective is taken after Linear Algebra.
      • In Modern Computational Mathematics you study mathematical problems from a computational point of view. You will use software such as R andMathematica extensively, though prior knowledge of these programs is not required.
      • In Real Analysis I you study some familiar topics from calculus (e.g. functions, limits, continuity, sequences) from a theoretical point of view. You will earn a WRI general education credit in this course by writing proofs of theorems.
      • In middle school your algebra course dealt with arithmetic, variables, and solving equations. The course Abstract Algebra I deals with all of this stuff too, but in a more abstract setting. Your will learn about algebra as a study of mathematical structures and get a flavor of what modern mathematics is all about. You will also earn a WRI general education credit in this course by writing proofs of theorems.
  • If you have completed a 200-level elective in addition to Linear Algebra, then the mathematical world is at your feet! Check in with a math professor to talk about what options are best for you, but you should probably look into taking a transition course (see the info above).

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